SUBROUTINE ad_t3dmix2 (ng, tile) ! !svn $Id: ad_t3dmix2_s.h 889 2018-02-10 03:32:52Z arango $ !************************************************** Hernan G. Arango *** ! Copyright (c) 2002-2019 The ROMS/TOMS Group Andrew M. Moore ! ! Licensed under a MIT/X style license ! ! See License_ROMS.txt ! !*********************************************************************** ! ! ! This subroutine computes adjoint horizontal harmonic mixing of ! ! tracers along S-coordinate levels surfaces. ! ! ! ! BASIC STATE variables needed: t, Hz ! ! ! !*********************************************************************** ! USE mod_param #ifdef TS_MIX_CLIMA USE mod_clima #endif #ifdef DIAGNOSTICS_TS !! USE mod_diags #endif USE mod_grid USE mod_mixing USE mod_ocean USE mod_stepping ! ! Imported variable declarations. ! integer, intent(in) :: ng, tile ! ! Local variable declarations. ! #include "tile.h" ! #ifdef PROFILE CALL wclock_on (ng, iADM, 24, __LINE__, __FILE__) #endif CALL ad_t3dmix2_tile (ng, tile, & & LBi, UBi, LBj, UBj, & & IminS, ImaxS, JminS, JmaxS, & & nrhs(ng), nstp(ng), nnew(ng), & #ifdef MASKING & GRID(ng) % umask, & & GRID(ng) % vmask, & #endif #ifdef WET_DRY_NOT_YET & GRID(ng) % umask_wet, & & GRID(ng) % vmask_wet, & #endif & GRID(ng) % Hz, & & GRID(ng) % ad_Hz, & & GRID(ng) % pmon_u, & & GRID(ng) % pnom_v, & & GRID(ng) % pm, & & GRID(ng) % pn, & #ifdef DIFF_3DCOEF & MIXING(ng) % diff3d_r, & #else & MIXING(ng) % diff2, & #endif #ifdef TS_MIX_CLIMA & CLIMA(ng) % tclm, & #endif #ifdef DIAGNOSTICS_TS !! & DIAGS(ng) % DiaTwrk, & #endif & OCEAN(ng) % t, & & OCEAN(ng) % ad_t) #ifdef PROFILE CALL wclock_off (ng, iADM, 24, __LINE__, __FILE__) #endif RETURN END SUBROUTINE ad_t3dmix2 ! !*********************************************************************** SUBROUTINE ad_t3dmix2_tile (ng, tile, & & LBi, UBi, LBj, UBj, & & IminS, ImaxS, JminS, JmaxS, & & nrhs, nstp, nnew, & #ifdef MASKING & umask, vmask, & #endif #ifdef WET_DRY_NOT_YET & umask_wet, vmask_wet, & #endif & Hz, ad_Hz, & & pmon_u, pnom_v, pm, pn, & #ifdef DIFF_3DCOEF & diff3d_r, & #else & diff2, & #endif #ifdef TS_MIX_CLIMA & tclm, & #endif #ifdef DIAGNOSTICS_TS !! & DiaTwrk, & #endif & t, ad_t) !*********************************************************************** ! USE mod_param USE mod_scalars ! ! Imported variable declarations. ! integer, intent(in) :: ng, tile integer, intent(in) :: LBi, UBi, LBj, UBj integer, intent(in) :: IminS, ImaxS, JminS, JmaxS integer, intent(in) :: nrhs, nstp, nnew #ifdef ASSUMED_SHAPE # ifdef MASKING real(r8), intent(in) :: umask(LBi:,LBj:) real(r8), intent(in) :: vmask(LBi:,LBj:) # endif # ifdef WET_DRY_NOT_YET real(r8), intent(in) :: umask_wet(LBi:,LBj:) real(r8), intent(in) :: vmask_wet(LBi:,LBj:) # endif # ifdef DIFF_3DCOEF real(r8), intent(in) :: diff3d_r(LBi:,LBj:,:) # else real(r8), intent(in) :: diff2(LBi:,LBj:,:) # endif real(r8), intent(in) :: Hz(LBi:,LBj:,:) real(r8), intent(in) :: pmon_u(LBi:,LBj:) real(r8), intent(in) :: pnom_v(LBi:,LBj:) real(r8), intent(in) :: pm(LBi:,LBj:) real(r8), intent(in) :: pn(LBi:,LBj:) # ifdef TS_MIX_CLIMA real(r8), intent(in) :: tclm(LBi:,LBj:,:,:) # endif # ifdef DIAGNOSTICS_TS !! real(r8), intent(inout) :: DiaTwrk(LBi:,LBj:,:,:,:) # endif real(r8), intent(in) :: t(LBi:,LBj:,:,:,:) real(r8), intent(inout) :: ad_Hz(LBi:,LBj:,:) real(r8), intent(inout) :: ad_t(LBi:,LBj:,:,:,:) #else # ifdef MASKING real(r8), intent(in) :: umask(LBi:UBi,LBj:UBj) real(r8), intent(in) :: vmask(LBi:UBi,LBj:UBj) # endif # ifdef WET_DRY_NOT_YET real(r8), intent(in) :: umask_wet(LBi:UBi,LBj:UBj) real(r8), intent(in) :: vmask_wet(LBi:UBi,LBj:UBj) # endif # ifdef DIFF_3DCOEF real(r8), intent(in) :: diff3d_r(LBi:UBi,LBj:UBj,N(ng)) # else real(r8), intent(in) :: diff2(LBi:UBi,LBj:UBj,NT(ng)) # endif real(r8), intent(in) :: Hz(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: pmon_u(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pnom_v(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pm(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pn(LBi:UBi,LBj:UBj) # ifdef TS_MIX_CLIMA real(r8), intent(in) :: tclm(LBi:UBi,LBj:UBj,N(ng),NT(ng)) # endif # ifdef DIAGNOSTICS_TS !! real(r8), intent(inout) :: DiaTwrk(LBi:UBi,LBj:UBj,N(ng),NT(ng), & !! & NDT) # endif real(r8), intent(in) :: t(LBi:UBi,LBj:UBj,N(ng),3,NT(ng)) real(r8), intent(inout) :: ad_Hz(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(inout) :: ad_t(LBi:UBi,LBj:UBj,N(ng),3,NT(ng)) #endif ! ! Local variable declarations. ! integer :: i, itrc, j, k real(r8) :: cff, cff1 real(r8) :: adfac, adfac1, adfac2, adfac3, adfac4, ad_cff, ad_cff1 real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: ad_FE real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: ad_FX #include "set_bounds.h" ! !----------------------------------------------------------------------- ! Initialize adjoint private variables. !----------------------------------------------------------------------- ! ad_cff=0.0_r8 ad_cff1=0.0_r8 ad_FE(IminS:ImaxS,JminS:JmaxS)=0.0_r8 ad_FX(IminS:ImaxS,JminS:JmaxS)=0.0_r8 ! !---------------------------------------------------------------------- ! Compute adjoint horizontal harmonic diffusion along constant ! S-surfaces. !---------------------------------------------------------------------- ! DO itrc=1,NT(ng) DO k=1,N(ng) ! ! Time-step harmonic, S-surfaces diffusion term (m Tunits). ! DO j=Jstr,Jend DO i=Istr,Iend #ifdef DIAGNOSTICS_TS !! DiaTwrk(i,j,k,itrc,iThdif)=cff #endif !> tl_t(i,j,k,nnew,itrc)=tl_t(i,j,k,nnew,itrc)+tl_cff !> ad_cff=ad_cff+ad_t(i,j,k,nnew,itrc) !> tl_cff=dt(ng)*pm(i,j)*pn(i,j)* & !> & (tl_FX(i+1,j)-tl_FX(i,j)+ & !> & tl_FE(i,j+1)-tl_FE(i,j)) !> adfac=dt(ng)*pm(i,j)*pn(i,j)*ad_cff ad_FX(i ,j)=ad_FX(i ,j)-adfac ad_FX(i+1,j)=ad_FX(i+1,j)+adfac ad_FE(i,j )=ad_FE(i,j )-adfac ad_FE(i,j+1)=ad_FE(i,j+1)+adfac ad_cff=0.0_r8 END DO END DO ! ! Compute XI- and ETA-components of diffusive tracer flux (T m3/s). ! DO j=Jstr,Jend+1 DO i=Istr,Iend #ifdef DIFF_3DCOEF cff=0.25_r8*(diff3d_r(i,j,k)+diff3d_r(i,j-1,k))* & & pnom_v(i,j) #else cff=0.25_r8*(diff2(i,j,itrc)+diff2(i,j-1,itrc))* & & pnom_v(i,j) #endif #ifdef WET_DRY_NOT_YET FE(i,j)=FE(i,j)*vmask_wet(i,j) #endif #ifdef MASKING !> tl_FE(i,j)=tl_FE(i,j)*vmask(i,j) !> ad_FE(i,j)=ad_FE(i,j)*vmask(i,j) #endif #if defined TS_MIX_STABILITY !> tl_FE(i,j)=cff* & !> & ((tl_Hz(i,j,k)+tl_Hz(i,j-1,k))* & !> & (0.75_r8*(t(i,j ,k,nrhs,itrc)- & !> & t(i,j-1,k,nrhs,itrc))+ & !> & 0.25_r8*(t(i,j ,k,nstp,itrc)- & !> & t(i,j-1,k,nstp,itrc)))+ & !> & (Hz(i,j,k)+Hz(i,j-1,k))* & !> & (0.75_r8*(tl_t(i,j ,k,nrhs,itrc)- & !> & tl_t(i,j-1,k,nrhs,itrc))+ & !> & 0.25_r8*(tl_t(i,j ,k,nstp,itrc)- & !> & tl_t(i,j-1,k,nstp,itrc)))) !> adfac=cff*ad_FE(i,j) adfac1=adfac*(0.75_r8*(t(i,j ,k,nrhs,itrc)- & & t(i,j-1,k,nrhs,itrc))+ & & 0.25_r8*(t(i,j ,k,nstp,itrc)- & & t(i,j-1,k,nstp,itrc))) adfac2=adfac*(Hz(i,j,k)+Hz(i,j-1,k)) adfac3=adfac2*0.75_r8 adfac4=adfac2*0.25_r8 ad_Hz(i,j-1,k)=ad_Hz(i,j-1,k)+adfac1 ad_Hz(i,j ,k)=ad_Hz(i,j ,k)+adfac1 ad_t(i,j-1,k,nrhs,itrc)=ad_t(i,j-1,k,nrhs,itrc)-adfac3 ad_t(i,j ,k,nrhs,itrc)=ad_t(i,j ,k,nrhs,itrc)+adfac3 ad_t(i,j-1,k,nstp,itrc)=ad_t(i,j-1,k,nstp,itrc)-adfac4 ad_t(i,j ,k,nstp,itrc)=ad_t(i,j ,k,nstp,itrc)+adfac4 ad_FE(i,j)=0.0_r8 #elif defined TS_MIX_CLIMA IF (LtracerCLM(itrc,ng)) THEN !> tl_FE(i,j)=cff* & !> & ((tl_Hz(i,j,k)+tl_Hz(i,j-1,k))* & !> & ((t(i,j ,k,nrhs,itrc)- & !> & tclm(i,j ,k,itrc))- & !> & (t(i,j-1,k,nrhs,itrc)- & !> & tclm(i,j-1,k,itrc)))+ & !> & (Hz(i,j,k)+Hz(i,j-1,k))* & !> & (tl_t(i,j ,k,nrhs,itrc)- & !> & tl_t(i,j-1,k,nrhs,itrc))) !> adfac=cff*ad_FE(i,j) adfac1=adfac*((t(i,j ,k,nrhs,itrc)- & & tclm(i,j ,k,itrc))- & & (t(i,j-1,k,nrhs,itrc)- & & tclm(i,j-1,k,itrc))) adfac2=adfac*(Hz(i,j,k)+Hz(i,j-1,k)) ad_Hz(i,j-1,k)=ad_Hz(i,j-1,k)+adfac1 ad_Hz(i,j ,k)=ad_Hz(i,j ,k)+adfac1 ad_t(i,j-1,k,nrhs,itrc)=ad_t(i,j-1,k,nrhs,itrc)-adfac2 ad_t(i,j ,k,nrhs,itrc)=ad_t(i,j ,k,nrhs,itrc)+adfac2 ad_FE(i,j)=0.0_r8 ELSE !> tl_FE(i,j)=cff* & !> & ((tl_Hz(i,j,k)+tl_Hz(i,j-1,k))* & !> & (t(i,j ,k,nrhs,itrc)- & !> & t(i,j-1,k,nrhs,itrc))+ & !> & (Hz(i,j,k)+Hz(i,j-1,k))* & !> & (tl_t(i,j ,k,nrhs,itrc)- & !> & tl_t(i,j-1,k,nrhs,itrc))) !> adfac=cff*ad_FE(i,j) adfac1=adfac*(t(i,j,k,nrhs,itrc)-t(i,j-1,k,nrhs,itrc)) adfac2=adfac*(Hz(i,j,k)+Hz(i,j-1,k)) ad_Hz(i,j-1,k)=ad_Hz(i,j-1,k)+adfac1 ad_Hz(i,j ,k)=ad_Hz(i,j ,k)+adfac1 ad_t(i,j-1,k,nrhs,itrc)=ad_t(i,j-1,k,nrhs,itrc)-adfac2 ad_t(i,j ,k,nrhs,itrc)=ad_t(i,j ,k,nrhs,itrc)+adfac2 ad_FE(i,j)=0.0_r8 END IF #else !> tl_FE(i,j)=cff* & !> & ((tl_Hz(i,j,k)+tl_Hz(i,j-1,k))* & !> & (t(i,j ,k,nrhs,itrc)- & !> & t(i,j-1,k,nrhs,itrc))+ & !> & (Hz(i,j,k)+Hz(i,j-1,k))* & !> & (tl_t(i,j ,k,nrhs,itrc)- & !> & tl_t(i,j-1,k,nrhs,itrc))) !> adfac=cff*ad_FE(i,j) adfac1=adfac*(t(i,j,k,nrhs,itrc)-t(i,j-1,k,nrhs,itrc)) adfac2=adfac*(Hz(i,j,k)+Hz(i,j-1,k)) ad_Hz(i,j-1,k)=ad_Hz(i,j-1,k)+adfac1 ad_Hz(i,j ,k)=ad_Hz(i,j ,k)+adfac1 ad_t(i,j-1,k,nrhs,itrc)=ad_t(i,j-1,k,nrhs,itrc)-adfac2 ad_t(i,j ,k,nrhs,itrc)=ad_t(i,j ,k,nrhs,itrc)+adfac2 ad_FE(i,j)=0.0_r8 #endif END DO END DO DO j=Jstr,Jend DO i=Istr,Iend+1 #ifdef DIFF_3DCOEF cff=0.25_r8*(diff3d_r(i,j,k)+diff3d_r(i-1,j,k))* & & pmon_u(i,j) #else cff=0.25_r8*(diff2(i,j,itrc)+diff2(i-1,j,itrc))* & & pmon_u(i,j) #endif #ifdef WET_DRY_NOT_YET FX(i,j)=FX(i,j)*umask_wet(i,j) #endif #ifdef MASKING !> tl_FX(i,j)=tl_FX(i,j)*umask(i,j) !> ad_FX(i,j)=ad_FX(i,j)*umask(i,j) #endif #if defined TS_MIX_STABILITY !> tl_FX(i,j)=cff* & !> & ((tl_Hz(i,j,k)+tl_Hz(i-1,j,k))* & !> & (0.75_r8*(t(i ,j,k,nrhs,itrc)- & !> & t(i-1,j,k,nrhs,itrc))+ & !> & 0.25_r8*(t(i ,j,k,nstp,itrc)- & !> & t(i-1,j,k,nstp,itrc)))+ & !> & (Hz(i,j,k)+Hz(i-1,j,k))* & !> & (0.75_r8*(tl_t(i ,j,k,nrhs,itrc)- & !> & tl_t(i-1,j,k,nrhs,itrc))+ & !> & 0.25_r8*(tl_t(i ,j,k,nstp,itrc)- & !> & tl_t(i-1,j,k,nstp,itrc)))) !> adfac=cff*ad_FX(i,j) adfac1=adfac*(0.75_r8*(t(i ,j,k,nrhs,itrc)- & & t(i-1,j,k,nrhs,itrc))+ & & 0.25_r8*(t(i ,j,k,nstp,itrc)- & & t(i-1,j,k,nstp,itrc))) adfac2=adfac*(Hz(i,j,k)+Hz(i-1,j,k)) adfac3=adfac2*0.75_r8 adfac4=adfac2*0.25_r8 ad_Hz(i-1,j,k)=ad_Hz(i-1,j,k)+adfac1 ad_Hz(i ,j,k)=ad_Hz(i ,j,k)+adfac1 ad_t(i-1,j,k,nrhs,itrc)=ad_t(i-1,j,k,nrhs,itrc)-adfac3 ad_t(i ,j,k,nrhs,itrc)=ad_t(i ,j,k,nrhs,itrc)+adfac3 ad_t(i-1,j,k,nstp,itrc)=ad_t(i-1,j,k,nstp,itrc)-adfac4 ad_t(i ,j,k,nstp,itrc)=ad_t(i ,j,k,nstp,itrc)+adfac4 ad_FX(i,j)=0.0_r8 #elif defined TS_MIX_CLIMA IF (LtracerCLM(itrc,ng)) THEN !> tl_FX(i,j)=cff* & !> & ((tl_Hz(i,j,k)+tl_Hz(i-1,j,k))* & !> & ((t(i ,j,k,nrhs,itrc)- & !> & tclm(i ,j,k,itrc))- & !> & (t(i-1,j,k,nrhs,itrc)- & !> & tclm(i-1,j,k,itrc)))+ & !> & (Hz(i,j,k)+Hz(i-1,j,k))* & !> & (tl_t(i ,j,k,nrhs,itrc)- & !> & tl_t(i-1,j,k,nrhs,itrc))) !> adfac=cff*ad_FX(i,j) adfac1=adfac*((t(i ,j,k,nrhs,itrc)- & & tclm(i ,j,k,itrc))- & & (t(i-1,j,k,nrhs,itrc)- & & tclm(i-1,j,k,itrc))) adfac2=adfac*(Hz(i,j,k)+Hz(i-1,j,k)) ad_Hz(i-1,j,k)=ad_Hz(i-1,j,k)+adfac1 ad_Hz(i ,j,k)=ad_Hz(i ,j,k)+adfac1 ad_t(i-1,j,k,nrhs,itrc)=ad_t(i-1,j,k,nrhs,itrc)-adfac2 ad_t(i ,j,k,nrhs,itrc)=ad_t(i ,j,k,nrhs,itrc)+adfac2 ad_FX(i,j)=0.0_r8 ELSE !> tl_FX(i,j)=cff* & !> & ((tl_Hz(i,j,k)+tl_Hz(i-1,j,k))* & !> & (t(i ,j,k,nrhs,itrc)- & !> & t(i-1,j,k,nrhs,itrc))+ & !> & (Hz(i,j,k)+Hz(i-1,j,k))* & !> & (tl_t(i ,j,k,nrhs,itrc)- & !> & tl_t(i-1,j,k,nrhs,itrc))) !> adfac=cff*ad_FX(i,j) adfac1=adfac*(t(i,j,k,nrhs,itrc)-t(i-1,j,k,nrhs,itrc)) adfac2=adfac*(Hz(i,j,k)+Hz(i-1,j,k)) ad_Hz(i-1,j,k)=ad_Hz(i-1,j,k)+adfac1 ad_Hz(i ,j,k)=ad_Hz(i ,j,k)+adfac1 ad_t(i-1,j,k,nrhs,itrc)=ad_t(i-1,j,k,nrhs,itrc)-adfac2 ad_t(i ,j,k,nrhs,itrc)=ad_t(i ,j,k,nrhs,itrc)+adfac2 ad_FX(i,j)=0.0_r8 END IF #else !> tl_FX(i,j)=cff* & !> & ((tl_Hz(i,j,k)+tl_Hz(i-1,j,k))* & !> & (t(i ,j,k,nrhs,itrc)- & !> & t(i-1,j,k,nrhs,itrc))+ & !> & (Hz(i,j,k)+Hz(i-1,j,k))* & !> & (tl_t(i ,j,k,nrhs,itrc)- & !> & tl_t(i-1,j,k,nrhs,itrc))) !> adfac=cff*ad_FX(i,j) adfac1=adfac*(t(i,j,k,nrhs,itrc)-t(i-1,j,k,nrhs,itrc)) adfac2=adfac*(Hz(i,j,k)+Hz(i-1,j,k)) ad_Hz(i-1,j,k)=ad_Hz(i-1,j,k)+adfac1 ad_Hz(i ,j,k)=ad_Hz(i ,j,k)+adfac1 ad_t(i-1,j,k,nrhs,itrc)=ad_t(i-1,j,k,nrhs,itrc)-adfac2 ad_t(i ,j,k,nrhs,itrc)=ad_t(i ,j,k,nrhs,itrc)+adfac2 ad_FX(i,j)=0.0_r8 #endif END DO END DO END DO END DO RETURN END SUBROUTINE ad_t3dmix2_tile