#define MODAL_AERO
#define WRF_PORT
! module_cam_mam_newnuc.F
! adapted from cam3 modal_aero_newnuc.F90 by r.c.easter, august 2010
! Updated to CESM1.0.3 (CAM5.1.01) by Balwinder.Singh@pnnl.gov
!
! 2010-08-04 rce notes
! > change pcnstxx to a subr argument because gas_pcnst is
! not a constant/parameter in wrf-chem
!--------------------------------------------------------------
#include "MODAL_AERO_CPP_DEFINES.h"
! modal_aero_newnuc.F90
!----------------------------------------------------------------------
!BOP
!
! !MODULE: modal_aero_newnuc --- modal aerosol new-particle nucleation
!
! !INTERFACE:
module modal_aero_newnuc
#if (defined MODAL_AERO)
! !USES:
use shr_kind_mod, only: r8 => shr_kind_r8
use shr_kind_mod, only: r4 => shr_kind_r4
#ifndef WRF_PORT
use mo_constants, only: pi
use chem_mods, only: gas_pcnst
#else
use physconst, only: pi
use module_cam_support, only: gas_pcnst => gas_pcnst_modal_aero
#endif
implicit none
private
save
! !PUBLIC MEMBER FUNCTIONS:
public modal_aero_newnuc_sub, modal_aero_newnuc_init
! !PUBLIC DATA MEMBERS:
#ifndef WRF_PORT
integer, parameter :: pcnstxx = gas_pcnst
#endif
integer :: l_h2so4_sv, l_nh3_sv, lnumait_sv, lnh4ait_sv, lso4ait_sv
! min h2so4 vapor for nuc calcs = 4.0e-16 mol/mol-air ~= 1.0e4 molecules/cm3,
real(r8), parameter :: qh2so4_cutoff = 4.0e-16_r8
! !DESCRIPTION: This module implements ...
!
! !REVISION HISTORY:
!
! R.Easter 2007.09.14: Adapted from MIRAGE2 code
!
!EOP
!----------------------------------------------------------------------
!BOC
! list private module data here
!EOC
!----------------------------------------------------------------------
contains
!----------------------------------------------------------------------
!----------------------------------------------------------------------
!BOP
! !ROUTINE: modal_aero_newnuc_sub --- ...
!
! !INTERFACE:
subroutine modal_aero_newnuc_sub( &
lchnk, ncol, nstep, &
loffset, deltat, &
latndx, lonndx, &
t, pmid, pdel, &
zm, pblh, &
qv, cld, &
q, &
del_h2so4_gasprod, del_h2so4_aeruptk &
#ifdef WRF_PORT
, pcnstxx &
#endif
)
! !USES:
use modal_aero_data
#ifndef WRF_PORT
use abortutils, only: endrun
use cam_history, only: outfld, fieldname_len
use chem_mods, only: adv_mass
use constituents, only: pcnst, cnst_name
#endif
use physconst, only: gravit, mwdry, r_universal
#ifndef WRF_PORT
use ppgrid, only: pcols, pver
use spmd_utils, only: iam, masterproc
#else
use module_cam_support, only: pcnst => pcnst_runtime, &
pcols, pver, &
fieldname_len, &
endrun, iam, masterproc, outfld
use constituents, only: cnst_name
use module_data_cam_mam_asect, only: adv_mass => mw_q_mo_array
#endif
use wv_saturation, only: aqsat
implicit none
! !PARAMETERS:
#ifdef WRF_PORT
integer, intent(in) :: pcnstxx ! number of species in "incoming q array"
#endif
integer, intent(in) :: lchnk ! chunk identifier
integer, intent(in) :: ncol ! number of columns in chunk
integer, intent(in) :: nstep ! model step
integer, intent(in) :: latndx(pcols), lonndx(pcols)
integer, intent(in) :: loffset ! offset applied to modal aero "pointers"
real(r8), intent(in) :: deltat ! model timestep (s)
real(r8), intent(in) :: t(pcols,pver) ! temperature (K)
real(r8), intent(in) :: pmid(pcols,pver) ! pressure at model levels (Pa)
real(r8), intent(in) :: pdel(pcols,pver) ! pressure thickness of levels (Pa)
real(r8), intent(in) :: zm(pcols,pver) ! midpoint height above surface (m)
real(r8), intent(in) :: pblh(pcols) ! pbl height (m)
real(r8), intent(in) :: qv(pcols,pver) ! specific humidity (kg/kg)
real(r8), intent(in) :: cld(ncol,pver) ! stratiform cloud fraction
! *** NOTE ncol dimension
real(r8), intent(inout) :: q(ncol,pver,pcnstxx)
! tracer mixing ratio (TMR) array
! *** MUST BE mol/mol-air or #/mol-air
! *** NOTE ncol & pcnstxx dimensions
real(r8), intent(in) :: del_h2so4_gasprod(ncol,pver)
! h2so4 gas-phase production
! change over deltat (mol/mol)
real(r8), intent(in) :: del_h2so4_aeruptk(ncol,pver)
! h2so4 gas-phase loss to
! aerosol over deltat (mol/mol)
! !DESCRIPTION:
! computes changes due to aerosol nucleation (new particle formation)
! treats both nucleation and subsequent growth of new particles
! to aitken mode size
! uses the following parameterizations
! vehkamaki et al. (2002) parameterization for binary
! homogeneous nucleation (h2so4-h2o) plus
! kerminen and kulmala (2002) parameterization for
! new particle loss during growth to aitken size
!
! !REVISION HISTORY:
! R.Easter 2007.09.14: Adapted from MIRAGE2 code and CMAQ V4.6 code
!
!EOP
!----------------------------------------------------------------------
!BOC
! local variables
integer :: i, itmp, k, l, lmz, lun, m, mait
integer :: lnumait, lso4ait, lnh4ait
integer :: l_h2so4, l_nh3
integer :: ldiagveh02
integer, parameter :: ldiag1=-1, ldiag2=-1, ldiag3=-1, ldiag4=-1
integer, parameter :: newnuc_method_flagaa = 11
! integer, parameter :: newnuc_method_flagaa = 12
! 1=merikanto et al (2007) ternary 2=vehkamaki et al (2002) binary
! 11=merikanto ternary + first-order boundary layer
! 12=merikanto ternary + second-order boundary layer
real(r8) :: adjust_factor
real(r8) :: aircon
real(r8) :: cldx
real(r8) :: dens_nh4so4a
real(r8) :: dmdt_ait, dmdt_aitsv1, dmdt_aitsv2, dmdt_aitsv3
real(r8) :: dndt_ait, dndt_aitsv1, dndt_aitsv2, dndt_aitsv3
real(r8) :: dnh4dt_ait, dso4dt_ait
real(r8) :: dpnuc
real(r8) :: dplom_mode(1), dphim_mode(1)
real(r8) :: ev_sat(pcols,pver)
real(r8) :: mass1p
real(r8) :: mass1p_aithi, mass1p_aitlo
real(r8) :: mw_so4a_host
real(r8) :: pdel_fac
real(r8) :: qh2so4_cur, qh2so4_avg, qh2so4_del
real(r8) :: qnh3_cur, qnh3_del, qnh4a_del
real(r8) :: qnuma_del
real(r8) :: qso4a_del
real(r8) :: qv_sat(pcols,pver)
real(r8) :: qvswtr
real(r8) :: relhum, relhumav, relhumnn
real(r8) :: tmpa, tmpb, tmpc
real(r8) :: tmp_q1, tmp_q2, tmp_q3
real(r8) :: tmp_frso4, tmp_uptkrate
integer, parameter :: nsrflx = 1 ! last dimension of qsrflx
real(r8) :: qsrflx(pcols,pcnst,nsrflx)
! process-specific column tracer tendencies
! 1 = nucleation (for aerocom)
real(r8) :: dqdt(ncol,pver,pcnstxx) ! TMR tendency array -- NOTE dims
logical :: dotend(pcnst) ! flag for doing tendency
logical :: do_nh3 ! flag for doing nh3/nh4
character(len=1) :: tmpch1, tmpch2, tmpch3
character(len=fieldname_len+3) :: fieldname
! begin
lun = 6
!--------------------------------------------------------------------------------
if (ldiag1 > 0) then
do i = 1, ncol
if (lonndx(i) /= 37) cycle
if (latndx(i) /= 23) cycle
if (nstep > 3) cycle
write( lun, '(/a,i7,3i5,f10.2)' ) &
'*** modal_aero_newnuc_sub -- nstep, iam, lat, lon =', &
nstep, iam, latndx(i), lonndx(i)
end do
if (nstep > 3) call endrun( '*** modal_aero_newnuc_sub -- testing halt after step 3' )
! if (ncol /= -999888777) return
end if
!--------------------------------------------------------------------------------
!-----------------------------------------------------------------------
l_h2so4 = l_h2so4_sv - loffset
l_nh3 = l_nh3_sv - loffset
lnumait = lnumait_sv - loffset
lnh4ait = lnh4ait_sv - loffset
lso4ait = lso4ait_sv - loffset
! skip if no aitken mode OR if no h2so4 species
if ((l_h2so4 <= 0) .or. (lso4ait <= 0) .or. (lnumait <= 0)) return
dotend(:) = .false.
dqdt(1:ncol,:,:) = 0.0
qsrflx(1:ncol,:,:) = 0.0
! set dotend
mait = modeptr_aitken
dotend(lnumait) = .true.
dotend(lso4ait) = .true.
dotend(l_h2so4) = .true.
lnh4ait = lptr_nh4_a_amode(mait) - loffset
if ((l_nh3 > 0) .and. (l_nh3 <= pcnst) .and. &
(lnh4ait > 0) .and. (lnh4ait <= pcnst)) then
do_nh3 = .true.
dotend(lnh4ait) = .true.
dotend(l_nh3) = .true.
else
do_nh3 = .false.
end if
! dry-diameter limits for "grown" new particles
dplom_mode(1) = exp( 0.67*log(dgnumlo_amode(mait)) &
+ 0.33*log(dgnum_amode(mait)) )
dphim_mode(1) = dgnumhi_amode(mait)
! mass1p_... = mass (kg) of so4 & nh4 in a single particle of diameter ...
! (assuming same dry density for so4 & nh4)
! mass1p_aitlo - dp = dplom_mode(1)
! mass1p_aithi - dp = dphim_mode(1)
tmpa = specdens_so4_amode*pi/6.0
mass1p_aitlo = tmpa*(dplom_mode(1)**3)
mass1p_aithi = tmpa*(dphim_mode(1)**3)
! compute qv_sat = saturation specific humidity
call aqsat( t, pmid, ev_sat, qv_sat, pcols, ncol, pver, 1, pver )
! mw_so4a_host is molec-wght of sulfate aerosol in host code
! 96 when nh3/nh4 are simulated
! something else when nh3/nh4 are not simulated
mw_so4a_host = specmw_so4_amode
!
! loop over levels and columns to calc the renaming
!
main_k: do k = 1, pver
main_i: do i = 1, ncol
! skip if completely cloudy,
! because all h2so4 vapor should be cloud-borne
if (cld(i,k) >= 0.99) cycle main_i
! qh2so4_cur = current qh2so4, after aeruptk
qh2so4_cur = q(i,k,l_h2so4)
! skip if h2so4 vapor < qh2so4_cutoff
if (qh2so4_cur <= qh2so4_cutoff) cycle main_i
tmpa = max( 0.0_r8, del_h2so4_gasprod(i,k) )
tmp_q3 = qh2so4_cur
! tmp_q2 = qh2so4 before aeruptk
! (note tmp_q3, tmp_q2 both >= 0.0)
tmp_q2 = tmp_q3 + max( 0.0_r8, -del_h2so4_aeruptk(i,k) )
! *** temporary -- in order to get more nucleation
! qh2so4_cur = qh2so4_cur*1.0e1
! tmp_q3 = tmp_q3*1.0e1
! tmp_q2 = tmp_q2*1.0e1
! tmpa = tmpa *1.0e1
! tmpb = log( tmp_q2/tmp_q3 ) BUT with some checks added
! tmp_uptkrate = tmpb/deltat
if (tmp_q2 <= tmp_q3) then
tmpb = 0.0
else
tmpc = tmp_q2 * exp( -20.0_r8 )
if (tmp_q3 <= tmpc) then
tmp_q3 = tmpc
tmpb = 20.0_r8
else
tmpb = log( tmp_q2/tmp_q3 )
end if
end if
! d[ln(qh2so4)]/dt (1/s) from uptake (condensation) to aerosol
tmp_uptkrate = tmpb/deltat
! qh2so4_avg = estimated average qh2so4
! when production & loss are done simultaneously
if (tmpb <= 0.1_r8) then
qh2so4_avg = tmp_q3*(1.0_r8 + 0.5_r8*tmpb) - 0.5_r8*tmpa
else
tmpc = tmpa/tmpb
qh2so4_avg = (tmp_q3 - tmpc)*((exp(tmpb)-1.0_r8)/tmpb) + tmpc
end if
if (qh2so4_avg <= qh2so4_cutoff) cycle main_i
if ( do_nh3 ) then
qnh3_cur = max( 0.0_r8, q(i,k,l_nh3) )
else
qnh3_cur = 0.0_r8
end if
! relhumav = grid average RH
qvswtr = qv_sat(i,k)
qvswtr = max( qvswtr, 1.0d-20 )
relhumav = qv(i,k) / qvswtr
relhumav = max( 0.0_r8, min( 1.0_r8, relhumav ) )
! relhum = non-cloudy area RH
cldx = max( 0.0_r8, cld(i,k) )
relhum = (relhumav - cldx) / (1.0_r8 - cldx)
relhum = max( 0.0_r8, min( 1.0_r8, relhum ) )
! limit RH to between 0.1% and 99%
relhumnn = relhum
relhumnn = max( 0.01_r8, min( 0.99_r8, relhumnn ) )
! aircon = air concentration (mol-air/m3)
aircon = 1.0e3*pmid(i,k)/(r_universal*t(i,k))
! call ... routine to get nucleation rates
ldiagveh02 = -1
if (ldiag2 > 0) then
if ((lonndx(i) == 37) .and. (latndx(i) == 23)) then
if ((k >= 24) .or. (mod(k,4) == 0)) then
ldiagveh02 = +1
write(lun,'(/a,i8,3i4,f8.2,1p,4e10.2)') &
'veh02 call - nstep,lat,lon,k; tk,rh,p,cair', &
nstep, latndx(i), lonndx(i), k, &
t(i,k), relhumnn, pmid(k,k), aircon
end if
end if
end if
call mer07_veh02_nuc_mosaic_1box( &
newnuc_method_flagaa, &
deltat, t(i,k), relhumnn, pmid(i,k), &
zm(i,k), pblh(i), &
qh2so4_cur, qh2so4_avg, qnh3_cur, tmp_uptkrate, &
mw_so4a_host, &
1, 1, dplom_mode, dphim_mode, &
itmp, qnuma_del, qso4a_del, qnh4a_del, &
qh2so4_del, qnh3_del, dens_nh4so4a, ldiagveh02 )
! qh2so4_del, qnh3_del, dens_nh4so4a )
!----------------------------------------------------------------------
! subr mer07_veh02_nuc_mosaic_1box( &
! newnuc_method_flagaa, &
! dtnuc, temp_in, rh_in, press_in, &
! qh2so4_cur, qh2so4_avg, qnh3_cur, h2so4_uptkrate, &
! nsize, maxd_asize, dplom_sect, dphim_sect, &
! isize_nuc, qnuma_del, qso4a_del, qnh4a_del, &
! qh2so4_del, qnh3_del, dens_nh4so4a )
!
!! subr arguments (in)
! real(r8), intent(in) :: dtnuc ! nucleation time step (s)
! real(r8), intent(in) :: temp_in ! temperature, in k
! real(r8), intent(in) :: rh_in ! relative humidity, as fraction
! real(r8), intent(in) :: press_in ! air pressure (pa)
!
! real(r8), intent(in) :: qh2so4_cur, qh2so4_avg
! ! gas h2so4 mixing ratios (mol/mol-air)
! real(r8), intent(in) :: qnh3_cur ! gas nh3 mixing ratios (mol/mol-air)
! ! qxxx_cur = current value (after gas chem and condensation)
! ! qxxx_avg = estimated average value (for simultaneous source/sink calcs)
! real(r8), intent(in) :: h2so4_uptkrate ! h2so4 uptake rate to aerosol (1/s)
!
! integer, intent(in) :: nsize ! number of aerosol size bins
! integer, intent(in) :: maxd_asize ! dimension for dplom_sect, ...
! real(r8), intent(in) :: dplom_sect(maxd_asize) ! dry diameter at lower bnd of bin (m)
! real(r8), intent(in) :: dphim_sect(maxd_asize) ! dry diameter at upper bnd of bin (m)
!
!! subr arguments (out)
! integer, intent(out) :: isize_nuc ! size bin into which new particles go
! real(r8), intent(out) :: qnuma_del ! change to aerosol number mixing ratio (#/mol-air)
! real(r8), intent(out) :: qso4a_del ! change to aerosol so4 mixing ratio (mol/mol-air)
! real(r8), intent(out) :: qnh4a_del ! change to aerosol nh4 mixing ratio (mol/mol-air)
! real(r8), intent(out) :: qh2so4_del ! change to gas h2so4 mixing ratio (mol/mol-air)
! real(r8), intent(out) :: qnh3_del ! change to gas nh3 mixing ratio (mol/mol-air)
! ! aerosol changes are > 0; gas changes are < 0
! real(r8), intent(out) :: dens_nh4so4a ! dry-density of the new nh4-so4 aerosol mass (kg/m3)
!----------------------------------------------------------------------
! convert qnuma_del from (#/mol-air) to (#/kmol-air)
qnuma_del = qnuma_del*1.0e3_r8
! number nuc rate (#/kmol-air/s) from number nuc amt
dndt_ait = qnuma_del/deltat
! fraction of mass nuc going to so4
tmpa = qso4a_del*specmw_so4_amode
tmpb = tmpa + qnh4a_del*specmw_nh4_amode
tmp_frso4 = max( tmpa, 1.0e-35_r8 )/max( tmpb, 1.0e-35_r8 )
! mass nuc rate (kg/kmol-air/s or g/mol...) hhfrom mass nuc amts
dmdt_ait = max( 0.0_r8, (tmpb/deltat) )
dndt_aitsv1 = dndt_ait
dmdt_aitsv1 = dmdt_ait
dndt_aitsv2 = 0.0
dmdt_aitsv2 = 0.0
dndt_aitsv3 = 0.0
dmdt_aitsv3 = 0.0
tmpch1 = ' '
tmpch2 = ' '
if (dndt_ait < 1.0e2) then
! ignore newnuc if number rate < 100 #/kmol-air/s ~= 0.3 #/mg-air/d
dndt_ait = 0.0
dmdt_ait = 0.0
tmpch1 = 'A'
else
dndt_aitsv2 = dndt_ait
dmdt_aitsv2 = dmdt_ait
tmpch1 = 'B'
! mirage2 code checked for complete h2so4 depletion here,
! but this is now done in mer07_veh02_nuc_mosaic_1box
mass1p = dmdt_ait/dndt_ait
dndt_aitsv3 = dndt_ait
dmdt_aitsv3 = dmdt_ait
! apply particle size constraints
if (mass1p < mass1p_aitlo) then
! reduce dndt to increase new particle size
dndt_ait = dmdt_ait/mass1p_aitlo
tmpch1 = 'C'
else if (mass1p > mass1p_aithi) then
! reduce dmdt to decrease new particle size
dmdt_ait = dndt_ait*mass1p_aithi
tmpch1 = 'E'
end if
end if
! *** apply adjustment factor to avoid unrealistically high
! aitken number concentrations in mid and upper troposphere
! adjust_factor = 0.5
! dndt_ait = dndt_ait * adjust_factor
! dmdt_ait = dmdt_ait * adjust_factor
! set tendencies
pdel_fac = pdel(i,k)/gravit
! dso4dt_ait, dnh4dt_ait are (kmol/kmol-air/s)
dso4dt_ait = dmdt_ait*tmp_frso4/specmw_so4_amode
dnh4dt_ait = dmdt_ait*(1.0_r8 - tmp_frso4)/specmw_nh4_amode
dqdt(i,k,l_h2so4) = -dso4dt_ait*(1.0-cldx)
qsrflx(i,l_h2so4,1) = qsrflx(i,l_h2so4,1) + dqdt(i,k,l_h2so4)*pdel_fac
q(i,k,l_h2so4) = q(i,k,l_h2so4) + dqdt(i,k,l_h2so4)*deltat
dqdt(i,k,lso4ait) = dso4dt_ait*(1.0-cldx)
qsrflx(i,lso4ait,1) = qsrflx(i,lso4ait,1) + dqdt(i,k,lso4ait)*pdel_fac
q(i,k,lso4ait) = q(i,k,lso4ait) + dqdt(i,k,lso4ait)*deltat
if (lnumait > 0) then
dqdt(i,k,lnumait) = dndt_ait*(1.0-cldx)
qsrflx(i,lnumait,1) = qsrflx(i,lnumait,1) &
+ dqdt(i,k,lnumait)*pdel_fac
q(i,k,lnumait) = q(i,k,lnumait) + dqdt(i,k,lnumait)*deltat
end if
if (( do_nh3 ) .and. (dnh4dt_ait > 0.0_r8)) then
dqdt(i,k,l_nh3) = -dnh4dt_ait*(1.0-cldx)
qsrflx(i,l_nh3,1) = qsrflx(i,l_nh3,1) + dqdt(i,k,l_nh3)*pdel_fac
q(i,k,l_nh3) = q(i,k,l_nh3) + dqdt(i,k,l_nh3)*deltat
dqdt(i,k,lnh4ait) = dnh4dt_ait*(1.0-cldx)
qsrflx(i,lnh4ait,1) = qsrflx(i,lnh4ait,1) + dqdt(i,k,lnh4ait)*pdel_fac
q(i,k,lnh4ait) = q(i,k,lnh4ait) + dqdt(i,k,lnh4ait)*deltat
end if
!! temporary diagnostic
! if (ldiag3 > 0) then
! if ((dndt_ait /= 0.0_r8) .or. (dmdt_ait /= 0.0_r8)) then
! write(lun,'(3a,1x,i7,3i5,1p,5e12.4)') &
! 'newnucxx', tmpch1, tmpch2, nstep, lchnk, i, k, &
! dndt_ait, dmdt_ait, cldx
!! call endrun( 'modal_aero_newnuc_sub' )
! end if
! end if
! diagnostic output start ----------------------------------------
if (ldiag4 > 0) then
if ((lonndx(i) == 37) .and. (latndx(i) == 23)) then
if ((k >= 24) .or. (mod(k,4) == 0)) then
write(lun,97010) nstep, latndx(i), lonndx(i), k, t(i,k), aircon
write(lun,97020) 'pmid, pdel ', &
pmid(i,k), pdel(i,k)
write(lun,97030) 'qv,qvsw, cld, rh_av, rh_clr ', &
qv(i,k), qvswtr, cldx, relhumav, relhum
write(lun,97020) 'h2so4_cur, _pre, _av, nh3_cur', &
qh2so4_cur, tmp_q2, qh2so4_avg, qnh3_cur
write(lun,97020) 'del_h2so4_gasprod, _aeruptk ', &
del_h2so4_gasprod(i,k), del_h2so4_aeruptk(i,k), &
tmp_uptkrate*3600.0
write(lun,97020) ' '
write(lun,97050) 'tmpch1, tmpch2 ', tmpch1, tmpch2
write(lun,97020) 'dndt_, dmdt_aitsv1 ', &
dndt_aitsv1, dmdt_aitsv1
write(lun,97020) 'dndt_, dmdt_aitsv2 ', &
dndt_aitsv2, dmdt_aitsv2
write(lun,97020) 'dndt_, dmdt_aitsv3 ', &
dndt_aitsv3, dmdt_aitsv3
write(lun,97020) 'dndt_, dmdt_ait ', &
dndt_ait, dmdt_ait
write(lun,97020) 'dso4dt_, dnh4dt_ait ', &
dso4dt_ait, dnh4dt_ait
write(lun,97020) 'qso4a_del, qh2so4_del ', &
qso4a_del, qh2so4_del
write(lun,97020) 'qnh4a_del, qnh3_del ', &
qnh4a_del, qnh3_del
write(lun,97020) 'dqdt(h2so4), (nh3) ', &
dqdt(i,k,l_h2so4), dqdt(i,k,l_nh3)
write(lun,97020) 'dqdt(so4a), (nh4a), (numa) ', &
dqdt(i,k,lso4ait), dqdt(i,k,lnh4ait), dqdt(i,k,lnumait)
dpnuc = 0.0
if (dndt_aitsv1 > 1.0e-5) dpnuc = (6.0*dmdt_aitsv1/ &
(pi*specdens_so4_amode*dndt_aitsv1))**0.3333333
if (dpnuc > 0.0) then
write(lun,97020) 'dpnuc, dp_aitlo, _aithi ', &
dpnuc, dplom_mode(1), dphim_mode(1)
write(lun,97020) 'mass1p, mass1p_aitlo, _aithi ', &
mass1p, mass1p_aitlo, mass1p_aithi
end if
97010 format( / 'NEWNUC nstep,lat,lon,k,tk,cair', i8, 3i4, f8.2, 1pe12.4 )
97020 format( a, 1p, 6e12.4 )
97030 format( a, 1p, 2e12.4, 0p, 5f10.6 )
97040 format( 29x, 1p, 6e12.4 )
97050 format( a, 2(3x,a) )
end if
end if
end if
! diagnostic output end ------------------------------------------
end do main_i
end do main_k
! do history file column-tendency fields
do l = loffset+1, pcnst
lmz = l - loffset
if ( .not. dotend(lmz) ) cycle
do i = 1, ncol
qsrflx(i,lmz,1) = qsrflx(i,lmz,1)*(adv_mass(lmz)/mwdry)
end do
fieldname = trim(cnst_name(l)) // '_sfnnuc1'
call outfld( fieldname, qsrflx(:,lmz,1), pcols, lchnk )
! if (( masterproc ) .and. (nstep < 1)) &
! write(lun,'(2(a,2x),1p,e11.3)') &
! 'modal_aero_newnuc_sub outfld', fieldname, adv_mass(lmz)
end do ! l = ...
return
!EOC
end subroutine modal_aero_newnuc_sub
!----------------------------------------------------------------------
!-----------------------------------------------------------------------
subroutine mer07_veh02_nuc_mosaic_1box( &
newnuc_method_flagaa, dtnuc, temp_in, rh_in, press_in, &
zm_in, pblh_in, &
qh2so4_cur, qh2so4_avg, qnh3_cur, h2so4_uptkrate, &
mw_so4a_host, &
nsize, maxd_asize, dplom_sect, dphim_sect, &
isize_nuc, qnuma_del, qso4a_del, qnh4a_del, &
qh2so4_del, qnh3_del, dens_nh4so4a, ldiagaa )
! qh2so4_del, qnh3_del, dens_nh4so4a )
!.......................................................................
!
! calculates new particle production from homogeneous nucleation
! over timestep dtnuc, using nucleation rates from either
! merikanto et al. (2007) h2so4-nh3-h2o ternary parameterization
! vehkamaki et al. (2002) h2so4-h2o binary parameterization
!
! the new particles are "grown" to the lower-bound size of the host code's
! smallest size bin. (this "growth" is somewhat ad hoc, and would not be
! necessary if the host code's size bins extend down to ~1 nm.)
!
! if the h2so4 and nh3 mass mixing ratios (mixrats) of the grown new
! particles exceed the current gas mixrats, the new particle production
! is reduced so that the new particle mass mixrats match the gas mixrats.
!
! the correction of kerminen and kulmala (2002) is applied to account
! for loss of the new particles by coagulation as they are
! growing to the "host code mininum size"
!
! revision history
! coded by rc easter, pnnl, xx-apr-2007
!
! key routines called: subr ternary_nuc_napari
!
! references:
! merikanto, j., i. napari, h. vehkamaki, t. anttila,
! and m. kulmala, 2007, new parameterization of
! sulfuric acid-ammonia-water ternary nucleation
! rates at tropospheric conditions,
! j. geophys. res., 112, d15207, doi:10.1029/2006jd0027977
!
! vehkamaki, h., m. kulmala, i. napari, k.e.j. lehtinen,
! c. timmreck, m. noppel and a. laaksonen, 2002,
! an improved parameterization for sulfuric acid-water nucleation
! rates for tropospheric and stratospheric conditions,
! j. geophys. res., 107, 4622, doi:10.1029/2002jd002184
!
! kerminen, v., and m. kulmala, 2002,
! analytical formulae connecting the "real" and the "apparent"
! nucleation rate and the nuclei number concentration
! for atmospheric nucleation events
!
!.......................................................................
implicit none
! subr arguments (in)
real(r8), intent(in) :: dtnuc ! nucleation time step (s)
real(r8), intent(in) :: temp_in ! temperature, in k
real(r8), intent(in) :: rh_in ! relative humidity, as fraction
real(r8), intent(in) :: press_in ! air pressure (pa)
real(r8), intent(in) :: zm_in ! layer midpoint height (m)
real(r8), intent(in) :: pblh_in ! pbl height (m)
real(r8), intent(in) :: qh2so4_cur, qh2so4_avg
! gas h2so4 mixing ratios (mol/mol-air)
real(r8), intent(in) :: qnh3_cur ! gas nh3 mixing ratios (mol/mol-air)
! qxxx_cur = current value (after gas chem and condensation)
! qxxx_avg = estimated average value (for simultaneous source/sink calcs)
real(r8), intent(in) :: h2so4_uptkrate ! h2so4 uptake rate to aerosol (1/s)
real(r8), intent(in) :: mw_so4a_host ! mw of so4 aerosol in host code (g/mol)
integer, intent(in) :: newnuc_method_flagaa ! 1=merikanto et al (2007) ternary
! 2=vehkamaki et al (2002) binary
integer, intent(in) :: nsize ! number of aerosol size bins
integer, intent(in) :: maxd_asize ! dimension for dplom_sect, ...
real(r8), intent(in) :: dplom_sect(maxd_asize) ! dry diameter at lower bnd of bin (m)
real(r8), intent(in) :: dphim_sect(maxd_asize) ! dry diameter at upper bnd of bin (m)
integer, intent(in) :: ldiagaa
! subr arguments (out)
integer, intent(out) :: isize_nuc ! size bin into which new particles go
real(r8), intent(out) :: qnuma_del ! change to aerosol number mixing ratio (#/mol-air)
real(r8), intent(out) :: qso4a_del ! change to aerosol so4 mixing ratio (mol/mol-air)
real(r8), intent(out) :: qnh4a_del ! change to aerosol nh4 mixing ratio (mol/mol-air)
real(r8), intent(out) :: qh2so4_del ! change to gas h2so4 mixing ratio (mol/mol-air)
real(r8), intent(out) :: qnh3_del ! change to gas nh3 mixing ratio (mol/mol-air)
! aerosol changes are > 0; gas changes are < 0
real(r8), intent(out) :: dens_nh4so4a ! dry-density of the new nh4-so4 aerosol mass (kg/m3)
! subr arguments (out) passed via common block
! these are used to duplicate the outputs of yang zhang's original test driver
! they are not really needed in wrf-chem
real(r8) :: ratenuclt ! j = ternary nucleation rate from napari param. (cm-3 s-1)
real(r8) :: rateloge ! ln (j)
real(r8) :: cnum_h2so4 ! number of h2so4 molecules in the critical nucleus
real(r8) :: cnum_nh3 ! number of nh3 molecules in the critical nucleus
real(r8) :: cnum_tot ! total number of molecules in the critical nucleus
real(r8) :: radius_cluster ! the radius of cluster (nm)
! local variables
integer :: i
integer :: igrow
integer, save :: icase = 0, icase_reldiffmax = 0
! integer, parameter :: ldiagaa = -1
integer :: lun
integer :: newnuc_method_flagaa2
real(r8), parameter :: onethird = 1.0/3.0
real(r8), parameter :: avogad = 6.022e23 ! avogadro number (molecules/mol)
real(r8), parameter :: mw_air = 28.966 ! dry-air mean molecular weight (g/mol)
real(r8), parameter :: accom_coef_h2so4 = 0.65 ! accomodation coef for h2so4 conden
! dry densities (kg/m3) molecular weights of aerosol
! ammsulf, ammbisulf, and sulfacid (from mosaic dens_electrolyte values)
! real(r8), parameter :: dens_ammsulf = 1.769e3
! real(r8), parameter :: dens_ammbisulf = 1.78e3
! real(r8), parameter :: dens_sulfacid = 1.841e3
! use following to match cam3 modal_aero densities
real(r8), parameter :: dens_ammsulf = 1.770e3
real(r8), parameter :: dens_ammbisulf = 1.770e3
real(r8), parameter :: dens_sulfacid = 1.770e3
real(r8), parameter :: dens_water = 1.0e3
! molecular weights (g/mol) of aerosol ammsulf, ammbisulf, and sulfacid
! for ammbisulf and sulfacid, use 114 & 96 here rather than 115 & 98
! because we don't keep track of aerosol hion mass
real(r8), parameter :: mw_ammsulf = 132.0
real(r8), parameter :: mw_ammbisulf = 114.0
real(r8), parameter :: mw_sulfacid = 96.0
! molecular weights of aerosol sulfate and ammonium
real(r8), parameter :: mw_so4a = 96.0
real(r8), parameter :: mw_nh4a = 18.0
real(r8), parameter :: mw_water = 18.0
real(r8), save :: reldiffmax = 0.0
real(r8) cair ! dry-air molar density (mol/m3)
real(r8) cs_prime_kk ! kk2002 "cs_prime" parameter (1/m2)
real(r8) cs_kk ! kk2002 "cs" parameter (1/s)
real(r8) dens_part ! "grown" single-particle dry density (kg/m3)
real(r8) dfin_kk, dnuc_kk ! kk2002 final/initial new particle wet diameter (nm)
real(r8) dpdry_clus ! critical cluster diameter (m)
real(r8) dpdry_part ! "grown" single-particle dry diameter (m)
real(r8) tmpa, tmpb, tmpc, tmpe, tmpq
real(r8) tmpa1, tmpb1
real(r8) tmp_m1, tmp_m2, tmp_m3, tmp_n1, tmp_n2, tmp_n3
real(r8) tmp_spd ! h2so4 vapor molecular speed (m/s)
real(r8) factor_kk
real(r8) fogas, foso4a, fonh4a, fonuma
real(r8) freduce ! reduction factor applied to nucleation rate
! due to limited availability of h2so4 & nh3 gases
real(r8) freducea, freduceb
real(r8) gamma_kk ! kk2002 "gamma" parameter (nm2*m2/h)
real(r8) gr_kk ! kk2002 "gr" parameter (nm/h)
real(r8) kgaero_per_moleso4a ! (kg dry aerosol)/(mol aerosol so4)
real(r8) mass_part ! "grown" single-particle dry mass (kg)
real(r8) molenh4a_per_moleso4a ! (mol aerosol nh4)/(mol aerosol so4)
real(r8) nh3ppt, nh3ppt_bb ! actual and bounded nh3 (ppt)
real(r8) nu_kk ! kk2002 "nu" parameter (nm)
real(r8) qmolnh4a_del_max ! max production of aerosol nh4 over dtnuc (mol/mol-air)
real(r8) qmolso4a_del_max ! max production of aerosol so4 over dtnuc (mol/mol-air)
real(r8) ratenuclt_bb ! nucleation rate (#/m3/s)
real(r8) ratenuclt_kk ! nucleation rate after kk2002 adjustment (#/m3/s)
real(r8) rh_bb ! bounded value of rh_in
real(r8) so4vol_in ! concentration of h2so4 for nucl. calc., molecules cm-3
real(r8) so4vol_bb ! bounded value of so4vol_in
real(r8) temp_bb ! bounded value of temp_in
real(r8) voldry_clus ! critical-cluster dry volume (m3)
real(r8) voldry_part ! "grown" single-particle dry volume (m3)
real(r8) wetvol_dryvol ! grown particle (wet-volume)/(dry-volume)
real(r8) wet_volfrac_so4a ! grown particle (dry-volume-from-so4)/(wet-volume)
!
! if h2so4 vapor < qh2so4_cutoff
! exit with new particle formation = 0
!
isize_nuc = 1
qnuma_del = 0.0
qso4a_del = 0.0
qnh4a_del = 0.0
qh2so4_del = 0.0
qnh3_del = 0.0
! if (qh2so4_avg .le. qh2so4_cutoff) return ! this no longer needed
! if (qh2so4_cur .le. qh2so4_cutoff) return ! this no longer needed
if ((newnuc_method_flagaa /= 1) .and. &
(newnuc_method_flagaa /= 2) .and. &
(newnuc_method_flagaa /= 11) .and. &
(newnuc_method_flagaa /= 12)) return
!
! make call to parameterization routine
!
! calc h2so4 in molecules/cm3 and nh3 in ppt
cair = press_in/(temp_in*8.3144)
so4vol_in = qh2so4_avg * cair * avogad * 1.0e-6
nh3ppt = qnh3_cur * 1.0e12
ratenuclt = 1.0e-38_r8
rateloge = log( ratenuclt )
if ( (newnuc_method_flagaa /= 2) .and. &
(nh3ppt >= 0.1) ) then
! make call to merikanto ternary parameterization routine
! (when nh3ppt < 0.1, use binary param instead)
if (so4vol_in >= 5.0e4) then
temp_bb = max( 235.0_r8, min( 295.0_r8, temp_in ) )
rh_bb = max( 0.05_r8, min( 0.95_r8, rh_in ) )
so4vol_bb = max( 5.0e4_r8, min( 1.0e9_r8, so4vol_in ) )
nh3ppt_bb = max( 0.1_r8, min( 1.0e3_r8, nh3ppt ) )
call ternary_nuc_merik2007( &
temp_bb, rh_bb, so4vol_bb, nh3ppt_bb, &
rateloge, &
cnum_tot, cnum_h2so4, cnum_nh3, radius_cluster )
end if
newnuc_method_flagaa2 = 1
else
! make call to vehkamaki binary parameterization routine
if (so4vol_in >= 1.0e4) then
temp_bb = max( 230.15_r8, min( 305.15_r8, temp_in ) )
rh_bb = max( 1.0e-4_r8, min( 1.0_r8, rh_in ) )
so4vol_bb = max( 1.0e4_r8, min( 1.0e11_r8, so4vol_in ) )
call binary_nuc_vehk2002( &
temp_bb, rh_bb, so4vol_bb, &
ratenuclt, rateloge, &
cnum_h2so4, cnum_tot, radius_cluster )
end if
cnum_nh3 = 0.0
newnuc_method_flagaa2 = 2
end if
! do boundary layer nuc
if ((newnuc_method_flagaa == 11) .or. &
(newnuc_method_flagaa == 12)) then
if ( zm_in <= max(pblh_in,100.0_r8) ) then
so4vol_bb = so4vol_in
call pbl_nuc_wang2008( so4vol_bb, &
newnuc_method_flagaa, newnuc_method_flagaa2, &
ratenuclt, rateloge, &
cnum_tot, cnum_h2so4, cnum_nh3, radius_cluster )
end if
end if
! if nucleation rate is less than 1e-6 #/m3/s ~= 0.1 #/cm3/day,
! exit with new particle formation = 0
if (rateloge .le. -13.82_r8) return
! if (ratenuclt .le. 1.0e-6) return
ratenuclt = exp( rateloge )
ratenuclt_bb = ratenuclt*1.0e6_r8
! wet/dry volume ratio - use simple kohler approx for ammsulf/ammbisulf
tmpa = max( 0.10_r8, min( 0.95_r8, rh_in ) )
wetvol_dryvol = 1.0 - 0.56/log(tmpa)
! determine size bin into which the new particles go
! (probably it will always be bin #1, but ...)
voldry_clus = ( max(cnum_h2so4,1.0_r8)*mw_so4a + cnum_nh3*mw_nh4a ) / &
(1.0e3*dens_sulfacid*avogad)
! correction when host code sulfate is really ammonium bisulfate/sulfate
voldry_clus = voldry_clus * (mw_so4a_host/mw_so4a)
dpdry_clus = (voldry_clus*6.0/pi)**onethird
isize_nuc = 1
dpdry_part = dplom_sect(1)
if (dpdry_clus <= dplom_sect(1)) then
igrow = 1 ! need to clusters to larger size
else if (dpdry_clus >= dphim_sect(nsize)) then
igrow = 0
isize_nuc = nsize
dpdry_part = dphim_sect(nsize)
else
igrow = 0
do i = 1, nsize
if (dpdry_clus < dphim_sect(i)) then
isize_nuc = i
dpdry_part = dpdry_clus
dpdry_part = min( dpdry_part, dphim_sect(i) )
dpdry_part = max( dpdry_part, dplom_sect(i) )
exit
end if
end do
end if
voldry_part = (pi/6.0)*(dpdry_part**3)
!
! determine composition and density of the "grown particles"
! the grown particles are assumed to be liquid
! (since critical clusters contain water)
! so any (nh4/so4) molar ratio between 0 and 2 is allowed
! assume that the grown particles will have
! (nh4/so4 molar ratio) = min( 2, (nh3/h2so4 gas molar ratio) )
!
if (igrow .le. 0) then
! no "growing" so pure sulfuric acid
tmp_n1 = 0.0
tmp_n2 = 0.0
tmp_n3 = 1.0
else if (qnh3_cur .ge. qh2so4_cur) then
! combination of ammonium sulfate and ammonium bisulfate
! tmp_n1 & tmp_n2 = mole fractions of the ammsulf & ammbisulf
tmp_n1 = (qnh3_cur/qh2so4_cur) - 1.0
tmp_n1 = max( 0.0_r8, min( 1.0_r8, tmp_n1 ) )
tmp_n2 = 1.0 - tmp_n1
tmp_n3 = 0.0
else
! combination of ammonium bisulfate and sulfuric acid
! tmp_n2 & tmp_n3 = mole fractions of the ammbisulf & sulfacid
tmp_n1 = 0.0
tmp_n2 = (qnh3_cur/qh2so4_cur)
tmp_n2 = max( 0.0_r8, min( 1.0_r8, tmp_n2 ) )
tmp_n3 = 1.0 - tmp_n2
end if
tmp_m1 = tmp_n1*mw_ammsulf
tmp_m2 = tmp_n2*mw_ammbisulf
tmp_m3 = tmp_n3*mw_sulfacid
dens_part = (tmp_m1 + tmp_m2 + tmp_m3)/ &
((tmp_m1/dens_ammsulf) + (tmp_m2/dens_ammbisulf) &
+ (tmp_m3/dens_sulfacid))
dens_nh4so4a = dens_part
mass_part = voldry_part*dens_part
! (mol aerosol nh4)/(mol aerosol so4)
molenh4a_per_moleso4a = 2.0*tmp_n1 + tmp_n2
! (kg dry aerosol)/(mol aerosol so4)
kgaero_per_moleso4a = 1.0e-3*(tmp_m1 + tmp_m2 + tmp_m3)
! correction when host code sulfate is really ammonium bisulfate/sulfate
kgaero_per_moleso4a = kgaero_per_moleso4a * (mw_so4a_host/mw_so4a)
! fraction of wet volume due to so4a
tmpb = 1.0 + molenh4a_per_moleso4a*17.0/98.0
wet_volfrac_so4a = 1.0 / ( wetvol_dryvol * tmpb )
!
! calc kerminen & kulmala (2002) correction
!
if (igrow <= 0) then
factor_kk = 1.0
else
! "gr" parameter (nm/h) = condensation growth rate of new particles
! use kk2002 eqn 21 for h2so4 uptake, and correct for nh3 & h2o uptake
tmp_spd = 14.7*sqrt(temp_in) ! h2so4 molecular speed (m/s)
gr_kk = 3.0e-9*tmp_spd*mw_sulfacid*so4vol_in/ &
(dens_part*wet_volfrac_so4a)
! "gamma" parameter (nm2/m2/h)
! use kk2002 eqn 22
!
! dfin_kk = wet diam (nm) of grown particle having dry dia = dpdry_part (m)
dfin_kk = 1.0e9 * dpdry_part * (wetvol_dryvol**onethird)
! dnuc_kk = wet diam (nm) of cluster
dnuc_kk = 2.0*radius_cluster
dnuc_kk = max( dnuc_kk, 1.0_r8 )
! neglect (dmean/150)**0.048 factor,
! which should be very close to 1.0 because of small exponent
gamma_kk = 0.23 * (dnuc_kk)**0.2 &
* (dfin_kk/3.0)**0.075 &
* (dens_part*1.0e-3)**(-0.33) &
* (temp_in/293.0)**(-0.75)
! "cs_prime parameter" (1/m2)
! instead kk2002 eqn 3, use
! cs_prime ~= tmpa / (4*pi*tmpb * h2so4_accom_coef)
! where
! tmpa = -d(ln(h2so4))/dt by conden to particles (1/h units)
! tmpb = h2so4 vapor diffusivity (m2/h units)
! this approx is generally within a few percent of the cs_prime
! calculated directly from eqn 2,
! which is acceptable, given overall uncertainties
! tmpa = -d(ln(h2so4))/dt by conden to particles (1/h units)
tmpa = h2so4_uptkrate * 3600.0
tmpa1 = tmpa
tmpa = max( tmpa, 0.0_r8 )
! tmpb = h2so4 gas diffusivity (m2/s, then m2/h)
tmpb = 6.7037e-6 * (temp_in**0.75) / cair
tmpb1 = tmpb ! m2/s
tmpb = tmpb*3600.0 ! m2/h
cs_prime_kk = tmpa/(4.0*pi*tmpb*accom_coef_h2so4)
cs_kk = cs_prime_kk*4.0*pi*tmpb1
! "nu" parameter (nm) -- kk2002 eqn 11
nu_kk = gamma_kk*cs_prime_kk/gr_kk
! nucleation rate adjustment factor (--) -- kk2002 eqn 13
factor_kk = exp( (nu_kk/dfin_kk) - (nu_kk/dnuc_kk) )
end if
ratenuclt_kk = ratenuclt_bb*factor_kk
! max production of aerosol dry mass (kg-aero/m3-air)
tmpa = max( 0.0_r8, (ratenuclt_kk*dtnuc*mass_part) )
! max production of aerosol so4 (mol-so4a/mol-air)
tmpe = tmpa/(kgaero_per_moleso4a*cair)
! max production of aerosol so4 (mol/mol-air)
! based on ratenuclt_kk and mass_part
qmolso4a_del_max = tmpe
! check if max production exceeds available h2so4 vapor
freducea = 1.0
if (qmolso4a_del_max .gt. qh2so4_cur) then
freducea = qh2so4_cur/qmolso4a_del_max
end if
! check if max production exceeds available nh3 vapor
freduceb = 1.0
if (molenh4a_per_moleso4a .ge. 1.0e-10) then
! max production of aerosol nh4 (ppm) based on ratenuclt_kk and mass_part
qmolnh4a_del_max = qmolso4a_del_max*molenh4a_per_moleso4a
if (qmolnh4a_del_max .gt. qnh3_cur) then
freduceb = qnh3_cur/qmolnh4a_del_max
end if
end if
freduce = min( freducea, freduceb )
! if adjusted nucleation rate is less than 1e-12 #/m3/s ~= 0.1 #/cm3/day,
! exit with new particle formation = 0
if (freduce*ratenuclt_kk .le. 1.0e-12) return
! note: suppose that at this point, freduce < 1.0 (no gas-available
! constraints) and molenh4a_per_moleso4a < 2.0
! if the gas-available constraints is do to h2so4 availability,
! then it would be possible to condense "additional" nh3 and have
! (nh3/h2so4 gas molar ratio) < (nh4/so4 aerosol molar ratio) <= 2
! one could do some additional calculations of
! dens_part & molenh4a_per_moleso4a to realize this
! however, the particle "growing" is a crude approximate way to get
! the new particles to the host code's minimum particle size,
! are such refinements worth the effort?
! changes to h2so4 & nh3 gas (in mol/mol-air), limited by amounts available
tmpa = 0.9999
qh2so4_del = min( tmpa*qh2so4_cur, freduce*qmolso4a_del_max )
qnh3_del = min( tmpa*qnh3_cur, qh2so4_del*molenh4a_per_moleso4a )
qh2so4_del = -qh2so4_del
qnh3_del = -qnh3_del
! changes to so4 & nh4 aerosol (in mol/mol-air)
qso4a_del = -qh2so4_del
qnh4a_del = -qnh3_del
! change to aerosol number (in #/mol-air)
qnuma_del = 1.0e-3*(qso4a_del*mw_so4a + qnh4a_del*mw_nh4a)/mass_part
! do the following (tmpa, tmpb, tmpc) calculations as a check
! max production of aerosol number (#/mol-air)
tmpa = max( 0.0_r8, (ratenuclt_kk*dtnuc/cair) )
! adjusted production of aerosol number (#/mol-air)
tmpb = tmpa*freduce
! relative difference from qnuma_del
tmpc = (tmpb - qnuma_del)/max(tmpb, qnuma_del, 1.0e-35_r8)
!
! diagnostic output to fort.41
! (this should be commented-out or deleted in the wrf-chem version)
!
if (ldiagaa <= 0) return
icase = icase + 1
if (abs(tmpc) .gt. abs(reldiffmax)) then
reldiffmax = tmpc
icase_reldiffmax = icase
end if
! do lun = 41, 51, 10
do lun = 6, 6
! write(lun,'(/)')
write(lun,'(a,2i9,1p,e10.2)') &
'vehkam bin-nuc icase, icase_rdmax =', &
icase, icase_reldiffmax, reldiffmax
if (freduceb .lt. freducea) then
if (abs(freducea-freduceb) .gt. &
3.0e-7*max(freduceb,freducea)) write(lun,'(a,1p,2e15.7)') &
'freducea, b =', freducea, freduceb
end if
end do
! output factors so that output matches that of ternucl03
! fogas = 1.0e6 ! convert mol/mol-air to ppm
! foso4a = 1.0e9*mw_so4a/mw_air ! convert mol-so4a/mol-air to ug/kg-air
! fonh4a = 1.0e9*mw_nh4a/mw_air ! convert mol-nh4a/mol-air to ug/kg-air
! fonuma = 1.0e3/mw_air ! convert #/mol-air to #/kg-air
fogas = 1.0
foso4a = 1.0
fonh4a = 1.0
fonuma = 1.0
! do lun = 41, 51, 10
do lun = 6, 6
write(lun,'(a,2i5)') 'newnuc_method_flagaa/aa2', &
newnuc_method_flagaa, newnuc_method_flagaa2
write(lun,9210)
write(lun,9201) temp_in, rh_in, &
ratenuclt, 2.0*radius_cluster*1.0e-7, dpdry_part*1.0e2, &
voldry_part*1.0e6, float(igrow)
write(lun,9215)
write(lun,9201) &
qh2so4_avg*fogas, 0.0, &
qh2so4_cur*fogas, qnh3_cur*fogas, &
qh2so4_del*fogas, qnh3_del*fogas, &
qso4a_del*foso4a, qnh4a_del*fonh4a
write(lun,9220)
write(lun,9201) &
dtnuc, dens_nh4so4a*1.0e-3, &
(qnh3_cur/qh2so4_cur), molenh4a_per_moleso4a, &
qnuma_del*fonuma, tmpb*fonuma, tmpc, freduce
end do
! lun = 51
lun = 6
write(lun,9230)
write(lun,9201) &
press_in, cair*1.0e-6, so4vol_in, &
wet_volfrac_so4a, wetvol_dryvol, dens_part*1.0e-3
if (igrow > 0) then
write(lun,9240)
write(lun,9201) &
tmp_spd, gr_kk, dnuc_kk, dfin_kk, &
gamma_kk, tmpa1, tmpb1, cs_kk
write(lun,9250)
write(lun,9201) &
cs_prime_kk, nu_kk, factor_kk, ratenuclt, &
ratenuclt_kk*1.0e-6
end if
9201 format ( 1p, 40e10.2 )
9210 format ( &
' temp rh', &
' ratenuc dia_clus ddry_part', &
' vdry_part igrow' )
9215 format ( &
' h2so4avg h2so4pre', &
' h2so4cur nh3_cur', &
' h2so4del nh3_del', &
' so4a_del nh4a_del' )
9220 format ( &
' dtnuc dens_a nh/so g nh/so a', &
' numa_del numa_dl2 reldiff freduce' )
9230 format ( &
' press_in cair so4_volin', &
' wet_volfr wetv_dryv dens_part' )
9240 format ( &
' tmp_spd gr_kk dnuc_kk dfin_kk', &
' gamma_kk tmpa1 tmpb1 cs_kk' )
9250 format ( &
' cs_pri_kk nu_kk factor_kk ratenuclt', &
' ratenu_kk' )
return
end subroutine mer07_veh02_nuc_mosaic_1box
!-----------------------------------------------------------------------
!-----------------------------------------------------------------------
subroutine pbl_nuc_wang2008( so4vol, &
newnuc_method_flagaa, newnuc_method_flagaa2, &
ratenucl, rateloge, &
cnum_tot, cnum_h2so4, cnum_nh3, radius_cluster )
!
! calculates boundary nucleation nucleation rate
! using the first or second-order parameterization in
! wang, m., and j.e. penner, 2008,
! aerosol indirect forcing in a global model with particle nucleation,
! atmos. chem. phys. discuss., 8, 13943-13998
!
implicit none
! subr arguments (in)
real(r8), intent(in) :: so4vol ! concentration of h2so4 (molecules cm-3)
integer, intent(in) :: newnuc_method_flagaa
! [11,12] value selects [first,second]-order parameterization
! subr arguments (inout)
integer, intent(inout) :: newnuc_method_flagaa2
real(r8), intent(inout) :: ratenucl ! binary nucleation rate, j (# cm-3 s-1)
real(r8), intent(inout) :: rateloge ! log( ratenucl )
real(r8), intent(inout) :: cnum_tot ! total number of molecules
! in the critical nucleus
real(r8), intent(inout) :: cnum_h2so4 ! number of h2so4 molecules
real(r8), intent(inout) :: cnum_nh3 ! number of nh3 molecules
real(r8), intent(inout) :: radius_cluster ! the radius of cluster (nm)
! local variables
real(r8) :: tmp_diam, tmp_mass, tmp_volu
real(r8) :: tmp_rateloge, tmp_ratenucl
! executable
! nucleation rate
if (newnuc_method_flagaa == 11) then
tmp_ratenucl = 1.0e-6_r8 * so4vol
else if (newnuc_method_flagaa == 12) then
tmp_ratenucl = 1.0e-12_r8 * (so4vol**2)
else
return
end if
tmp_rateloge = log( tmp_ratenucl )
! exit if pbl nuc rate is lower than (incoming) ternary/binary rate
if (tmp_rateloge <= rateloge) return
rateloge = tmp_rateloge
ratenucl = tmp_ratenucl
newnuc_method_flagaa2 = newnuc_method_flagaa
! following wang 2002, assume fresh nuclei are 1 nm diameter
! subsequent code will "grow" them to aitken mode size
radius_cluster = 0.5_r8
! assume fresh nuclei are pure h2so4
! since aitken size >> initial size, the initial composition
! has very little impact on the results
tmp_diam = radius_cluster * 2.0e-7_r8 ! diameter in cm
tmp_volu = (tmp_diam**3) * (pi/6.0_r8) ! volume in cm^3
tmp_mass = tmp_volu * 1.8_r8 ! mass in g
cnum_h2so4 = (tmp_mass / 98.0_r8) * 6.023e23_r8 ! no. of h2so4 molec assuming pure h2so4
cnum_tot = cnum_h2so4
cnum_nh3 = 0.0_r8
return
end subroutine pbl_nuc_wang2008
!-----------------------------------------------------------------------
!-----------------------------------------------------------------------
subroutine binary_nuc_vehk2002( temp, rh, so4vol, &
ratenucl, rateloge, &
cnum_h2so4, cnum_tot, radius_cluster )
!
! calculates binary nucleation rate and critical cluster size
! using the parameterization in
! vehkamaki, h., m. kulmala, i. napari, k.e.j. lehtinen,
! c. timmreck, m. noppel and a. laaksonen, 2002,
! an improved parameterization for sulfuric acid-water nucleation
! rates for tropospheric and stratospheric conditions,
! j. geophys. res., 107, 4622, doi:10.1029/2002jd002184
!
implicit none
! subr arguments (in)
real(r8), intent(in) :: temp ! temperature (k)
real(r8), intent(in) :: rh ! relative humidity (0-1)
real(r8), intent(in) :: so4vol ! concentration of h2so4 (molecules cm-3)
! subr arguments (out)
real(r8), intent(out) :: ratenucl ! binary nucleation rate, j (# cm-3 s-1)
real(r8), intent(out) :: rateloge ! log( ratenucl )
real(r8), intent(out) :: cnum_h2so4 ! number of h2so4 molecules
! in the critical nucleus
real(r8), intent(out) :: cnum_tot ! total number of molecules
! in the critical nucleus
real(r8), intent(out) :: radius_cluster ! the radius of cluster (nm)
! local variables
real(r8) :: crit_x
real(r8) :: acoe, bcoe, ccoe, dcoe, ecoe, fcoe, gcoe, hcoe, icoe, jcoe
real(r8) :: tmpa, tmpb
! executable
! calc sulfuric acid mole fraction in critical cluster
crit_x = 0.740997 - 0.00266379 * temp &
- 0.00349998 * log (so4vol) &
+ 0.0000504022 * temp * log (so4vol) &
+ 0.00201048 * log (rh) &
- 0.000183289 * temp * log (rh) &
+ 0.00157407 * (log (rh)) ** 2.0 &
- 0.0000179059 * temp * (log (rh)) ** 2.0 &
+ 0.000184403 * (log (rh)) ** 3.0 &
- 1.50345e-6 * temp * (log (rh)) ** 3.0
! calc nucleation rate
acoe = 0.14309+2.21956*temp &
- 0.0273911 * temp**2.0 &
+ 0.0000722811 * temp**3.0 + 5.91822/crit_x
bcoe = 0.117489 + 0.462532 *temp &
- 0.0118059 * temp**2.0 &
+ 0.0000404196 * temp**3.0 + 15.7963/crit_x
ccoe = -0.215554-0.0810269 * temp &
+ 0.00143581 * temp**2.0 &
- 4.7758e-6 * temp**3.0 &
- 2.91297/crit_x
dcoe = -3.58856+0.049508 * temp &
- 0.00021382 * temp**2.0 &
+ 3.10801e-7 * temp**3.0 &
- 0.0293333/crit_x
ecoe = 1.14598 - 0.600796 * temp &
+ 0.00864245 * temp**2.0 &
- 0.0000228947 * temp**3.0 &
- 8.44985/crit_x
fcoe = 2.15855 + 0.0808121 * temp &
-0.000407382 * temp**2.0 &
-4.01957e-7 * temp**3.0 &
+ 0.721326/crit_x
gcoe = 1.6241 - 0.0160106 * temp &
+ 0.0000377124 * temp**2.0 &
+ 3.21794e-8 * temp**3.0 &
- 0.0113255/crit_x
hcoe = 9.71682 - 0.115048 * temp &
+ 0.000157098 * temp**2.0 &
+ 4.00914e-7 * temp**3.0 &
+ 0.71186/crit_x
icoe = -1.05611 + 0.00903378 * temp &
- 0.0000198417 * temp**2.0 &
+ 2.46048e-8 * temp**3.0 &
- 0.0579087/crit_x
jcoe = -0.148712 + 0.00283508 * temp &
- 9.24619e-6 * temp**2.0 &
+ 5.00427e-9 * temp**3.0 &
- 0.0127081/crit_x
tmpa = ( &
acoe &
+ bcoe * log (rh) &
+ ccoe * ( log (rh))**2.0 &
+ dcoe * ( log (rh))**3.0 &
+ ecoe * log (so4vol) &
+ fcoe * (log (rh)) * (log (so4vol)) &
+ gcoe * ((log (rh) ) **2.0) &
* (log (so4vol)) &
+ hcoe * (log (so4vol)) **2.0 &
+ icoe * log (rh) &
* ((log (so4vol)) **2.0) &
+ jcoe * (log (so4vol)) **3.0 &
)
rateloge = tmpa
tmpa = min( tmpa, log(1.0e38_r8) )
ratenucl = exp ( tmpa )
! write(*,*) 'tmpa, ratenucl =', tmpa, ratenucl
! calc number of molecules in critical cluster
acoe = -0.00295413 - 0.0976834*temp &
+ 0.00102485 * temp**2.0 &
- 2.18646e-6 * temp**3.0 - 0.101717/crit_x
bcoe = -0.00205064 - 0.00758504*temp &
+ 0.000192654 * temp**2.0 &
- 6.7043e-7 * temp**3.0 - 0.255774/crit_x
ccoe = +0.00322308 + 0.000852637 * temp &
- 0.0000154757 * temp**2.0 &
+ 5.66661e-8 * temp**3.0 &
+ 0.0338444/crit_x
dcoe = +0.0474323 - 0.000625104 * temp &
+ 2.65066e-6 * temp**2.0 &
- 3.67471e-9 * temp**3.0 &
- 0.000267251/crit_x
ecoe = -0.0125211 + 0.00580655 * temp &
- 0.000101674 * temp**2.0 &
+ 2.88195e-7 * temp**3.0 &
+ 0.0942243/crit_x
fcoe = -0.038546 - 0.000672316 * temp &
+ 2.60288e-6 * temp**2.0 &
+ 1.19416e-8 * temp**3.0 &
- 0.00851515/crit_x
gcoe = -0.0183749 + 0.000172072 * temp &
- 3.71766e-7 * temp**2.0 &
- 5.14875e-10 * temp**3.0 &
+ 0.00026866/crit_x
hcoe = -0.0619974 + 0.000906958 * temp &
- 9.11728e-7 * temp**2.0 &
- 5.36796e-9 * temp**3.0 &
- 0.00774234/crit_x
icoe = +0.0121827 - 0.00010665 * temp &
+ 2.5346e-7 * temp**2.0 &
- 3.63519e-10 * temp**3.0 &
+ 0.000610065/crit_x
jcoe = +0.000320184 - 0.0000174762 * temp &
+ 6.06504e-8 * temp**2.0 &
- 1.4177e-11 * temp**3.0 &
+ 0.000135751/crit_x
cnum_tot = exp ( &
acoe &
+ bcoe * log (rh) &
+ ccoe * ( log (rh))**2.0 &
+ dcoe * ( log (rh))**3.0 &
+ ecoe * log (so4vol) &
+ fcoe * (log (rh)) * (log (so4vol)) &
+ gcoe * ((log (rh) ) **2.0) &
* (log (so4vol)) &
+ hcoe * (log (so4vol)) **2.0 &
+ icoe * log (rh) &
* ((log (so4vol)) **2.0) &
+ jcoe * (log (so4vol)) **3.0 &
)
cnum_h2so4 = cnum_tot * crit_x
! calc radius (nm) of critical cluster
radius_cluster = exp( -1.6524245 + 0.42316402*crit_x &
+ 0.3346648*log(cnum_tot) )
return
end subroutine binary_nuc_vehk2002
!----------------------------------------------------------------------
!----------------------------------------------------------------------
subroutine modal_aero_newnuc_init
!-----------------------------------------------------------------------
!
! Purpose:
! set do_adjust and do_aitken flags
! create history fields for column tendencies associated with
! modal_aero_calcsize
!
! Author: R. Easter
!
!-----------------------------------------------------------------------
use modal_aero_data
use modal_aero_rename
#ifndef WRF_PORT
use abortutils, only: endrun
use cam_history, only: addfld, add_default, fieldname_len, phys_decomp
use constituents, only: pcnst, cnst_get_ind, cnst_name
use spmd_utils, only: masterproc
use phys_control, only: phys_getopts
#else
use module_cam_support, only: pcnst => pcnst_runtime, &
pcols, pver, &
fieldname_len, &
endrun, iam, masterproc,addfld, add_default, &
phys_decomp
use constituents, only: cnst_name, cnst_get_ind
#endif
implicit none
!-----------------------------------------------------------------------
! arguments
!-----------------------------------------------------------------------
! local
integer :: l_h2so4, l_nh3
integer :: lnumait, lnh4ait, lso4ait
integer :: l
integer :: m, mait
character(len=fieldname_len) :: tmpname
character(len=fieldname_len+3) :: fieldname
character(128) :: long_name
character(8) :: unit
logical :: dotend(pcnst)
logical :: history_aerosol ! Output the MAM aerosol tendencies
!-----------------------------------------------------------------------
#ifndef WRF_PORT
call phys_getopts( history_aerosol_out = history_aerosol )
#else
history_aerosol = .FALSE.
#endif
! set these indices
! skip if no h2so4 species
! skip if no aitken mode so4 or num species
l_h2so4_sv = 0
l_nh3_sv = 0
lnumait_sv = 0
lnh4ait_sv = 0
lso4ait_sv = 0
call cnst_get_ind( 'H2SO4', l_h2so4, .false. )
call cnst_get_ind( 'NH3', l_nh3, .false. )
mait = modeptr_aitken
if (mait > 0) then
lnumait = numptr_amode(mait)
lso4ait = lptr_so4_a_amode(mait)
lnh4ait = lptr_nh4_a_amode(mait)
end if
if ((l_h2so4 <= 0) .or. (l_h2so4 > pcnst)) then
write(*,'(/a/)') &
'*** modal_aero_newnuc bypass -- l_h2so4 <= 0'
return
else if ((lso4ait <= 0) .or. (lso4ait > pcnst)) then
write(*,'(/a/)') &
'*** modal_aero_newnuc bypass -- lso4ait <= 0'
return
else if ((lnumait <= 0) .or. (lnumait > pcnst)) then
write(*,'(/a/)') &
'*** modal_aero_newnuc bypass -- lnumait <= 0'
return
else if ((mait <= 0) .or. (mait > ntot_amode)) then
write(*,'(/a/)') &
'*** modal_aero_newnuc bypass -- modeptr_aitken <= 0'
return
end if
l_h2so4_sv = l_h2so4
l_nh3_sv = l_nh3
lnumait_sv = lnumait
lnh4ait_sv = lnh4ait
lso4ait_sv = lso4ait
!
! create history file column-tendency fields
!
dotend(:) = .false.
dotend(lnumait) = .true.
dotend(lso4ait) = .true.
dotend(l_h2so4) = .true.
if ((l_nh3 > 0) .and. (l_nh3 <= pcnst) .and. &
(lnh4ait > 0) .and. (lnh4ait <= pcnst)) then
dotend(lnh4ait) = .true.
dotend(l_nh3) = .true.
end if
do l = 1, pcnst
if ( .not. dotend(l) ) cycle
tmpname = cnst_name(l)
unit = 'kg/m2/s'
do m = 1, ntot_amode
if (l == numptr_amode(m)) unit = '#/m2/s'
end do
fieldname = trim(tmpname) // '_sfnnuc1'
long_name = trim(tmpname) // ' modal_aero new particle nucleation column tendency'
call addfld( fieldname, unit, 1, 'A', long_name, phys_decomp )
if ( history_aerosol ) then
call add_default( fieldname, 1, ' ' )
endif
if ( masterproc ) write(*,'(3(a,2x))') &
'modal_aero_newnuc_init addfld', fieldname, unit
end do ! l = ...
return
end subroutine modal_aero_newnuc_init
!----------------------------------------------------------------------
!----------------------------------------------------------------------
subroutine ternary_nuc_merik2007( t, rh, c2, c3, j_log, ntot, nacid, namm, r )
!subroutine ternary_fit( t, rh, c2, c3, j_log, ntot, nacid, namm, r )
! *************************** ternary_fit.f90 ********************************
! joonas merikanto, 2006
!
! fortran 90 subroutine that calculates the parameterized composition
! and nucleation rate of critical clusters in h2o-h2so4-nh3 vapor
!
! warning: the fit should not be used outside its limits of validity
! (limits indicated below)
!
! in:
! t: temperature (k), limits 235-295 k
! rh: relative humidity as fraction (eg. 0.5=50%) limits 0.05-0.95
! c2: sulfuric acid concentration (molecules/cm3) limits 5x10^4 - 10^9 molecules/cm3
! c3: ammonia mixing ratio (ppt) limits 0.1 - 1000 ppt
!
! out:
! j_log: logarithm of nucleation rate (1/(s cm3))
! ntot: total number of molecules in the critical cluster
! nacid: number of sulfuric acid molecules in the critical cluster
! namm: number of ammonia molecules in the critical cluster
! r: radius of the critical cluster (nm)
! ****************************************************************************
implicit none
real(r8), intent(in) :: t, rh, c2, c3
real(r8), intent(out) :: j_log, ntot, nacid, namm, r
real(r8) :: j, t_onset
t_onset=143.6002929064716 + 1.0178856665693992*rh + &
10.196398812974294*log(c2) - &
0.1849879416839113*log(c2)**2 - 17.161783213150173*log(c3) + &
(109.92469248546053*log(c3))/log(c2) + &
0.7734119613144357*log(c2)*log(c3) - 0.15576469879527022*log(c3)**2
if(t_onset.gt.t) then
j_log=-12.861848898625231 + 4.905527742256349*c3 - 358.2337705052991*rh -&
0.05463019231872484*c3*t + 4.8630382337426985*rh*t + &
0.00020258394697064567*c3*t**2 - 0.02175548069741675*rh*t**2 - &
2.502406532869512e-7*c3*t**3 + 0.00003212869941055865*rh*t**3 - &
4.39129415725234e6/log(c2)**2 + (56383.93843154586*t)/log(c2)**2 -&
(239.835990963361*t**2)/log(c2)**2 + &
(0.33765136625580167*t**3)/log(c2)**2 - &
(629.7882041830943*rh)/(c3**3*log(c2)) + &
(7.772806552631709*rh*t)/(c3**3*log(c2)) - &
(0.031974053936299256*rh*t**2)/(c3**3*log(c2)) + &
(0.00004383764128775082*rh*t**3)/(c3**3*log(c2)) + &
1200.472096232311*log(c2) - 17.37107890065621*t*log(c2) + &
0.08170681335921742*t**2*log(c2) - 0.00012534476159729881*t**3*log(c2) - &
14.833042158178936*log(c2)**2 + 0.2932631303555295*t*log(c2)**2 - &
0.0016497524241142845*t**2*log(c2)**2 + &
2.844074805239367e-6*t**3*log(c2)**2 - 231375.56676032578*log(c3) - &
100.21645273730675*rh*log(c3) + 2919.2852552424706*t*log(c3) + &
0.977886555834732*rh*t*log(c3) - 12.286497122264588*t**2*log(c3) - &
0.0030511783284506377*rh*t**2*log(c3) + &
0.017249301826661612*t**3*log(c3) + 2.967320346100855e-6*rh*t**3*log(c3) + &
(2.360931724951942e6*log(c3))/log(c2) - &
(29752.130254319443*t*log(c3))/log(c2) + &
(125.04965118142027*t**2*log(c3))/log(c2) - &
(0.1752996881934318*t**3*log(c3))/log(c2) + &
5599.912337254629*log(c2)*log(c3) - 70.70896612937771*t*log(c2)*log(c3) + &
0.2978801613269466*t**2*log(c2)*log(c3) - &
0.00041866525019504*t**3*log(c2)*log(c3) + 75061.15281456841*log(c3)**2 - &
931.8802278173565*t*log(c3)**2 + 3.863266220840964*t**2*log(c3)**2 - &
0.005349472062284983*t**3*log(c3)**2 - &
(732006.8180571689*log(c3)**2)/log(c2) + &
(9100.06398573816*t*log(c3)**2)/log(c2) - &
(37.771091915932004*t**2*log(c3)**2)/log(c2) + &
(0.05235455395566905*t**3*log(c3)**2)/log(c2) - &
1911.0303773001353*log(c2)*log(c3)**2 + &
23.6903969622286*t*log(c2)*log(c3)**2 - &
0.09807872005428583*t**2*log(c2)*log(c3)**2 + &
0.00013564560238552576*t**3*log(c2)*log(c3)**2 - &
3180.5610833308*log(c3)**3 + 39.08268568672095*t*log(c3)**3 - &
0.16048521066690752*t**2*log(c3)**3 + &
0.00022031380023793877*t**3*log(c3)**3 + &
(40751.075322248245*log(c3)**3)/log(c2) - &
(501.66977622013934*t*log(c3)**3)/log(c2) + &
(2.063469732254135*t**2*log(c3)**3)/log(c2) - &
(0.002836873785758324*t**3*log(c3)**3)/log(c2) + &
2.792313345723013*log(c2)**2*log(c3)**3 - &
0.03422552111802899*t*log(c2)**2*log(c3)**3 + &
0.00014019195277521142*t**2*log(c2)**2*log(c3)**3 - &
1.9201227328396297e-7*t**3*log(c2)**2*log(c3)**3 - &
980.923146020468*log(rh) + 10.054155220444462*t*log(rh) - &
0.03306644502023841*t**2*log(rh) + 0.000034274041225891804*t**3*log(rh) + &
(16597.75554295064*log(rh))/log(c2) - &
(175.2365504237746*t*log(rh))/log(c2) + &
(0.6033215603167458*t**2*log(rh))/log(c2) - &
(0.0006731787599587544*t**3*log(rh))/log(c2) - &
89.38961120336789*log(c3)*log(rh) + 1.153344219304926*t*log(c3)*log(rh) - &
0.004954549700267233*t**2*log(c3)*log(rh) + &
7.096309866238719e-6*t**3*log(c3)*log(rh) + &
3.1712136610383244*log(c3)**3*log(rh) - &
0.037822330602328806*t*log(c3)**3*log(rh) + &
0.0001500555743561457*t**2*log(c3)**3*log(rh) - &
1.9828365865570703e-7*t**3*log(c3)**3*log(rh)
j=exp(j_log)
ntot=57.40091052369212 - 0.2996341884645408*t + &
0.0007395477768531926*t**2 - &
5.090604835032423*log(c2) + 0.011016634044531128*t*log(c2) + &
0.06750032251225707*log(c2)**2 - 0.8102831333223962*log(c3) + &
0.015905081275952426*t*log(c3) - 0.2044174683159531*log(c2)*log(c3) + &
0.08918159167625832*log(c3)**2 - 0.0004969033586666147*t*log(c3)**2 + &
0.005704394549007816*log(c3)**3 + 3.4098703903474368*log(j) - &
0.014916956508210809*t*log(j) + 0.08459090011666293*log(c3)*log(j) - &
0.00014800625143907616*t*log(c3)*log(j) + 0.00503804694656905*log(j)**2
r=3.2888553966535506e-10 - 3.374171768439839e-12*t + &
1.8347359507774313e-14*t**2 + 2.5419844298881856e-12*log(c2) - &
9.498107643050827e-14*t*log(c2) + 7.446266520834559e-13*log(c2)**2 + &
2.4303397746137294e-11*log(c3) + 1.589324325956633e-14*t*log(c3) - &
2.034596219775266e-12*log(c2)*log(c3) - 5.59303954457172e-13*log(c3)**2 - &
4.889507104645867e-16*t*log(c3)**2 + 1.3847024107506764e-13*log(c3)**3 + &
4.141077193427042e-15*log(j) - 2.6813110884009767e-14*t*log(j) + &
1.2879071621313094e-12*log(c3)*log(j) - &
3.80352446061867e-15*t*log(c3)*log(j) - 1.8790172502456827e-14*log(j)**2
nacid=-4.7154180661803595 + 0.13436423483953885*t - &
0.00047184686478816176*t**2 - &
2.564010713640308*log(c2) + 0.011353312899114723*t*log(c2) + &
0.0010801941974317014*log(c2)**2 + 0.5171368624197119*log(c3) - &
0.0027882479896204665*t*log(c3) + 0.8066971907026886*log(c3)**2 - &
0.0031849094214409335*t*log(c3)**2 - 0.09951184152927882*log(c3)**3 + &
0.00040072788891745513*t*log(c3)**3 + 1.3276469271073974*log(j) - &
0.006167654171986281*t*log(j) - 0.11061390967822708*log(c3)*log(j) + &
0.0004367575329273496*t*log(c3)*log(j) + 0.000916366357266258*log(j)**2
namm=71.20073903979772 - 0.8409600103431923*t + &
0.0024803006590334922*t**2 + &
2.7798606841602607*log(c2) - 0.01475023348171676*t*log(c2) + &
0.012264508212031405*log(c2)**2 - 2.009926050440182*log(c3) + &
0.008689123511431527*t*log(c3) - 0.009141180198955415*log(c2)*log(c3) + &
0.1374122553905617*log(c3)**2 - 0.0006253227821679215*t*log(c3)**2 + &
0.00009377332742098946*log(c3)**3 + 0.5202974341687757*log(j) - &
0.002419872323052805*t*log(j) + 0.07916392322884074*log(c3)*log(j) - &
0.0003021586030317366*t*log(c3)*log(j) + 0.0046977006608603395*log(j)**2
else
! nucleation rate less that 5e-6, setting j_log arbitrary small
j_log=-300.
end if
return
end subroutine ternary_nuc_merik2007
!----------------------------------------------------------------------
#endif ! (defined MODAL_AERO)
end module modal_aero_newnuc