!__________________________________________________________________________________________ ! This module contains the Predicted Particle Property (P3) bulk microphysics scheme. ! ! ! ! This code was originally written by H. Morrison, MMM Division, NCAR (Dec 2012). ! ! Modification were made by J. Milbrandt, RPN, Environment Canada (July 2014). ! ! ! ! Three configurations of the P3 scheme are currently available: ! ! 1) specified droplet number (i.e. 1-moment cloud water), 1 ice category ! ! 2) predicted droplet number (i.e. 2-moment cloud water), 1 ice category ! ! 3) predicted droplet number (i.e. 2-moment cloud water), 2 ice categories ! ! ! ! The 2-moment cloud version is based on a specified aerosol distribution and ! ! does not include a subgrid-scale vertical velocity for droplet activation. Hence, ! ! this version should only be used for high-resolution simulations that resolve ! ! vertical motion driving droplet activation. ! ! ! ! For details see: Morrison and Milbrandt (2015) [J. Atmos. Sci., 72, 287-311] ! ! Milbrandt and Morrison (2016) [J. Atmos. Sci., 73, 975-995] ! ! ! ! For questions or bug reports, please contact: ! ! Hugh Morrison (morrison@ucar.edu), or ! ! Jason Milbrandt (jason.milbrandt@canada.ca) ! !__________________________________________________________________________________________! ! ! ! Version: 2.8.2.4 ! ! Last updated: 2018-02-06 ! !__________________________________________________________________________________________! MODULE MODULE_MP_P3 implicit none public :: mp_p3_wrapper_wrf,mp_p3_wrapper_wrf_2cat,mp_p3_wrapper_gem,p3_main,polysvp1 private :: gamma,derf,find_lookupTable_indices_1a,find_lookupTable_indices_1b, & find_lookupTable_indices_2,find_lookupTable_indices_3,get_cloud_dsd2, & get_rain_dsd2,calc_bulkRhoRime,impose_max_total_Ni,check_values,qv_sat ! ice microphysics lookup table array dimensions integer, private, parameter :: isize = 50 integer, private, parameter :: iisize = 25 integer, private, parameter :: zsize = 20 ! size of mom6 array in lookup_table (for future 3-moment) integer, private, parameter :: densize = 5 integer, private, parameter :: rimsize = 4 integer, private, parameter :: rcollsize = 30 integer, private, parameter :: tabsize = 12 ! number of quantities used from lookup table integer, private, parameter :: colltabsize = 2 ! number of ice-rain collection quantities used from lookup table integer, private, parameter :: collitabsize = 2 ! number of ice-ice collection quantities used from lookup table real, private, parameter :: real_rcollsize = real(rcollsize) real, private, dimension(densize,rimsize,isize,tabsize) :: itab !ice lookup table values !ice lookup table values for ice-rain collision/collection double precision, private, dimension(densize,rimsize,isize,rcollsize,colltabsize) :: itabcoll ! separated into itabcolli1 and itabcolli2, due to max of 7 dimensional arrays on some FORTRAN compilers double precision, private, dimension(iisize,rimsize,densize,iisize,rimsize,densize) :: itabcolli1 double precision, private, dimension(iisize,rimsize,densize,iisize,rimsize,densize) :: itabcolli2 ! integer switch for warm rain autoconversion/accretion schemes integer, private :: iparam ! droplet spectral shape parameter for mass spectra, used for Seifert and Beheng (2001) ! warm rain autoconversion/accretion option only (iparam = 1) real, private, dimension(16) :: dnu ! lookup table values for rain shape parameter mu_r real, private, dimension(150) :: mu_r_table ! lookup table values for rain number- and mass-weighted fallspeeds and ventilation parameters real, private, dimension(300,10) :: vn_table,vm_table,revap_table ! physical and mathematical constants real, private :: rhosur,rhosui,ar,br,f1r,f2r,ecr,rhow,kr,kc,bimm,aimm,rin,mi0,nccnst, & eci,eri,bcn,cpw,e0,cons1,cons2,cons3,cons4,cons5,cons6,cons7, & inv_rhow,qsmall,nsmall,bsmall,zsmall,cp,g,rd,rv,ep_2,inv_cp,mw,osm, & vi,epsm,rhoa,map,ma,rr,bact,inv_rm1,inv_rm2,sig1,nanew1,f11,f21,sig2, & nanew2,f12,f22,pi,thrd,sxth,piov3,piov6,diff_nucthrs,rho_rimeMin, & rho_rimeMax,inv_rho_rimeMax,max_total_Ni,dbrk,nmltratio,clbfact_sub, & clbfact_dep contains !==================================================================================================! SUBROUTINE p3_init(lookup_file_dir,nCat) !------------------------------------------------------------------------------------------! ! This subroutine initializes all physical constants and parameters needed by the P3 ! ! scheme, including reading in two lookup table files and creating a third. ! ! 'P3_INIT' be called at the first model time step, prior to first call to 'P3_MAIN'. ! !------------------------------------------------------------------------------------------! implicit none ! Passed arguments: character*(*), intent(in) :: lookup_file_dir !directory of the lookup tables integer, intent(in) :: nCat !number of free ice categories character(len=16), parameter :: version_p3 = '2.8.2' !version number of P3 package character(len=1024) :: version_header_table1 !version number from header, table 1 character(len=1024) :: version_header_table2 !version number from header, table 2 character(len=1024) :: lookup_file_1 !lookup table, main character(len=1024) :: lookup_file_2 !lookup table for ice-ice interactions character(len=1024) :: dumstr integer :: i,j,k,ii,jj,kk,jjj,jjj2,jjjj,jjjj2 real :: lamr,mu_r,lamold,dum,initlamr,dm,dum1,dum2,dum3,dum4,dum5, & dum6,dd,amg,vt,dia,vn,vm !------------------------------------------------------------------------------------------! lookup_file_1 = trim(lookup_file_dir)//'/'//'p3_lookup_table_1.dat-v'//trim(version_p3) lookup_file_2 = trim(lookup_file_dir)//'/'//'p3_lookup_table_2.dat-v'//trim(version_p3) !------------------------------------------------------------------------------------------! ! mathematical/optimization constants pi = 3.14159265 thrd = 1./3. sxth = 1./6. piov3 = pi*thrd piov6 = pi*sxth ! maximum total ice concentration (sum of all categories) max_total_Ni = 500.e+3 !(m) ! switch for warm-rain parameterization ! = 1 Seifert and Beheng 2001 ! = 2 Beheng 1994 ! = 3 Khairoutdinov and Kogan 2000 iparam = 3 ! droplet concentration (m-3) nccnst = 200.e+6 ! parameters for Seifert and Beheng (2001) autoconversion/accretion kc = 9.44e+9 kr = 5.78e+3 ! physical constants cp = 1005. inv_cp = 1./cp g = 9.816 rd = 287.15 rv = 461.51 ep_2 = 0.622 rhosur = 100000./(rd*273.15) rhosui = 60000./(rd*253.15) ar = 841.99667 br = 0.8 f1r = 0.78 f2r = 0.32 ecr = 1. rhow = 997. cpw = 4218. inv_rhow = 1.e-3 !inverse of (max.) density of liquid water ! limits for rime density [kg m-3] rho_rimeMin = 50. rho_rimeMax = 900. inv_rho_rimeMax = 1./rho_rimeMax ! minium allowable prognostic variables qsmall = 1.e-14 nsmall = 1.e-16 bsmall = qsmall*inv_rho_rimeMax !zsmall = 1.e-35 ! Bigg (1953) !bimm = 100. !aimm = 0.66 ! Barklie and Gokhale (1959) bimm = 2. aimm = 0.65 rin = 0.1e-6 mi0 = 4.*piov3*900.*1.e-18 eci = 0.5 eri = 1. bcn = 2. ! mean size for soft lambda_r limiter [microns] dbrk = 600.e-6 ! ratio of rain number produced to ice number loss from melting nmltratio = 0.2 ! saturation pressure at T = 0 C e0 = polysvp1(273.15,0) cons1 = piov6*rhow cons2 = 4.*piov3*rhow cons3 = 1./(cons2*(25.e-6)**3) cons4 = 1./(dbrk**3*pi*rhow) cons5 = piov6*bimm cons6 = piov6**2*rhow*bimm cons7 = 4.*piov3*rhow*(1.e-6)**3 ! aerosol/droplet activation parameters mw = 0.018 osm = 1. vi = 3. epsm = 0.9 rhoa = 1777. map = 0.132 ma = 0.0284 rr = 8.3187 bact = vi*osm*epsm*mw*rhoa/(map*rhow) ! inv_bact = (map*rhow)/(vi*osm*epsm*mw*rhoa) *** to replace /bact ** ! mode 1 inv_rm1 = 2.e+7 ! inverse aerosol mean size (m-1) sig1 = 2.0 ! aerosol standard deviation nanew1 = 300.e6 ! aerosol number mixing ratio (kg-1) f11 = 0.5*exp(2.5*(log(sig1))**2) f21 = 1. + 0.25*log(sig1) ! note: currently only set for a single mode, droplet activation code needs to ! be modified to include the second mode ! mode 2 inv_rm2 = 7.6923076e+5 ! inverse aerosol mean size (m-1) sig2 = 2.5 ! aerosol standard deviation nanew2 = 0. ! aerosol number mixing ratio (kg-1) f12 = 0.5*exp(2.5*(log(sig2))**2) f22 = 1. + 0.25*log(sig2) ! parameters for droplet mass spectral shape, used by Seifert and Beheng (2001) ! warm rain scheme only (iparam = 1) dnu(1) = 0. dnu(2) = -0.557 dnu(3) = -0.430 dnu(4) = -0.307 dnu(5) = -0.186 dnu(6) = -0.067 dnu(7) = 0.050 dnu(8) = 0.167 dnu(9) = 0.282 dnu(10) = 0.397 dnu(11) = 0.512 dnu(12) = 0.626 dnu(13) = 0.739 dnu(14) = 0.853 dnu(15) = 0.966 dnu(16) = 0.966 ! calibration factors for ice deposition and sublimation ! These are adjustable ad hoc factors used to increase or decrease deposition and/or ! sublimation rates. The representation of the ice capacitances are highly simplified ! and the appropriate values in the diffusional growth equation are uncertain. clbfact_dep = 1. clbfact_sub = 1. !------------------------------------------------------------------------------------------! ! read in ice microphysics table print* print*, ' P3 microphysics: v',version_p3 print*, ' P3_INIT (reading/creating look-up tables) ...' open(unit=10,file=lookup_file_1, status='old') !-- check that table version is correct: read(10,*) dumstr,version_header_table1 if (trim(version_p3) /= version_header_table1(1:5)) then print* print*, '*** WARNING in P3_INIT ***' print*, ' P3 package version: ',trim(version_p3) print*, ' Lookup table 1 version: ',trim(version_header_table1) print*, '******************************' print* !stop endif read(10,*) do jj = 1,densize do ii = 1,rimsize do i = 1,isize read(10,*) dum,dum,dum,dum,itab(jj,ii,i,1),itab(jj,ii,i,2), & itab(jj,ii,i,3),itab(jj,ii,i,4),itab(jj,ii,i,5), & itab(jj,ii,i,6),itab(jj,ii,i,7),itab(jj,ii,i,8),dum, & itab(jj,ii,i,9),itab(jj,ii,i,10),itab(jj,ii,i,11), & itab(jj,ii,i,12) enddo ! read in table for ice-rain collection do i = 1,isize do j = 1,rcollsize read(10,*) dum,dum,dum,dum,dum,itabcoll(jj,ii,i,j,1), & itabcoll(jj,ii,i,j,2),dum itabcoll(jj,ii,i,j,1) = dlog10(itabcoll(jj,ii,i,j,1)) itabcoll(jj,ii,i,j,2) = dlog10(itabcoll(jj,ii,i,j,2)) enddo enddo enddo enddo ! hm add fix to prevent end-of-file error in nested runs, 3/28/14 close(10) ! read in ice-ice collision lookup table !------------------------------------------------------------------------------------------! ! *** used for multicategory only *** if (nCat>1) then open(unit=10,file=lookup_file_2,status='old') !-- check that table version is correct: read(10,*) dumstr,version_header_table2 if (trim(version_p3) /= version_header_table2(1:5)) then print* print*, '*** WARNING in P3_INIT ***' print*, ' P3 package version: ',trim(version_p3) print*, ' Lookup table 2 version: ',trim(version_header_table2) print*, '******************************' print* !stop endif read(10,*) do i = 1,iisize do jjj = 1,rimsize do jjjj = 1,densize do ii = 1,iisize do jjj2 = 1,rimsize do jjjj2 = 1,densize read(10,*) dum,dum,dum,dum,dum,dum,dum, & itabcolli1(i,jjj,jjjj,ii,jjj2,jjjj2), & itabcolli2(i,jjj,jjjj,ii,jjj2,jjjj2) enddo enddo enddo enddo enddo enddo close(unit=10) else ! for single cat itabcolli1 = 0. itabcolli2 = 0. endif !------------------------------------------------------------------------------------------! ! Generate lookup table for rain shape parameter mu_r ! this is very fast so it can be generated at the start of each run ! make a 150x1 1D lookup table, this is done in parameter ! space of a scaled mean size proportional qr/Nr -- initlamr !print*, ' Generating rain lookup-table ...' do i = 1,150 ! loop over lookup table values initlamr = 1./((real(i)*2.)*1.e-6 + 250.e-6) ! iterate to get mu_r ! mu_r-lambda relationship is from Cao et al. (2008), eq. (7) ! start with first guess, mu_r = 0 mu_r = 0. do ii=1,50 lamr = initlamr*((mu_r+3.)*(mu_r+2.)*(mu_r+1.)/6.)**thrd ! new estimate for mu_r based on lambda ! set max lambda in formula for mu_r to 20 mm-1, so Cao et al. ! formula is not extrapolated beyond Cao et al. data range dum = min(20.,lamr*1.e-3) mu_r = max(0.,-0.0201*dum**2+0.902*dum-1.718) ! if lambda is converged within 0.1%, then exit loop if (ii.ge.2) then if (abs((lamold-lamr)/lamr).lt.0.001) goto 111 end if lamold = lamr enddo 111 continue ! assign lookup table values mu_r_table(i) = mu_r enddo !....................................................................... ! Generate lookup table for rain fallspeed and ventilation parameters ! the lookup table is two dimensional as a function of number-weighted mean size ! proportional to qr/Nr and shape parameter mu_r mu_r_loop: do ii = 1,10 !** change 10 to 9, since range of mu_r is 0-8 CONFIRM !mu_r_loop: do ii = 1,9 !** change 10 to 9, since range of mu_r is 0-8 mu_r = real(ii-1) ! values of mu ! loop over number-weighted mean size meansize_loop: do jj = 1,300 if (jj.le.20) then dm = (real(jj)*10.-5.)*1.e-6 ! mean size [m] elseif (jj.gt.20) then dm = (real(jj-20)*30.+195.)*1.e-6 ! mean size [m] endif lamr = (mu_r+1)/dm ! do numerical integration over PSD dum1 = 0. ! numerator, number-weighted fallspeed dum2 = 0. ! denominator, number-weighted fallspeed dum3 = 0. ! numerator, mass-weighted fallspeed dum4 = 0. ! denominator, mass-weighted fallspeed dum5 = 0. ! term for ventilation factor in evap dd = 2. ! loop over PSD to numerically integrate number and mass-weighted mean fallspeeds do kk = 1,10000 dia = (real(kk)*dd-dd*0.5)*1.e-6 ! size bin [m] amg = piov6*997.*dia**3 ! mass [kg] amg = amg*1000. ! convert [kg] to [g] !get fallspeed as a function of size [m s-1] if (dia*1.e+6.le.134.43) then vt = 4.5795e+3*amg**(2.*thrd) elseif (dia*1.e+6.lt.1511.64) then vt = 4.962e+1*amg**thrd elseif (dia*1.e+6.lt.3477.84) then vt = 1.732e+1*amg**sxth else vt = 9.17 endif !note: factor of 4.*mu_r is non-answer changing and only needed to ! prevent underflow/overflow errors, same with 3.*mu_r for dum5 dum1 = dum1 + vt*10.**(mu_r*alog10(dia)+4.*mu_r)*exp(-lamr*dia)*dd*1.e-6 dum2 = dum2 + 10.**(mu_r*alog10(dia)+4.*mu_r)*exp(-lamr*dia)*dd*1.e-6 dum3 = dum3 + vt*10.**((mu_r+3.)*alog10(dia)+4.*mu_r)*exp(-lamr*dia)*dd*1.e-6 dum4 = dum4 + 10.**((mu_r+3.)*alog10(dia)+4.*mu_r)*exp(-lamr*dia)*dd*1.e-6 dum5 = dum5 + (vt*dia)**0.5*10.**((mu_r+1.)*alog10(dia)+3.*mu_r)*exp(-lamr*dia)*dd*1.e-6 enddo ! kk-loop (over PSD) dum2 = max(dum2, 1.e-30) !to prevent divide-by-zero below dum4 = max(dum4, 1.e-30) !to prevent divide-by-zero below dum5 = max(dum5, 1.e-30) !to prevent log10-of-zero below vn_table(jj,ii) = dum1/dum2 vm_table(jj,ii) = dum3/dum4 revap_table(jj,ii) = 10.**(alog10(dum5)+(mu_r+1.)*alog10(lamr)-(3.*mu_r)) enddo meansize_loop enddo mu_r_loop !....................................................................... print*, ' P3_INIT DONE.' print* END SUBROUTINE P3_INIT !==================================================================================================! SUBROUTINE mp_p3_wrapper_wrf(th_3d,qv_3d,qc_3d,qr_3d,qnr_3d, & th_old_3d,qv_old_3d, & pii,p,dz,w,dt,itimestep, & rainnc,rainncv,sr,snownc,snowncv,n_iceCat, & ids, ide, jds, jde, kds, kde , & ims, ime, jms, jme, kms, kme , & its, ite, jts, jte, kts, kte , & diag_zdbz_3d,diag_effc_3d,diag_effi_3d, & diag_vmi_3d,diag_di_3d,diag_rhopo_3d, & qi1_3d,qni1_3d,qir1_3d,qib1_3d,nc_3d) !------------------------------------------------------------------------------------------! ! This subroutine is the main WRF interface with the P3 microphysics scheme. It takes ! ! 3D variables form the driving model and passes 2D slabs (i,k) to the main microphysics ! ! subroutine ('P3_MAIN') over a j-loop. For each slab, 'P3_MAIN' updates the prognostic ! ! variables (hydrometeor variables, potential temperature, and water vapor). The wrapper ! ! also updates the accumulated precipitation arrays and then passes back them, the ! ! updated 3D fields, and some diagnostic fields to the driver model. ! ! ! ! This version of the WRF wrapper works with WRFV3.8. ! !------------------------------------------------------------------------------------------! !--- input: ! pii --> Exner function (nondimensional pressure) (currently not used!) ! p --> pressure (pa) ! dz --> height difference across vertical levels (m) ! w --> vertical air velocity (m/s) ! dt --> time step (s) ! itimestep --> integer time step counter ! n_iceCat --> number of ice-phase categories !--- input/output: ! th_3d --> theta (K) ! qv_3d --> vapor mass mixing ratio (kg/kg) ! qc_3d --> cloud water mass mixing ratio (kg/kg) ! qr_3d --> rain mass mixing ratio (kg/kg) ! qnr_3d --> rain number mixing ratio (#/kg) ! qi1_3d --> total ice mixing ratio (kg/kg) ! qni1_3d --> ice number mixing ratio (#/kg) ! qir1_3d --> rime ice mass mixing ratio (kg/kg) ! qib1_3d --> ice rime volume mixing ratio (m^-3 kg^-1) !--- output: ! rainnc --> accumulated surface precip (mm) ! rainncv --> one time step accumulated surface precip (mm) ! sr --> ice to liquid surface precip ratio ! snownc --> accumulated surface ice precip (mm) ! snowncv --> one time step accumulated surface ice precip (mm) ! ids...kte --> integer domain/tile bounds ! diag_zdbz_3d --> reflectivity (dBZ) ! diag_effc_3d --> cloud droplet effective radius (m) ! diag_effi_3d --> ice effective radius (m) ! diag_vmi_3d --> mean mass weighted ice fallspeed (m/s) ! diag_di_3d --> mean mass weighted ice size (m) ! diag_rhopo_3d --> mean mass weighted ice density (kg/m3) implicit none !--- arguments: integer, intent(in) :: ids, ide, jds, jde, kds, kde , & ims, ime, jms, jme, kms, kme , & its, ite, jts, jte, kts, kte real, dimension(ims:ime, kms:kme, jms:jme), intent(inout):: th_3d,qv_3d,qc_3d,qr_3d, & qnr_3d,diag_zdbz_3d,diag_effc_3d,diag_effi_3d,diag_vmi_3d,diag_di_3d, & diag_rhopo_3d,th_old_3d,qv_old_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(inout):: qi1_3d,qni1_3d,qir1_3d, & qib1_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(inout), optional :: nc_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(in) :: pii,p,dz,w real, dimension(ims:ime, jms:jme), intent(inout) :: RAINNC,RAINNCV,SR,SNOWNC,SNOWNCV real, intent(in) :: dt integer, intent(in) :: itimestep integer, intent(in) :: n_iceCat !--- local variables/parameters: character(len=16), parameter :: model = 'WRF' real, dimension(ims:ime, kms:kme) ::nc,ssat real, dimension(its:ite) :: pcprt_liq,pcprt_sol real :: dum1,dum2 integer :: i,k,j integer, parameter :: n_diag_3d = 1 ! number of user-defined diagnostic fields integer, parameter :: n_diag_2d = 1 ! number of user-defined diagnostic fields real, dimension(ims:ime, kms:kme, n_diag_3d) :: diag_3d real, dimension(ims:ime, n_diag_2d) :: diag_2d logical :: log_predictNc logical, parameter :: typeDiags_ON = .false. !------------------------------------------------------------------------------------------! log_predictNc=.false. if (present(nc_3d)) log_predictNc = .true. do j = jts,jte ! j loop (north-south) if (log_predictNc) then nc(its:ite,kts:kte)=nc_3d(its:ite,kts:kte,j) ! if Nc is specified then set nc array to zero else nc=0. endif ! note: code for prediction of ssat not currently avaiable, set 2D array to 0 ssat=0. call P3_MAIN(qc_3d(its:ite,kts:kte,j),nc(its:ite,kts:kte), & qr_3d(its:ite,kts:kte,j),qnr_3d(its:ite,kts:kte,j), & th_old_3d(its:ite,kts:kte,j),th_3d(its:ite,kts:kte,j),qv_old_3d(its:ite,kts:kte,j), & qv_3d(its:ite,kts:kte,j),dt,qi1_3d(its:ite,kts:kte,j), & qir1_3d(its:ite,kts:kte,j),qni1_3d(its:ite,kts:kte,j), & qib1_3d(its:ite,kts:kte,j),ssat(its:ite,kts:kte), & W(its:ite,kts:kte,j),P(its:ite,kts:kte,j), & DZ(its:ite,kts:kte,j),itimestep,pcprt_liq,pcprt_sol,its,ite,kts,kte,n_iceCat, & diag_zdbz_3d(its:ite,kts:kte,j),diag_effc_3d(its:ite,kts:kte,j), & diag_effi_3d(its:ite,kts:kte,j),diag_vmi_3d(its:ite,kts:kte,j), & diag_di_3d(its:ite,kts:kte,j),diag_rhopo_3d(its:ite,kts:kte,j), & n_diag_2d,diag_2d(its:ite,1:n_diag_2d), & n_diag_3d,diag_3d(its:ite,kts:kte,1:n_diag_3d), & log_predictNc,typeDiags_ON,trim(model)) !surface precipitation output: dum1 = 1000.*dt RAINNC(its:ite,j) = RAINNC(its:ite,j) + pcprt_liq(:)*dum1 ! conversion from m/s to mm/time step RAINNCV(its:ite,j) = pcprt_liq(:)*dum1 ! conversion from m/s to mm/time step SNOWNC(its:ite,j) = SNOWNC(its:ite,j) + pcprt_sol(:)*dum1 ! conversion from m/s to mm/time step SNOWNCV(its:ite,j) = pcprt_sol(:)*dum1 ! conversion from m/s to mm/time step SR(its:ite,j) = pcprt_sol(:)/(pcprt_liq(:)+1.E-12) ! solid-to-liquid ratio !convert nc array from 2D to 3D if Nc is predicted if (log_predictNc) then nc_3d(its:ite,kts:kte,j)=nc(its:ite,kts:kte) endif !set background effective radii (i.e. with no explicit condensate) to prescribed values: ! where (qc_3d(:,:,j) < 1.e-14) diag_effc_3d(:,:,j) = 10.e-6 ! where (qitot < 1.e-14) diag_effi = 25.e-6 enddo ! j loop END SUBROUTINE mp_p3_wrapper_wrf !------------------------------------------------------------------------------------------! SUBROUTINE mp_p3_wrapper_wrf_2cat(th_3d,qv_3d,qc_3d,qr_3d,qnr_3d, & th_old_3d,qv_old_3d, & pii,p,dz,w,dt,itimestep, & rainnc,rainncv,sr,snownc,snowncv,n_iceCat, & ids, ide, jds, jde, kds, kde , & ims, ime, jms, jme, kms, kme , & its, ite, jts, jte, kts, kte , & diag_zdbz_3d,diag_effc_3d,diag_effi_3d, & diag_vmi_3d,diag_di_3d,diag_rhopo_3d, & diag_vmi2_3d,diag_di2_3d,diag_rhopo2_3d, & qi1_3d,qni1_3d,qir1_3d,qib1_3d, & qi2_3d,qni2_3d,qir2_3d,qib2_3d,nc_3d) !------------------------------------------------------------------------------------------! ! This subroutine is the main WRF interface with the P3 microphysics scheme. It takes ! ! 3D variables form the driving model and passes 2D slabs (i,k) to the main microphysics ! ! subroutine ('P3_MAIN') over a j-loop. For each slab, 'P3_MAIN' updates the prognostic ! ! variables (hydrometeor variables, potential temperature, and water vapor). The wrapper ! ! also updates the accumulated precipitation arrays and then passes back them, the ! ! updated 3D fields, and some diagnostic fields to the driver model. ! ! ! ! This version of the WRF wrapper works with WRFV3.8. ! !------------------------------------------------------------------------------------------! !--- input: ! pii --> Exner function (nondimensional pressure) (currently not used!) ! p --> pressure (pa) ! dz --> height difference across vertical levels (m) ! w --> vertical air velocity (m/s) ! dt --> time step (s) ! itimestep --> integer time step counter ! n_iceCat --> number of ice-phase categories !--- input/output: ! th_3d --> theta (K) ! qv_3d --> vapor mass mixing ratio (kg/kg) ! qc_3d --> cloud water mass mixing ratio (kg/kg) ! qr_3d --> rain mass mixing ratio (kg/kg) ! qnr_3d --> rain number mixing ratio (#/kg) ! qi1_3d --> total ice mixing ratio (kg/kg) ! qni1_3d --> ice number mixing ratio (#/kg) ! qir1_3d --> rime ice mass mixing ratio (kg/kg) ! qib1_3d --> ice rime volume mixing ratio (m^-3 kg^-1) !--- output: ! rainnc --> accumulated surface precip (mm) ! rainncv --> one time step accumulated surface precip (mm) ! sr --> ice to liquid surface precip ratio ! snownc --> accumulated surface ice precip (mm) ! snowncv --> one time step accumulated surface ice precip (mm) ! ids...kte --> integer domain/tile bounds ! diag_zdbz_3d --> reflectivity (dBZ) ! diag_effc_3d --> cloud droplet effective radius (m) ! diag_effi_3d --> ice effective radius (m) ! diag_vmi_3d --> mean mass weighted ice fallspeed category 1 (m/s) ! diag_di_3d --> mean mass weighted ice size category 1 (m) ! diag_rhopo_3d --> mean mass weighted ice density category 1 (kg/m3) ! diag_vmi2_3d --> mean mass weighted ice fallspeed category 2 (m/s) ! diag_di2_3d --> mean mass weighted ice size category 2 (m) ! diag_rhopo2_3d --> mean mass weighted ice density category 2 (kg/m3) implicit none !--- arguments: integer, intent(in) :: ids, ide, jds, jde, kds, kde , & ims, ime, jms, jme, kms, kme , & its, ite, jts, jte, kts, kte real, dimension(ims:ime, kms:kme, jms:jme), intent(inout):: th_3d,qv_3d,qc_3d,qr_3d, & qnr_3d,diag_zdbz_3d,diag_effc_3d,diag_effi_3d,diag_vmi_3d,diag_di_3d, & diag_rhopo_3d,th_old_3d,qv_old_3d, & diag_vmi2_3d,diag_di2_3d,diag_rhopo2_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(inout):: qi1_3d,qni1_3d,qir1_3d, & qib1_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(inout) :: qi2_3d,qni2_3d, & qir2_3d,qib2_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(inout), optional :: nc_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(in) :: pii,p,dz,w real, dimension(ims:ime, jms:jme), intent(inout) :: RAINNC,RAINNCV,SR,SNOWNC,SNOWNCV real, intent(in) :: dt integer, intent(in) :: itimestep integer, intent(in) :: n_iceCat !--- local variables/parameters: character(len=16), parameter :: model = 'WRF' real, dimension(ims:ime, kms:kme) ::nc,ssat ! note: hard-wired for two ice categories real, dimension(ims:ime, kms:kme, 2) :: qitot,qirim,nitot,birim,diag_di,diag_vmi, & diag_rhopo,diag_effi real, dimension(its:ite) :: pcprt_liq,pcprt_sol real :: dum1,dum2 integer :: i,k,j integer, parameter :: n_diag_3d = 1 ! number of user-defined diagnostic fields integer, parameter :: n_diag_2d = 1 ! number of user-defined diagnostic fields real, dimension(ims:ime, kms:kme, n_diag_3d) :: diag_3d real, dimension(ims:ime, n_diag_2d) :: diag_2d logical :: log_predictNc logical, parameter :: typeDiags_ON = .false. !------------------------------------------------------------------------------------------! log_predictNc=.false. if (present(nc_3d)) log_predictNc = .true. do j = jts,jte ! j loop (north-south) if (log_predictNc) then nc(its:ite,kts:kte)=nc_3d(its:ite,kts:kte,j) ! if Nc is specified then set nc array to zero else nc=0. endif ! note: code for prediction of ssat not currently avaiable, set 2D array to 0 ssat=0. !contruct full ice arrays from individual category arrays: qitot(:,:,1) = qi1_3d(:,:,j) qirim(:,:,1) = qir1_3d(:,:,j) nitot(:,:,1) = qni1_3d(:,:,j) birim(:,:,1) = qib1_3d(:,:,j) qitot(:,:,2) = qi2_3d(:,:,j) qirim(:,:,2) = qir2_3d(:,:,j) nitot(:,:,2) = qni2_3d(:,:,j) birim(:,:,2) = qib2_3d(:,:,j) call P3_MAIN(qc_3d(its:ite,kts:kte,j),nc(its:ite,kts:kte), & qr_3d(its:ite,kts:kte,j),qnr_3d(its:ite,kts:kte,j), & th_old_3d(its:ite,kts:kte,j),th_3d(its:ite,kts:kte,j),qv_old_3d(its:ite,kts:kte,j), & qv_3d(its:ite,kts:kte,j),dt,qitot(its:ite,kts:kte,1:n_iceCat), & qirim(its:ite,kts:kte,1:n_iceCat),nitot(its:ite,kts:kte,1:n_iceCat), & birim(its:ite,kts:kte,1:n_iceCat),ssat(its:ite,kts:kte), & W(its:ite,kts:kte,j),P(its:ite,kts:kte,j), & DZ(its:ite,kts:kte,j),itimestep,pcprt_liq,pcprt_sol,its,ite,kts,kte,n_iceCat, & diag_zdbz_3d(its:ite,kts:kte,j),diag_effc_3d(its:ite,kts:kte,j), & diag_effi(its:ite,kts:kte,1:n_iceCat),diag_vmi(its:ite,kts:kte,1:n_iceCat), & diag_di(its:ite,kts:kte,1:n_iceCat),diag_rhopo(its:ite,kts:kte,1:n_iceCat), & n_diag_2d,diag_2d(its:ite,1:n_diag_2d), & n_diag_3d,diag_3d(its:ite,kts:kte,1:n_diag_3d), & log_predictNc,typeDiags_ON,trim(model)) !surface precipitation output: dum1 = 1000.*dt RAINNC(its:ite,j) = RAINNC(its:ite,j) + pcprt_liq(:)*dum1 ! conversion from m/s to mm/time step RAINNCV(its:ite,j) = pcprt_liq(:)*dum1 ! conversion from m/s to mm/time step SNOWNC(its:ite,j) = SNOWNC(its:ite,j) + pcprt_sol(:)*dum1 ! conversion from m/s to mm/time step SNOWNCV(its:ite,j) = pcprt_sol(:)*dum1 ! conversion from m/s to mm/time step SR(its:ite,j) = pcprt_sol(:)/(pcprt_liq(:)+1.E-12) ! solid-to-liquid ratio !convert nc array from 2D to 3D if Nc is predicted if (log_predictNc) then nc_3d(its:ite,kts:kte,j)=nc(its:ite,kts:kte) endif !set background effective radii (i.e. with no explicit condensate) to prescribed values: ! where (qc_3d(:,:,j) < 1.e-14) diag_effc_3d(:,:,j) = 10.e-6 ! where (qitot < 1.e-14) diag_effi = 25.e-6 !decompose full ice arrays into individual category arrays: qi1_3d(its:ite,kts:kte,j) = qitot(its:ite,kts:kte,1) qir1_3d(its:ite,kts:kte,j) = qirim(its:ite,kts:kte,1) qni1_3d(its:ite,kts:kte,j) = nitot(its:ite,kts:kte,1) qib1_3d(its:ite,kts:kte,j) = birim(its:ite,kts:kte,1) qi2_3d(its:ite,kts:kte,j) = qitot(its:ite,kts:kte,2) qir2_3d(its:ite,kts:kte,j) = qirim(its:ite,kts:kte,2) qni2_3d(its:ite,kts:kte,j) = nitot(its:ite,kts:kte,2) qib2_3d(its:ite,kts:kte,j) = birim(its:ite,kts:kte,2) diag_vmi_3d(its:ite,kts:kte,j) = diag_vmi(its:ite,kts:kte,1) diag_di_3d(its:ite,kts:kte,j) = diag_di(its:ite,kts:kte,1) diag_rhopo_3d(its:ite,kts:kte,j) = diag_rhopo(its:ite,kts:kte,1) diag_vmi2_3d(its:ite,kts:kte,j) = diag_vmi(its:ite,kts:kte,2) diag_di2_3d(its:ite,kts:kte,j) = diag_di(its:ite,kts:kte,2) diag_rhopo2_3d(its:ite,kts:kte,j) = diag_rhopo(its:ite,kts:kte,2) do i=its,ite do k=kts,kte ! for output fallspeed, size, and density, use mass-weighting of categories ! if ((qitot(i,k,1)+qitot(i,k,2)).ge.qsmall) then ! diag_vmi_3d(i,k,j) = (diag_vmi(i,k,1)*qitot(i,k,1)+diag_vmi(i,k,2)*qitot(i,k,2))/(qitot(i,k,1)+qitot(i,k,2)) ! diag_di_3d(i,k,j) = (diag_di(i,k,1)*qitot(i,k,1)+diag_di(i,k,2)*qitot(i,k,2))/(qitot(i,k,1)+qitot(i,k,2)) ! diag_rhopo_3d(i,k,j) = (diag_rhopo(i,k,1)*qitot(i,k,1)+diag_rhopo(i,k,2)*qitot(i,k,2))/(qitot(i,k,1)+qitot(i,k,2)) ! else ! set to default values of 0 if ice is not present ! diag_vmi_3d(i,k,j) = 0. ! diag_di_3d(i,k,j) = 0. ! diag_rhopo_3d(i,k,j) = 0. ! end if ! for the combined effective radius, we need to approriately weight by mass and projected area if (qitot(i,k,1).ge.qsmall) then dum1=qitot(i,k,1)/diag_effi(i,k,1) else dum1=0. end if if (qitot(i,k,2).ge.qsmall) then dum2=qitot(i,k,2)/diag_effi(i,k,2) else dum2=0. end if diag_effi_3d(i,k,j)=25.e-6 ! set to default 25 microns if (qitot(i,k,1).ge.qsmall.or.qitot(i,k,2).ge.qsmall) then diag_effi_3d(i,k,j)=(qitot(i,k,1)+qitot(i,k,2))/(dum1+dum2) end if end do end do enddo ! j loop END SUBROUTINE mp_p3_wrapper_wrf_2cat !==================================================================================================! SUBROUTINE mp_p3_wrapper_gem(qvap_m,qvap,temp_m,temp,dt,dt_max,ww,psfc,gztherm,sigma,kount, & trnch,ni,nk,prt_liq,prt_sol,prt_drzl,prt_rain,prt_crys,prt_snow, & prt_grpl,prt_pell,prt_hail,prt_sndp,diag_Zet,diag_Zec,diag_effc, & qc,nc,qr,nr,n_iceCat,n_diag_2d,diag_2d,n_diag_3d,diag_3d, & qitot_1,qirim_1,nitot_1,birim_1,diag_effi_1, & qitot_2,qirim_2,nitot_2,birim_2,diag_effi_2, & qitot_3,qirim_3,nitot_3,birim_3,diag_effi_3, & qitot_4,qirim_4,nitot_4,birim_4,diag_effi_4) !------------------------------------------------------------------------------------------! ! This wrapper subroutine is the main GEM interface with the P3 microphysics scheme. It ! ! prepares some necessary fields (converts temperature to potential temperature, etc.), ! ! passes 2D slabs (i,k) to the main microphysics subroutine ('P3_MAIN') -- which updates ! ! the prognostic variables (hydrometeor variables, temperature, and water vapor) and ! ! computes various diagnostics fields (precipitation rates, reflectivity, etc.) -- and ! ! finally converts the updated potential temperature to temperature. ! !------------------------------------------------------------------------------------------! implicit none !----- input/ouput arguments: ------------------------------------------------------------! integer, intent(in) :: ni ! number of columns in slab - integer, intent(in) :: nk ! number of vertical levels - integer, intent(in) :: n_iceCat ! number of ice categories - integer, intent(in) :: kount ! time step counter - integer, intent(in) :: trnch ! number of slice - integer, intent(in) :: n_diag_2d ! number of 2D diagnostic fields integer, intent(in) :: n_diag_3d ! number of 3D diagnostic fields real, intent(in) :: dt ! model time step s real, intent(in) :: dt_max ! maximum timestep for microphysics s real, intent(inout), dimension(ni,nk) :: qc ! cloud mixing ratio, mass kg kg-1 real, intent(inout), dimension(ni,nk) :: nc ! cloud mixing ratio, number # kg-1 real, intent(inout), dimension(ni,nk) :: qr ! rain mixing ratio, mass kg kg-1 real, intent(inout), dimension(ni,nk) :: nr ! rain mixing ratio, number # kg-1 real, intent(inout), dimension(ni,nk) :: qitot_1 ! ice mixing ratio, mass (total) kg kg-1 real, intent(inout), dimension(ni,nk) :: qirim_1 ! ice mixing ratio, mass (rime) kg kg-1 real, intent(inout), dimension(ni,nk) :: nitot_1 ! ice mixing ratio, number # kg-1 real, intent(inout), dimension(ni,nk) :: birim_1 ! ice mixing ratio, volume m3 kg-1 real, intent(out), dimension(ni,nk) :: diag_effi_1 ! ice effective radius, (cat 1) m real, intent(inout), dimension(ni,nk), optional :: qitot_2 ! ice mixing ratio, mass (total) kg kg-1 real, intent(inout), dimension(ni,nk), optional :: qirim_2 ! ice mixing ratio, mass (rime) kg kg-1 real, intent(inout), dimension(ni,nk), optional :: nitot_2 ! ice mixing ratio, number # kg-1 real, intent(inout), dimension(ni,nk), optional :: birim_2 ! ice mixing ratio, volume m3 kg-1 real, intent(out), dimension(ni,nk), optional :: diag_effi_2 ! ice effective radius, (cat 2) m real, intent(inout), dimension(ni,nk), optional :: qitot_3 ! ice mixing ratio, mass (total) kg kg-1 real, intent(inout), dimension(ni,nk), optional :: qirim_3 ! ice mixing ratio, mass (rime) kg kg-1 real, intent(inout), dimension(ni,nk), optional :: nitot_3 ! ice mixing ratio, number # kg-1 real, intent(inout), dimension(ni,nk), optional :: birim_3 ! ice mixing ratio, volume m3 kg-1 real, intent(out), dimension(ni,nk), optional :: diag_effi_3 ! ice effective radius, (cat 3) m real, intent(inout), dimension(ni,nk), optional :: qitot_4 ! ice mixing ratio, mass (total) kg kg-1 real, intent(inout), dimension(ni,nk), optional :: qirim_4 ! ice mixing ratio, mass (rime) kg kg-1 real, intent(inout), dimension(ni,nk), optional :: nitot_4 ! ice mixing ratio, number # kg-1 real, intent(inout), dimension(ni,nk), optional :: birim_4 ! ice mixing ratio, volume m3 kg-1 real, intent(out), dimension(ni,nk), optional :: diag_effi_4 ! ice effective radius, (cat 4) m real, intent(inout), dimension(ni,nk) :: qvap_m ! vapor mixing ratio (previous time) kg kg-1 real, intent(inout), dimension(ni,nk) :: qvap ! vapor mixing ratio, mass kg kg-1 real, intent(inout), dimension(ni,nk) :: temp_m ! temperature (previous time step) K real, intent(inout), dimension(ni,nk) :: temp ! temperature K real, intent(in), dimension(ni) :: psfc ! surface air pressure Pa real, intent(in), dimension(ni,nk) :: gztherm ! height AGL of thermodynamic levels m real, intent(in), dimension(ni,nk) :: sigma ! sigma = p(k,:)/psfc(:) real, intent(in), dimension(ni,nk) :: ww ! vertical motion m s-1 real, intent(out), dimension(ni) :: prt_liq ! precipitation rate, total liquid m s-1 real, intent(out), dimension(ni) :: prt_sol ! precipitation rate, total solid m s-1 real, intent(out), dimension(ni) :: prt_drzl ! precipitation rate, drizzle m s-1 real, intent(out), dimension(ni) :: prt_rain ! precipitation rate, rain m s-1 real, intent(out), dimension(ni) :: prt_crys ! precipitation rate, ice cystals m s-1 real, intent(out), dimension(ni) :: prt_snow ! precipitation rate, snow m s-1 real, intent(out), dimension(ni) :: prt_grpl ! precipitation rate, graupel m s-1 real, intent(out), dimension(ni) :: prt_pell ! precipitation rate, ice pellets m s-1 real, intent(out), dimension(ni) :: prt_hail ! precipitation rate, hail m s-1 real, intent(out), dimension(ni) :: prt_sndp ! precipitation rate, unmelted snow m s-1 real, intent(out), dimension(ni,nk) :: diag_Zet ! equivalent reflectivity, 3D dBZ real, intent(out), dimension(ni) :: diag_Zec ! equivalent reflectivity, col-max dBZ real, intent(out), dimension(ni,nk) :: diag_effc ! effective radius, cloud m real, intent(out), dimension(ni,n_diag_2d) :: diag_2d ! user-defined 2D diagnostic fields real, intent(out), dimension(ni,nk,n_diag_3d) :: diag_3d ! user-defined 3D diagnostic fields !----------------------------------------------------------------------------------------! !----- local variables and parameters: real, dimension(ni,nk,n_iceCat) :: qitot ! ice mixing ratio, mass (total) kg kg-1 real, dimension(ni,nk,n_iceCat) :: qirim ! ice mixing ratio, mass (rime) kg kg-1 real, dimension(ni,nk,n_iceCat) :: nitot ! ice mixing ratio, number # kg-1 real, dimension(ni,nk,n_iceCat) :: birim ! ice mixing ratio, volume m3 kg-1 real, dimension(ni,nk,n_iceCat) :: diag_effi ! effective radius, ice m real, dimension(ni,nk,n_iceCat) :: diag_vmi ! mass-weighted fall speed, ice m s-1 (returned but not used) real, dimension(ni,nk,n_iceCat) :: diag_di ! mean diameter, ice m (returned but not used) real, dimension(ni,nk,n_iceCat) :: diag_rhoi ! bulk density, ice kg m-3 (returned but not used) real, dimension(ni,nk) :: theta_m ! potential temperature (previous step) K real, dimension(ni,nk) :: theta ! potential temperature K real, dimension(ni,nk) :: pres ! pressure Pa real, dimension(ni,nk) :: rho_air ! air density kg m-3 real, dimension(ni,nk) :: DP ! difference in pressure between levels Pa real, dimension(ni,nk) :: DZ ! difference in height between levels m real, dimension(ni,nk) :: ssat ! supersaturation real, dimension(ni) :: prt_liq_ave,prt_sol_ave,rn1_ave,rn2_ave,sn1_ave, & ! ave pcp rates over full timestep sn2_ave,sn3_ave,pe1_ave,pe2_ave,snd_ave real :: dt_mp ! timestep used by microphsyics (for substepping) real :: tmp1 integer :: i,k,ktop,kbot,kdir,i_strt,k_strt integer :: i_substep,n_substep logical, parameter :: log_predictNc = .true. ! temporary; to be put as GEM namelist logical, parameter :: typeDiags_ON = .true. ! switch for hydrometeor/precip type diagnostics character(len=16), parameter :: model = 'GEM' !----------------------------------------------------------------------------------------! !#include "tdpack_const.hf" !No longer used .. commented code kept in for now i_strt = 1 ! beginning index of slab k_strt = 1 ! beginning index of column ktop = 1 ! k index of top level kbot = nk ! k index of bottom level kdir = -1 ! direction of vertical leveling for 1=bottom, nk=top !compute time step and number of steps for substepping n_substep = int((dt-0.1)/max(0.1,dt_max)) + 1 dt_mp = dt/float(n_substep) !if (kount == 0) then if (.false.) then print*,'Microphysics (MP) substepping:' print*,' GEM model time step : ',dt print*,' MP time step : ',dt_mp print*,' number of MP substeps: ',n_substep endif ! note: code for prediction of ssat not currently avaiable, thus array is to 0 ssat = 0. !air pressure: do k = kbot,ktop,kdir pres(:,k)= psfc(:)*sigma(:,k) enddo !layer thickness (for sedimentation): do k = kbot,ktop-kdir,kdir DZ(:,k) = gztherm(:,k+kdir) - gztherm(:,k) enddo DZ(:,ktop) = DZ(:,ktop-kdir) !contruct full ice arrays from individual category arrays: if (n_iceCat >= 2) then qitot(:,:,1) = qitot_1(:,:) qirim(:,:,1) = qirim_1(:,:) nitot(:,:,1) = nitot_1(:,:) birim(:,:,1) = birim_1(:,:) qitot(:,:,2) = qitot_2(:,:) qirim(:,:,2) = qirim_2(:,:) nitot(:,:,2) = nitot_2(:,:) birim(:,:,2) = birim_2(:,:) if (n_iceCat >= 3) then qitot(:,:,3) = qitot_3(:,:) qirim(:,:,3) = qirim_3(:,:) nitot(:,:,3) = nitot_3(:,:) birim(:,:,3) = birim_3(:,:) if (n_iceCat == 4) then qitot(:,:,4) = qitot_4(:,:) qirim(:,:,4) = qirim_4(:,:) nitot(:,:,4) = nitot_4(:,:) birim(:,:,4) = birim_4(:,:) endif endif endif !--- substepping microphysics if (n_substep > 1) then prt_liq_ave(:) = 0. prt_sol_ave(:) = 0. rn1_ave(:) = 0. rn2_ave(:) = 0. sn1_ave(:) = 0. sn2_ave(:) = 0. sn3_ave(:) = 0. pe1_ave(:) = 0. pe2_ave(:) = 0. snd_ave(:) = 0. endif do i_substep = 1, n_substep !convert to potential temperature: theta_m = temp_m*(1.e+5/pres)**0.286 theta = temp*(1.e+5/pres)**0.286 if (n_iceCat == 1) then !optimized for nCat = 1: call p3_main(qc,nc,qr,nr,theta_m,theta,qvap_m,qvap,dt_mp,qitot_1(:,:),qirim_1(:,:), & nitot_1(:,:),birim_1(:,:),ssat, & ww,pres,DZ,kount,prt_liq,prt_sol,i_strt,ni,k_strt,nk,n_iceCat,diag_Zet, & diag_effc,diag_effi_1(:,:),diag_vmi,diag_di,diag_rhoi,n_diag_2d,diag_2d, & n_diag_3d,diag_3d,log_predictNc,typeDiags_ON,trim(model),prt_drzl, & prt_rain,prt_crys,prt_snow,prt_grpl,prt_pell,prt_hail,prt_sndp) else !general (nCat >= 1): call p3_main(qc,nc,qr,nr,theta_m,theta,qvap_m,qvap,dt_mp,qitot,qirim,nitot,birim, & ssat,ww,pres,DZ,kount,prt_liq,prt_sol,i_strt,ni,k_strt,nk,n_iceCat, & diag_Zet,diag_effc,diag_effi,diag_vmi,diag_di,diag_rhoi,n_diag_2d,diag_2d, & n_diag_3d,diag_3d,log_predictNc,typeDiags_ON,trim(model),prt_drzl, & prt_rain,prt_crys,prt_snow,prt_grpl,prt_pell,prt_hail,prt_sndp) endif !convert back to temperature: temp = theta*(pres*1.e-5)**0.286 if (n_substep > 1) then prt_liq_ave(:) = prt_liq_ave(:) + prt_liq(:) prt_sol_ave(:) = prt_sol_ave(:) + prt_sol(:) rn1_ave(:) = rn1_ave(:) + prt_drzl(:) rn2_ave(:) = rn2_ave(:) + prt_rain(:) sn1_ave(:) = sn1_ave(:) + prt_crys(:) sn2_ave(:) = sn2_ave(:) + prt_snow(:) sn3_ave(:) = sn3_ave(:) + prt_grpl(:) pe1_ave(:) = pe1_ave(:) + prt_pell(:) pe2_ave(:) = pe2_ave(:) + prt_hail(:) snd_ave(:) = snd_ave(:) + prt_sndp(:) endif enddo !i_substep loop if (n_substep > 1) then tmp1 = 1./float(n_substep) prt_liq(:) = prt_liq_ave(:)*tmp1 prt_sol(:) = prt_sol_ave(:)*tmp1 prt_drzl(:) = rn1_ave(:)*tmp1 prt_rain(:) = rn2_ave(:)*tmp1 prt_crys(:) = sn1_ave(:)*tmp1 prt_snow(:) = sn2_ave(:)*tmp1 prt_grpl(:) = sn3_ave(:)*tmp1 prt_pell(:) = pe1_ave(:)*tmp1 prt_hail(:) = pe2_ave(:)*tmp1 prt_sndp(:) = snd_ave(:)*tmp1 endif !=== !decompose full ice arrays back into individual category arrays: if (n_iceCat >= 2) then qitot_1(:,:) = qitot(:,:,1) qirim_1(:,:) = qirim(:,:,1) nitot_1(:,:) = nitot(:,:,1) birim_1(:,:) = birim(:,:,1) diag_effi_1(:,:) = diag_effi(:,:,1) qitot_2(:,:) = qitot(:,:,2) qirim_2(:,:) = qirim(:,:,2) nitot_2(:,:) = nitot(:,:,2) birim_2(:,:) = birim(:,:,2) diag_effi_2(:,:) = diag_effi(:,:,2) if (n_iceCat >= 3) then qitot_3(:,:) = qitot(:,:,3) qirim_3(:,:) = qirim(:,:,3) nitot_3(:,:) = nitot(:,:,3) birim_3(:,:) = birim(:,:,3) diag_effi_3(:,:) = diag_effi(:,:,3) if (n_iceCat == 4) then qitot_4(:,:) = qitot(:,:,4) qirim_4(:,:) = qirim(:,:,4) nitot_4(:,:) = nitot(:,:,4) birim_4(:,:) = birim(:,:,4) diag_effi_4(:,:) = diag_effi(:,:,4) endif endif endif !convert precip rates from volume flux (m s-1) to mass flux (kg m-3 s-1): ! (since they are computed back to liq-eqv volume flux in s/r 'ccdiagnostics.F90') prt_liq = prt_liq*1000. prt_sol = prt_sol*1000. !compute composite (column-maximum) reflectivity: do i = 1,ni diag_Zec(i) = maxval(diag_Zet(i,:)) enddo END SUBROUTINE mp_p3_wrapper_gem !==========================================================================================! SUBROUTINE p3_main(qc,nc,qr,nr,th_old,th,qv_old,qv,dt,qitot,qirim,nitot,birim,ssat,uzpl, & pres,dzq,it,prt_liq,prt_sol,its,ite,kts,kte,nCat,diag_ze,diag_effc, & diag_effi,diag_vmi,diag_di,diag_rhoi,n_diag_2d,diag_2d,n_diag_3d, & diag_3d,log_predictNc,typeDiags_ON,model,prt_drzl,prt_rain,prt_crys, & prt_snow,prt_grpl,prt_pell,prt_hail,prt_sndp) !----------------------------------------------------------------------------------------! ! ! ! This is the main subroutine for the P3 microphysics scheme. It is called from the ! ! wrapper subroutine ('MP_P3_WRAPPER') and is passed i,k slabs of all prognostic ! ! variables -- hydrometeor fields, potential temperature, and water vapor mixing ratio. ! ! Microphysical process rates are computed first. These tendencies are then used to ! ! computed updated values of the prognostic variables. The hydrometeor variables are ! ! then updated further due to sedimentation. ! ! ! ! Several diagnostic values are also computed and returned to the wrapper subroutine, ! ! including precipitation rates. ! ! ! !----------------------------------------------------------------------------------------! implicit none !----- Input/ouput arguments: ----------------------------------------------------------! real, intent(inout), dimension(its:ite,kts:kte) :: qc ! cloud, mass mixing ratio kg kg-1 ! note: Nc may be specified or predicted (set by log_predictNc) real, intent(inout), dimension(its:ite,kts:kte) :: nc ! cloud, number mixing ratio # kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: qr ! rain, mass mixing ratio kg kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: nr ! rain, number mixing ratio # kg-1 real, intent(inout), dimension(its:ite,kts:kte,nCat) :: qitot ! ice, total mass mixing ratio kg kg-1 real, intent(inout), dimension(its:ite,kts:kte,nCat) :: qirim ! ice, rime mass mixing ratio kg kg-1 real, intent(inout), dimension(its:ite,kts:kte,nCat) :: nitot ! ice, total number mixing ratio # kg-1 real, intent(inout), dimension(its:ite,kts:kte,nCat) :: birim ! ice, rime volume mixing ratio m3 kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: ssat ! supersaturation (i.e., qv-qvs) kg kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: qv ! water vapor mixing ratio kg kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: th ! potential temperature K real, intent(inout), dimension(its:ite,kts:kte) :: th_old ! beginning of time step value of theta K real, intent(inout), dimension(its:ite,kts:kte) :: qv_old ! beginning of time step value of qv kg kg-1 real, intent(in), dimension(its:ite,kts:kte) :: uzpl ! vertical air velocity m s-1 real, intent(in), dimension(its:ite,kts:kte) :: pres ! pressure Pa real, intent(in), dimension(its:ite,kts:kte) :: dzq ! vertical grid spacing m real, intent(in) :: dt ! model time step s real, intent(out), dimension(its:ite) :: prt_liq ! precipitation rate, liquid m s-1 real, intent(out), dimension(its:ite) :: prt_sol ! precipitation rate, solid m s-1 real, intent(out), dimension(its:ite,kts:kte) :: diag_ze ! equivalent reflectivity dBZ real, intent(out), dimension(its:ite,kts:kte) :: diag_effc ! effective radius, cloud m real, intent(out), dimension(its:ite,kts:kte,nCat) :: diag_effi ! effective radius, ice m real, intent(out), dimension(its:ite,kts:kte,nCat) :: diag_vmi ! mass-weighted fall speed of ice m s-1 real, intent(out), dimension(its:ite,kts:kte,nCat) :: diag_di ! mean diameter of ice m real, intent(out), dimension(its:ite,kts:kte,nCat) :: diag_rhoi ! bulk density of ice kg m-1 real, intent(out), dimension(its:ite,n_diag_2d) :: diag_2d ! user-defined 2D diagnostic fields real, intent(out), dimension(its:ite,kts:kte,n_diag_3d) :: diag_3d ! user-defined 3D diagnostic fields integer, intent(in) :: its,ite ! array bounds (horizontal) integer, intent(in) :: kts,kte ! array bounds (vertical) integer, intent(in) :: it ! time step counter NOTE: starts at 1 for first time step integer, intent(in) :: nCat ! number of ice-phase categories integer, intent(in) :: n_diag_2d ! number of 2D diagnostic fields integer, intent(in) :: n_diag_3d ! number of 3D diagnostic fields logical, intent(in) :: log_predictNc ! .T. (.F.) for prediction (specification) of Nc logical, intent(in) :: typeDiags_ON !for diagnostic hydrometeor/precip rate types character(len=*), intent(in) :: model !driving model real, intent(out), dimension(its:ite), optional :: prt_drzl ! precip rate, drizzle m s-1 real, intent(out), dimension(its:ite), optional :: prt_rain ! precip rate, rain m s-1 real, intent(out), dimension(its:ite), optional :: prt_crys ! precip rate, ice cystals m s-1 real, intent(out), dimension(its:ite), optional :: prt_snow ! precip rate, snow m s-1 real, intent(out), dimension(its:ite), optional :: prt_grpl ! precip rate, graupel m s-1 real, intent(out), dimension(its:ite), optional :: prt_pell ! precip rate, ice pellets m s-1 real, intent(out), dimension(its:ite), optional :: prt_hail ! precip rate, hail m s-1 real, intent(out), dimension(its:ite), optional :: prt_sndp ! precip rate, unmelted snow m s-1 !----- Local variables and parameters: -------------------------------------------------! real, dimension(its:ite,kts:kte) :: mu_r ! shape parameter of rain real, dimension(its:ite,kts:kte) :: t ! temperature at the beginning of the microhpysics step [K] real, dimension(its:ite,kts:kte) :: t_old ! temperature at the beginning of the model time step [K] ! 2D size distribution and fallspeed parameters: real, dimension(its:ite,kts:kte) :: lamc real, dimension(its:ite,kts:kte) :: lamr real, dimension(its:ite,kts:kte) :: n0c real, dimension(its:ite,kts:kte) :: logn0r real, dimension(its:ite,kts:kte) :: mu_c !real, dimension(its:ite,kts:kte) :: diag_effr (currently not used) real, dimension(its:ite,kts:kte) :: nu real, dimension(its:ite,kts:kte) :: cdist real, dimension(its:ite,kts:kte) :: cdist1 real, dimension(its:ite,kts:kte) :: cdistr real, dimension(its:ite,kts:kte) :: Vt_nc real, dimension(its:ite,kts:kte) :: Vt_qc real, dimension(its:ite,kts:kte) :: Vt_nr real, dimension(its:ite,kts:kte) :: Vt_qr real, dimension(its:ite,kts:kte) :: Vt_qit real, dimension(its:ite,kts:kte) :: Vt_nit !real, dimension(its:ite,kts:kte) :: Vt_zit ! liquid-phase microphysical process rates: ! (all Q process rates in kg kg-1 s-1) ! (all N process rates in # kg-1) real :: qrcon ! rain condensation real :: qcacc ! cloud droplet accretion by rain real :: qcaut ! cloud droplet autoconversion to rain real :: ncacc ! change in cloud droplet number from accretion by rain real :: ncautc ! change in cloud droplet number from autoconversion real :: ncslf ! change in cloud droplet number from self-collection real :: nrslf ! change in rain number from self-collection real :: ncnuc ! change in cloud droplet number from activation of CCN real :: qccon ! cloud droplet condensation real :: qcnuc ! activation of cloud droplets from CCN real :: qrevp ! rain evaporation real :: qcevp ! cloud droplet evaporation real :: nrevp ! change in rain number from evaporation real :: ncautr ! change in rain number from autoconversion of cloud water ! ice-phase microphysical process rates: ! (all Q process rates in kg kg-1 s-1) ! (all N process rates in # kg-1) real, dimension(nCat) :: qccol ! collection of cloud water by ice real, dimension(nCat) :: qwgrth ! wet growth rate real, dimension(nCat) :: qidep ! vapor deposition real, dimension(nCat) :: qrcol ! collection rain mass by ice real, dimension(nCat) :: qinuc ! deposition/condensation freezing nuc real, dimension(nCat) :: nccol ! change in cloud droplet number from collection by ice real, dimension(nCat) :: nrcol ! change in rain number from collection by ice real, dimension(nCat) :: ninuc ! change in ice number from deposition/cond-freezing nucleation real, dimension(nCat) :: qisub ! sublimation of ice real, dimension(nCat) :: qimlt ! melting of ice real, dimension(nCat) :: nimlt ! melting of ice real, dimension(nCat) :: nisub ! change in ice number from sublimation real, dimension(nCat) :: nislf ! change in ice number from collection within a category real, dimension(nCat) :: qchetc ! contact freezing droplets real, dimension(nCat) :: qcheti ! immersion freezing droplets real, dimension(nCat) :: qrhetc ! contact freezing rain real, dimension(nCat) :: qrheti ! immersion freezing rain real, dimension(nCat) :: nchetc ! contact freezing droplets real, dimension(nCat) :: ncheti ! immersion freezing droplets real, dimension(nCat) :: nrhetc ! contact freezing rain real, dimension(nCat) :: nrheti ! immersion freezing rain real, dimension(nCat) :: nrshdr ! source for rain number from collision of rain/ice above freezing and shedding real, dimension(nCat) :: qcshd ! source for rain mass due to cloud water/ice collision above freezing and shedding or wet growth and shedding real, dimension(nCat) :: qcmul ! change in q, ice multiplication from rime-splitnering of cloud water (not included in the paper) real, dimension(nCat) :: qrmul ! change in q, ice multiplication from rime-splitnering of rain (not included in the paper) real, dimension(nCat) :: nimul ! change in Ni, ice multiplication from rime-splintering (not included in the paper) real, dimension(nCat) :: ncshdc ! source for rain number due to cloud water/ice collision above freezing and shedding (combined with NRSHD in the paper) real, dimension(nCat) :: rhorime_c ! density of rime (from cloud) real, dimension(nCat) :: rhorime_r ! density of rime (from rain) real, dimension(nCat,nCat) :: nicol ! change of N due to ice-ice collision between categories real, dimension(nCat,nCat) :: qicol ! change of q due to ice-ice collision between categories logical, dimension(nCat) :: log_wetgrowth real, dimension(nCat) :: Eii_fact,epsi real :: eii ! temperature dependent aggregation efficiency real, dimension(its:ite,kts:kte,nCat) :: diam_ice real, dimension(its:ite,kts:kte) :: inv_dzq,inv_rho,ze_ice,ze_rain,prec,rho, & rhofacr,rhofaci,acn,xxls,xxlv,xlf,qvs,qvi,sup,supi,ss,vtrmi1,vtrnitot, & tmparr1 real, dimension(kts:kte) :: dum_qit,dum_qr,dum_nit,dum_qir,dum_bir,dum_zit,dum_nr, & dum_qc,dum_nc,V_qr,V_qit,V_nit,V_nr,V_qc,V_nc,V_zit,flux_qr,flux_qit, & flux_qx,flux_nx,flux_qm,flux_qb,V_qx,V_qn,V_qm,V_qb, & flux_nit,flux_nr,flux_qir,flux_bir,flux_zit,flux_qc,flux_nc,tend_qc,tend_qr, & tend_nr,tend_qit,tend_qir,tend_bir,tend_nit,tend_nc !,tend_zit real :: lammax,lammin,mu,dv,sc,dqsdt,ab,kap,epsr,epsc,xx,aaa,epsilon,sigvl,epsi_tot, & aact,alpha,gamm,gg,psi,eta1,eta2,sm1,sm2,smax,uu1,uu2,dum,dum0,dum1,dum2, & dumqv,dumqvs,dums,dumqc,ratio,qsat0,udiff,dum3,dum4,dum5,dum6,lamold,rdumii, & rdumjj,dqsidt,abi,dumqvi,dap,nacnt,rhop,v_impact,ri,iTc,D_c,D_r,dumlr,tmp1, & tmp2,tmp3,inv_nstep,inv_dum,inv_dum3,odt,oxx,oabi,zero,test,test2,test3, & onstep,fluxdiv_qr,fluxdiv_qit,fluxdiv_nit,fluxdiv_qir,fluxdiv_bir,prt_accum, & fluxdiv_qx,fluxdiv_nx,fluxdiv_qm,fluxdiv_qb,flux_qx_kbot,Co_max,dt_sub, & fluxdiv_zit,fluxdiv_qc,fluxdiv_nc,fluxdiv_nr,rgvm,D_new,Q_nuc,N_nuc, & deltaD_init,dum1c,dum4c,dum5c,dumt,qcon_satadj,qdep_satadj,sources,sinks, & drhop,timeScaleFactor,dt_left,tmp4,tmp5,tmp6,tmp7,tmp8,tmp9 integer :: dumi,i,k,kk,ii,jj,iice,iice_dest,j,dumk,dumj,dumii,dumjj,dumzz,n,nstep, & tmpint1,tmpint2,ktop,kbot,kdir,qcindex,qrindex,qiindex,dumic,dumiic,dumjjc, & catcoll,k_qxbot,k_qxtop,k_temp logical :: log_nucleationPossible,log_hydrometeorsPresent,log_predictSsat,log_tmp1, & log_exitlevel,log_hmossopOn,log_qcpresent,log_qrpresent,log_qipresent, & log_qxpresent ! quantities related to process rates/parameters, interpolated from lookup tables: real :: f1pr01 ! number-weighted fallspeed real :: f1pr02 ! mass-weighted fallspeed real :: f1pr03 ! ice collection within a category real :: f1pr04 ! collection of cloud water by ice real :: f1pr05 ! melting real :: f1pr06 ! effective radius real :: f1pr07 ! collection of rain number by ice real :: f1pr08 ! collection of rain mass by ice real :: f1pr09 ! minimum ice number (lambda limiter) real :: f1pr10 ! maximum ice number (lambda limiter) real :: f1pr11 ! not used real :: f1pr12 ! not used real :: f1pr13 ! reflectivity real :: f1pr14 ! melting (ventilation term) real :: f1pr15 ! mass-weighted mean diameter real :: f1pr16 ! mass-weighted mean particle density real :: f1pr17 ! ice-ice category collection change in number real :: f1pr18 ! ice-ice category collection change in mass ! quantities related to diagnostic hydrometeor/precipitation types real, parameter :: freq3DtypeDiag = 60. !frequency (min) for full-column diagnostics real, parameter :: thres_raindrop = 100.e-6 !size threshold for drizzle vs. rain real, dimension(its:ite,kts:kte) :: Q_drizzle,Q_rain real, dimension(its:ite,kts:kte,nCat) :: Q_crystals,Q_ursnow,Q_lrsnow,Q_grpl,Q_pellets,Q_hail integer :: ktop_typeDiag !--These will be added as namelist parameters in the future logical, parameter :: debug_ON = .false. !.true. to switch on debugging checks/traps throughout code logical, parameter :: debug_ABORT = .false. !.true. will result in forced abort in s/r 'check_values' !-----------------------------------------------------------------------------------! ! End of variables/parameters declarations !-----------------------------------------------------------------------------------! !-----------------------------------------------------------------------------------! ! Note, the array 'diag_3d(ni,nk,n_diag_3d)' provides a placeholder to output 3D diagnostic fields. ! The entire array array is inialized to zero (below). Code can be added to store desired fields ! by simply adding the appropriate assignment statements. For example, if one wishs to output the ! rain condensation and evaporation rates, simply add assignments in the appropriate locations. ! e.g.: ! ! diag_3d(i,k,1) = qrcon ! diag_3d(i,k,2) = qrevp ! ! The fields will automatically be passed to the driving model. In GEM, these arrays can be ! output by adding 'SS01' and 'SS02' to the model output list. ! ! Similarly, 'diag_2d(ni,n_diag_2d) is a placeholder to output 2D diagnostic fields. ! e.g.: ! ! diag_2d(i,1) = maxval(qr(i,:)) !column-maximum qr !-----------------------------------------------------------------------------------! ! direction of vertical leveling: if (trim(model)=='GEM' .or. trim(model)=='KIN1D') then ktop = kts !k of top level kbot = kte !k of bottom level kdir = -1 !(k: 1=top, nk=bottom) else ktop = kte !k of top level kbot = kts !k of bottom level kdir = 1 !(k: 1=bottom, nk=top) endif ! Determine threshold size difference [m] as a function of nCat ! (used for destination category upon ice initiation) ! note -- this code could be moved to 'p3_init' select case (nCat) case (1) deltaD_init = 999. !not used if n_iceCat=1 (but should be defined) case (2) deltaD_init = 500.e-6 case (3) deltaD_init = 400.e-6 case (4) deltaD_init = 235.e-6 case (5) deltaD_init = 175.e-6 case (6:) deltaD_init = 150.e-6 end select ! deltaD_init = 250.e-6 !for testing ! deltaD_init = dummy_in !temporary; passed in from cld1d ! Note: Code for prediction of supersaturation is available in current version. ! In the future 'log_predictSsat' will be a user-defined namelist key. log_predictSsat = .false. log_hmossopOn = (nCat.gt.1) !default: off for nCat=1, off for nCat>1 !log_hmossopOn = .true. !switch to have Hallet-Mossop ON !log_hmossopOn = .false. !switch to have Hallet-Mossop OFF inv_dzq = 1./dzq ! inverse of thickness of layers odt = 1./dt ! inverse model time step ! Compute time scale factor over which to apply soft rain lambda limiter ! note: '1./max(30.,dt)' = '1.*min(1./30., 1./dt)' timeScaleFactor = min(1./120., odt) prt_liq = 0. prt_sol = 0. prec = 0. mu_r = 0. diag_ze = -99. diam_ice = 0. ze_ice = 1.e-22 ze_rain = 1.e-22 diag_effc = 10.e-6 ! default value !diag_effr = 25.e-6 ! default value diag_effi = 25.e-6 ! default value diag_vmi = 0. diag_di = 0. diag_rhoi = 0. diag_2d = 0. diag_3d = 0. rhorime_c = 400. !rhorime_r = 400. tmparr1 = (pres*1.e-5)**(rd*inv_cp) t = th *tmparr1 !compute temperature from theta (value at beginning of microphysics step) t_old = th_old*tmparr1 !compute temperature from theta (value at beginning of model time step) qv = max(qv,0.) !clip water vapor to prevent negative values passed in (beginning of microphysics) !== !-----------------------------------------------------------------------------------! i_loop_main: do i = its,ite ! main i-loop (around the entire scheme) if (debug_ON) call check_values(qv,T,qc,qr,nr,qitot,qirim,nitot,birim,i,it,.false.,debug_ABORT,100) log_hydrometeorsPresent = .false. log_nucleationPossible = .false. k_loop_1: do k = kbot,ktop,kdir !-- To be deleted (moved to above) ! ! !calculate old temperature from old value of theta ! ! t_old(i,k) = th_old(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) ! ! !calculate current temperature from current theta ! ! t(i,k) = th(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) !== !calculate some time-varying atmospheric variables rho(i,k) = pres(i,k)/(rd*t(i,k)) inv_rho(i,k) = 1./rho(i,k) xxlv(i,k) = 3.1484e6-2370.*t(i,k) xxls(i,k) = xxlv(i,k)+0.3337e6 xlf(i,k) = xxls(i,k)-xxlv(i,k) qvs(i,k) = qv_sat(t_old(i,k),pres(i,k),0) qvi(i,k) = qv_sat(t_old(i,k),pres(i,k),1) ! if supersaturation is not predicted or during the first time step, then diagnose from qv and T (qvs) if (.not.(log_predictSsat).or.it.eq.1) then ssat(i,k) = qv_old(i,k)-qvs(i,k) sup(i,k) = qv_old(i,k)/qvs(i,k)-1. supi(i,k) = qv_old(i,k)/qvi(i,k)-1. ! if supersaturation is predicted then diagnose sup and supi from ssat else if ((log_predictSsat).and.it.gt.1) then sup(i,k) = ssat(i,k)/qvs(i,k) supi(i,k) = (ssat(i,k)+qvs(i,k)-qvi(i,k))/qvi(i,k) endif rhofacr(i,k) = (rhosur*inv_rho(i,k))**0.54 rhofaci(i,k) = (rhosui*inv_rho(i,k))**0.54 dum = 1.496e-6*t(i,k)**1.5/(t(i,k)+120.) ! this is mu acn(i,k) = g*rhow/(18.*dum) ! 'a' parameter for droplet fallspeed (Stokes' law) !specify cloud droplet number (for 1-moment version) if (.not.(log_predictNc)) then nc(i,k) = nccnst*inv_rho(i,k) endif if ((t(i,k).lt.273.15 .and. supi(i,k).ge.-0.05) .or. & (t(i,k).ge.273.15 .and. sup(i,k).ge.-0.05 )) log_nucleationPossible = .true. !--- apply mass clipping if dry and mass is sufficiently small ! (implying all mass is expected to evaporate/sublimate in one time step) if (qc(i,k).lt.qsmall .or. (qc(i,k).lt.1.e-8 .and. sup(i,k).lt.-0.1)) then qv(i,k) = qv(i,k) + qc(i,k) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qc(i,k)*xxlv(i,k)*inv_cp qc(i,k) = 0. nc(i,k) = 0. else log_hydrometeorsPresent = .true. ! updated further down endif if (qr(i,k).lt.qsmall .or. (qr(i,k).lt.1.e-8 .and. sup(i,k).lt.-0.1)) then qv(i,k) = qv(i,k) + qr(i,k) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qr(i,k)*xxlv(i,k)*inv_cp qr(i,k) = 0. nr(i,k) = 0. else log_hydrometeorsPresent = .true. ! updated further down endif do iice = 1,nCat if (qitot(i,k,iice).lt.qsmall .or. (qitot(i,k,iice).lt.1.e-8 .and. & supi(i,k).lt.-0.1)) then qv(i,k) = qv(i,k) + qitot(i,k,iice) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qitot(i,k,iice)*xxls(i,k)*inv_cp qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. else log_hydrometeorsPresent = .true. ! final update endif if (qitot(i,k,iice).ge.qsmall .and. qitot(i,k,iice).lt.1.e-8 .and. & t(i,k).ge.273.15) then qr(i,k) = qr(i,k) + qitot(i,k,iice) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qitot(i,k,iice)*xlf(i,k)*inv_cp qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. endif enddo !iice-loop !=== enddo k_loop_1 if (debug_ON) then tmparr1(i,:) = th(i,:)*(pres(i,:)*1.e-5)**(rd*inv_cp) call check_values(qv,tmparr1,qc,qr,nr,qitot,qirim,nitot,birim,i,it,.true.,debug_ABORT,200) endif !jump to end of i-loop if log_nucleationPossible=.false. (i.e. skip everything) if (.not. (log_nucleationPossible .or. log_hydrometeorsPresent)) goto 333 log_hydrometeorsPresent = .false. ! reset value; used again below !------------------------------------------------------------------------------------------! ! main k-loop (for processes): k_loop_main: do k = kbot,ktop,kdir ! if relatively dry and no hydrometeors at this level, skip to end of k-loop (i.e. skip this level) log_exitlevel = .true. if (qc(i,k).ge.qsmall .or. qr(i,k).ge.qsmall) log_exitlevel = .false. do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall) log_exitlevel = .false. enddo if (log_exitlevel .and. & ((t(i,k).lt.273.15 .and. supi(i,k).lt.-0.05) .or. & (t(i,k).ge.273.15 .and. sup(i,k) .lt.-0.05))) goto 555 !i.e. skip all process rates ! initialize warm-phase process rates qcacc = 0.; qrevp = 0.; qccon = 0. qcaut = 0.; qcevp = 0.; qrcon = 0. ncacc = 0.; ncnuc = 0.; ncslf = 0. ncautc = 0.; qcnuc = 0.; nrslf = 0. nrevp = 0.; ncautr = 0. ! initialize ice-phase process rates qchetc = 0.; qisub = 0.; nrshdr = 0. qcheti = 0.; qrcol = 0.; qcshd = 0. qrhetc = 0.; qimlt = 0.; qccol = 0. qrheti = 0.; qinuc = 0.; nimlt = 0. nchetc = 0.; nccol = 0.; ncshdc = 0. ncheti = 0.; nrcol = 0.; nislf = 0. nrhetc = 0.; ninuc = 0.; qidep = 0. nrheti = 0.; nisub = 0.; qwgrth = 0. qcmul = 0.; qrmul = 0.; nimul = 0. qicol = 0.; nicol = 0. log_wetgrowth = .false. !---------------------------------------------------------------------- predict_supersaturation: if (log_predictSsat) then ! Adjust cloud water and thermodynamics to prognostic supersaturation ! following the method in Grabowski and Morrison (2008). ! Note that the effects of vertical motion are assumed to dominate the ! production term for supersaturation, and the effects are sub-grid ! scale mixing and radiation are not explicitly included. dqsdt = xxlv(i,k)*qvs(i,k)/(rv*t(i,k)*t(i,k)) ab = 1. + dqsdt*xxlv(i,k)*inv_cp epsilon = (qv(i,k)-qvs(i,k)-ssat(i,k))/ab epsilon = max(epsilon,-qc(i,k)) ! limit adjustment to available water ! don't adjust upward if subsaturated ! otherwise this could result in positive adjustment ! (spurious generation ofcloud water) in subsaturated conditions if (ssat(i,k).lt.0.) epsilon = min(0.,epsilon) ! now do the adjustment if (abs(epsilon).ge.1.e-15) then qc(i,k) = qc(i,k)+epsilon qv(i,k) = qv(i,k)-epsilon th(i,k) = th(i,k)+epsilon*th(i,k)/t(i,k)*xxlv(i,k)*inv_cp ! recalculate variables if there was adjustment t(i,k) = th(i,k)*(1.e-5*pres(i,k))**(rd*inv_cp) qvs(i,k) = qv_sat(t(i,k),pres(i,k),0) qvi(i,k) = qv_sat(t(i,k),pres(i,k),1) sup(i,k) = qv(i,k)/qvs(i,k)-1. supi(i,k) = qv(i,k)/qvi(i,k)-1. ssat(i,k) = qv(i,k)-qvs(i,k) endif endif predict_supersaturation !---------------------------------------------------------------------- ! skip micro process calculations except nucleation/acvtivation if there no hydrometeors are present log_exitlevel = .true. if (qc(i,k).ge.qsmall .or. qr(i,k).ge.qsmall) log_exitlevel = .false. do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall) log_exitlevel=.false. enddo if (log_exitlevel) goto 444 !i.e. skip to nucleation !time/space varying physical variables mu = 1.496e-6*t(i,k)**1.5/(t(i,k)+120.) dv = 8.794e-5*t(i,k)**1.81/pres(i,k) sc = mu/(rho(i,k)*dv) dum = 1./(rv*t(i,k)**2) dqsdt = xxlv(i,k)*qvs(i,k)*dum dqsidt = xxls(i,k)*qvi(i,k)*dum ab = 1.+dqsdt*xxlv(i,k)*inv_cp abi = 1.+dqsidt*xxls(i,k)*inv_cp kap = 1.414e+3*mu ! very simple temperature dependent aggregation efficiency if (t(i,k).lt.253.15) then eii=0.1 else if (t(i,k).ge.253.15.and.t(i,k).lt.268.15) then eii=0.1+(t(i,k)-253.15)/15.*0.9 ! linear ramp from 0.1 to 1 between 253.15 and 268.15 K else if (t(i,k).ge.268.15) then eii=1. end if call get_cloud_dsd2(qc(i,k),nc(i,k),mu_c(i,k),rho(i,k),nu(i,k),dnu,lamc(i,k), & lammin,lammax,cdist(i,k),cdist1(i,k)) call get_rain_dsd2(qr(i,k),nr(i,k),mu_r(i,k),rdumii,dumii,lamr(i,k),mu_r_table, & cdistr(i,k),logn0r(i,k)) ! initialize inverse supersaturation relaxation timescale for combined ice categories epsi_tot = 0. call impose_max_total_Ni(nitot(i,k,:),max_total_Ni,inv_rho(i,k)) iice_loop1: do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall) then !impose lower limits to prevent taking log of # < 0 nitot(i,k,iice) = max(nitot(i,k,iice),nsmall) nr(i,k) = max(nr(i,k),nsmall) !compute mean-mass ice diameters (estimated; rigorous approach to be implemented later) dum2 = 500. !ice density diam_ice(i,k,iice) = ((qitot(i,k,iice)*6.)/(nitot(i,k,iice)*dum2*pi))**thrd call calc_bulkRhoRime(qitot(i,k,iice),qirim(i,k,iice),birim(i,k,iice),rhop) ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) call find_lookupTable_indices_1a(dumi,dumjj,dumii,dumzz,dum1,dum4, & dum5,dum6,isize,rimsize,densize,zsize, & qitot(i,k,iice),nitot(i,k,iice),qirim(i,k,iice), & 999.,rhop) !qirim(i,k,iice),zitot(i,k,iice),rhop) call find_lookupTable_indices_1b(dumj,dum3,rcollsize,qr(i,k),nr(i,k)) ! call to lookup table interpolation subroutines to get process rates call access_lookup_table(dumjj,dumii,dumi, 2,dum1,dum4,dum5,f1pr02) call access_lookup_table(dumjj,dumii,dumi, 3,dum1,dum4,dum5,f1pr03) call access_lookup_table(dumjj,dumii,dumi, 4,dum1,dum4,dum5,f1pr04) call access_lookup_table(dumjj,dumii,dumi, 5,dum1,dum4,dum5,f1pr05) call access_lookup_table(dumjj,dumii,dumi, 7,dum1,dum4,dum5,f1pr09) call access_lookup_table(dumjj,dumii,dumi, 8,dum1,dum4,dum5,f1pr10) call access_lookup_table(dumjj,dumii,dumi,10,dum1,dum4,dum5,f1pr14) ! ice-rain collection processes if (qr(i,k).ge.qsmall) then call access_lookup_table_coll(dumjj,dumii,dumj,dumi,1,dum1,dum3,dum4,dum5,f1pr07) call access_lookup_table_coll(dumjj,dumii,dumj,dumi,2,dum1,dum3,dum4,dum5,f1pr08) else f1pr07 = 0. f1pr08 = 0. endif ! adjust Ni if needed to make sure mean size is in bounds (i.e. apply lambda limiters) ! note that the Nmax and Nmin are normalized and thus need to be multiplied by existing N nitot(i,k,iice) = min(nitot(i,k,iice),f1pr09*nitot(i,k,iice)) nitot(i,k,iice) = max(nitot(i,k,iice),f1pr10*nitot(i,k,iice)) ! Determine additional collection efficiency factor to be applied to ice-ice collection. ! The computed values of qicol and nicol are multipiled by Eii_fact to gradually shut off collection ! if the ice in iice is highly rimed. if (qirim(i,k,iice)>0.) then tmp1 = qirim(i,k,iice)/qitot(i,k,iice) !rime mass fraction if (tmp1.lt.0.6) then Eii_fact(iice)=1. else if (tmp1.ge.0.6.and.tmp1.lt.0.9) then ! linear ramp from 1 to 0 for Fr between 0.6 and 0.9 Eii_fact(iice) = 1.-(tmp1-0.6)/0.3 else if (tmp1.ge.0.9) then Eii_fact(iice) = 0. endif else Eii_fact(iice) = 1. endif endif ! qitot > qsmall !---------------------------------------------------------------------- ! Begin calculations of microphysical processes !...................................................................... ! ice processes !...................................................................... !....................... ! collection of droplets ! here we multiply rates by air density, air density fallspeed correction ! factor, and collection efficiency since these parameters are not ! included in lookup table calculations ! for T < 273.15, assume collected cloud water is instantly frozen ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. qc(i,k).ge.qsmall .and. t(i,k).le.273.15) then qccol(iice) = rhofaci(i,k)*f1pr04*qc(i,k)*eci*rho(i,k)*nitot(i,k,iice) nccol(iice) = rhofaci(i,k)*f1pr04*nc(i,k)*eci*rho(i,k)*nitot(i,k,iice) endif ! for T > 273.15, assume cloud water is collected and shed as rain drops if (qitot(i,k,iice).ge.qsmall .and. qc(i,k).ge.qsmall .and. t(i,k).gt.273.15) then ! sink for cloud water mass and number, note qcshed is source for rain mass qcshd(iice) = rhofaci(i,k)*f1pr04*qc(i,k)*eci*rho(i,k)*nitot(i,k,iice) nccol(iice) = rhofaci(i,k)*f1pr04*nc(i,k)*eci*rho(i,k)*nitot(i,k,iice) ! source for rain number, assume 1 mm drops are shed ncshdc(iice) = qcshd(iice)*1.923e+6 endif !.................... ! collection of rain ! here we multiply rates by air density, air density fallspeed correction ! factor, collection efficiency, and n0r since these parameters are not ! included in lookup table calculations ! for T < 273.15, assume all collected rain mass freezes ! note this is a sink for rain mass and number and a source ! for ice mass ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. qr(i,k).ge.qsmall .and. t(i,k).le.273.15) then ! qrcol(iice)=f1pr08*logn0r(i,k)*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) ! nrcol(iice)=f1pr07*logn0r(i,k)*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) ! note: f1pr08 and logn0r are already calculated as log_10 qrcol(iice) = 10.**(f1pr08+logn0r(i,k))*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) nrcol(iice) = 10.**(f1pr07+logn0r(i,k))*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) endif ! for T > 273.15, assume collected rain number is shed as ! 1 mm drops ! note that melting of ice number is scaled to the loss ! rate of ice mass due to melting ! collection of rain above freezing does not impact total rain mass if (qitot(i,k,iice).ge.qsmall .and. qr(i,k).ge.qsmall .and. t(i,k).gt.273.15) then ! rain number sink due to collection nrcol(iice) = 10.**(f1pr07 + logn0r(i,k))*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) ! rain number source due to shedding = collected rain mass/mass of 1 mm drop dum = 10.**(f1pr08 + logn0r(i,k))*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) ! for now neglect shedding of ice collecting rain above freezing, since snow is ! not expected to shed in these conditions (though more hevaily rimed ice would be ! expected to lead to shedding) ! nrshdr(iice) = dum*1.923e+6 ! 1./5.2e-7, 5.2e-7 is the mass of a 1 mm raindrop endif !................................... ! collection between ice categories iceice_interaction1: if (iice.ge.2) then ! iceice_interaction1: if (.false.) then !test, to suppress ice-ice interaction qitot_notsmall: if (qitot(i,k,iice).ge.qsmall) then catcoll_loop: do catcoll = 1,iice-1 qitotcatcoll_notsmall: if (qitot(i,k,catcoll).ge.qsmall) then ! first, calculate collection of catcoll category by iice category ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) call find_lookupTable_indices_2(dumi,dumii,dumjj,dumic,dumiic, & dumjjc,dum1,dum4,dum5,dum1c,dum4c,dum5c, & iisize,rimsize,densize, & qitot(i,k,iice),qitot(i,k,catcoll),nitot(i,k,iice), & nitot(i,k,catcoll),qirim(i,k,iice),qirim(i,k,catcoll), & birim(i,k,iice),birim(i,k,catcoll)) call access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj, & dumi,1,dum1c,dum4c,dum5c,dum1,dum4,dum5,f1pr17) call access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj, & dumi,2,dum1c,dum4c,dum5c,dum1,dum4,dum5,f1pr18) ! note: need to multiply by air density, air density fallspeed correction factor, ! and N of the collectee and collector categories for process rates nicol and qicol, ! first index is the collectee, second is the collector nicol(catcoll,iice) = f1pr17*rhofaci(i,k)*rhofaci(i,k)*rho(i,k)* & nitot(i,k,catcoll)*nitot(i,k,iice) qicol(catcoll,iice) = f1pr18*rhofaci(i,k)*rhofaci(i,k)*rho(i,k)* & nitot(i,k,catcoll)*nitot(i,k,iice) nicol(catcoll,iice) = eii*Eii_fact(iice)*nicol(catcoll,iice) qicol(catcoll,iice) = eii*Eii_fact(iice)*qicol(catcoll,iice) nicol(catcoll,iice) = min(nicol(catcoll,iice), nitot(i,k,catcoll)*odt) qicol(catcoll,iice) = min(qicol(catcoll,iice), qitot(i,k,catcoll)*odt) ! second, calculate collection of iice category by catcoll category ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) !needed to force consistency between qirim(catcoll) and birim(catcoll) (not for rhop) call calc_bulkRhoRime(qitot(i,k,catcoll),qirim(i,k,catcoll),birim(i,k,catcoll),rhop) call find_lookupTable_indices_2(dumi,dumii,dumjj,dumic,dumiic, & dumjjc,dum1,dum4,dum5,dum1c,dum4c,dum5c, & iisize,rimsize,densize, & qitot(i,k,catcoll),qitot(i,k,iice),nitot(i,k,catcoll), & nitot(i,k,iice),qirim(i,k,catcoll),qirim(i,k,iice), & birim(i,k,catcoll),birim(i,k,iice)) call access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj, & dumi,1,dum1c,dum4c,dum5c,dum1,dum4,dum5,f1pr17) call access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj, & dumi,2,dum1c,dum4c,dum5c,dum1,dum4,dum5,f1pr18) nicol(iice,catcoll) = f1pr17*rhofaci(i,k)*rhofaci(i,k)*rho(i,k)* & nitot(i,k,iice)*nitot(i,k,catcoll) qicol(iice,catcoll) = f1pr18*rhofaci(i,k)*rhofaci(i,k)*rho(i,k)* & nitot(i,k,iice)*nitot(i,k,catcoll) ! note: Eii_fact applied to the collector category nicol(iice,catcoll) = eii*Eii_fact(catcoll)*nicol(iice,catcoll) qicol(iice,catcoll) = eii*Eii_fact(catcoll)*qicol(iice,catcoll) nicol(iice,catcoll) = min(nicol(iice,catcoll),nitot(i,k,iice)*odt) qicol(iice,catcoll) = min(qicol(iice,catcoll),qitot(i,k,iice)*odt) endif qitotcatcoll_notsmall enddo catcoll_loop endif qitot_notsmall endif iceice_interaction1 !............................................. ! self-collection of ice (in a given category) ! here we multiply rates by collection efficiency, air density, ! and air density correction factor since these are not included ! in the lookup table calculations ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall) then nislf(iice) = f1pr03*rho(i,k)*eii*Eii_fact(iice)*rhofaci(i,k)*nitot(i,k,iice) endif !............................................................ ! melting ! need to add back accelerated melting due to collection of ice mass by rain (pracsw1) ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. t(i,k).gt.273.15) then qsat0 = 0.622*e0/(pres(i,k)-e0) ! dum=cpw/xlf(i,k)*(t(i,k)-273.15)*(pracsw1+qcshd(iice)) ! currently enhanced melting from collision is neglected ! dum=cpw/xlf(i,k)*(t(i,k)-273.15)*(pracsw1) dum = 0. ! qimlt(iice)=(f1pr05+f1pr14*sc**0.3333*(rhofaci(i,k)*rho(i,k)/mu)**0.5)* & ! (t(i,k)-273.15)*2.*pi*kap/xlf(i,k)+dum ! include RH dependence qimlt(iice) = ((f1pr05+f1pr14*sc**thrd*(rhofaci(i,k)*rho(i,k)/mu)**0.5)*((t(i,k)- & 273.15)*kap-rho(i,k)*xxlv(i,k)*dv*(qsat0-qv(i,k)))*2.*pi/xlf(i,k)+ & dum)*nitot(i,k,iice) qimlt(iice) = max(qimlt(iice),0.) nimlt(iice) = qimlt(iice)*(nitot(i,k,iice)/qitot(i,k,iice)) endif !............................................................ ! calculate wet growth ! similar to Musil (1970), JAS ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. qc(i,k)+qr(i,k).ge.1.e-6 .and. t(i,k).lt.273.15) then qsat0 = 0.622*e0/(pres(i,k)-e0) qwgrth(iice) = ((f1pr05 + f1pr14*sc**thrd*(rhofaci(i,k)*rho(i,k)/mu)**0.5)* & 2.*pi*(rho(i,k)*xxlv(i,k)*dv*(qsat0-qv(i,k))-(t(i,k)-273.15)* & kap)/(xlf(i,k)+cpw*(t(i,k)-273.15)))*nitot(i,k,iice) qwgrth(iice) = max(qwgrth(iice),0.) !calculate shedding for wet growth dum = max(0.,(qccol(iice)+qrcol(iice))-qwgrth(iice)) if (dum.ge.1.e-10) then nrshdr(iice) = nrshdr(iice) + dum*1.923e+6 ! 1/5.2e-7, 5.2e-7 is the mass of a 1 mm raindrop if ((qccol(iice)+qrcol(iice)).ge.1.e-10) then dum1 = 1./(qccol(iice)+qrcol(iice)) qcshd(iice) = qcshd(iice) + dum*qccol(iice)*dum1 qccol(iice) = qccol(iice) - dum*qccol(iice)*dum1 qrcol(iice) = qrcol(iice) - dum*qrcol(iice)*dum1 endif ! densify due to wet growth log_wetgrowth(iice) = .true. endif endif !----------------------------- ! calcualte total inverse ice relaxation timescale combined for all ice categories ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. t(i,k).lt.273.15) then epsi(iice) = ((f1pr05+f1pr14*sc**thrd*(rhofaci(i,k)*rho(i,k)/mu)**0.5)*2.*pi* & rho(i,k)*dv)*nitot(i,k,iice) epsi_tot = epsi_tot + epsi(iice) else epsi(iice) = 0. endif !......................... ! calculate rime density ! FUTURE: Add source term for birim (=qccol/rhorime_c) so that all process rates calculations ! are done together, before conservation. ! NOTE: Tc (ambient) is assumed for the surface temperature. Technically, ! we should diagose graupel surface temperature from heat balance equation. ! (but the ambient temperature is a reasonable approximation; tests show ! very little sensitivity to different assumed values, Milbrandt and Morrison 2012). ! Compute rime density: (based on parameterization of Cober and List, 1993 [JAS]) ! for simplicty use mass-weighted ice and droplet/rain fallspeeds ! if (qitot(i,k,iice).ge.qsmall .and. t(i,k).lt.273.15) then ! NOTE: condition applicable for cloud only; modify when rain is added back if (qccol(iice).ge.qsmall .and. t(i,k).lt.273.15) then ! get mass-weighted mean ice fallspeed vtrmi1(i,k) = f1pr02*rhofaci(i,k) iTc = 1./min(-0.001,t(i,k)-273.15) ! cloud: if (qc(i,k).ge.qsmall) then ! droplet fall speed ! (use Stokes' formulation (thus use analytic solution) Vt_qc(i,k) = acn(i,k)*gamma(4.+bcn+mu_c(i,k))/(lamc(i,k)**bcn*gamma(mu_c(i,k)+4.)) ! use mass-weighted mean size D_c = (mu_c(i,k)+4.)/lamc(i,k) V_impact = abs(vtrmi1(i,k)-Vt_qc(i,k)) Ri = -(0.5e+6*D_c)*V_impact*iTc ! Ri = max(1.,min(Ri,8.)) Ri = max(1.,min(Ri,12.)) if (Ri.le.8.) then rhorime_c(iice) = (0.051 + 0.114*Ri - 0.0055*Ri**2)*1000. else ! for Ri > 8 assume a linear fit between 8 and 12, ! rhorime = 900 kg m-3 at Ri = 12 ! this is somewhat ad-hoc but allows a smoother transition ! in rime density up to wet growth rhorime_c(iice) = 611.+72.25*(Ri-8.) endif endif !if qc>qsmall ! rain: ! assume rime density for rain collecting ice is 900 kg/m3 ! if (qr(i,k).ge.qsmall) then ! D_r = (mu_r(i,k)+1.)/lamr(i,k) ! V_impact = abs(vtrmi1(i,k)-Vt_qr(i,k)) ! Ri = -(0.5e+6*D_r)*V_impact*iTc ! Ri = max(1.,min(Ri,8.)) ! rhorime_r(iice) = (0.051 + 0.114*Ri - 0.0055*Ri*Ri)*1000. ! else ! rhorime_r(iice) = 400. ! endif else rhorime_c(iice) = 400. ! rhorime_r(iice) = 400. endif ! qi > qsmall and T < 273.15 !-------------------- enddo iice_loop1 !-------------------- !............................................................ ! contact and immersion freezing droplets ! contact freezing currently turned off ! dum=7.37*t(i,k)/(288.*10.*pres(i,k))/100. ! dap=4.*pi*1.38e-23*t(i,k)*(1.+dum/rin)/ & ! (6.*pi*rin*mu) ! nacnt=exp(-2.80+0.262*(273.15-t(i,k)))*1000. if (qc(i,k).ge.qsmall .and. t(i,k).le.269.15) then ! qchetc(iice) = pi*pi/3.*Dap*Nacnt*rhow*cdist1(i,k)*gamma(mu_c(i,k)+5.)/lamc(i,k)**4 ! nchetc(iice) = 2.*pi*Dap*Nacnt*cdist1(i,k)*gamma(mu_c(i,k)+2.)/lamc(i,k) ! for future: calculate gamma(mu_c+4) in one place since its used multiple times dum = (1./lamc(i,k))**3 ! qcheti(iice_dest) = cons6*cdist1(i,k)*gamma(7.+pgam(i,k))*exp(aimm*(273.15-t(i,k)))*dum**2 ! ncheti(iice_dest) = cons5*cdist1(i,k)*gamma(pgam(i,k)+4.)*exp(aimm*(273.15-t(i,k)))*dum Q_nuc = cons6*cdist1(i,k)*gamma(7.+mu_c(i,k))*exp(aimm*(273.15-t(i,k)))*dum**2 N_nuc = cons5*cdist1(i,k)*gamma(mu_c(i,k)+4.)*exp(aimm*(273.15-t(i,k)))*dum if (nCat>1) then !determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & iice_dest) else iice_dest = 1 endif qcheti(iice_dest) = Q_nuc ncheti(iice_dest) = N_nuc endif !............................................................ ! immersion freezing of rain ! for future: get rid of log statements below for rain freezing if (qr(i,k).ge.qsmall.and.t(i,k).le.269.15) then Q_nuc = cons6*exp(log(cdistr(i,k))+log(gamma(7.+mu_r(i,k)))-6.*log(lamr(i,k)))* & exp(aimm*(273.15-T(i,k))) N_nuc = cons5*exp(log(cdistr(i,k))+log(gamma(mu_r(i,k)+4.))-3.*log(lamr(i,k)))* & exp(aimm*(273.15-T(i,k))) if (nCat>1) then !determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & iice_dest) else iice_dest = 1 endif qrheti(iice_dest) = Q_nuc nrheti(iice_dest) = N_nuc endif !...................................... ! rime splintering (Hallet-Mossop 1974) rimesplintering_on: if (log_hmossopOn) then if (nCat>1) then !determine destination ice-phase category D_new = 10.e-6 !assumes ice crystals from rime splintering are tiny call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & iice_dest) else iice_dest = 1 endif iice_loop_HM: do iice = 1,nCat ! rime splintering occurs from accretion by large ice, assume a threshold ! mean mass size of 4 mm (ad-hoc, could be modified) if (qitot(i,k,iice).ge.qsmall.and.diam_ice(i,k,iice).ge.4000.e-6 & .and. (qccol(iice).gt.0. .or. qrcol(iice).gt.0.)) then if (t(i,k).gt.270.15) then dum = 0. elseif (t(i,k).le.270.15 .and. t(i,k).gt.268.15) then dum = (270.15-t(i,k))*0.5 elseif (t(i,k).le.268.15 .and. t(i,k).ge.265.15) then dum = (t(i,k)-265.15)*thrd elseif (t(i,k).lt.265.15) then dum = 0. endif !rime splintering from riming of cloud droplets ! dum1 = 35.e+4*qccol(iice)*dum*1000. ! 1000 is to convert kg to g ! dum2 = dum1*piov6*900.*(10.e-6)**3 ! assume 10 micron splinters ! qccol(iice) = qccol(iice)-dum2 ! subtract splintering from rime mass transfer ! if (qccol(iice) .lt. 0.) then ! dum2 = qccol(iice) ! qccol(iice) = 0. ! endif ! qcmul(iice_dest) = qcmul(iice_dest)+dum2 ! nimul(iice_dest) = nimul(iice_dest)+dum2/(piov6*900.*(10.e-6)**3) !rime splintering from riming of large drops (> 25 microns diameter) !for simplicitly it is assumed that all accreted rain contributes to splintering, !but accreted cloud water does not - hence why the code is commented out above dum1 = 35.e+4*qrcol(iice)*dum*1000. ! 1000 is to convert kg to g dum2 = dum1*piov6*900.*(10.e-6)**3 ! assume 10 micron splinters qrcol(iice) = qrcol(iice)-dum2 ! subtract splintering from rime mass transfer if (qrcol(iice) .lt. 0.) then dum2 = qrcol(iice) qrcol(iice) = 0. endif qrmul(iice_dest) = qrmul(iice_dest) + dum2 nimul(iice_dest) = nimul(iice_dest) + dum2/(piov6*900.*(10.e-6)**3) endif enddo iice_loop_HM endif rimesplintering_on !................................................ ! condensation/evaporation/deposition/sublimation ! (use semi-analytic formulation) ! calculate rain evaporation including ventilation if (qr(i,k).ge.qsmall) then call find_lookupTable_indices_3(dumii,dumjj,dum1,rdumii,rdumjj,inv_dum3,mu_r(i,k),lamr(i,k)) !interpolate value at mu_r dum1 = revap_table(dumii,dumjj)+(rdumii-real(dumii))*inv_dum3* & (revap_table(dumii+1,dumjj)-revap_table(dumii,dumjj)) !interoplate value at mu_r+1 dum2 = revap_table(dumii,dumjj+1)+(rdumii-real(dumii))*inv_dum3* & (revap_table(dumii+1,dumjj+1)-revap_table(dumii,dumjj+1)) !final interpolation dum = dum1+(rdumjj-real(dumjj))*(dum2-dum1) epsr = 2.*pi*cdistr(i,k)*rho(i,k)*dv*(f1r*gamma(mu_r(i,k)+2.)/(lamr(i,k))+f2r* & (rho(i,k)/mu)**0.5*sc**thrd*dum) else epsr = 0. endif if (qc(i,k).ge.qsmall) then epsc = 2.*pi*rho(i,k)*dv*cdist(i,k) else epsc = 0. endif !=== if (t(i,k).lt.273.15) then oabi = 1./abi xx = epsc + epsr + epsi_tot*(1.+xxls(i,k)*inv_cp*dqsdt)*oabi else xx = epsc + epsr endif dumqvi = qvi(i,k) !no modification due to latent heating !---- ! ! ! modify due to latent heating from riming rate ! ! ! - currently this is done by simple linear interpolation ! ! ! between conditions for dry and wet growth --> in wet growth it is assumed ! ! ! that particle surface temperature is at 0 C and saturation vapor pressure ! ! ! is that with respect to liquid. This simple treatment could be improved in the future. ! ! if (qwgrth(iice).ge.1.e-20) then ! ! dum = (qccol(iice)+qrcol(iice))/qwgrth(iice) ! ! else ! ! dum = 0. ! ! endif ! ! dumqvi = qvi(i,k) + dum*(qvs(i,k)-qvi(i,k)) ! ! dumqvi = min(qvs(i,k),dumqvi) !==== ! 'A' term including ice (Bergeron process) ! note: qv and T tendencies due to mixing and radiation are ! currently neglected --> assumed to be much smaller than cooling ! due to vertical motion which IS included ! The equivalent vertical velocity is set to be consistent with dT/dt ! since -g/cp*dum = dT/dt therefore dum = -cp/g*dT/dt ! note this formulation for dT/dt is not exact since pressure ! may change and t and t_old were both diagnosed using the current pressure ! errors from this assumption are small dum = -cp/g*(t(i,k)-t_old(i,k))*odt ! dum = qvs(i,k)*rho(i,k)*g*uzpl(i,k)/max(1.e-3,(pres(i,k)-polysvp1(t(i,k),0))) if (t(i,k).lt.273.15) then aaa = (qv(i,k)-qv_old(i,k))*odt - dqsdt*(-dum*g*inv_cp)-(qvs(i,k)-dumqvi)* & (1.+xxls(i,k)*inv_cp*dqsdt)*oabi*epsi_tot else aaa = (qv(i,k)-qv_old(i,k))*odt - dqsdt*(-dum*g*inv_cp) endif xx = max(1.e-20,xx) ! set lower bound on xx to prevent division by zero oxx = 1./xx if (qc(i,k).ge.qsmall) & qccon = (aaa*epsc*oxx+(ssat(i,k)-aaa*oxx)*odt*epsc*oxx*(1.-dexp(-dble(xx*dt))))/ab if (qr(i,k).ge.qsmall) & qrcon = (aaa*epsr*oxx+(ssat(i,k)-aaa*oxx)*odt*epsr*oxx*(1.-dexp(-dble(xx*dt))))/ab !for very small water contents, evaporate instantly if (sup(i,k).lt.-0.001 .and. qc(i,k).lt.1.e-12) qccon = -qc(i,k)*odt if (sup(i,k).lt.-0.001 .and. qr(i,k).lt.1.e-12) qrcon = -qr(i,k)*odt if (qccon.lt.0.) then qcevp = -qccon qccon = 0. endif if (qrcon.lt.0.) then qrevp = -qrcon nrevp = qrevp*(nr(i,k)/qr(i,k)) !nrevp = nrevp*exp(-0.2*mu_r(i,k)) !add mu dependence [Seifert (2008), neglecting size dependence] qrcon = 0. endif !limit total condensation/evaporation to saturation adjustment dumqvs = qv_sat(t(i,k),pres(i,k),0) qcon_satadj = (qv(i,k)-dumqvs)/(1.+xxlv(i,k)**2*dumqvs/(cp*rv*t(i,k)**2))*odt if (qccon+qrcon.gt.0.) then ratio = max(0.,qcon_satadj)/(qccon+qrcon) ratio = min(1.,ratio) qccon = qccon*ratio qrcon = qrcon*ratio elseif (qcevp+qrevp.gt.0.) then ratio = max(0.,-qcon_satadj)/(qcevp+qrevp) ratio = min(1.,ratio) qcevp = qcevp*ratio qrevp = qrevp*ratio endif iice_loop_depsub: do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall.and.t(i,k).lt.273.15) then qidep(iice) = (aaa*epsi(iice)*oxx+(ssat(i,k)-aaa*oxx)*odt*epsi(iice)*oxx* & (1.-dexp(-dble(xx*dt))))*oabi+(qvs(i,k)-dumqvi)*epsi(iice)*oabi endif !for very small ice contents in dry air, sublimate all ice instantly if (supi(i,k).lt.-0.001 .and. qitot(i,k,iice).lt.1.e-12) & qidep(iice) = -qitot(i,k,iice)*odt if (qidep(iice).lt.0.) then !note: limit to saturation adjustment (for dep and subl) is applied later qisub(iice) = -qidep(iice) qisub(iice) = qisub(iice)*clbfact_sub qisub(iice) = min(qisub(iice), qitot(i,k,iice)*dt) nisub(iice) = qisub(iice)*(nitot(i,k,iice)/qitot(i,k,iice)) qidep(iice) = 0. else qidep(iice) = qidep(iice)*clbfact_dep endif enddo iice_loop_depsub 444 continue !................................................................ ! deposition/condensation-freezing nucleation ! allow ice nucleation if < -15 C and > 5% ice supersaturation if (t(i,k).lt.258.15 .and. supi(i,k).ge.0.05) then ! dum = exp(-0.639+0.1296*100.*supi(i,k))*1000.*inv_rho(i,k) !Meyers et al. (1992) dum = 0.005*exp(0.304*(273.15-t(i,k)))*1000.*inv_rho(i,k) !Cooper (1986) dum = min(dum,100.e3*inv_rho(i,k)) N_nuc = max(0.,(dum-sum(nitot(i,k,:)))*odt) if (N_nuc.ge.1.e-20) then Q_nuc = max(0.,(dum-sum(nitot(i,k,:)))*mi0*odt) if (nCat>1) then !determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & iice_dest) else iice_dest = 1 endif qinuc(iice_dest) = Q_nuc ninuc(iice_dest) = N_nuc endif endif !................................................................. ! droplet activation ! for specified Nc, make sure droplets are present if conditions are supersaturated ! note that this is also applied at the first time step ! this is not applied at the first time step, since saturation adjustment is applied at the first step if (.not.(log_predictNc).and.sup(i,k).gt.1.e-6.and.it.gt.1) then dum = nccnst*inv_rho(i,k)*cons7-qc(i,k) dum = max(0.,dum) dumqvs = qv_sat(t(i,k),pres(i,k),0) dqsdt = xxlv(i,k)*dumqvs/(rv*t(i,k)*t(i,k)) ab = 1. + dqsdt*xxlv(i,k)*inv_cp dum = min(dum,(qv(i,k)-dumqvs)/ab) ! limit overdepletion of supersaturation qcnuc = dum*odt endif if (log_predictNc) then ! for predicted Nc, calculate activation explicitly from supersaturation ! note that this is also applied at the first time step ! note that this is also applied at the first time step if (sup(i,k).gt.1.e-6) then dum1 = 1./bact**0.5 sigvl = 0.0761 - 1.55e-4*(t(i,k)-273.15) aact = 2.*mw/(rhow*rr*t(i,k))*sigvl sm1 = 2.*dum1*(aact*thrd*inv_rm1)**1.5 sm2 = 2.*dum1*(aact*thrd*inv_rm2)**1.5 uu1 = 2.*log(sm1/sup(i,k))/(4.242*log(sig1)) uu2 = 2.*log(sm2/sup(i,k))/(4.242*log(sig2)) dum1 = nanew1*0.5*(1.-derf(uu1)) ! activated number in kg-1 mode 1 dum2 = nanew2*0.5*(1.-derf(uu2)) ! activated number in kg-1 mode 2 ! make sure this value is not greater than total number of aerosol dum2 = min((nanew1+nanew2),dum1+dum2) dum2 = (dum2-nc(i,k))*odt dum2 = max(0.,dum2) ncnuc = dum2 ! don't include mass increase from droplet activation during first time step ! since this is already accounted for by saturation adjustment below if (it.eq.1) then qcnuc = 0. else qcnuc = ncnuc*cons7 endif endif endif !................................................................ ! saturation adjustment to get initial cloud water ! This is only called once at the beginning of the simulation ! to remove any supersaturation in the intial conditions if (it.eq.1) then dumt = th(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) dumqv = qv(i,k) dumqvs = qv_sat(dumt,pres(i,k),0) dums = dumqv-dumqvs qccon = dums/(1.+xxlv(i,k)**2*dumqvs/(cp*rv*dumt**2))*odt qccon = max(0.,qccon) if (qccon.le.1.e-7) qccon = 0. endif !................ ! autoconversion qc_not_small: if (qc(i,k).ge.1.e-8) then if (iparam.eq.1) then !Seifert and Beheng (2001) dum = 1.-qc(i,k)/(qc(i,k)+qr(i,k)) dum1 = 600.*dum**0.68*(1.-dum**0.68)**3 ! qcaut = kc/(20.*2.6e-7)*(nu(i,k)+2.)*(nu(i,k)+4.)/(nu(i,k)+1.)**2* & ! (rho(i,k)*qc(i,k)/1000.)**4/(rho(i,k)*nc(i,k)/1.e+6)**2*(1.+ & ! dum1/(1.-dum)**2)*1000.*inv_rho(i,k) ! ncautc = qcaut*2./2.6e-7*1000. qcaut = kc*1.9230769e-5*(nu(i,k)+2.)*(nu(i,k)+4.)/(nu(i,k)+1.)**2* & (rho(i,k)*qc(i,k)*1.e-3)**4/(rho(i,k)*nc(i,k)*1.e-6)**2*(1.+ & dum1/(1.-dum)**2)*1000.*inv_rho(i,k) ncautc = qcaut*7.6923076e+9 elseif (iparam.eq.2) then !Beheng (1994) if (nc(i,k)*rho(i,k)*1.e-6 .lt. 100.) then qcaut = 6.e+28*inv_rho(i,k)*mu_c(i,k)**(-1.7)*(1.e-6*rho(i,k)* & nc(i,k))**(-3.3)*(1.e-3*rho(i,k)*qc(i,k))**4.7 else !2D interpolation of tabled logarithmic values dum = 41.46 + (nc(i,k)*1.e-6*rho(i,k)-100.)*(37.53-41.46)*5.e-3 dum1 = 39.36 + (nc(i,k)*1.e-6*rho(i,k)-100.)*(30.72-39.36)*5.e-3 qcaut = dum+(mu_c(i,k)-5.)*(dum1-dum)*0.1 ! 1000/rho is for conversion from g cm-3/s to kg/kg qcaut = exp(qcaut)*(1.e-3*rho(i,k)*qc(i,k))**4.7*1000.*inv_rho(i,k) endif ncautc = 7.7e+9*qcaut elseif (iparam.eq.3) then !Khroutdinov and Kogan (2000) dum = qc(i,k) qcaut = 1350.*dum**2.47*(nc(i,k)*1.e-6*rho(i,k))**(-1.79) ! note: ncautr is change in Nr; ncautc is change in Nc ncautr = qcaut*cons3 ncautc = qcaut*nc(i,k)/qc(i,k) endif if (qcaut .eq.0.) ncautc = 0. if (ncautc.eq.0.) qcaut = 0. endif qc_not_small !............................ ! self-collection of droplets if (qc(i,k).ge.qsmall) then if (iparam.eq.1) then !Seifert and Beheng (2001) ncslf = -kc*(1.e-3*rho(i,k)*qc(i,k))**2*(nu(i,k)+2.)/(nu(i,k)+1.)* & 1.e+6*inv_rho(i,k)+ncautc elseif (iparam.eq.2) then !Beheng (994) ncslf = -5.5e+16*inv_rho(i,k)*mu_c(i,k)**(-0.63)*(1.e-3*rho(i,k)*qc(i,k))**2 elseif (iparam.eq.3) then !Khroutdinov and Kogan (2000) ncslf = 0. endif endif !............................ ! accretion of cloud by rain if (qr(i,k).ge.qsmall .and. qc(i,k).ge.qsmall) then if (iparam.eq.1) then !Seifert and Beheng (2001) dum = 1.-qc(i,k)/(qc(i,k)+qr(i,k)) dum1 = (dum/(dum+5.e-4))**4 qcacc = kr*rho(i,k)*0.001*qc(i,k)*qr(i,k)*dum1 ncacc = qcacc*rho(i,k)*0.001*(nc(i,k)*rho(i,k)*1.e-6)/(qc(i,k)*rho(i,k)* & 0.001)*1.e+6*inv_rho(i,k) elseif (iparam.eq.2) then !Beheng (994) qcacc = 6.*rho(i,k)*(qc(i,k)*qr(i,k)) ncacc = qcacc*rho(i,k)*1.e-3*(nc(i,k)*rho(i,k)*1.e-6)/(qc(i,k)*rho(i,k)*1.e-3)* & 1.e+6*inv_rho(i,k) elseif (iparam.eq.3) then !Khroutdinov and Kogan (2000) qcacc = 67.*(qc(i,k)*qr(i,k))**1.15 ncacc = qcacc*nc(i,k)/qc(i,k) endif if (qcacc.eq.0.) ncacc = 0. if (ncacc.eq.0.) qcacc = 0. endif !..................................... ! self-collection and breakup of rain ! (breakup following modified Verlinde and Cotton scheme) if (qr(i,k).ge.qsmall) then ! include breakup dum1 = 280.e-6 ! use mass-mean diameter (do this by using ! the old version of lambda w/o mu dependence) ! note there should be a factor of 6^(1/3), but we ! want to keep breakup threshold consistent so 'dum' ! is expressed in terms of lambda rather than mass-mean D dum2 = (qr(i,k)/(pi*rhow*nr(i,k)))**thrd if (dum2.lt.dum1) then dum = 1. else if (dum2.ge.dum1) then dum = 2.-exp(2300.*(dum2-dum1)) endif if (iparam.eq.1.) then nrslf = dum*kr*1.e-3*qr(i,k)*nr(i,k)*rho(i,k) elseif (iparam.eq.2 .or. iparam.eq.3) then nrslf = dum*5.78*nr(i,k)*qr(i,k)*rho(i,k) endif endif !................................................................. ! conservation of water !................................................................. ! The microphysical process rates are computed above, based on the environmental conditions. ! The rates are adjusted here (where necessary) such that the sum of the sinks of mass cannot ! be greater than the sum of the sources, thereby resulting in overdepletion. !-- Limit ice process rates to prevent overdepletion of sources such that ! the subsequent adjustments are done with maximum possible rates for the ! time step. (note: most ice rates are adjusted here since they must be done ! simultaneously (outside of iice-loops) to distribute reduction proportionally ! amongst categories. dumqvi = qv_sat(t(i,k),pres(i,k),1) qdep_satadj = (qv(i,k)-dumqvi)/(1.+xxls(i,k)**2*dumqvi/(cp*rv*t(i,k)**2))*odt qidep = qidep*min(1.,max(0., qdep_satadj)/max(sum(qidep), 1.e-20)) qisub = qisub*min(1.,max(0.,-qdep_satadj)/max(sum(qisub), 1.e-20)) !qchetc = qchetc*min(1.,qc(i,k)*odt/max(sum(qchetc),1.e-20)) !currently not used !qrhetc = qrhetc*min(1.,qr(i,k)*odt/max(sum(qrhetc),1.e-20)) !currently not used !== ! vapor -- not needed, since all sinks already have limits imposed and the sum, therefore, ! cannot possibly overdeplete qv ! cloud sinks = (qcaut+qcacc+sum(qccol)+qcevp+sum(qchetc)+sum(qcheti)+sum(qcshd))*dt sources = qc(i,k) + (qccon+qcnuc)*dt if (sinks.gt.sources .and. sinks.ge.1.e-20) then ratio = sources/sinks qcaut = qcaut*ratio qcacc = qcacc*ratio qcevp = qcevp*ratio qccol = qccol*ratio qcheti = qcheti*ratio qcshd = qcshd*ratio !qchetc = qchetc*ratio endif ! rain sinks = (qrevp+sum(qrcol)+sum(qrhetc)+sum(qrheti)+sum(qrmul))*dt sources = qr(i,k) + (qrcon+qcaut+qcacc+sum(qimlt)+sum(qcshd))*dt if (sinks.gt.sources .and. sinks.ge.1.e-20) then ratio = sources/sinks qrevp = qrevp*ratio qrcol = qrcol*ratio qrheti = qrheti*ratio qrmul = qrmul*ratio !qrhetc = qrhetc*ratio endif ! ice do iice = 1,nCat sinks = (qisub(iice)+qimlt(iice))*dt sources = qitot(i,k,iice) + (qidep(iice)+qinuc(iice)+qrcol(iice)+qccol(iice)+ & qrhetc(iice)+qrheti(iice)+qchetc(iice)+qcheti(iice)+qrmul(iice))*dt do catcoll = 1,nCat !category interaction leading to source for iice category sources = sources + qicol(catcoll,iice)*dt !category interaction leading to sink for iice category sinks = sinks + qicol(iice,catcoll)*dt enddo if (sinks.gt.sources .and. sinks.ge.1.e-20) then ratio = sources/sinks qisub(iice) = qisub(iice)*ratio qimlt(iice) = qimlt(iice)*ratio do catcoll = 1,nCat qicol(iice,catcoll) = qicol(iice,catcoll)*ratio enddo endif enddo !iice-loop !--------------------------------------------------------------------------------- ! update prognostic microphysics and thermodynamics variables !--------------------------------------------------------------------------------- !-- ice-phase dependent processes: iice_loop2: do iice = 1,nCat qc(i,k) = qc(i,k) + (-qchetc(iice)-qcheti(iice)-qccol(iice)-qcshd(iice))*dt if (log_predictNc) then nc(i,k) = nc(i,k) + (-nccol(iice)-nchetc(iice)-ncheti(iice))*dt endif qr(i,k) = qr(i,k) + (-qrcol(iice)+qimlt(iice)-qrhetc(iice)-qrheti(iice)+ & qcshd(iice)-qrmul(iice))*dt ! apply factor to source for rain number from melting of ice, (ad-hoc ! but accounts for rapid evaporation of small melting ice particles) nr(i,k) = nr(i,k) + (-nrcol(iice)-nrhetc(iice)-nrheti(iice)+nmltratio*nimlt(iice)+ & nrshdr(iice)+ncshdc(iice))*dt if (qitot(i,k,iice).ge.qsmall) then ! add sink terms, assume density stays constant for sink terms birim(i,k,iice) = birim(i,k,iice) - ((qisub(iice)+qimlt(iice))/qitot(i,k,iice))* & dt*birim(i,k,iice) qirim(i,k,iice) = qirim(i,k,iice) - ((qisub(iice)+qimlt(iice))*qirim(i,k,iice)/ & qitot(i,k,iice))*dt qitot(i,k,iice) = qitot(i,k,iice) - (qisub(iice)+qimlt(iice))*dt endif dum = (qrcol(iice)+qccol(iice)+qrhetc(iice)+qrheti(iice)+ & qchetc(iice)+qcheti(iice)+qrmul(iice))*dt qitot(i,k,iice) = qitot(i,k,iice) + (qidep(iice)+qinuc(iice))*dt + dum qirim(i,k,iice) = qirim(i,k,iice) + dum birim(i,k,iice) = birim(i,k,iice) + (qrcol(iice)*inv_rho_rimeMax+qccol(iice)/ & rhorime_c(iice)+(qrhetc(iice)+qrheti(iice)+qchetc(iice)+ & qcheti(iice)+qrmul(iice))*inv_rho_rimeMax)*dt nitot(i,k,iice) = nitot(i,k,iice) + (ninuc(iice)-nimlt(iice)-nisub(iice)- & nislf(iice)+nrhetc(iice)+nrheti(iice)+nchetc(iice)+ & ncheti(iice)+nimul(iice))*dt interactions_loop: do catcoll = 1,nCat ! add ice-ice category interaction collection tendencies ! note: nicol is a sink for the collectee category, but NOT a source for collector qitot(i,k,catcoll) = qitot(i,k,catcoll) - qicol(catcoll,iice)*dt nitot(i,k,catcoll) = nitot(i,k,catcoll) - nicol(catcoll,iice)*dt qitot(i,k,iice) = qitot(i,k,iice) + qicol(catcoll,iice)*dt ! now modify rime mass and density, assume collection does not modify rime mass ! fraction or density of the collectee, consistent with the assumption that ! these are constant over the PSD if (qitot(i,k,catcoll).ge.qsmall) then !source for collector category qirim(i,k,iice) = qirim(i,k,iice)+qicol(catcoll,iice)*dt* & qirim(i,k,catcoll)/qitot(i,k,catcoll) birim(i,k,iice) = birim(i,k,iice)+qicol(catcoll,iice)*dt* & birim(i,k,catcoll)/qitot(i,k,catcoll) !sink for collectee category qirim(i,k,catcoll) = qirim(i,k,catcoll)-qicol(catcoll,iice)*dt* & qirim(i,k,catcoll)/qitot(i,k,catcoll) birim(i,k,catcoll) = birim(i,k,catcoll)-qicol(catcoll,iice)*dt* & birim(i,k,catcoll)/qitot(i,k,catcoll) endif enddo interactions_loop ! catcoll loop if (qirim(i,k,iice).lt.0.) then qirim(i,k,iice) = 0. birim(i,k,iice) = 0. endif ! densify under wet growth ! -- to be removed post-v2.1. Densification automatically happens ! during wet growth due to parameterized rime density -- if (log_wetgrowth(iice)) then qirim(i,k,iice) = qitot(i,k,iice) birim(i,k,iice) = qirim(i,k,iice)*inv_rho_rimeMax endif ! densify in above freezing conditions and melting ! -- future work -- ! Ideally, this will be treated with the predicted liquid fraction in ice. ! Alternatively, it can be simplified by tending qirim -- qitot ! and birim such that rho_rim (qirim/birim) --> rho_liq during melting. ! == qv(i,k) = qv(i,k) + (-qidep(iice)+qisub(iice)-qinuc(iice))*dt th(i,k) = th(i,k) + th(i,k)/t(i,k)*((qidep(iice)-qisub(iice)+qinuc(iice))* & xxls(i,k)*inv_cp +(qrcol(iice)+qccol(iice)+qchetc(iice)+ & qcheti(iice)+qrhetc(iice)+qrheti(iice)-qimlt(iice))* & xlf(i,k)*inv_cp)*dt enddo iice_loop2 !== !-- warm-phase only processes: qc(i,k) = qc(i,k) + (-qcacc-qcaut+qcnuc+qccon-qcevp)*dt qr(i,k) = qr(i,k) + (qcacc+qcaut+qrcon-qrevp)*dt if (log_predictNc) then nc(i,k) = nc(i,k) + (-ncacc-ncautc+ncslf+ncnuc)*dt else nc(i,k) = nccnst*inv_rho(i,k) endif if (iparam.eq.1 .or. iparam.eq.2) then nr(i,k) = nr(i,k) + (0.5*ncautc-nrslf-nrevp)*dt else nr(i,k) = nr(i,k) + (ncautr-nrslf-nrevp)*dt endif qv(i,k) = qv(i,k) + (-qcnuc-qccon-qrcon+qcevp+qrevp)*dt th(i,k) = th(i,k) + th(i,k)/t(i,k)*((qcnuc+qccon+qrcon-qcevp-qrevp)*xxlv(i,k)* & inv_cp)*dt !== ! clipping for small hydrometeor values if (qc(i,k).lt.qsmall) then qv(i,k) = qv(i,k) + qc(i,k) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qc(i,k)*xxlv(i,k)*inv_cp qc(i,k) = 0. nc(i,k) = 0. else log_hydrometeorsPresent = .true. endif if (qr(i,k).lt.qsmall) then qv(i,k) = qv(i,k) + qr(i,k) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qr(i,k)*xxlv(i,k)*inv_cp qr(i,k) = 0. nr(i,k) = 0. else log_hydrometeorsPresent = .true. endif do iice = 1,nCat if (qitot(i,k,iice).lt.qsmall) then qv(i,k) = qv(i,k) + qitot(i,k,iice) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qitot(i,k,iice)*xxls(i,k)*inv_cp qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. else log_hydrometeorsPresent = .true. endif enddo !iice-loop call impose_max_total_Ni(nitot(i,k,:),max_total_Ni,inv_rho(i,k)) !--------------------------------------------------------------------------------- 555 continue enddo k_loop_main !NOTE: At this point, it is possible to have negative (but small) nc, nr, nitot. This is not ! a problem; those values get clipped to zero in the sedimentation section (if necessary). ! (This is not done above simply for efficiency purposes.) if (debug_ON) then tmparr1(i,:) = th(i,:)*(pres(i,:)*1.e-5)**(rd*inv_cp) call check_values(qv,tmparr1,qc,qr,nr,qitot,qirim,nitot,birim,i,it,.true.,debug_ABORT,300) endif if (.not. log_hydrometeorsPresent) goto 333 !------------------------------------------------------------------------------------------! ! End of main microphysical processes section !==========================================================================================! !==========================================================================================! ! Sedimentation: !------------------------------------------------------------------------------------------! ! Cloud sedimentation: (adaptivive substepping) log_qxpresent = .false. k_qxtop = kbot !find top, determine qxpresent do k = ktop,kbot,-kdir if (qc(i,k).ge.qsmall) then log_qxpresent = .true. k_qxtop = k exit endif enddo qc_present: if (log_qxpresent) then dt_left = dt !time remaining for sedi over full model (mp) time step prt_accum = 0. !precip rate for individual category !find bottom do k = kbot,k_qxtop,kdir if (qc(i,k).ge.qsmall) then k_qxbot = k exit endif enddo two_moment: if (log_predictNc) then !2-moment cloud: substep_sedi_c2: do while (dt_left.gt.1.e-4) Co_max = 0. V_qc = 0. V_nc = 0. kloop_sedi_c2: do k = k_qxtop,k_qxbot,-kdir qc_notsmall_c2: if (qc(i,k)>qsmall) then !-- compute Vq, Vn call get_cloud_dsd2(qc(i,k),nc(i,k),mu_c(i,k),rho(i,k),nu(i,k),dnu, & lamc(i,k),lammin,lammax,tmp1,tmp2) dum = 1./lamc(i,k)**bcn V_qc(k) = acn(i,k)*gamma(4.+bcn+mu_c(i,k))*dum/(gamma(mu_c(i,k)+4.)) V_nc(k) = acn(i,k)*gamma(1.+bcn+mu_c(i,k))*dum/(gamma(mu_c(i,k)+1.)) endif qc_notsmall_c2 Co_max = max(Co_max, V_qc(k)*dt_left*inv_dzq(i,k)) enddo kloop_sedi_c2 !-- compute dt_sub tmpint1 = int(Co_max+1.) !number of substeps remaining if dt_sub were constant dt_sub = min(dt_left, dt_left/float(tmpint1)) if (k_qxbot.eq.kbot) then k_temp = k_qxbot else k_temp = k_qxbot-kdir endif !-- calculate fluxes do k = k_temp,k_qxtop,kdir flux_qx(k) = V_qc(k)*qc(i,k)*rho(i,k) flux_nx(k) = V_nc(k)*nc(i,k)*rho(i,k) enddo !accumulated precip during time step if (k_qxbot.eq.kbot) prt_accum = prt_accum + flux_qx(kbot)*dt_sub !or, optimized: prt_accum = prt_accum - (k_qxbot.eq.kbot)*dt_sub !-- for top level only (since flux is 0 above) k = k_qxtop fluxdiv_qx = -flux_qx(k)*inv_dzq(i,k) fluxdiv_nx = -flux_nx(k)*inv_dzq(i,k) qc(i,k) = qc(i,k) + fluxdiv_qx*dt_sub*inv_rho(i,k) nc(i,k) = nc(i,k) + fluxdiv_nx*dt_sub*inv_rho(i,k) do k = k_qxtop-kdir,k_temp,-kdir fluxdiv_qx = (flux_qx(k+kdir) - flux_qx(k))*inv_dzq(i,k) fluxdiv_nx = (flux_nx(k+kdir) - flux_nx(k))*inv_dzq(i,k) qc(i,k) = qc(i,k) + fluxdiv_qx*dt_sub*inv_rho(i,k) nc(i,k) = nc(i,k) + fluxdiv_nx*dt_sub*inv_rho(i,k) enddo dt_left = dt_left - dt_sub !update time remaining for sedimentation if (k_qxbot.ne.kbot) k_qxbot = k_qxbot - kdir enddo substep_sedi_c2 else !1-moment cloud: substep_sedi_c1: do while (dt_left.gt.1.e-4) Co_max = 0. V_qc = 0. kloop_sedi_c1: do k = k_qxtop,k_qxbot,-kdir qc_notsmall_c1: if (qc(i,k)>qsmall) then call get_cloud_dsd2(qc(i,k),nc(i,k),mu_c(i,k),rho(i,k),nu(i,k),dnu, & lamc(i,k),lammin,lammax,tmp1,tmp2) dum = 1./lamc(i,k)**bcn V_qc(k) = acn(i,k)*gamma(4.+bcn+mu_c(i,k))*dum/(gamma(mu_c(i,k)+4.)) endif qc_notsmall_c1 Co_max = max(Co_max, V_qc(k)*dt_left*inv_dzq(i,k)) enddo kloop_sedi_c1 tmpint1 = int(Co_max+1.) !number of substeps remaining if dt_sub were constant dt_sub = min(dt_left, dt_left/float(tmpint1)) if (k_qxbot.eq.kbot) then k_temp = k_qxbot else k_temp = k_qxbot-kdir endif do k = k_temp,k_qxtop,kdir flux_qx(k) = V_qc(k)*qc(i,k)*rho(i,k) enddo !accumulated precip during time step if (k_qxbot.eq.kbot) prt_accum = prt_accum + flux_qx(kbot)*dt_sub !-- for top level only (since flux is 0 above) k = k_qxtop fluxdiv_qx = -flux_qx(k)*inv_dzq(i,k) qc(i,k) = qc(i,k) + fluxdiv_qx*dt_sub*inv_rho(i,k) do k = k_qxtop-kdir,k_temp,-kdir fluxdiv_qx = (flux_qx(k+kdir) - flux_qx(k))*inv_dzq(i,k) qc(i,k) = qc(i,k) + fluxdiv_qx*dt_sub*inv_rho(i,k) enddo dt_left = dt_left - dt_sub !update time remaining for sedimentation if (k_qxbot.ne.kbot) k_qxbot = k_qxbot - kdir enddo substep_sedi_c1 ENDIF two_moment prt_liq(i) = prt_accum*inv_rhow*odt !note, contribution from rain is added below endif qc_present !------------------------------------------------------------------------------------------! ! Rain sedimentation: (adaptivive substepping) log_qxpresent = .false. k_qxtop = kbot !find top, determine qxpresent do k = ktop,kbot,-kdir if (qr(i,k).ge.qsmall) then log_qxpresent = .true. k_qxtop = k exit endif ! enddo qr_present: if (log_qxpresent) then dt_left = dt !time remaining for sedi over full model (mp) time step prt_accum = 0. !precip rate for individual category !find bottom do k = kbot,k_qxtop,kdir if (qr(i,k).ge.qsmall) then k_qxbot = k exit endif enddo substep_sedi_r: do while (dt_left.gt.1.e-4) Co_max = 0. V_qr = 0. V_nr = 0. kloop_sedi_r1: do k = k_qxtop,k_qxbot,-kdir qr_notsmall_r1: if (qr(i,k)>qsmall) then !Compute Vq, Vn: nr(i,k) = max(nr(i,k),nsmall) call get_rain_dsd2(qr(i,k),nr(i,k),mu_r(i,k),rdumii,dumii,lamr(i,k), & mu_r_table,tmp1,tmp2) call find_lookupTable_indices_3(dumii,dumjj,dum1,rdumii,rdumjj,inv_dum3, & mu_r(i,k),lamr(i,k)) !mass-weighted fall speed: dum1 = vm_table(dumii,dumjj)+(rdumii-real(dumii))*inv_dum3* & (vm_table(dumii+1,dumjj)-vm_table(dumii,dumjj)) !at mu_r dum2 = vm_table(dumii,dumjj+1)+(rdumii-real(dumii))*inv_dum3* & (vm_table(dumii+1,dumjj+1)-vm_table(dumii,dumjj+1)) !at mu_r+1 V_qr(k) = dum1 + (rdumjj-real(dumjj))*(dum2-dum1) !interpolated V_qr(k) = V_qr(k)*rhofacr(i,k) !corrected for air density ! number-weighted fall speed: dum1 = vn_table(dumii,dumjj)+(rdumii-real(dumii))*inv_dum3* & (vn_table(dumii+1,dumjj)-vn_table(dumii,dumjj) ) !at mu_r dum2 = vn_table(dumii,dumjj+1)+(rdumii-real(dumii))*inv_dum3* & (vn_table(dumii+1,dumjj+1)-vn_table(dumii,dumjj+1)) !at mu_r+1 V_nr(k) = dum1+(rdumjj-real(dumjj))*(dum2-dum1) !interpolated V_nr(k) = V_nr(k)*rhofacr(i,k) !corrected for air density endif qr_notsmall_r1 Co_max = max(Co_max, V_qr(k)*dt_left*inv_dzq(i,k)) ! Co_max = max(Co_max, max(V_nr(k),V_qr(k))*dt_left*inv_dzq(i,k)) enddo kloop_sedi_r1 !-- compute dt_sub tmpint1 = int(Co_max+1.) !number of substeps remaining if dt_sub were constant dt_sub = min(dt_left, dt_left/float(tmpint1)) if (k_qxbot.eq.kbot) then k_temp = k_qxbot else k_temp = k_qxbot-kdir endif !-- calculate fluxes do k = k_temp,k_qxtop,kdir flux_qx(k) = V_qr(k)*qr(i,k)*rho(i,k) flux_nx(k) = V_nr(k)*nr(i,k)*rho(i,k) enddo !accumulated precip during time step if (k_qxbot.eq.kbot) prt_accum = prt_accum + flux_qx(kbot)*dt_sub !or, optimized: prt_accum = prt_accum - (k_qxbot.eq.kbot)*dt_sub !--- for top level only (since flux is 0 above) k = k_qxtop !- compute flux divergence fluxdiv_qx = -flux_qx(k)*inv_dzq(i,k) fluxdiv_nx = -flux_nx(k)*inv_dzq(i,k) !- update prognostic variables qr(i,k) = qr(i,k) + fluxdiv_qx*dt_sub*inv_rho(i,k) nr(i,k) = nr(i,k) + fluxdiv_nx*dt_sub*inv_rho(i,k) do k = k_qxtop-kdir,k_temp,-kdir !-- compute flux divergence fluxdiv_qx = (flux_qx(k+kdir) - flux_qx(k))*inv_dzq(i,k) fluxdiv_nx = (flux_nx(k+kdir) - flux_nx(k))*inv_dzq(i,k) !-- update prognostic variables qr(i,k) = qr(i,k) + fluxdiv_qx*dt_sub*inv_rho(i,k) nr(i,k) = nr(i,k) + fluxdiv_nx*dt_sub*inv_rho(i,k) enddo dt_left = dt_left - dt_sub !update time remaining for sedimentation if (k_qxbot.ne.kbot) k_qxbot = k_qxbot - kdir !or, optimzed: k_qxbot = k_qxbot +(k_qxbot.eq.kbot)*kdir enddo substep_sedi_r prt_liq(i) = prt_liq(i) + prt_accum*inv_rhow*odt endif qr_present !------------------------------------------------------------------------------------------! ! Ice sedimentation: (adaptivive substepping) iice_loop_sedi_ice: do iice = 1,nCat log_qxpresent = .false. !note: this applies to ice category 'iice' only k_qxtop = kbot !find top, determine qxpresent do k = ktop,kbot,-kdir if (qitot(i,k,iice).ge.qsmall) then log_qxpresent = .true. k_qxtop = k exit endif ! enddo !k-loop qi_present: if (log_qxpresent) then dt_left = dt !time remaining for sedi over full model (mp) time step prt_accum = 0. !precip rate for individual category !find bottom do k = kbot,k_qxtop,kdir if (qitot(i,k,iice).ge.qsmall) then k_qxbot = k exit endif enddo substep_sedi_i: do while (dt_left.gt.1.e-4) Co_max = 0. V_qit = 0. V_nit = 0. !V_zit = 0. kloop_sedi_i1: do k = k_qxtop,k_qxbot,-kdir !-- compute Vq, Vn (get values from lookup table) qi_notsmall_i1: if (qitot(i,k,iice)>qsmall) then !--Compute Vq, Vn: nitot(i,k,iice) = max(nitot(i,k,iice),nsmall) !impose lower limits to prevent log(<0) call calc_bulkRhoRime(qitot(i,k,iice),qirim(i,k,iice),birim(i,k,iice),rhop) !if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) call find_lookupTable_indices_1a(dumi,dumjj,dumii,dumzz,dum1,dum4, & dum5,dum6,isize,rimsize,densize,zsize, & qitot(i,k,iice),nitot(i,k,iice),qirim(i,k,iice),& 999.,rhop) call access_lookup_table(dumjj,dumii,dumi, 1,dum1,dum4,dum5,f1pr01) call access_lookup_table(dumjj,dumii,dumi, 2,dum1,dum4,dum5,f1pr02) call access_lookup_table(dumjj,dumii,dumi, 7,dum1,dum4,dum5,f1pr09) call access_lookup_table(dumjj,dumii,dumi, 8,dum1,dum4,dum5,f1pr10) !call access_lookup_table(dumzz,dumjj,dumii,dumi, 1,dum1,dum4,dum5,dum6,f1pr01) !-- future (3-moment ice) !call access_lookup_table(dumzz,dumjj,dumii,dumi, 2,dum1,dum4,dum5,dum6,f1pr02) !call access_lookup_table(dumzz,dumjj,dumii,dumi, 7,dum1,dum4,dum5,dum6,f1pr09) !call access_lookup_table(dumzz,dumjj,dumii,dumi, 8,dum1,dum4,dum5,dum6,f1pr10) !call access_lookup_table(dumzz,dumjj,dumii,dumi,13,dum1,dum4,dum5,dum6,f1pr19) !mom6-weighted V !call access_lookup_table(dumzz,dumjj,dumii,dumi,14,dum1,dum4,dum5,dum6,f1pr020) !z_max !call access_lookup_table(dumzz,dumjj,dumii,dumi,15,dum1,dum4,dum5,dum6,f1pr021) !z_min !-impose mean ice size bounds (i.e. apply lambda limiters) ! note that the Nmax and Nmin are normalized and thus need to be multiplied by existing N nitot(i,k,iice) = min(nitot(i,k,iice),f1pr09*nitot(i,k,iice)) nitot(i,k,iice) = max(nitot(i,k,iice),f1pr10*nitot(i,k,iice)) !zitot(i,k,iice) = min(zitot(i,k,iice),f1pr020) !adjust Zi if needed to make sure mu_i is in bounds !zitot(i,k,iice) = max(zitot(i,k,iice),f1pr021) V_qit(k) = f1pr02*rhofaci(i,k) !mass-weighted fall speed (with density factor) V_nit(k) = f1pr01*rhofaci(i,k) !number-weighted fall speed (with density factor) !V_zit(k) = f1pr19*rhofaci(i,k) !moment6-weighted fall speed (with density factor) !== endif qi_notsmall_i1 Co_max = max(Co_max, V_qit(k)*dt_left*inv_dzq(i,k)) enddo kloop_sedi_i1 !-- compute dt_sub tmpint1 = int(Co_max+1.) !number of substeps remaining if dt_sub were constant dt_sub = min(dt_left, dt_left/float(tmpint1)) if (k_qxbot.eq.kbot) then k_temp = k_qxbot else k_temp = k_qxbot-kdir endif !-- calculate fluxes do k = k_temp,k_qxtop,kdir flux_qit(k) = V_qit(k)*qitot(i,k,iice)*rho(i,k) flux_nit(k) = V_nit(k)*nitot(i,k,iice)*rho(i,k) flux_qir(k) = V_qit(k)*qirim(i,k,iice)*rho(i,k) flux_bir(k) = V_qit(k)*birim(i,k,iice)*rho(i,k) !flux_zit(k) = V_zit(k)*zitot(i,k,iice)*rho(i,k) enddo !accumulated precip during time step if (k_qxbot.eq.kbot) prt_accum = prt_accum + flux_qit(kbot)*dt_sub !or, optimized: prt_accum = prt_accum - (k_qxbot.eq.kbot)*dt_sub !--- for top level only (since flux is 0 above) k = k_qxtop !-- compute flux divergence fluxdiv_qit = -flux_qit(k)*inv_dzq(i,k) fluxdiv_qir = -flux_qir(k)*inv_dzq(i,k) fluxdiv_bir = -flux_bir(k)*inv_dzq(i,k) fluxdiv_nit = -flux_nit(k)*inv_dzq(i,k) !fluxdiv_zit = -flux_zit(k)*inv_dzq(i,k) !-- update prognostic variables qitot(i,k,iice) = qitot(i,k,iice) + fluxdiv_qit*dt_sub*inv_rho(i,k) qirim(i,k,iice) = qirim(i,k,iice) + fluxdiv_qir*dt_sub*inv_rho(i,k) birim(i,k,iice) = birim(i,k,iice) + fluxdiv_bir*dt_sub*inv_rho(i,k) nitot(i,k,iice) = nitot(i,k,iice) + fluxdiv_nit*dt_sub*inv_rho(i,k) !zitot(i,k,iice) = zitot(i,k,iice) + fluxdiv_nit*dt_sub*inv_rho(i,k) do k = k_qxtop-kdir,k_temp,-kdir !-- compute flux divergence fluxdiv_qit = (flux_qit(k+kdir) - flux_qit(k))*inv_dzq(i,k) fluxdiv_qir = (flux_qir(k+kdir) - flux_qir(k))*inv_dzq(i,k) fluxdiv_bir = (flux_bir(k+kdir) - flux_bir(k))*inv_dzq(i,k) fluxdiv_nit = (flux_nit(k+kdir) - flux_nit(k))*inv_dzq(i,k) !fluxdiv_zit = (flux_zit(k+kdir) - flux_zit(k))*inv_dzq(i,k) !-- update prognostic variables qitot(i,k,iice) = qitot(i,k,iice) + fluxdiv_qit*dt_sub*inv_rho(i,k) qirim(i,k,iice) = qirim(i,k,iice) + fluxdiv_qir*dt_sub*inv_rho(i,k) birim(i,k,iice) = birim(i,k,iice) + fluxdiv_bir*dt_sub*inv_rho(i,k) nitot(i,k,iice) = nitot(i,k,iice) + fluxdiv_nit*dt_sub*inv_rho(i,k) !zitot(i,k,iice) = zitot(i,k,iice) + fluxdiv_nit*dt_sub*inv_rho(i,k) enddo dt_left = dt_left - dt_sub !update time remaining for sedimentation if (k_qxbot.ne.kbot) k_qxbot = k_qxbot - kdir !or, optimzed: k_qxbot = k_qxbot +(k_qxbot.eq.kbot)*kdir enddo substep_sedi_i prt_sol(i) = prt_sol(i) + prt_accum*inv_rhow*odt endif qi_present enddo iice_loop_sedi_ice !iice-loop !------------------------------------------------------------------------------------------! ! if (debug_ON) call check_values(qv,T,qc,qr,nr,qitot,qirim,nitot,birim,i,it,.true.,debug_ABORT,600) !------------------------------------------------------------------------------------------! ! End of sedimentation section !==========================================================================================! !....................................... ! homogeneous freezing of cloud and rain k_loop_fz: do k = kbot,ktop,kdir ! compute mean-mass ice diameters (estimated; rigorous approach to be implemented later) diam_ice(i,k,:) = 0. do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall) then dum1 = max(nitot(i,k,iice),nsmall) dum2 = 500. !ice density diam_ice(i,k,iice) = ((qitot(i,k,iice)*6.)/(dum1*dum2*pi))**thrd endif enddo !iice loop if (qc(i,k).ge.qsmall .and. t(i,k).lt.233.15) then Q_nuc = qc(i,k) N_nuc = max(nc(i,k),nsmall) if (nCat>1) then !determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & iice_dest) else iice_dest = 1 endif qirim(i,k,iice_dest) = qirim(i,k,iice_dest) + Q_nuc qitot(i,k,iice_dest) = qitot(i,k,iice_dest) + Q_nuc birim(i,k,iice_dest) = birim(i,k,iice_dest) + Q_nuc*inv_rho_rimeMax nitot(i,k,iice_dest) = nitot(i,k,iice_dest) + N_nuc th(i,k) = th(i,k) + th(i,k)/t(i,k)*Q_nuc*xlf(i,k)*inv_cp qc(i,k) = 0. != qc(i,k) - Q_nuc nc(i,k) = 0. != nc(i,k) - N_nuc endif if (qr(i,k).ge.qsmall .and. t(i,k).lt.233.15) then Q_nuc = qr(i,k) N_nuc = max(nr(i,k),nsmall) if (nCat>1) then !determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & iice_dest) else iice_dest = 1 endif qirim(i,k,iice_dest) = qirim(i,k,iice_dest) + Q_nuc qitot(i,k,iice_dest) = qitot(i,k,iice_dest) + Q_nuc birim(i,k,iice_dest) = birim(i,k,iice_dest) + Q_nuc*inv_rho_rimeMax nitot(i,k,iice_dest) = nitot(i,k,iice_dest) + N_nuc th(i,k) = th(i,k) + th(i,k)/t(i,k)*Q_nuc*xlf(i,k)*inv_cp qr(i,k) = 0. ! = qr(i,k) - Q_nuc nr(i,k) = 0. ! = nr(i,k) - N_nuc endif enddo k_loop_fz ! if (debug_ON) call check_values(qv,T,qc,qr,nr,qitot,qirim,nitot,birim,i,it,.true.,debug_ABORT,700) !................................................... ! final checks to ensure consistency of mass/number ! and compute diagnostic fields for output k_loop_final_diagnostics: do k = kbot,ktop,kdir ! cloud: if (qc(i,k).ge.qsmall) then call get_cloud_dsd2(qc(i,k),nc(i,k),mu_c(i,k),rho(i,k),nu(i,k),dnu,lamc(i,k), & lammin,lammax,tmp1,tmp2) diag_effc(i,k) = 0.5*(mu_c(i,k)+3.)/lamc(i,k) else qv(i,k) = qv(i,k)+qc(i,k) th(i,k) = th(i,k)-th(i,k)/t(i,k)*qc(i,k)*xxlv(i,k)*inv_cp qc(i,k) = 0. nc(i,k) = 0. endif ! rain: if (qr(i,k).ge.qsmall) then ! call get_rain_dsd(qr(i,k),nr(i,k),mu_r(i,k),rdumii,dumii,lamr(i,k),mu_r_table, & ! tmp1,tmp2,log_tmp1,tmpint1,tmpint2) call get_rain_dsd2(qr(i,k),nr(i,k),mu_r(i,k),rdumii,dumii,lamr(i,k),mu_r_table, & ! cdistr(i,k),logn0r(i,k)) tmp1,tmp2) ! hm, turn off soft lambda limiter ! impose size limits for rain with 'soft' lambda limiter ! (adjusts over a set timescale rather than within one timestep) ! dum2 = (qr(i,k)/(pi*rhow*nr(i,k)))**thrd ! if (dum2.gt.dbrk) then ! dum = qr(i,k)*cons4 ! !dum1 = (dum-nr(i,k))/max(60.,dt) !time scale for adjustment is 60 s ! dum1 = (dum-nr(i,k))*timeScaleFactor ! nr(i,k) = nr(i,k)+dum1*dt ! endif !diag_effr(i,k) = 0.5*(mu_r(i,k)+3.)/lamr(i,k) (currently not used) ! ze_rain(i,k) = n0r(i,k)*720./lamr(i,k)**3/lamr(i,k)**3/lamr(i,k) ! non-exponential rain: ze_rain(i,k) = nr(i,k)*(mu_r(i,k)+6.)*(mu_r(i,k)+5.)*(mu_r(i,k)+4.)* & (mu_r(i,k)+3.)*(mu_r(i,k)+2.)*(mu_r(i,k)+1.)/lamr(i,k)**6 ze_rain(i,k) = max(ze_rain(i,k),1.e-22) else qv(i,k) = qv(i,k)+qr(i,k) th(i,k) = th(i,k)-th(i,k)/t(i,k)*qr(i,k)*xxlv(i,k)*inv_cp qr(i,k) = 0. nr(i,k) = 0. endif ! ice: call impose_max_total_Ni(nitot(i,k,:),max_total_Ni,inv_rho(i,k)) iice_loop_final_diagnostics: do iice = 1,nCat qi_not_small: if (qitot(i,k,iice).ge.qsmall) then !impose lower limits to prevent taking log of # < 0 nitot(i,k,iice) = max(nitot(i,k,iice),nsmall) nr(i,k) = max(nr(i,k),nsmall) call calc_bulkRhoRime(qitot(i,k,iice),qirim(i,k,iice),birim(i,k,iice),rhop) ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) call find_lookupTable_indices_1a(dumi,dumjj,dumii,dumzz,dum1,dum4, & dum5,dum6,isize,rimsize,densize,zsize, & qitot(i,k,iice),nitot(i,k,iice), & qirim(i,k,iice),999.,rhop) !qirim(i,k,iice),zitot(i,k,iice),rhop) call access_lookup_table(dumjj,dumii,dumi, 2,dum1,dum4,dum5,f1pr02) call access_lookup_table(dumjj,dumii,dumi, 6,dum1,dum4,dum5,f1pr06) call access_lookup_table(dumjj,dumii,dumi, 7,dum1,dum4,dum5,f1pr09) call access_lookup_table(dumjj,dumii,dumi, 8,dum1,dum4,dum5,f1pr10) call access_lookup_table(dumjj,dumii,dumi, 9,dum1,dum4,dum5,f1pr13) call access_lookup_table(dumjj,dumii,dumi,11,dum1,dum4,dum5,f1pr15) call access_lookup_table(dumjj,dumii,dumi,12,dum1,dum4,dum5,f1pr16) ! impose mean ice size bounds (i.e. apply lambda limiters) ! note that the Nmax and Nmin are normalized and thus need to be multiplied by existing N nitot(i,k,iice) = min(nitot(i,k,iice),f1pr09*nitot(i,k,iice)) nitot(i,k,iice) = max(nitot(i,k,iice),f1pr10*nitot(i,k,iice)) !--this should already be done in s/r 'calc_bulkRhoRime' if (qirim(i,k,iice).lt.qsmall) then qirim(i,k,iice) = 0. birim(i,k,iice) = 0. endif !== ! note that reflectivity from lookup table is normalized, so we need to multiply by N diag_vmi(i,k,iice) = f1pr02*rhofaci(i,k) diag_effi(i,k,iice) = f1pr06 ! units are in m diag_di(i,k,iice) = f1pr15 diag_rhoi(i,k,iice) = f1pr16 ! note factor of air density below is to convert from m^6/kg to m^6/m^3 ze_ice(i,k) = ze_ice(i,k) + 0.1892*f1pr13*nitot(i,k,iice)*rho(i,k) ! sum contribution from each ice category (note: 0.1892 = 0.176/0.93) ze_ice(i,k) = max(ze_ice(i,k),1.e-22) else qv(i,k) = qv(i,k) + qitot(i,k,iice) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qitot(i,k,iice)*xxls(i,k)*inv_cp qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. diag_di(i,k,iice) = 0. endif qi_not_small enddo iice_loop_final_diagnostics ! sum ze components and convert to dBZ diag_ze(i,k) = 10.*log10((ze_rain(i,k) + ze_ice(i,k))*1.d+18) ! if qr is very small then set Nr to 0 (needs to be done here after call ! to ice lookup table because a minimum Nr of nsmall will be set otherwise even if qr=0) if (qr(i,k).lt.qsmall) then nr(i,k) = 0. endif enddo k_loop_final_diagnostics ! if (debug_ON) call check_values(qv,T,qc,qr,nr,qitot,qirim,nitot,birim,i,it,.true.,debug_ABORT,800) !.............................................. ! merge ice categories with similar properties ! note: this should be relocated to above, such that the diagnostic ! ice properties are computed after merging multicat: if (nCat.gt.1) then ! multicat: if (.FALSE.) then ! **** TEST do k = kbot,ktop,kdir do iice = nCat,2,-1 ! simility condition (similar mean sizes) if (abs(diag_di(i,k,iice)-diag_di(i,k,iice-1)).le.deltaD_init) then qitot(i,k,iice-1) = qitot(i,k,iice-1) + qitot(i,k,iice) nitot(i,k,iice-1) = nitot(i,k,iice-1) + nitot(i,k,iice) qirim(i,k,iice-1) = qirim(i,k,iice-1) + qirim(i,k,iice) birim(i,k,iice-1) = birim(i,k,iice-1) + birim(i,k,iice) ! zitot(i,k,iice-1) = zitot(i,k,iice-1) + zitot(i,k,iice) qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. ! zitot(i,k,iice) = 0. endif enddo !iice loop enddo !k loop endif multicat !..................................................... 333 continue if (log_predictSsat) then ! recalculate supersaturation from T and qv do k = kbot,ktop,kdir t(i,k) = th(i,k)*(1.e-5*pres(i,k))**(rd*inv_cp) dum = qv_sat(t(i,k),pres(i,k),0) ssat(i,k) = qv(i,k)-dum enddo endif if (debug_ON) then tmparr1(i,:) = th(i,:)*(pres(i,:)*1.e-5)**(rd*inv_cp) call check_values(qv,tmparr1,qc,qr,nr,qitot,qirim,nitot,birim,i,it,.true.,debug_ABORT,900) endif !..................................................... enddo i_loop_main ! Save final microphysics values of theta and qv as old values for next time step ! note: This is not necessary for GEM, which already has these values available ! from the beginning of the model time step (TT_moins and HU_moins) when ! s/r 'p3_wrapper_gem' is called (from s/r 'condensation'). if (trim(model) == 'WRF') then th_old = th qv_old = qv endif !........................................................................................... ! Compute diagnostic hydrometeor types for output as 3D fields and ! for partitioning into corresponding surface precipitation rates. compute_type_diags: if (typeDiags_ON) then if (.not.(present(prt_drzl).and.present(prt_rain).and.present(prt_crys).and. & present(prt_snow).and.present(prt_grpl).and.present(prt_pell).and. & present(prt_hail).and.present(prt_sndp))) then print*,'*** ABORT IN P3_MAIN ***' print*,'* typeDiags_ON = .true. but prt_drzl, etc. are not passed into P3_MAIN' print*,'*************************' stop endif prt_drzl = 0. prt_rain = 0. prt_crys = 0. prt_snow = 0. prt_grpl = 0. prt_pell = 0. prt_hail = 0. prt_sndp = 0. if (freq3DtypeDiag>0. .and. mod(it*dt,freq3DtypeDiag*60.)==0.) then !diagnose hydrometeor types for full columns ktop_typeDiag = ktop else !diagnose hydrometeor types at bottom level only (for specific precip rates) ktop_typeDiag = kbot endif i_loop_typediag: do i = its,ite !-- rain vs. drizzle: k_loop_typdiag_1: do k = kbot,ktop_typeDiag,kdir Q_drizzle(i,k) = 0. Q_rain(i,k) = 0. !note: theese can be broken down further (outside of microphysics) into ! liquid rain (drizzle) vs. freezing rain (drizzle) based on sfc temp. if (qr(i,k)>qsmall .and. nr(i,k)>nsmall) then tmp1 = (qr(i,k)/(pi*rhow*nr(i,k)))**thrd !mean-mass diameter if (tmp1 < thres_raindrop) then Q_drizzle(i,k) = qr(i,k) else Q_rain(i,k) = qr(i,k) endif endif enddo k_loop_typdiag_1 if (Q_drizzle(i,kbot) > 0.) then prt_drzl(i) = prt_liq(i) elseif (Q_rain(i,kbot) > 0.) then prt_rain(i) = prt_liq(i) endif !--- optimized version above above IF block (does not work on all FORTRAN compilers) ! tmp1 = -(Q_drizzle(i,kbot) > 0.) !note: tmp1=1.0 if Q_drizzle>0., else tmp1=0.0 ! tmp2 = -(Q_rain(i,kbot) > 0.) ! prt_drzl(i) = prt_liq(i)*tmp1 !precip rate of drizzle ! prt_rain(i) = prt_liq(i)*tmp2 !precip rate of rain !=== !-- ice-phase: iice_loop_diag: do iice = 1,nCat k_loop_typdiag_2: do k = kbot,ktop_typeDiag,kdir Q_crystals(i,k,iice) = 0. Q_ursnow(i,k,iice) = 0. Q_lrsnow(i,k,iice) = 0. Q_grpl(i,k,iice) = 0. Q_pellets(i,k,iice) = 0. Q_hail(i,k,iice) = 0. if (qitot(i,k,iice)>qsmall) then tmp1 = qirim(i,k,iice)/qitot(i,k,iice) !rime mass fraction if (tmp1<0.1) then !zero or trace rime: if (diag_di(i,k,iice)<150.e-6) then Q_crystals(i,k,iice) = qitot(i,k,iice) else Q_ursnow(i,k,iice) = qitot(i,k,iice) endif elseif (tmp1>=0.1 .and. tmp1<0.25) then !lightly rimed: Q_lrsnow(i,k,iice) = qitot(i,k,iice) elseif (tmp1>=0.25 .and. tmp1<=1.) then !moderate-to-heavily rimed: if (diag_rhoi(i,k,iice)<700.) then Q_grpl(i,k,iice) = qitot(i,k,iice) else if (diag_di(i,k,iice)<1.e-3) then Q_pellets(i,k,iice) = qitot(i,k,iice) else Q_hail(i,k,iice) = qitot(i,k,iice) endif endif else print*, 'STOP -- unrealistic rime fraction: ',tmp1 stop endif endif !qitot>0 enddo k_loop_typdiag_2 !diagnostics for sfc precipitation rates: (liquid-equivalent volume flux, m s-1) ! note: these are summed for all ice categories if (Q_crystals(i,kbot,iice) > 0.) then prt_crys(i) = prt_crys(i) + prt_sol(i) !precip rate of small crystals elseif (Q_ursnow(i,kbot,iice) > 0.) then prt_snow(i) = prt_snow(i) + prt_sol(i) !precip rate of unrimed + lightly rimed snow elseif (Q_lrsnow(i,kbot,iice) > 0.) then prt_snow(i) = prt_snow(i) + prt_sol(i) !precip rate of unrimed + lightly rimed snow elseif (Q_grpl(i,kbot,iice) > 0.) then prt_grpl(i) = prt_grpl(i) + prt_sol(i) !precip rate of graupel elseif (Q_pellets(i,kbot,iice) > 0.) then prt_pell(i) = prt_pell(i) + prt_sol(i) !precip rate of ice pellets elseif (Q_hail(i,kbot,iice) > 0.) then prt_hail(i) = prt_hail(i) + prt_sol(i) !precip rate of hail endif !--- optimized version above above IF block (does not work on all FORTRAN compilers) ! tmp3 = -(Q_crystals(i,kbot,iice) > 0.) ! tmp4 = -(Q_ursnow(i,kbot,iice) > 0.) ! tmp5 = -(Q_lrsnow(i,kbot,iice) > 0.) ! tmp6 = -(Q_grpl(i,kbot,iice) > 0.) ! tmp7 = -(Q_pellets(i,kbot,iice) > 0.) ! tmp8 = -(Q_hail(i,kbot,iice) > 0.) ! prt_crys(i) = prt_crys(i) + prt_sol(i)*tmp3 !precip rate of small crystals ! prt_snow(i) = prt_snow(i) + prt_sol(i)*tmp4 + prt_sol(i)*tmp5 !precip rate of unrimed + lightly rimed snow ! prt_grpl(i) = prt_grpl(i) + prt_sol(i)*tmp6 !precip rate of graupel ! prt_pell(i) = prt_pell(i) + prt_sol(i)*tmp7 !precip rate of ice pellets ! prt_hail(i) = prt_hail(i) + prt_sol(i)*tmp8 !precip rate of hail !=== !precip rate of unmelted total "snow": ! For now, an instananeous solid-to-liquid ratio (tmp1) is assumed and is multiplied ! by the total liquid-equivalent precip rates of snow (small crystals + lightly-rime + ..) ! Later, this can be computed explicitly as the volume flux of unmelted ice. !tmp1 = 10. !assumes 10:1 ratio !tmp1 = 1000./max(1., diag_rhoi(i,kbot,iice)) tmp1 = 1000./max(1., 5.*diag_rhoi(i,kbot,iice)) prt_sndp(i) = prt_sndp(i) + tmp1*(prt_crys(i) + prt_snow(i) + prt_grpl(i)) enddo iice_loop_diag enddo i_loop_typediag !- for output of 3D fields of diagnostic hydrometeor type (for iice = 1) ! if (ktop_typeDiag == ktop) then ! diag_3d(:,:,1) = Q_drizzle(:,:) ! diag_3d(:,:,2) = Q_rain(:,:) ! diag_3d(:,:,3) = Q_crystals(:,:,1) ! diag_3d(:,:,4) = Q_ursnow(:,:,1) ! diag_3d(:,:,5) = Q_lrsnow(:,:,1) ! diag_3d(:,:,6) = Q_grpl(:,:,1) ! diag_3d(:,:,7) = Q_pellets(:,:,1) ! diag_3d(:,:,8) = Q_hail(:,:,1) ! endif != endif compute_type_diags !=== (end of section for diagnostic hydrometeor/precip types) ! end of main microphysics routine !..................................................................................... ! output only ! do i = its,ite ! do k = kbot,ktop,kdir ! !calculate temperature from theta ! t(i,k) = th(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) ! !calculate some time-varying atmospheric variables ! qvs(i,k) = qv_sat(t(i,k),pres(i,k),0) ! if (qc(i,k).gt.1.e-5) then ! write(6,'(a10,2i5,5e15.5)')'after',i,k,qc(i,k),qr(i,k),nc(i,k), & ! qv(i,k)/qvs(i,k),uzpl(i,k) ! end if ! end do ! enddo !i-loop ! !saturation ratio at end of microphysics step: ! do i = its,ite ! do k = kbot,ktop,kdir ! dum1 = th(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) !i.e. t(i,k) ! qvs(i,k) = qv_sat(dumt,pres(i,k),0) ! diag_3d(i,k,2) = qv(i,k)/qvs(i,k) ! enddo ! enddo !i-loop !..................................................................................... return END SUBROUTINE p3_main !==========================================================================================! SUBROUTINE access_lookup_table(dumjj,dumii,dumi,index,dum1,dum4,dum5,proc) implicit none real :: dum1,dum4,dum5,proc,dproc1,dproc2,iproc1,gproc1,tmp1,tmp2 integer :: dumjj,dumii,dumi,index ! get value at current density index ! first interpolate for current rimed fraction index iproc1 = itab(dumjj,dumii,dumi,index)+(dum1-real(dumi))*(itab(dumjj,dumii, & dumi+1,index)-itab(dumjj,dumii,dumi,index)) ! linearly interpolate to get process rates for rimed fraction index + 1 gproc1 = itab(dumjj,dumii+1,dumi,index)+(dum1-real(dumi))*(itab(dumjj,dumii+1, & dumi+1,index)-itab(dumjj,dumii+1,dumi,index)) tmp1 = iproc1+(dum4-real(dumii))*(gproc1-iproc1) ! get value at density index + 1 ! first interpolate for current rimed fraction index iproc1 = itab(dumjj+1,dumii,dumi,index)+(dum1-real(dumi))*(itab(dumjj+1,dumii, & dumi+1,index)-itab(dumjj+1,dumii,dumi,index)) ! linearly interpolate to get process rates for rimed fraction index + 1 gproc1 = itab(dumjj+1,dumii+1,dumi,index)+(dum1-real(dumi))*(itab(dumjj+1, & dumii+1,dumi+1,index)-itab(dumjj+1,dumii+1,dumi,index)) tmp2 = iproc1+(dum4-real(dumii))*(gproc1-iproc1) ! get final process rate proc = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) END SUBROUTINE access_lookup_table !------------------------------------------------------------------------------------------! SUBROUTINE access_lookup_table_coll(dumjj,dumii,dumj,dumi,index,dum1,dum3, & dum4,dum5,proc) implicit none real :: dum1,dum3,dum4,dum5,proc,dproc1,dproc2,iproc1,gproc1,tmp1,tmp2,dproc11, & dproc12,dproc21,dproc22 integer :: dumjj,dumii,dumj,dumi,index ! This subroutine interpolates lookup table values for rain/ice collection processes ! current density index ! current rime fraction index dproc1 = itabcoll(dumjj,dumii,dumi,dumj,index)+(dum1-real(dumi))* & (itabcoll(dumjj,dumii,dumi+1,dumj,index)-itabcoll(dumjj,dumii,dumi, & dumj,index)) dproc2 = itabcoll(dumjj,dumii,dumi,dumj+1,index)+(dum1-real(dumi))* & (itabcoll(dumjj,dumii,dumi+1,dumj+1,index)-itabcoll(dumjj,dumii,dumi, & dumj+1,index)) iproc1 = dproc1+(dum3-real(dumj))*(dproc2-dproc1) ! rime fraction index + 1 dproc1 = itabcoll(dumjj,dumii+1,dumi,dumj,index)+(dum1-real(dumi))* & (itabcoll(dumjj,dumii+1,dumi+1,dumj,index)-itabcoll(dumjj,dumii+1, & dumi,dumj,index)) dproc2 = itabcoll(dumjj,dumii+1,dumi,dumj+1,index)+(dum1-real(dumi))* & (itabcoll(dumjj,dumii+1,dumi+1,dumj+1,index)-itabcoll(dumjj,dumii+1, & dumi,dumj+1,index)) gproc1 = dproc1+(dum3-real(dumj))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(gproc1-iproc1) ! density index + 1 ! current rime fraction index dproc1 = itabcoll(dumjj+1,dumii,dumi,dumj,index)+(dum1-real(dumi))* & (itabcoll(dumjj+1,dumii,dumi+1,dumj,index)-itabcoll(dumjj+1,dumii, & dumi,dumj,index)) dproc2 = itabcoll(dumjj+1,dumii,dumi,dumj+1,index)+(dum1-real(dumi))* & (itabcoll(dumjj+1,dumii,dumi+1,dumj+1,index)-itabcoll(dumjj+1,dumii, & dumi,dumj+1,index)) iproc1 = dproc1+(dum3-real(dumj))*(dproc2-dproc1) ! rime fraction index + 1 dproc1 = itabcoll(dumjj+1,dumii+1,dumi,dumj,index)+(dum1-real(dumi))* & (itabcoll(dumjj+1,dumii+1,dumi+1,dumj,index)-itabcoll(dumjj+1,dumii+1, & dumi,dumj,index)) dproc2 = itabcoll(dumjj+1,dumii+1,dumi,dumj+1,index)+(dum1-real(dumi))* & (itabcoll(dumjj+1,dumii+1,dumi+1,dumj+1,index)-itabcoll(dumjj+1, & dumii+1,dumi,dumj+1,index)) gproc1 = dproc1+(dum3-real(dumj))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(gproc1-iproc1) ! interpolate over density to get final values proc = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) END SUBROUTINE access_lookup_table_coll !------------------------------------------------------------------------------------------! SUBROUTINE access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj,dumi, & index,dum1c,dum4c,dum5c,dum1,dum4,dum5,proc) implicit none real :: dum1,dum4,dum5,dum1c,dum4c,dum5c,proc,dproc1,dproc2,iproc1,iproc2,gproc1, & gproc2,rproc1,rproc2,tmp1,tmp2,dproc11,dproc12 integer :: dumjj,dumii,dumj,dumi,index,dumjjc,dumiic,dumic ! This subroutine interpolates lookup table values for rain/ice collection processes ! current density index collectee category ! current rime fraction index for collectee category ! current density index collector category ! current rime fraction index for collector category if (index.eq.1) then dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumii,dumjj)- & itabcolli1(dumic,dumiic,dumjjc,dumi,dumii,dumjj)) dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumii,dumjj)- & itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumii+1,dumjj)- & itabcolli1(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj)) dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))*& (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumii+1,dumjj)- & itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumii,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc,dumi,dumii,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))*& (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumii,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj+1)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))*& (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc1 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) !....................................................................................................... ! collectee rime fraction + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumii,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumii,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumii+1,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumii,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc2 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) rproc1 = gproc1+(dum4c-real(dumiic))*(gproc2-gproc1) !............................................................................................................ ! collectee density index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumii,dumjj)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj)) dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumii,dumjj)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumii+1,dumjj)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj)) dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumii,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc1 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) !....................................................................................................... ! collectee rime fraction + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumii,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc2 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) rproc2 = gproc1+(dum4c-real(dumiic))*(gproc2-gproc1) !.......................................................................................... ! final process rate interpolation over collectee density proc = rproc1+(dum5c-real(dumjjc))*(rproc2-rproc1) else if (index.eq.2) then dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumii,dumjj)- & itabcolli2(dumic,dumiic,dumjjc,dumi,dumii,dumjj)) dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumii,dumjj)- & itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumii+1,dumjj)- & itabcolli2(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj)) dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumii+1,dumjj)- & itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumii,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc,dumi,dumii,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumii,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj+1)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc1 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) !....................................................................................................... ! collectee rime fraction + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumii,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumii,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumii+1,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumii,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc2 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) rproc1 = gproc1+(dum4c-real(dumiic))*(gproc2-gproc1) !............................................................................................................ ! collectee density index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumii,dumjj)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj)) dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumii,dumjj)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumii+1,dumjj)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj)) dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumii,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc1 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) !....................................................................................................... ! collectee rime fraction + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumii,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc2 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) rproc2 = gproc1+(dum4c-real(dumiic))*(gproc2-gproc1) !.......................................................................................... ! final process rate interpolation over collectee density proc = rproc1+(dum5c-real(dumjjc))*(rproc2-rproc1) endif ! index =1 or 2 END SUBROUTINE access_lookup_table_colli !==========================================================================================! real function polysvp1(T,i_type) !------------------------------------------- ! COMPUTE SATURATION VAPOR PRESSURE ! POLYSVP1 RETURNED IN UNITS OF PA. ! T IS INPUT IN UNITS OF K. ! i_type REFERS TO SATURATION WITH RESPECT TO LIQUID (0) OR ICE (1) !------------------------------------------- implicit none real :: DUM,T integer :: i_type ! REPLACE GOFF-GRATCH WITH FASTER FORMULATION FROM FLATAU ET AL. 1992, TABLE 4 (RIGHT-HAND COLUMN) ! ice real a0i,a1i,a2i,a3i,a4i,a5i,a6i,a7i,a8i data a0i,a1i,a2i,a3i,a4i,a5i,a6i,a7i,a8i /& 6.11147274, 0.503160820, 0.188439774e-1, & 0.420895665e-3, 0.615021634e-5,0.602588177e-7, & 0.385852041e-9, 0.146898966e-11, 0.252751365e-14/ ! liquid real a0,a1,a2,a3,a4,a5,a6,a7,a8 ! V1.7 data a0,a1,a2,a3,a4,a5,a6,a7,a8 /& 6.11239921, 0.443987641, 0.142986287e-1, & 0.264847430e-3, 0.302950461e-5, 0.206739458e-7, & 0.640689451e-10,-0.952447341e-13,-0.976195544e-15/ real dt !------------------------------------------- if (i_type.EQ.1 .and. T.lt.273.15) then ! ICE ! Flatau formulation: dt = max(-80.,t-273.16) polysvp1 = a0i + dt*(a1i+dt*(a2i+dt*(a3i+dt*(a4i+dt*(a5i+dt*(a6i+dt*(a7i+ & a8i*dt))))))) polysvp1 = polysvp1*100. ! Goff-Gratch formulation: ! POLYSVP1 = 10.**(-9.09718*(273.16/T-1.)-3.56654* & ! log10(273.16/T)+0.876793*(1.-T/273.16)+ & ! log10(6.1071))*100. elseif (i_type.EQ.0 .or. T.ge.273.15) then ! LIQUID ! Flatau formulation: dt = max(-80.,t-273.16) polysvp1 = a0 + dt*(a1+dt*(a2+dt*(a3+dt*(a4+dt*(a5+dt*(a6+dt*(a7+a8*dt))))))) polysvp1 = polysvp1*100. ! Goff-Gratch formulation: ! POLYSVP1 = 10.**(-7.90298*(373.16/T-1.)+ & ! 5.02808*log10(373.16/T)- & ! 1.3816E-7*(10**(11.344*(1.-T/373.16))-1.)+ & ! 8.1328E-3*(10**(-3.49149*(373.16/T-1.))-1.)+ & ! log10(1013.246))*100. endif end function polysvp1 !------------------------------------------------------------------------------------------! real function gamma(X) !---------------------------------------------------------------------- ! THIS ROUTINE CALCULATES THE gamma FUNCTION FOR A REAL ARGUMENT X. ! COMPUTATION IS BASED ON AN ALGORITHM OUTLINED IN REFERENCE 1. ! THE PROGRAM USES RATIONAL FUNCTIONS THAT APPROXIMATE THE gamma ! FUNCTION TO AT LEAST 20 SIGNIFICANT DECIMAL DIGITS. COEFFICIENTS ! FOR THE APPROXIMATION OVER THE INTERVAL (1,2) ARE UNPUBLISHED. ! THOSE FOR THE APPROXIMATION FOR X .GE. 12 ARE FROM REFERENCE 2. ! THE ACCURACY ACHIEVED DEPENDS ON THE ARITHMETIC SYSTEM, THE ! COMPILER, THE INTRINSIC FUNCTIONS, AND PROPER SELECTION OF THE ! MACHINE-DEPENDENT CONSTANTS. !---------------------------------------------------------------------- ! ! EXPLANATION OF MACHINE-DEPENDENT CONSTANTS ! ! BETA - RADIX FOR THE FLOATING-POINT REPRESENTATION ! MAXEXP - THE SMALLEST POSITIVE POWER OF BETA THAT OVERFLOWS ! XBIG - THE LARGEST ARGUMENT FOR WHICH gamma(X) IS REPRESENTABLE ! IN THE MACHINE, I.E., THE SOLUTION TO THE EQUATION ! gamma(XBIG) = BETA**MAXEXP ! XINF - THE LARGEST MACHINE REPRESENTABLE FLOATING-POINT NUMBER; ! APPROXIMATELY BETA**MAXEXP ! EPS - THE SMALLEST POSITIVE FLOATING-POINT NUMBER SUCH THAT ! 1.0+EPS .GT. 1.0 ! XMININ - THE SMALLEST POSITIVE FLOATING-POINT NUMBER SUCH THAT ! 1/XMININ IS MACHINE REPRESENTABLE ! ! APPROXIMATE VALUES FOR SOME IMPORTANT MACHINES ARE: ! ! BETA MAXEXP XBIG ! ! CRAY-1 (S.P.) 2 8191 966.961 ! CYBER 180/855 ! UNDER NOS (S.P.) 2 1070 177.803 ! IEEE (IBM/XT, ! SUN, ETC.) (S.P.) 2 128 35.040 ! IEEE (IBM/XT, ! SUN, ETC.) (D.P.) 2 1024 171.624 ! IBM 3033 (D.P.) 16 63 57.574 ! VAX D-FORMAT (D.P.) 2 127 34.844 ! VAX G-FORMAT (D.P.) 2 1023 171.489 ! ! XINF EPS XMININ ! ! CRAY-1 (S.P.) 5.45E+2465 7.11E-15 1.84E-2466 ! CYBER 180/855 ! UNDER NOS (S.P.) 1.26E+322 3.55E-15 3.14E-294 ! IEEE (IBM/XT, ! SUN, ETC.) (S.P.) 3.40E+38 1.19E-7 1.18E-38 ! IEEE (IBM/XT, ! SUN, ETC.) (D.P.) 1.79D+308 2.22D-16 2.23D-308 ! IBM 3033 (D.P.) 7.23D+75 2.22D-16 1.39D-76 ! VAX D-FORMAT (D.P.) 1.70D+38 1.39D-17 5.88D-39 ! VAX G-FORMAT (D.P.) 8.98D+307 1.11D-16 1.12D-308 ! !---------------------------------------------------------------------- ! ! ERROR RETURNS ! ! THE PROGRAM RETURNS THE VALUE XINF FOR SINGULARITIES OR ! WHEN OVERFLOW WOULD OCCUR. THE COMPUTATION IS BELIEVED ! TO BE FREE OF UNDERFLOW AND OVERFLOW. ! ! ! INTRINSIC FUNCTIONS REQUIRED ARE: ! ! INT, DBLE, EXP, log, REAL, SIN ! ! ! REFERENCES: AN OVERVIEW OF SOFTWARE DEVELOPMENT FOR SPECIAL ! FUNCTIONS W. J. CODY, LECTURE NOTES IN MATHEMATICS, ! 506, NUMERICAL ANALYSIS DUNDEE, 1975, G. A. WATSON ! (ED.), SPRINGER VERLAG, BERLIN, 1976. ! ! COMPUTER APPROXIMATIONS, HART, ET. AL., WILEY AND ! SONS, NEW YORK, 1968. ! ! LATEST MODIFICATION: OCTOBER 12, 1989 ! ! AUTHORS: W. J. CODY AND L. STOLTZ ! APPLIED MATHEMATICS DIVISION ! ARGONNE NATIONAL LABORATORY ! ARGONNE, IL 60439 ! !---------------------------------------------------------------------- implicit none integer :: I,N logical :: l_parity real :: & CONV,EPS,FACT,HALF,ONE,res,sum,TWELVE, & TWO,X,XBIG,XDEN,XINF,XMININ,XNUM,Y,Y1,YSQ,Z,ZERO real, dimension(7) :: C real, dimension(8) :: P real, dimension(8) :: Q real, parameter :: constant1 = 0.9189385332046727417803297 !---------------------------------------------------------------------- ! MATHEMATICAL CONSTANTS !---------------------------------------------------------------------- data ONE,HALF,TWELVE,TWO,ZERO/1.0E0,0.5E0,12.0E0,2.0E0,0.0E0/ !---------------------------------------------------------------------- ! MACHINE DEPENDENT PARAMETERS !---------------------------------------------------------------------- data XBIG,XMININ,EPS/35.040E0,1.18E-38,1.19E-7/,XINF/3.4E38/ !---------------------------------------------------------------------- ! NUMERATOR AND DENOMINATOR COEFFICIENTS FOR RATIONAL MINIMAX ! APPROXIMATION OVER (1,2). !---------------------------------------------------------------------- data P/-1.71618513886549492533811E+0,2.47656508055759199108314E+1, & -3.79804256470945635097577E+2,6.29331155312818442661052E+2, & 8.66966202790413211295064E+2,-3.14512729688483675254357E+4, & -3.61444134186911729807069E+4,6.64561438202405440627855E+4/ data Q/-3.08402300119738975254353E+1,3.15350626979604161529144E+2, & -1.01515636749021914166146E+3,-3.10777167157231109440444E+3, & 2.25381184209801510330112E+4,4.75584627752788110767815E+3, & -1.34659959864969306392456E+5,-1.15132259675553483497211E+5/ !---------------------------------------------------------------------- ! COEFFICIENTS FOR MINIMAX APPROXIMATION OVER (12, INF). !---------------------------------------------------------------------- data C/-1.910444077728E-03,8.4171387781295E-04, & -5.952379913043012E-04,7.93650793500350248E-04, & -2.777777777777681622553E-03,8.333333333333333331554247E-02, & 5.7083835261E-03/ !---------------------------------------------------------------------- ! STATEMENT FUNCTIONS FOR CONVERSION BETWEEN INTEGER AND FLOAT !---------------------------------------------------------------------- CONV(I) = REAL(I) l_parity=.FALSE. FACT=ONE N=0 Y=X if (Y.LE.ZERO) then !---------------------------------------------------------------------- ! ARGUMENT IS NEGATIVE !---------------------------------------------------------------------- Y=-X Y1=AINT(Y) res=Y-Y1 if (res.NE.ZERO) then if(Y1.NE.AINT(Y1*HALF)*TWO)l_parity=.TRUE. FACT=-PI/SIN(PI*res) Y=Y+ONE else res=XINF goto 900 endif endif !---------------------------------------------------------------------- ! ARGUMENT IS POSITIVE !---------------------------------------------------------------------- if (Y.LT.EPS) then !---------------------------------------------------------------------- ! ARGUMENT .LT. EPS !---------------------------------------------------------------------- if (Y.GE.XMININ) then res=ONE/Y else res=XINF goto 900 endif elseif (Y.LT.TWELVE) then Y1=Y if (Y.LT.ONE) then !---------------------------------------------------------------------- ! 0.0 .LT. ARGUMENT .LT. 1.0 !---------------------------------------------------------------------- Z=Y Y=Y+ONE else !---------------------------------------------------------------------- ! 1.0 .LT. ARGUMENT .LT. 12.0, REDUCE ARGUMENT IF NECESSARY !---------------------------------------------------------------------- N=INT(Y)-1 Y=Y-CONV(N) Z=Y-ONE endif !---------------------------------------------------------------------- ! EVALUATE APPROXIMATION FOR 1.0 .LT. ARGUMENT .LT. 2.0 !---------------------------------------------------------------------- XNUM=ZERO XDEN=ONE do I=1,8 XNUM=(XNUM+P(I))*Z XDEN=XDEN*Z+Q(I) enddo res=XNUM/XDEN+ONE if (Y1.LT.Y) then !---------------------------------------------------------------------- ! ADJUST RESULT FOR CASE 0.0 .LT. ARGUMENT .LT. 1.0 !---------------------------------------------------------------------- res=res/Y1 elseif (Y1.GT.Y) then !---------------------------------------------------------------------- ! ADJUST RESULT FOR CASE 2.0 .LT. ARGUMENT .LT. 12.0 !---------------------------------------------------------------------- do I=1,N res=res*Y Y=Y+ONE enddo endif else !---------------------------------------------------------------------- ! EVALUATE FOR ARGUMENT .GE. 12.0, !---------------------------------------------------------------------- if (Y.LE.XBIG) then YSQ=Y*Y sum=C(7) do I=1,6 sum=sum/YSQ+C(I) enddo sum=sum/Y-Y+constant1 sum=sum+(Y-HALF)*log(Y) res=exp(sum) else res=XINF goto 900 endif endif !---------------------------------------------------------------------- ! FINAL ADJUSTMENTS AND RETURN !---------------------------------------------------------------------- if (l_parity)res=-res if (FACT.NE.ONE)res=FACT/res 900 gamma=res return ! ---------- LAST LINE OF gamma ---------- end function gamma !------------------------------------------------------------------------------------------! real function DERF(X) implicit none real :: X real, dimension(0 : 64) :: A, B real :: W,T,Y integer :: K,I data A/ & 0.00000000005958930743E0, -0.00000000113739022964E0, & 0.00000001466005199839E0, -0.00000016350354461960E0, & 0.00000164610044809620E0, -0.00001492559551950604E0, & 0.00012055331122299265E0, -0.00085483269811296660E0, & 0.00522397762482322257E0, -0.02686617064507733420E0, & 0.11283791670954881569E0, -0.37612638903183748117E0, & 1.12837916709551257377E0, & 0.00000000002372510631E0, -0.00000000045493253732E0, & 0.00000000590362766598E0, -0.00000006642090827576E0, & 0.00000067595634268133E0, -0.00000621188515924000E0, & 0.00005103883009709690E0, -0.00037015410692956173E0, & 0.00233307631218880978E0, -0.01254988477182192210E0, & 0.05657061146827041994E0, -0.21379664776456006580E0, & 0.84270079294971486929E0, & 0.00000000000949905026E0, -0.00000000018310229805E0, & 0.00000000239463074000E0, -0.00000002721444369609E0, & 0.00000028045522331686E0, -0.00000261830022482897E0, & 0.00002195455056768781E0, -0.00016358986921372656E0, & 0.00107052153564110318E0, -0.00608284718113590151E0, & 0.02986978465246258244E0, -0.13055593046562267625E0, & 0.67493323603965504676E0, & 0.00000000000382722073E0, -0.00000000007421598602E0, & 0.00000000097930574080E0, -0.00000001126008898854E0, & 0.00000011775134830784E0, -0.00000111992758382650E0, & 0.00000962023443095201E0, -0.00007404402135070773E0, & 0.00050689993654144881E0, -0.00307553051439272889E0, & 0.01668977892553165586E0, -0.08548534594781312114E0, & 0.56909076642393639985E0, & 0.00000000000155296588E0, -0.00000000003032205868E0, & 0.00000000040424830707E0, -0.00000000471135111493E0, & 0.00000005011915876293E0, -0.00000048722516178974E0, & 0.00000430683284629395E0, -0.00003445026145385764E0, & 0.00024879276133931664E0, -0.00162940941748079288E0, & 0.00988786373932350462E0, -0.05962426839442303805E0, & 0.49766113250947636708E0 / data (B(I), I = 0, 12) / & -0.00000000029734388465E0, 0.00000000269776334046E0, & -0.00000000640788827665E0, -0.00000001667820132100E0, & -0.00000021854388148686E0, 0.00000266246030457984E0, & 0.00001612722157047886E0, -0.00025616361025506629E0, & 0.00015380842432375365E0, 0.00815533022524927908E0, & -0.01402283663896319337E0, -0.19746892495383021487E0, & 0.71511720328842845913E0 / data (B(I), I = 13, 25) / & -0.00000000001951073787E0, -0.00000000032302692214E0, & 0.00000000522461866919E0, 0.00000000342940918551E0, & -0.00000035772874310272E0, 0.00000019999935792654E0, & 0.00002687044575042908E0, -0.00011843240273775776E0, & -0.00080991728956032271E0, 0.00661062970502241174E0, & 0.00909530922354827295E0, -0.20160072778491013140E0, & 0.51169696718727644908E0 / data (B(I), I = 26, 38) / & 0.00000000003147682272E0, -0.00000000048465972408E0, & 0.00000000063675740242E0, 0.00000003377623323271E0, & -0.00000015451139637086E0, -0.00000203340624738438E0, & 0.00001947204525295057E0, 0.00002854147231653228E0, & -0.00101565063152200272E0, 0.00271187003520095655E0, & 0.02328095035422810727E0, -0.16725021123116877197E0, & 0.32490054966649436974E0 / data (B(I), I = 39, 51) / & 0.00000000002319363370E0, -0.00000000006303206648E0, & -0.00000000264888267434E0, 0.00000002050708040581E0, & 0.00000011371857327578E0, -0.00000211211337219663E0, & 0.00000368797328322935E0, 0.00009823686253424796E0, & -0.00065860243990455368E0, -0.00075285814895230877E0, & 0.02585434424202960464E0, -0.11637092784486193258E0, & 0.18267336775296612024E0 / data (B(I), I = 52, 64) / & -0.00000000000367789363E0, 0.00000000020876046746E0, & -0.00000000193319027226E0, -0.00000000435953392472E0, & 0.00000018006992266137E0, -0.00000078441223763969E0, & -0.00000675407647949153E0, 0.00008428418334440096E0, & -0.00017604388937031815E0, -0.00239729611435071610E0, & 0.02064129023876022970E0, -0.06905562880005864105E0, & 0.09084526782065478489E0 / W = ABS(X) if (W .LT. 2.2D0) then T = W * W K = INT(T) T = T - K K = K * 13 Y = ((((((((((((A(K) * T + A(K + 1)) * T + & A(K + 2)) * T + A(K + 3)) * T + A(K + 4)) * T + & A(K + 5)) * T + A(K + 6)) * T + A(K + 7)) * T + & A(K + 8)) * T + A(K + 9)) * T + A(K + 10)) * T + & A(K + 11)) * T + A(K + 12)) * W elseif (W .LT. 6.9D0) then K = INT(W) T = W - K K = 13 * (K - 2) Y = (((((((((((B(K) * T + B(K + 1)) * T + & B(K + 2)) * T + B(K + 3)) * T + B(K + 4)) * T + & B(K + 5)) * T + B(K + 6)) * T + B(K + 7)) * T + & B(K + 8)) * T + B(K + 9)) * T + B(K + 10)) * T + & B(K + 11)) * T + B(K + 12) Y = Y * Y Y = Y * Y Y = Y * Y Y = 1 - Y * Y else Y = 1 endif if (X .LT. 0) Y = -Y DERF = Y end function DERF !------------------------------------------------------------------------------------------! logical function isnan(arg1) real,intent(in) :: arg1 isnan=( arg1 .ne. arg1 ) return end function isnan !------------------------------------------------------------------------------------------! !==========================================================================================! subroutine icecat_destination(Qi,Di,D_nuc,deltaD_init,iice_dest) !--------------------------------------------------------------------------------------! ! Returns the index of the destination ice category into which new ice is nucleated. ! ! New ice will be nucleated into the category in which the existing ice is ! closest in size to the ice being nucleated. The exception is that if the ! size difference between the nucleated ice and existing ice exceeds a threshold ! value for all categories, then ice is initiated into a new category. ! ! D_nuc = mean diameter of new particles being added to a category ! D(i) = mean diameter of particles in category i ! diff(i) = |D(i) - D_nuc| ! deltaD_init = threshold size difference to consider a new (empty) category ! mindiff = minimum of all diff(i) (for non-empty categories) ! ! POSSIBLE CASES DESTINATION CATEGORY !--------------- -------------------- ! case 1: all empty category 1 ! case 2: all full category with smallest diff ! case 3: partly full ! case 3a: mindiff < diff_thrs category with smallest diff ! case 3b: mindiff >= diff_thrs first empty category !--------------------------------------------------------------------------------------! implicit none ! arguments: real, intent(in), dimension(:) :: Qi,Di real, intent(in) :: D_nuc,deltaD_init integer, intent(out) :: iice_dest ! local variables: logical :: all_full,all_empty integer :: i_firstEmptyCategory,iice,i_mindiff,n_cat real :: mindiff,diff real, parameter :: qsmall_loc = 1.e-14 !--------------------------------------------------------------------------------------! n_cat = size(Qi) iice_dest = -99 !-- test: ! iice_dest = 1 ! return !== if (sum(Qi(:))nsmall or Q>qsmall.and.NT_low .and. T(i,k)=0. .and. Qv(i,k)= x_low .and. Qc(i,k) < Q_high .and. & ! ! Nc(i,k) >= x_low .and. QN(i,k) < Q_high .and. & ! (for prog Nc) ! Qr(i,k) >= x_low .and. Qr(i,k) < Q_high .and. & ! Nr(i,k) >= x_lOw .and. Nr(i,k) < N_high)) then ! write(6,'(a48,4i5,4e15.6)') '** WARNING IN P3_MAIN -- src,i,k,step,Qc,Qr,Nr: ', & ! source_ind,i,k,timestepcount,Qc(i,k),Qr(i,k),Nr(i,k) ! badvalue_found = .true. ! endif ! do iice = 1,ncat !-- for strict testing: ! if (.not.(Qitot(i,k,iice) >= x_low .and. Qitot(i,k,iice) < Q_high .and. & ! Qirim(i,k,iice) >= x_low .and. Qirim(i,k,iice) < Q_high .and. & ! Nitot(i,k,iice) >= x_low .and. Nitot(i,k,iice) < N_high .and. & ! Birim(i,k,iice) >= x_low .and. Birim(i,k,iice) < B_high)) then !-- for "relaxed" testing (specifically, to avoid trapping understandable Qi-Ni values after microphysics source/sink section: ! if (.not.(Qitot(i,k,iice) >= x_low .and. Qitot(i,k,iice) < Q_high .and. & ! Qirim(i,k,iice) >= x_low .and. Qirim(i,k,iice) < Q_high .and. & ! Nitot(i,k,iice) >= x_low .and. Nitot(i,k,iice) < N_high .and. & ! Birim(i,k,iice) >= x_low .and. Birim(i,k,iice) < B_high) .and. & ! .not.(Qitot(i,k,iice)<1.e-4 .and. Nitot(i,k,iice)<0.) ) then ! !== ! write(6,'(a68,5i5,4e15.6)') '** WARNING IN P3_MAIN -- src,i,k,step,iice,Qitot,Qirim,Nitot,Birim: ', & ! source_ind,i,k,timestepcount,iice,Qitot(i,k,iice),Qirim(i,k,iice),Nitot(i,k,iice),Birim(i,k,iice) ! badvalue_found = .true. ! endif ! enddo ! if (badvalue_found) trap = .true. ! check consistency amongst moments ! ! ! if (check_consistency) then ! ! if (.false.) then ! ! !-- future; prog Nc ! ! ! if ((Qc(i,k)>qsmall.and.Nc(i,k)nsmall)) then ! ! ! print*,'** WARNING IN MICRO **' ! ! ! print*, '** src,i,k,Qc,Nc: ',source_ind,i,k,Qc(i,k),Nc(i,k) ! ! ! trap = .true. ! ! ! endif ! ! !== ! ! if ((Qr(i,k)>qsmall.and.Nr(i,k)nsmall)) then ! ! print*,'** WARNING IN P3_MAIN **' ! ! print*, '** src,i,k,Qr,Nr: ',source_ind,i,k,Qr(i,k),Nr(i,k) ! ! trap = .true. ! ! endif ! ! do iice = 1,ncat ! ! if ( (Qitot(i,k,iice)>qsmall.and.Nitot(i,k,iice)nsmall)) then ! ! print*,'** WARNING IN P3_MAIN **' ! ! print*, '** src,i,k,iice,Qitot,Nitot: ',source_ind,i,k,iice, & ! ! Qitot(i,k,iice),Nitot(i,k,iice) ! ! trap = .true. ! ! endif ! ! if ( (Qirim(i,k,iice)>qsmall.and.Birim(i,k,iice)bsmall)) then ! ! print*, '** src,i,k,iice,Qirim,Birim: ',source_ind,i,k,iice, & ! ! Qirim(i,k,iice),Birim(i,k,iice) ! ! trap = .true. ! ! endif ! ! enddo ! ! endif !if (check_consistency) enddo k_loop if (trap .and. force_abort) then print* print*,'** DEBUG TRAP IN P3_MAIN, s/r CHECK_VALUES -- source: ',source_ind print* if (source_ind/=100) stop endif end subroutine check_values !=========================================================================================== END MODULE MODULE_MP_P3