#include "cppdefs.h" MODULE tl_rhs3d_mod #if defined TANGENT && defined SOLVE3D ! !svn $Id: tl_rhs3d.F 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 evaluates tangent linear right-hand-side terms ! ! for 3D momentum and tracers equations ! ! ! ! BASIC STATE variables needed: Hz, Huon, HVom, u, v, W, uclm, vclm, ! ! sustr, svstr, bustr, bvstr ! ! ! !======================================================================= ! implicit none ! PRIVATE PUBLIC :: tl_rhs3d ! CONTAINS ! !*********************************************************************** SUBROUTINE tl_rhs3d (ng, tile) !*********************************************************************** ! USE mod_param USE mod_coupling # ifdef DIAGNOSTICS_UV USE mod_diags # endif USE mod_forces # if defined W4DVAR_SENSITIVITY && defined RPM_RELAXATION USE mod_fourdvar # endif USE mod_grid # ifdef NEARSHORE_MELLOR USE mod_mixing # endif USE mod_ocean USE mod_stepping ! USE tl_pre_step3d_mod, ONLY : tl_pre_step3d USE tl_prsgrd_mod, ONLY : tl_prsgrd # ifndef TS_FIXED # ifdef TS_DIF2 USE tl_t3dmix_mod, ONLY : tl_t3dmix2 # endif # ifdef TS_DIF4 USE tl_t3dmix_mod, ONLY : tl_t3dmix4 # endif # endif # if defined W4DVAR_SENSITIVITY && defined RPM_RELAXATION USE tl_t3drelax_mod, ONLY : tl_t3drelax USE tl_uv3drelax_mod, ONLY : tl_uv3drelax # endif # ifdef UV_VIS2 USE tl_uv3dmix_mod, ONLY : tl_uv3dmix2 # endif # ifdef UV_VIS4 USE tl_uv3dmix_mod, ONLY : tl_uv3dmix4 # endif ! ! Imported variable declarations. ! integer, intent(in) :: ng, tile ! ! Local variable declarations. ! # include "tile.h" ! !----------------------------------------------------------------------- ! Initialize computations for new time step of the 3D primitive ! variables. !----------------------------------------------------------------------- ! CALL tl_pre_step3d (ng, tile) ! !----------------------------------------------------------------------- ! Compute baroclinic pressure gradient. !----------------------------------------------------------------------- ! CALL tl_prsgrd (ng, tile) # ifndef TS_FIXED # ifdef TS_DIF2 ! !----------------------------------------------------------------------- ! Compute horizontal harmonic mixing of tracer type variables. !----------------------------------------------------------------------- ! CALL tl_t3dmix2 (ng, tile) # endif # ifdef TS_DIF4 ! !----------------------------------------------------------------------- ! Compute horizontal biharmonic mixing of tracer type variables. !----------------------------------------------------------------------- ! CALL tl_t3dmix4 (ng, tile) # endif # endif # if defined W4DVAR_SENSITIVITY && defined RPM_RELAXATION ! !----------------------------------------------------------------------- ! Improve stability and convergence of the tangent linear representer ! model tracer type variables by a "diffusive relaxation" to previous ! Picard iteration solution. !----------------------------------------------------------------------- ! IF (LweakRelax(ng)) THEN CALL tl_t3drelax (ng, tile) END IF # endif ! !----------------------------------------------------------------------- ! Compute right-hand-side terms for the 3D momentum equations. !----------------------------------------------------------------------- ! # ifdef PROFILE CALL wclock_on (ng, iTLM, 21, __LINE__, __FILE__) # endif CALL tl_rhs3d_tile (ng, tile, & & LBi, UBi, LBj, UBj, & & IminS, ImaxS, JminS, JmaxS, & & nrhs(ng), & & GRID(ng) % Hz, & & GRID(ng) % tl_Hz, & & GRID(ng) % Huon, & & GRID(ng) % tl_Huon, & & GRID(ng) % Hvom, & & GRID(ng) % tl_Hvom, & # if defined CURVGRID && defined UV_ADV & GRID(ng) % dmde, & & GRID(ng) % dndx, & # endif & GRID(ng) % fomn, & & GRID(ng) % om_u, & & GRID(ng) % om_v, & & GRID(ng) % on_u, & & GRID(ng) % on_v, & & GRID(ng) % pm, & & GRID(ng) % pn, & & FORCES(ng) % bustr, & & FORCES(ng) % tl_bustr, & & FORCES(ng) % bvstr, & & FORCES(ng) % tl_bvstr, & & FORCES(ng) % sustr, & & FORCES(ng) % tl_sustr, & & FORCES(ng) % svstr, & & FORCES(ng) % tl_svstr, & & OCEAN(ng) % u, & & OCEAN(ng) % tl_u, & & OCEAN(ng) % v, & & OCEAN(ng) % tl_v, & & OCEAN(ng) % W, & & OCEAN(ng) % tl_W, & # ifdef NEARSHORE_MELLOR & OCEAN(ng) % u_stokes, & & OCEAN(ng) % tl_u_stokes, & & OCEAN(ng) % v_stokes, & & OCEAN(ng) % tl_v_stokes, & & OCEAN(ng) % tl_rulag3d, & & OCEAN(ng) % tl_rvlag3d, & & MIXING(ng) % tl_rustr3d, & & MIXING(ng) % tl_rvstr3d, & # endif & COUPLING(ng) % tl_rufrc, & & COUPLING(ng) % tl_rvfrc, & # ifdef DIAGNOSTICS_UV !! & DIAGS(ng) % DiaRUfrc, & !! & DIAGS(ng) % DiaRVfrc, & !! & DIAGS(ng) % DiaRU, & !! & DIAGS(ng) % DiaRV, & # endif & OCEAN(ng) % tl_ru, & & OCEAN(ng) % tl_rv) # ifdef PROFILE CALL wclock_off (ng, iTLM, 21, __LINE__, __FILE__) # endif # ifdef UV_VIS2 ! !----------------------------------------------------------------------- ! Compute horizontal, harmonic mixing of momentum. !----------------------------------------------------------------------- ! CALL tl_uv3dmix2 (ng, tile) # endif # ifdef UV_VIS4 ! !----------------------------------------------------------------------- ! Compute horizontal, biharmonic mixing of momentum. !----------------------------------------------------------------------- ! CALL tl_uv3dmix4 (ng, tile) # endif # if defined W4DVAR_SENSITIVITY && defined RPM_RELAXATION ! !----------------------------------------------------------------------- ! Improve stability and convergence of the tangent linear representer ! model 3D momentum by a "diffusive relaxation" to previous Picard ! iteration solution. !----------------------------------------------------------------------- ! IF (LweakRelax(ng)) THEN CALL tl_uv3drelax (ng, tile) END IF # endif RETURN END SUBROUTINE tl_rhs3d ! !*********************************************************************** SUBROUTINE tl_rhs3d_tile (ng, tile, & & LBi, UBi, LBj, UBj, & & IminS, ImaxS, JminS, JmaxS, & & nrhs, & & Hz, tl_Hz, & & Huon, tl_Huon, & & Hvom, tl_Hvom, & # if defined CURVGRID && defined UV_ADV & dmde, dndx, & # endif & fomn, & & om_u, om_v, on_u, on_v, pm, pn, & & bustr, tl_bustr, & & bvstr, tl_bvstr, & & sustr, tl_sustr, & & svstr, tl_svstr, & & u, tl_u, & & v, tl_v, & & W, tl_W, & # ifdef NEARSHORE_MELLOR & u_stokes, tl_u_stokes, & & v_stokes, tl_v_stokes, & & tl_rulag3d, tl_rvlag3d, & & tl_rustr3d, tl_rvstr3d, & # endif & tl_rufrc, & & tl_rvfrc, & # ifdef DIAGNOSTICS_UV !! & DiaRUfrc, DiaRVfrc, & !! & DiaRU, DiaRV, & # endif & tl_ru, tl_rv) !*********************************************************************** ! USE mod_param USE mod_clima 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 ! # ifdef ASSUMED_SHAPE real(r8), intent(in) :: Hz(LBi:,LBj:,:) real(r8), intent(in) :: Huon(LBi:,LBj:,:) real(r8), intent(in) :: Hvom(LBi:,LBj:,:) # if defined CURVGRID && defined UV_ADV real(r8), intent(in) :: dmde(LBi:,LBj:) real(r8), intent(in) :: dndx(LBi:,LBj:) # endif real(r8), intent(in) :: fomn(LBi:,LBj:) real(r8), intent(in) :: om_u(LBi:,LBj:) real(r8), intent(in) :: om_v(LBi:,LBj:) real(r8), intent(in) :: on_u(LBi:,LBj:) real(r8), intent(in) :: on_v(LBi:,LBj:) real(r8), intent(in) :: pm(LBi:,LBj:) real(r8), intent(in) :: pn(LBi:,LBj:) real(r8), intent(in) :: bustr(LBi:,LBj:) real(r8), intent(in) :: bvstr(LBi:,LBj:) real(r8), intent(in) :: sustr(LBi:,LBj:) real(r8), intent(in) :: svstr(LBi:,LBj:) real(r8), intent(in) :: u(LBi:,LBj:,:,:) real(r8), intent(in) :: v(LBi:,LBj:,:,:) real(r8), intent(in) :: W(LBi:,LBj:,0:) real(r8), intent(in) :: tl_Hz(LBi:,LBj:,:) real(r8), intent(in) :: tl_Huon(LBi:,LBj:,:) real(r8), intent(in) :: tl_Hvom(LBi:,LBj:,:) real(r8), intent(in) :: tl_bustr(LBi:,LBj:) real(r8), intent(in) :: tl_bvstr(LBi:,LBj:) real(r8), intent(in) :: tl_sustr(LBi:,LBj:) real(r8), intent(in) :: tl_svstr(LBi:,LBj:) real(r8), intent(in) :: tl_u(LBi:,LBj:,:,:) real(r8), intent(in) :: tl_v(LBi:,LBj:,:,:) real(r8), intent(in) :: tl_W(LBi:,LBj:,0:) # ifdef NEARSHORE_MELLOR real(r8), intent(in) :: u_stokes(LBi:,LBj:,:) real(r8), intent(in) :: v_stokes(LBi:,LBj:,:) real(r8), intent(in) :: tl_u_stokes(LBi:,LBj:,:) real(r8), intent(in) :: tl_v_stokes(LBi:,LBj:,:) real(r8), intent(in) :: tl_rulag3d(LBi:,LBj:,:) real(r8), intent(in) :: tl_rvlag3d(LBi:,LBj:,:) real(r8), intent(in) :: tl_rustr3d(LBi:,LBj:,:) real(r8), intent(in) :: tl_rvstr3d(LBi:,LBj:,:) # endif # ifdef DIAGNOSTICS_UV !! real(r8), intent(inout) :: DiaRUfrc(LBi:,LBj:,:,:) !! real(r8), intent(inout) :: DiaRVfrc(LBi:,LBj:,:,:) !! real(r8), intent(inout) :: DiaRU(LBi:,LBj:,:,:,:) !! real(r8), intent(inout) :: DiaRV(LBi:,LBj:,:,:,:) # endif real(r8), intent(inout) :: tl_ru(LBi:,LBj:,0:,:) real(r8), intent(inout) :: tl_rv(LBi:,LBj:,0:,:) real(r8), intent(out) :: tl_rufrc(LBi:,LBj:) real(r8), intent(out) :: tl_rvfrc(LBi:,LBj:) # else real(r8), intent(in) :: Hz(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: Huon(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: Hvom(LBi:UBi,LBj:UBj,N(ng)) # if defined CURVGRID && defined UV_ADV real(r8), intent(in) :: dmde(LBi:UBi,LBj:UBj) real(r8), intent(in) :: dndx(LBi:UBi,LBj:UBj) # endif real(r8), intent(in) :: fomn(LBi:UBi,LBj:UBj) real(r8), intent(in) :: om_u(LBi:UBi,LBj:UBj) real(r8), intent(in) :: om_v(LBi:UBi,LBj:UBj) real(r8), intent(in) :: on_u(LBi:UBi,LBj:UBj) real(r8), intent(in) :: on_v(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pm(LBi:UBi,LBj:UBj) real(r8), intent(in) :: pn(LBi:UBi,LBj:UBj) real(r8), intent(in) :: bustr(LBi:UBi,LBj:UBj) real(r8), intent(in) :: bvstr(LBi:UBi,LBj:UBj) real(r8), intent(in) :: sustr(LBi:UBi,LBj:UBj) real(r8), intent(in) :: svstr(LBi:UBi,LBj:UBj) real(r8), intent(in) :: u(LBi:UBi,LBj:UBj,N(ng),2) real(r8), intent(in) :: v(LBi:UBi,LBj:UBj,N(ng),2) real(r8), intent(in) :: W(LBi:UBi,LBj:UBj,0:N(ng)) real(r8), intent(in) :: tl_Hz(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_Huon(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_Hvom(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_bustr(LBi:UBi,LBj:UBj) real(r8), intent(in) :: tl_bvstr(LBi:UBi,LBj:UBj) real(r8), intent(in) :: tl_sustr(LBi:UBi,LBj:UBj) real(r8), intent(in) :: tl_svstr(LBi:UBi,LBj:UBj) real(r8), intent(in) :: tl_u(LBi:UBi,LBj:UBj,N(ng),2) real(r8), intent(in) :: tl_v(LBi:UBi,LBj:UBj,N(ng),2) real(r8), intent(in) :: tl_W(LBi:UBi,LBj:UBj,0:N(ng)) # ifdef NEARSHORE_MELLOR real(r8), intent(in) :: u_stokes(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: v_stokes(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_u_stokes(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_v_stokes(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_rulag3d(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_rvlag3d(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_rustr3d(LBi:UBi,LBj:UBj,N(ng)) real(r8), intent(in) :: tl_rvstr3d(LBi:UBi,LBj:UBj,N(ng)) # endif # ifdef DIAGNOSTICS_UV !! real(r8), intent(inout) :: DiaRUfrc(LBi:UBi,LBj:UBj,3,NDM2d-1) !! real(r8), intent(inout) :: DiaRVfrc(LBi:UBi,LBj:UBj,3,NDM2d-1) !! real(r8), intent(inout) :: DiaRU(LBi:UBi,LBj:UBj,N(ng),2,NDrhs) !! real(r8), intent(inout) :: DiaRV(LBi:UBi,LBj:UBj,N(ng),2,NDrhs) # endif real(r8), intent(inout) :: tl_ru(LBi:UBi,LBj:UBj,0:N(ng),2) real(r8), intent(inout) :: tl_rv(LBi:UBi,LBj:UBj,0:N(ng),2) real(r8), intent(out) :: tl_rufrc(LBi:UBi,LBj:UBj) real(r8), intent(out) :: tl_rvfrc(LBi:UBi,LBj:UBj) # endif ! ! Local variable declarations. ! integer :: i, j, k real(r8), parameter :: Gadv = -0.25_r8 real(r8) :: cff, cff1, cff2, cff3, cff4 real(r8) :: tl_cff, tl_cff1, tl_cff2, tl_cff3, tl_cff4 real(r8), dimension(IminS:ImaxS,0:N(ng)) :: CF real(r8), dimension(IminS:ImaxS,0:N(ng)) :: DC real(r8), dimension(IminS:ImaxS,0:N(ng)) :: FC real(r8), dimension(IminS:ImaxS,0:N(ng)) :: tl_CF real(r8), dimension(IminS:ImaxS,0:N(ng)) :: tl_DC real(r8), dimension(IminS:ImaxS,0:N(ng)) :: tl_FC real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: Huee real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: Huxx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: Hvee real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: Hvxx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: UFx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: UFe real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: Uwrk real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: VFx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: VFe real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: Vwrk real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: uee real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: uxx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: vee real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: vxx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: wrk real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_Huee real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_Huxx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_Hvee real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_Hvxx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_UFx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_UFe real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_Uwrk real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_VFx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_VFe real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_Vwrk real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_uee real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_uxx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_vee real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_vxx real(r8), dimension(IminS:ImaxS,JminS:JmaxS) :: tl_wrk # include "set_bounds.h" # ifdef BODYFORCE ! !----------------------------------------------------------------------- ! Apply surface stress as a bodyforce: determine the thickness (m) ! of the surface layer; then add in surface stress as a bodyfoce. !----------------------------------------------------------------------- ! # ifdef DIAGNOSTICS_UV !! DO k=1,N(ng) !! DO j=Jstr,Jend !! DO i=Istr,Iend !! DiaRU(i,j,k,nrhs,M3vvis)=0.0_r8 !! DiaRV(i,j,k,nrhs,M3vvis)=0.0_r8 !! END DO !! END DO !! END DO !! DO j=Jstr,Jend !! DO i=IstrU,Iend !! DiaRUfrc(i,j,3,M2sstr)=0.0_r8 !! DiaRUfrc(i,j,3,M2bstr)=0.0_r8 !! END DO !! END DO !! DO j=JstrV,Jend !! DO i=Istr,Iend !! DiaRVfrc(i,j,3,M2sstr)=0.0_r8 !! DiaRVfrc(i,j,3,M2bstr)=0.0_r8 !! END DO !! END DO # endif DO j=JstrV-1,Jend DO i=IstrU-1,Iend wrk(i,j)=0.0_r8 tl_wrk(i,j)=0.0_r8 END DO END DO DO k=N(ng),levsfrc(ng),-1 DO j=JstrV-1,Jend DO i=IstrU-1,Iend wrk(i,j)=wrk(i,j)+Hz(i,j,k) tl_wrk(i,j)=tl_wrk(i,j)+tl_Hz(i,j,k) END DO END DO END DO DO j=Jstr,Jend DO i=IstrU,Iend cff=0.25_r8*(pm(i-1,j)+pm(i,j))* & & (pn(i-1,j)+pn(i,j)) cff1=1.0_r8/(cff*(wrk(i-1,j)+wrk(i,j))) tl_cff1=-cff1*cff1*cff*(tl_wrk(i-1,j)+tl_wrk(i,j)) Uwrk(i,j)=sustr(i,j)*cff1 tl_Uwrk(i,j)=tl_sustr(i,j)*cff1+ & & sustr(i,j)*tl_cff1 END DO END DO DO j=JstrV,Jend DO i=Istr,Iend cff=0.25*(pm(i,j-1)+pm(i,j))* & & (pn(i,j-1)+pn(i,j)) cff1=1.0_r8/(cff*(wrk(i,j-1)+wrk(i,j))) tl_cff1=-cff1*cff1*cff*(tl_wrk(i,j-1)+tl_wrk(i,j)) Vwrk(i,j)=svstr(i,j)*cff1 tl_Vwrk(i,j)=tl_svstr(i,j)*cff1+ & & svstr(i,j)*tl_cff1 END DO END DO DO k=levsfrc(ng),N(ng) DO j=Jstr,Jend DO i=IstrU,Iend !> cff=Uwrk(i,j)*(Hz(i ,j,k)+ & !> & Hz(i-1,j,k)) !> tl_cff=tl_Uwrk(i,j)*(Hz(i ,j,k)+ & & Hz(i-1,j,k))+ & & Uwrk(i,j)*(tl_Hz(i ,j,k)+ & & tl_Hz(i-1,j,k)) !> ru(i,j,k,nrhs)=ru(i,j,k,nrhs)+cff !> tl_ru(i,j,k,nrhs)=tl_ru(i,j,k,nrhs)+tl_cff # ifdef DIAGNOSTICS_UV !! DiaRU(i,j,k,nrhs,M3vvis)=DiaRU(i,j,k,nrhs,M3vvis)+cff !! DiaRUfrc(i,j,3,M2sstr)=DiaRUfrc(i,j,3,M2sstr)+cff # endif END DO END DO DO j=JstrV,Jend DO i=Istr,Iend !> cff=Vwrk(i,j)*(Hz(i,j ,k)+ & !> & Hz(i,j-1,k)) !> tl_cff=tl_Vwrk(i,j)*(Hz(i,j ,k)+ & & Hz(i,j-1,k))+ & & Vwrk(i,j)*(tl_Hz(i,j ,k)+ & & tl_Hz(i,j-1,k)) !> rv(i,j,k,nrhs)=rv(i,j,k,nrhs)+cff !> tl_rv(i,j,k,nrhs)=tl_rv(i,j,k,nrhs)+tl_cff # ifdef DIAGNOSTICS_UV !! DiaRV(i,j,k,nrhs,M3vvis)=DiaRV(i,j,k,nrhs,M3vvis)+cff !! DiaRVfrc(i,j,3,M2sstr)=DiaRVfrc(i,j,3,M2sstr)+cff # endif END DO END DO END DO ! ! Apply bottom stress as a bodyforce: determine the thickness (m) ! of the bottom layer; then add in bottom stress as a bodyfoce. ! DO j=JstrV-1,Jend DO i=IstrU-1,Iend wrk(i,j)=0.0_r8 tl_wrk(i,j)=0.0_r8 END DO END DO DO k=1,levbfrc(ng) DO j=JstrV-1,Jend DO i=IstrU-1,Iend wrk(i,j)=wrk(i,j)+Hz(i,j,k) tl_wrk(i,j)=tl_wrk(i,j)+tl_Hz(i,j,k) END DO END DO END DO DO j=Jstr,Jend DO i=IstrU,Iend cff=0.25_r8*(pm (i-1,j)+pm (i,j))* & & (pn (i-1,j)+pn (i,j)) cff1=1.0_r8/(cff*(wrk(i-1,j)+wrk(i,j))) tl_cff1=-cff1*cff1*cff*(tl_wrk(i-1,j)+tl_wrk(i,j)) Uwrk(i,j)=bustr(i,j)*cff1 tl_Uwrk(i,j)=tl_bustr(i,j)*cff1+ & & bustr(i,j)*tl_cff1 END DO END DO DO j=JstrV,Jend DO i=Istr,Iend cff=0.25_r8*(pm (i,j-1)+pm (i,j))* & & (pn (i,j-1)+pn (i,j)) cff1=1.0_r8/(cff*(wrk(i,j-1)+wrk(i,j))) tl_cff1=-cff1*cff1*cff*(tl_wrk(i,j-1)+tl_wrk(i,j)) Vwrk(i,j)=bvstr(i,j)*cff1 tl_Vwrk(i,j)=tl_bvstr(i,j)*cff1+ & & bvstr(i,j)*tl_cff1 END DO END DO DO k=1,levbfrc(ng) DO j=Jstr,Jend DO i=IstrU,Iend !> cff=Uwrk(i,j)*(Hz(i ,j,k)+ & !> & Hz(i-1,j,k)) !> tl_cff=tl_Uwrk(i,j)*(Hz(i ,j,k)+ & & Hz(i-1,j,k))+ & & Uwrk(i,j)*(tl_Hz(i ,j,k)+ & & tl_Hz(i-1,j,k)) !> ru(i,j,k,nrhs)=ru(i,j,k,nrhs)-cff !> tl_ru(i,j,k,nrhs)=tl_ru(i,j,k,nrhs)-tl_cff # ifdef DIAGNOSTICS_UV !! DiaRU(i,j,k,nrhs,M3vvis)=DiaRU(i,j,k,nrhs,M3vvis)-cff !! DiaRUfrc(i,j,3,M2bstr)=DiaRUfrc(i,j,3,M2bstr)-cff # endif END DO END DO DO j=JstrV,Jend DO i=Istr,Iend !> cff=Vwrk(i,j)*(Hz(i,j ,k)+ & !> & Hz(i,j-1,k)) !> tl_cff=tl_Vwrk(i,j)*(Hz(i,j ,k)+ & & Hz(i,j-1,k))+ & & Vwrk(i,j)*(tl_Hz(i,j ,k)+ & & tl_Hz(i,j-1,k)) !> rv(i,j,k,nrhs)=rv(i,j,k,nrhs)-cff !> tl_rv(i,j,k,nrhs)=tl_rv(i,j,k,nrhs)-tl_cff # ifdef DIAGNOSTICS_UV !! DiaRV(i,j,k,nrhs,M3vvis)=DiaRV(i,j,k,nrhs,M3vvis)-cff !! DiaRVfrc(i,j,3,M2bstr)=DiaRVfrc(i,j,3,M2bstr)-cff # endif END DO END DO END DO # endif ! K_LOOP : DO k=1,N(ng) # ifdef UV_COR ! !----------------------------------------------------------------------- ! Add in Coriolis terms. !----------------------------------------------------------------------- ! DO j=JstrV-1,Jend DO i=IstrU-1,Iend cff=0.5_r8*Hz(i,j,k)*fomn(i,j) tl_cff=0.5_r8*tl_Hz(i,j,k)*fomn(i,j) !> UFx(i,j)=cff*(v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j ,k)+ & !> & v_stokes(i,j+1,k)+ & # endif !> & v(i,j+1,k,nrhs)) !> tl_UFx(i,j)=tl_cff*(v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j ,k)+ & & v_stokes(i,j+1,k)+ & # endif & v(i,j+1,k,nrhs))+ & & cff*(tl_v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j ,k)+ & & tl_v_stokes(i,j+1,k)+ & # endif & tl_v(i,j+1,k,nrhs)) !> VFe(i,j)=cff*(u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i ,j,k)+ & !> & u_stokes(i+1,j,k)+ & # endif !> & u(i+1,j,k,nrhs)) !> tl_VFe(i,j)=tl_cff*(u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i ,j,k)+ & & u_stokes(i+1,j,k)+ & # endif & u(i+1,j,k,nrhs))+ & & cff*(tl_u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i ,j,k)+ & & tl_u_stokes(i+1,j,k)+ & # endif & tl_u(i+1,j,k,nrhs)) END DO END DO DO j=Jstr,Jend DO i=IstrU,Iend !> cff1=0.5_r8*(UFx(i,j)+UFx(i-1,j)) !> tl_cff1=0.5_r8*(tl_UFx(i,j)+tl_UFx(i-1,j)) !> ru(i,j,k,nrhs)=ru(i,j,k,nrhs)+cff1 !> tl_ru(i,j,k,nrhs)=tl_ru(i,j,k,nrhs)+tl_cff1 # ifdef DIAGNOSTICS_UV !! DiaRU(i,j,k,nrhs,M3fcor)=cff1 # endif END DO END DO DO j=JstrV,Jend DO i=Istr,Iend !> cff1=0.5_r8*(VFe(i,j)+VFe(i,j-1)) !> tl_cff1=0.5_r8*(tl_VFe(i,j)+tl_VFe(i,j-1)) !> rv(i,j,k,nrhs)=rv(i,j,k,nrhs)-cff1 !> tl_rv(i,j,k,nrhs)=tl_rv(i,j,k,nrhs)-tl_cff1 # ifdef DIAGNOSTICS_UV !! DiaRV(i,j,k,nrhs,M3fcor)=-cff1 # endif END DO END DO # endif # if defined CURVGRID && defined UV_ADV ! !----------------------------------------------------------------------- ! Add in curvilinear transformation terms. !----------------------------------------------------------------------- ! DO j=JstrV-1,Jend DO i=IstrU-1,Iend cff1=0.5_r8*(v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j ,k)+ & & v_stokes(i,j+1,k)+ & # endif & v(i,j+1,k,nrhs)) tl_cff1=0.5_r8*(tl_v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j ,k)+ & & tl_v_stokes(i,j+1,k)+ & # endif & tl_v(i,j+1,k,nrhs)) cff2=0.5_r8*(u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i ,j,k)+ & & u_stokes(i+1,j,k)+ & # endif & u(i+1,j,k,nrhs)) tl_cff2=0.5_r8*(tl_u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i ,j,k)+ & & tl_u_stokes(i+1,j,k)+ & # endif & tl_u(i+1,j,k,nrhs)) cff3=cff1*dndx(i,j) tl_cff3=tl_cff1*dndx(i,j) cff4=cff2*dmde(i,j) tl_cff4=tl_cff2*dmde(i,j) cff=Hz(i,j,k)*(cff3-cff4) tl_cff=tl_Hz(i,j,k)*(cff3-cff4)+ & & Hz(i,j,k)*(tl_cff3-tl_cff4) !> UFx(i,j)=cff*cff1 !> tl_UFx(i,j)=tl_cff*cff1+cff*tl_cff1 !> VFe(i,j)=cff*cff2 !> tl_VFe(i,j)=tl_cff*cff2+cff*tl_cff2 # if defined DIAGNOSTICS_UV !! cff=Hz(i,j,k)*cff4 !! Uwrk(i,j)=-cff*cff1 ! u equation, ETA-term !! Vwrk(i,j)=-cff*cff2 ! v equation, ETA-term # endif END DO END DO DO j=Jstr,Jend DO i=IstrU,Iend !> cff1=0.5_r8*(UFx(i,j)+UFx(i-1,j)) !> tl_cff1=0.5_r8*(tl_UFx(i,j)+tl_UFx(i-1,j)) !> ru(i,j,k,nrhs)=ru(i,j,k,nrhs)+cff1 !> tl_ru(i,j,k,nrhs)=tl_ru(i,j,k,nrhs)+tl_cff1 # ifdef DIAGNOSTICS_UV !! cff2=0.5_r8*(Uwrk(i,j)+Uwrk(i-1,j)) !! DiaRU(i,j,k,nrhs,M3xadv)=cff1-cff2 !! DiaRU(i,j,k,nrhs,M3yadv)=cff2 !! DiaRU(i,j,k,nrhs,M3hadv)=cff1 # endif END DO END DO DO j=JstrV,Jend DO i=Istr,Iend !> cff1=0.5_r8*(VFe(i,j)+VFe(i,j-1)) !> tl_cff1=0.5_r8*(tl_VFe(i,j)+tl_VFe(i,j-1)) !> rv(i,j,k,nrhs)=rv(i,j,k,nrhs)-cff1 !> tl_rv(i,j,k,nrhs)=tl_rv(i,j,k,nrhs)-tl_cff1 # ifdef DIAGNOSTICS_UV !! cff2=0.5_r8*(Vwrk(i,j)+Vwrk(i,j-1)) !! DiaRV(i,j,k,nrhs,M3xadv)=-cff1+cff2 !! DiaRV(i,j,k,nrhs,M3yadv)=-cff2 !! DiaRV(i,j,k,nrhs,M3hadv)=-cff1 # endif END DO END DO # endif ! !----------------------------------------------------------------------- ! Add in nudging of 3D momentum climatology. !----------------------------------------------------------------------- ! IF (LnudgeM3CLM(ng)) THEN DO j=Jstr,Jend DO i=IstrU,Iend cff=0.25_r8*(CLIMA(ng)%M3nudgcof(i-1,j,k)+ & & CLIMA(ng)%M3nudgcof(i ,j,k))* & & om_u(i,j)*on_u(i,j) !> ru(i,j,k,nrhs)=ru(i,j,k,nrhs)+ & !> & cff*(Hz(i-1,j,k)+Hz(i,j,k))* & !> & (CLIMA(ng)%uclm(i,j,k)- & !> & u(i,j,k,nrhs)) !> tl_ru(i,j,k,nrhs)=tl_ru(i,j,k,nrhs)+ & & cff*((Hz(i-1,j,k)+Hz(i,j,k))* & & (-tl_u(i,j,k,nrhs))+ & & (tl_Hz(i-1,j,k)+tl_Hz(i,j,k))* & & (CLIMA(ng)%uclm(i,j,k)- & & u(i,j,k,nrhs))) END DO END DO DO j=JstrV,Jend DO i=Istr,Iend cff=0.25_r8*(CLIMA(ng)%M3nudgcof(i,j-1,k)+ & & CLIMA(ng)%M3nudgcof(i,j ,k))* & & om_v(i,j)*on_v(i,j) !> rv(i,j,k,nrhs)=rv(i,j,k,nrhs)+ & !> & cff*(Hz(i,j-1,k)+Hz(i,j,k))* & !> & (CLIMA(ng)%vclm(i,j,k)- & !> & v(i,j,k,nrhs)) !> tl_rv(i,j,k,nrhs)=tl_rv(i,j,k,nrhs)+ & & cff*((Hz(i,j-1,k)+Hz(i,j,k))* & & (-tl_v(i,j,k,nrhs))+ & & (tl_Hz(i,j-1,k)+tl_Hz(i,j,k))* & & (CLIMA(ng)%vclm(i,j,k)- & & v(i,j,k,nrhs))) END DO END DO END IF # ifdef UV_ADV ! !----------------------------------------------------------------------- ! Add in horizontal advection of momentum. !----------------------------------------------------------------------- ! ! Compute diagonal [UFx,VFe] and off-diagonal [UFe,VFx] components ! of tensor of momentum flux due to horizontal advection. ! # ifdef UV_C2ADVECTION ! ! Second-order, centered differences advection. ! DO j=Jstr,Jend DO i=IstrU-1,Iend !> UFx(i,j)=0.25_r8*(u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i ,j,k)+ & !> & u_stokes(i+1,j,k)+ & # endif !> & u(i+1,j,k,nrhs))* & !> & (Huon(i ,j,k)+ & !> & Huon(i+1,j,k)) !> tl_UFx(i,j)=0.25_r8* & & ((tl_u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i ,j,k)+ & & tl_u_stokes(i+1,j,k)+ & # endif & tl_u(i+1,j,k,nrhs))* & & (Huon(i ,j,k)+ & & Huon(i+1,j,k))+ & & (u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i ,j,k)+ & & u_stokes(i+1,j,k)+ & # endif & u(i+1,j,k,nrhs))* & & (tl_Huon(i ,j,k)+ & & tl_Huon(i+1,j,k))) END DO END DO DO j=Jstr,Jend+1 DO i=IstrU,Iend !> UFe(i,j)=0.25_r8*(u(i,j-1,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j-1,k)+ & !> & u_stokes(i,j ,k)+ & # endif !> & u(i,j ,k,nrhs))* & !> & (Hvom(i-1,j,k)+ & !> & Hvom(i ,j,k)) !> tl_UFe(i,j)=0.25_r8* & & ((tl_u(i,j-1,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j-1,k)+ & & tl_u_stokes(i,j ,k)+ & # endif & tl_u(i,j ,k,nrhs))* & & (Hvom(i-1,j,k)+ & & Hvom(i ,j,k))+ & & (u(i,j-1,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j-1,k)+ & & u_stokes(i,j ,k)+ & # endif & u(i,j ,k,nrhs))* & & (tl_Hvom(i-1,j,k)+ & & tl_Hvom(i ,j,k))) END DO END DO DO j=JstrV,Jend DO i=Istr,Iend+1 !> VFx(i,j)=0.25_r8*(v(i-1,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i-1,j,k)+ & !> & v_stokes(i ,j,k)+ & # endif !> & v(i ,j,k,nrhs))* & !> & (Huon(i,j-1,k)+ & !> Huon(i,j ,k)) !> tl_VFx(i,j)=0.25_r8* & & ((tl_v(i-1,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i-1,j,k)+ & & tl_v_stokes(i ,j,k)+ & # endif & tl_v(i ,j,k,nrhs))* & & (Huon(i,j-1,k)+ & & Huon(i,j ,k))+ & & (v(i-1,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i-1,j,k)+ & & v_stokes(i ,j,k)+ & # endif & v(i ,j,k,nrhs))* & & (tl_Huon(i,j-1,k)+ & & tl_Huon(i,j ,k))) END DO END DO DO j=JstrV-1,Jend DO i=Istr,Iend !> VFe(i,j)=0.25_r8*(v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j ,k)+ & !> & v_stokes(i,j+1,k)+ & # endif !> & v(i,j+1,k,nrhs))* & !> & (Hvom(i,j ,k)+ & !> & Hvom(i,j+1,k)) !> tl_VFe(i,j)=0.25_r8* & & ((tl_v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j ,k)+ & & tl_v_stokes(i,j+1,k)+ & # endif & tl_v(i,j+1,k,nrhs))* & & (Hvom(i,j ,k)+ & & Hvom(i,j+1,k))+ & & (v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j ,k)+ & & v_stokes(i,j+1,k)+ & # endif & v(i,j+1,k,nrhs))* & & (tl_Hvom(i,j ,k)+ & & tl_Hvom(i,j+1,k))) END DO END DO # else DO j=Jstr,Jend DO i=IstrUm1,Iendp1 uxx(i,j)=u(i-1,j,k,nrhs)-2.0_r8*u(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i-1,j,k)-2.0_r8*u_stokes(i,j,k)+ & & u_stokes(i+1,j,k)+ & # endif & u(i+1,j,k,nrhs) tl_uxx(i,j)=tl_u(i-1,j,k,nrhs)-2.0_r8*tl_u(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i-1,j,k)-2.0_r8*tl_u_stokes(i,j,k)+ & & tl_u_stokes(i+1,j,k)+ & # endif & tl_u(i+1,j,k,nrhs) Huxx(i,j)=Huon(i-1,j,k)-2.0_r8*Huon(i,j,k)+Huon(i+1,j,k) tl_Huxx(i,j)=tl_Huon(i-1,j,k)-2.0_r8*tl_Huon(i,j,k)+ & & tl_Huon(i+1,j,k) END DO END DO IF (.not.(CompositeGrid(iwest,ng).or.EWperiodic(ng))) THEN IF (DOMAIN(ng)%Western_Edge(tile)) THEN DO j=Jstr,Jend uxx (Istr,j)=uxx (Istr+1,j) tl_uxx (Istr,j)=tl_uxx (Istr+1,j) Huxx(Istr,j)=Huxx(Istr+1,j) tl_Huxx(Istr,j)=tl_Huxx(Istr+1,j) END DO END IF END IF IF (.not.(CompositeGrid(ieast,ng).or.EWperiodic(ng))) THEN IF (DOMAIN(ng)%Eastern_Edge(tile)) THEN DO j=Jstr,Jend uxx (Iend+1,j)=uxx (Iend,j) tl_uxx (Iend+1,j)=tl_uxx (Iend,j) Huxx(Iend+1,j)=Huxx(Iend,j) tl_Huxx(Iend+1,j)=tl_Huxx(Iend,j) END DO END IF END IF # ifdef UV_C4ADVECTION ! ! Fourth-order, centered differences u-momentum horizontal advection. ! cff=1.0_r8/6.0_r8 DO j=Jstr,Jend DO i=IstrU-1,Iend !> UFx(i,j)=0.25_r8*(u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i ,j,k)+ & !> & u_stokes(i+1,j,k)+ & # endif !> & u(i+1,j,k,nrhs)- & !> & cff*(uxx (i ,j)+ & !> & uxx (i+1,j)))* & !> & (Huon(i ,j,k)+ & !> & Huon(i+1,j,k)- & !> & cff*(Huxx(i ,j)+ & !> & Huxx(i+1,j))) !> tl_UFx(i,j)=0.25_r8*((tl_u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i ,j,k)+ & & tl_u_stokes(i+1,j,k)+ & # endif & tl_u(i+1,j,k,nrhs)- & & cff*(tl_uxx (i ,j)+ & & tl_uxx (i+1,j)))* & & (Huon(i ,j,k)+ & & Huon(i+1,j,k)- & & cff*(Huxx(i ,j)+ & & Huxx(i+1,j)))+ & & (u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i ,j,k)+ & & u_stokes(i+1,j,k)+ & # endif & u(i+1,j,k,nrhs)- & & cff*(uxx (i ,j)+ & & uxx (i+1,j)))* & & (tl_Huon(i ,j,k)+ & & tl_Huon(i+1,j,k)- & & cff*(tl_Huxx(i ,j)+ & & tl_Huxx(i+1,j)))) END DO END DO # else ! ! Third-order, upstream bias u-momentum advection with velocity ! dependent hyperdiffusion. ! DO j=Jstr,Jend DO i=IstrU-1,Iend cff1=u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i ,j,k)+ & & u_stokes(i+1,j,k)+ & # endif & u(i+1,j,k,nrhs) tl_cff1=tl_u(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i ,j,k)+ & & tl_u_stokes(i+1,j,k)+ & # endif & tl_u(i+1,j,k,nrhs) IF (cff1.gt.0.0_r8) THEN cff=uxx(i,j) tl_cff=tl_uxx(i,j) ELSE cff=uxx(i+1,j) tl_cff=tl_uxx(i+1,j) END IF !> UFx(i,j)=0.25_r8*(cff1+Gadv*cff)* & !> & (Huon(i ,j,k)+ & !> & Huon(i+1,j,k)+ & !> & Gadv*0.5_r8*(Huxx(i ,j)+ & !> & Huxx(i+1,j))) !> tl_UFx(i,j)=0.25_r8* & & ((tl_cff1+Gadv*tl_cff)* & & (Huon(i ,j,k)+ & & Huon(i+1,j,k)+ & & Gadv*0.5_r8*(Huxx(i ,j)+ & & Huxx(i+1,j)))+ & & (cff1+Gadv*cff)* & & (tl_Huon(i ,j,k)+ & & tl_Huon(i+1,j,k)+ & & Gadv*0.5_r8*(tl_Huxx(i ,j)+ & & tl_Huxx(i+1,j)))) END DO END DO # endif DO j=Jstrm1,Jendp1 DO i=IstrU,Iend uee(i,j)=u(i,j-1,k,nrhs)-2.0_r8*u(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j-1,k)-2.0_r8*u_stokes(i,j,k)+ & & u_stokes(i,j+1,k)+ & # endif & u(i,j+1,k,nrhs) tl_uee(i,j)=tl_u(i,j-1,k,nrhs)-2.0_r8*tl_u(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j-1,k)-2.0_r8*tl_u_stokes(i,j,k)+ & & tl_u_stokes(i,j+1,k)+ & # endif & tl_u(i,j+1,k,nrhs) END DO END DO IF (.not.(CompositeGrid(isouth,ng).or.NSperiodic(ng))) THEN IF (DOMAIN(ng)%Southern_Edge(tile)) THEN DO i=IstrU,Iend uee(i,Jstr-1)=uee(i,Jstr) tl_uee(i,Jstr-1)=tl_uee(i,Jstr) END DO END IF END IF IF (.not.(CompositeGrid(inorth,ng).or.NSperiodic(ng))) THEN IF (DOMAIN(ng)%Northern_Edge(tile)) THEN DO i=IstrU,Iend uee(i,Jend+1)=uee(i,Jend) tl_uee(i,Jend+1)=tl_uee(i,Jend) END DO END IF END IF DO j=Jstr,Jend+1 DO i=IstrU-1,Iend Hvxx(i,j)=Hvom(i-1,j,k)-2.0_r8*Hvom(i,j,k)+Hvom(i+1,j,k) tl_Hvxx(i,j)=tl_Hvom(i-1,j,k)-2.0_r8*tl_Hvom(i,j,k)+ & & tl_Hvom(i+1,j,k) END DO END DO # ifdef UV_C4ADVECTION cff=1.0_r8/6.0_r8 DO j=Jstr,Jend+1 DO i=IstrU,Iend !> UFe(i,j)=0.25_r8*(u(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j ,k)+ & !> & u_stokes(i,j-1,k)+ & # endif !> & u(i,j-1,k,nrhs)- & !> & cff*(uee (i,j )+ & !> & uee (i,j-1)))* & !> & (Hvom(i ,j,k)+ & !> & Hvom(i-1,j,k)- & !> & cff*(Hvxx(i ,j)+ & !> & Hvxx(i-1,j))) !> tl_UFe(i,j)=0.25_r8*((tl_u(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j ,k)+ & & tl_u_stokes(i,j-1,k)+ & # endif & tl_u(i,j-1,k,nrhs)- & & cff*(tl_uee (i,j )+ & & tl_uee (i,j-1)))* & & (Hvom(i ,j,k)+ & & Hvom(i-1,j,k)- & & cff*(Hvxx(i ,j)+ & & Hvxx(i-1,j)))+ & & (u(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j ,k)+ & & u_stokes(i,j-1,k)+ & # endif & u(i,j-1,k,nrhs)- & & cff*(uee (i,j )+ & & uee (i,j-1)))* & & (tl_Hvom(i ,j,k)+ & & tl_Hvom(i-1,j,k)- & & cff*(tl_Hvxx(i ,j)+ & & tl_Hvxx(i-1,j)))) END DO END DO # else DO j=Jstr,Jend+1 DO i=IstrU,Iend cff1=u(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j ,k)+ & & u_stokes(i,j-1,k)+ & # endif & u(i,j-1,k,nrhs) tl_cff1=tl_u(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j ,k)+ & & tl_u_stokes(i,j-1,k)+ & # endif & tl_u(i,j-1,k,nrhs) cff2=Hvom(i,j,k)+Hvom(i-1,j,k) tl_cff2=tl_Hvom(i,j,k)+tl_Hvom(i-1,j,k) IF (cff2.gt.0.0_r8) THEN cff=uee(i,j-1) tl_cff=tl_uee(i,j-1) ELSE cff=uee(i,j) tl_cff=tl_uee(i,j) END IF !> UFe(i,j)=0.25_r8*(cff1+Gadv*cff)* & !> & (cff2+Gadv*0.5_r8*(Hvxx(i ,j)+ & !> & Hvxx(i-1,j))) !> tl_UFe(i,j)=0.25_r8* & & ((tl_cff1+Gadv*tl_cff)* & & (cff2+Gadv*0.5_r8*(Hvxx(i ,j)+ & & Hvxx(i-1,j)))+ & & (cff1+Gadv*cff)* & & (tl_cff2+Gadv*0.5_r8*(tl_Hvxx(i ,j)+ & & tl_Hvxx(i-1,j)))) END DO END DO # endif DO j=JstrV,Jend DO i=Istrm1,Iendp1 vxx(i,j)=v(i-1,j,k,nrhs)-2.0_r8*v(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i-1,j,k)-2.0_r8*v_stokes(i,j,k)+ & & v_stokes(i+1,j,k)+ & # endif & v(i+1,j,k,nrhs) tl_vxx(i,j)=tl_v(i-1,j,k,nrhs)-2.0_r8*tl_v(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i-1,j,k)-2.0_r8*tl_v_stokes(i,j,k)+ & & tl_v_stokes(i+1,j,k)+ & # endif & tl_v(i+1,j,k,nrhs) END DO END DO IF (.not.(CompositeGrid(iwest,ng).or.EWperiodic(ng))) THEN IF (DOMAIN(ng)%Western_Edge(tile)) THEN DO j=JstrV,Jend vxx(Istr-1,j)=vxx(Istr,j) tl_vxx(Istr-1,j)=tl_vxx(Istr,j) END DO END IF END IF IF (.not.(CompositeGrid(ieast,ng).or.EWperiodic(ng))) THEN IF (DOMAIN(ng)%Eastern_Edge(tile)) THEN DO j=JstrV,Jend vxx(Iend+1,j)=vxx(Iend,j) tl_vxx(Iend+1,j)=tl_vxx(Iend,j) END DO END IF END IF DO j=JstrV-1,Jend DO i=Istr,Iend+1 Huee(i,j)=Huon(i,j-1,k)-2.0_r8*Huon(i,j,k)+Huon(i,j+1,k) tl_Huee(i,j)=tl_Huon(i,j-1,k)-2.0_r8*tl_Huon(i,j,k)+ & & tl_Huon(i,j+1,k) END DO END DO # ifdef UV_C4ADVECTION ! ! Fourth-order, centered differences v-momentum horizontal advection. ! cff=1.0_r8/6.0_r8 DO j=JstrV,Jend DO i=Istr,Iend+1 !> VFx(i,j)=0.25_r8*(v(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i ,j,k)+ & !> & v_stokes(i-1,j,k)+ & # endif !> & v(i-1,j,k,nrhs)- & !> & cff*(vxx (i ,j)+ & !> & vxx (i-1,j)))* & !> & (Huon(i,j ,k)+ & !> & Huon(i,j-1,k)- & !> & cff*(Huee(i,j )+ & !> & Huee(i,j-1))) !> tl_VFx(i,j)=0.25_r8*((tl_v(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i ,j,k)+ & & tl_v_stokes(i-1,j,k)+ & # endif & tl_v(i-1,j,k,nrhs)- & & cff*(tl_vxx (i ,j)+ & & tl_vxx (i-1,j)))* & & (Huon(i,j ,k)+ & & Huon(i,j-1,k)- & & cff*(Huee(i,j )+ & & Huee(i,j-1)))+ & & (v(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i ,j,k)+ & & v_stokes(i-1,j,k)+ & # endif & v(i-1,j,k,nrhs)- & & cff*(vxx (i ,j)+ & & vxx (i-1,j)))* & & (tl_Huon(i,j ,k)+ & & tl_Huon(i,j-1,k)- & & cff*(tl_Huee(i,j )+ & & tl_Huee(i,j-1)))) END DO END DO # else ! ! Third-order, upstream bias v-momentum advection with velocity ! dependent hyperdiffusion. ! DO j=JstrV,Jend DO i=Istr,Iend+1 cff1=v(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i ,j,k)+ & & v_stokes(i-1,j,k)+ & # endif & v(i-1,j,k,nrhs) tl_cff1=tl_v(i ,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i ,j,k)+ & & tl_v_stokes(i-1,j,k)+ & # endif & tl_v(i-1,j,k,nrhs) cff2=Huon(i,j,k)+Huon(i,j-1,k) tl_cff2=tl_Huon(i,j,k)+tl_Huon(i,j-1,k) IF (cff2.gt.0.0_r8) THEN cff=vxx(i-1,j) tl_cff=tl_vxx(i-1,j) ELSE cff=vxx(i,j) tl_cff=tl_vxx(i,j) END IF !> VFx(i,j)=0.25_r8*(cff1+Gadv*cff)* & !> & (cff2+Gadv*0.5_r8*(Huee(i,j )+ & !> & Huee(i,j-1))) !> tl_VFx(i,j)=0.25_r8* & & ((tl_cff1+Gadv*tl_cff)* & & (cff2+Gadv*0.5_r8*(Huee(i,j )+ & & Huee(i,j-1)))+ & & (cff1+Gadv*cff)* & & (tl_cff2+Gadv*0.5_r8*(tl_Huee(i,j )+ & & tl_Huee(i,j-1)))) END DO END DO # endif DO j=JstrVm1,Jendp1 DO i=Istr,Iend vee(i,j)=v(i,j-1,k,nrhs)-2.0_r8*v(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j-1,k)-2.0_r8*v_stokes(i,j,k)+ & & v_stokes(i,j+1,k)+ & # endif & v(i,j+1,k,nrhs) tl_vee(i,j)=tl_v(i,j-1,k,nrhs)-2.0_r8*tl_v(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j-1,k)-2.0_r8*tl_v_stokes(i,j,k)+ & & tl_v_stokes(i,j+1,k)+ & # endif & tl_v(i,j+1,k,nrhs) Hvee(i,j)=Hvom(i,j-1,k)-2.0_r8*Hvom(i,j,k)+Hvom(i,j+1,k) tl_Hvee(i,j)=tl_Hvom(i,j-1,k)-2.0_r8*tl_Hvom(i,j,k)+ & & tl_Hvom(i,j+1,k) END DO END DO IF (.not.(CompositeGrid(isouth,ng).or.NSperiodic(ng))) THEN IF (DOMAIN(ng)%Southern_Edge(tile)) THEN DO i=Istr,Iend vee (i,Jstr)=vee (i,Jstr+1) tl_vee (i,Jstr)=tl_vee (i,Jstr+1) Hvee(i,Jstr)=Hvee(i,Jstr+1) tl_Hvee(i,Jstr)=tl_Hvee(i,Jstr+1) END DO END IF END IF IF (.not.(CompositeGrid(inorth,ng).or.NSperiodic(ng))) THEN IF (DOMAIN(ng)%Northern_Edge(tile)) THEN DO i=Istr,Iend vee (i,Jend+1)=vee (i,Jend) tl_vee (i,Jend+1)=tl_vee (i,Jend) Hvee(i,Jend+1)=Hvee(i,Jend) tl_Hvee(i,Jend+1)=tl_Hvee(i,Jend) END DO END IF END IF # ifdef UV_C4ADVECTION cff=1.0_r8/6.0_r8 DO j=JstrV-1,Jend DO i=Istr,Iend !> VFe(i,j)=0.25_r8*(v(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j ,k)+ & !> & v_stokes(i,j+1,k)+ & # endif !> & v(i,j+1,k,nrhs)- & !> & cff*(vee (i,j )+ & !> & vee (i,j+1)))* & !> & (Hvom(i,j ,k)+ & !> & Hvom(i,j+1,k)- & !> & cff*(Hvee(i,j )+ & !> & Hvee(i,j+1))) !> tl_VFe(i,j)=0.25_r8*((tl_v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j ,k)+ & & tl_v_stokes(i,j+1,k)+ & # endif & tl_v(i,j+1,k,nrhs)- & & cff*(tl_vee (i,j )+ & & tl_vee (i,j+1)))* & & (Hvom(i,j ,k)+ & & Hvom(i,j+1,k)- & & cff*(Hvee(i,j )+ & & Hvee(i,j+1)))+ & & (v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j ,k)+ & & v_stokes(i,j+1,k)+ & # endif & v(i,j+1,k,nrhs)- & & cff*(vee (i,j )+ & & vee (i,j+1)))* & & (tl_Hvom(i,j ,k)+ & & tl_Hvom(i,j+1,k)- & & cff*(tl_Hvee(i,j )+ & & tl_Hvee(i,j+1)))) END DO END DO # else DO j=JstrV-1,Jend DO i=Istr,Iend cff1=v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j ,k)+ & & v_stokes(i,j+1,k)+ & # endif & v(i,j+1,k,nrhs) tl_cff1=tl_v(i,j ,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j ,k)+ & & tl_v_stokes(i,j+1,k)+ & # endif & tl_v(i,j+1,k,nrhs) IF (cff1.gt.0.0_r8) THEN cff=vee(i,j) tl_cff=tl_vee(i,j) ELSE cff=vee(i,j+1) tl_cff=tl_vee(i,j+1) END IF !> VFe(i,j)=0.25_r8*(cff1+Gadv*cff)* & !> & (Hvom(i,j ,k)+ & !> & Hvom(i,j+1,k)+ & !> & Gadv*0.5_r8*(Hvee(i,j )+ & !> & Hvee(i,j+1))) !> tl_VFe(i,j)=0.25_r8* & & ((tl_cff1+Gadv*tl_cff)* & & (Hvom(i,j ,k)+ & & Hvom(i,j+1,k)+ & & Gadv*0.5_r8*(Hvee(i,j )+ & & Hvee(i,j+1)))+ & & (cff1+Gadv*cff)* & & (tl_Hvom(i,j ,k)+ & & tl_Hvom(i,j+1,k)+ & & Gadv*0.5_r8*(tl_Hvee(i,j )+ & & tl_Hvee(i,j+1)))) END DO END DO # endif # endif ! ! Add in horizontal advection. ! DO j=Jstr,Jend DO i=IstrU,Iend !> cff1=UFx(i,j)-UFx(i-1,j) !> tl_cff1=tl_UFx(i,j)-tl_UFx(i-1,j) !> cff2=UFe(i,j+1)-UFe(i,j) !> tl_cff2=tl_UFe(i,j+1)-tl_UFe(i,j) !> cff=cff1+cff2 !> tl_cff=tl_cff1+tl_cff2 !> ru(i,j,k,nrhs)=ru(i,j,k,nrhs)-cff !> tl_ru(i,j,k,nrhs)=tl_ru(i,j,k,nrhs)-tl_cff # ifdef DIAGNOSTICS_UV # ifdef CURVGRID !! DiaRU(i,j,k,nrhs,M3xadv)=DiaRU(i,j,k,nrhs,M3xadv)-cff1 !! DiaRU(i,j,k,nrhs,M3yadv)=DiaRU(i,j,k,nrhs,M3yadv)-cff2 !! DiaRU(i,j,k,nrhs,M3hadv)=DiaRU(i,j,k,nrhs,M3hadv)-cff # else !! DiaRU(i,j,k,nrhs,M3xadv)=-cff1 !! DiaRU(i,j,k,nrhs,M3yadv)=-cff2 !! DiaRU(i,j,k,nrhs,M3hadv)=-cff # endif # endif END DO END DO DO j=JstrV,Jend DO i=Istr,Iend !> cff1=VFx(i+1,j)-VFx(i,j) !> tl_cff1=tl_VFx(i+1,j)-tl_VFx(i,j) !> cff2=VFe(i,j)-VFe(i,j-1) !> tl_cff2=tl_VFe(i,j)-tl_VFe(i,j-1) !> cff=cff1+cff2 !> tl_cff=tl_cff1+tl_cff2 !> rv(i,j,k,nrhs)=rv(i,j,k,nrhs)-cff !> tl_rv(i,j,k,nrhs)=tl_rv(i,j,k,nrhs)-tl_cff # ifdef DIAGNOSTICS_UV # ifdef CURVGRID !! DiaRV(i,j,k,nrhs,M3xadv)=DiaRV(i,j,k,nrhs,M3xadv)-cff1 !! DiaRV(i,j,k,nrhs,M3yadv)=DiaRV(i,j,k,nrhs,M3yadv)-cff2 !! DiaRV(i,j,k,nrhs,M3hadv)=DiaRV(i,j,k,nrhs,M3hadv)-cff # else !! DiaRV(i,j,k,nrhs,M3xadv)=-cff1 !! DiaRV(i,j,k,nrhs,M3yadv)=-cff2 !! DiaRV(i,j,k,nrhs,M3hadv)=-cff # endif # endif END DO END DO # endif # ifdef NEARSHORE_MELLOR ! !----------------------------------------------------------------------- ! Add in radiation stress terms. Convert stresses to m4/s2. !----------------------------------------------------------------------- ! DO j=Jstr,Jend DO i=IstrU,Iend !> ru(i,j,k,nrhs)=ru(i,j,k,nrhs)- & !> & rustr3d(i,j,k)*om_u(i,j)*on_u(i,j)- & !> & rulag3d(i,j,k) !> tl_ru(i,j,k,nrhs)=tl_ru(i,j,k,nrhs)- & & tl_rustr3d(i,j,k)*om_u(i,j)*on_u(i,j)- & & tl_rulag3d(i,j,k) END DO END DO DO j=JstrV,Jend DO i=Istr,Iend !> rv(i,j,k,nrhs)=rv(i,j,k,nrhs)- & !> & rvstr3d(i,j,k)*om_v(i,j)*on_v(i,j)- & !> & rvlag3d(i,j,k) !> tl_rv(i,j,k,nrhs)=tl_rv(i,j,k,nrhs)- & & tl_rvstr3d(i,j,k)*om_v(i,j)*on_v(i,j)- & & tl_rvlag3d(i,j,k) END DO END DO # endif END DO K_LOOP ! J_LOOP : DO j=Jstr,Jend # ifdef UV_ADV ! !----------------------------------------------------------------------- ! Add in vertical advection. !----------------------------------------------------------------------- ! # ifdef UV_SADVECTION ! ! Apply spline code to BASIC STATE u-momentum which should be in ! units of m/s. CF will be used by the tangent linear spline code. ! cff1=9.0_r8/16.0_r8 cff2=1.0_r8/16.0_r8 DO k=1,N(ng) DO i=IstrU,Iend DC(i,k)=cff1*(Hz(i ,j,k)+ & & Hz(i-1,j,k))- & & cff2*(Hz(i+1,j,k)+ & & Hz(i-2,j,k)) END DO END DO DO i=IstrU,Iend FC(i,0)=0.0_r8 CF(i,0)=0.0_r8 END DO DO k=1,N(ng)-1 DO i=IstrU,Iend cff=1.0_r8/(2.0_r8*DC(i,k+1)+DC(i,k)*(2.0_r8-FC(i,k-1))) FC(i,k)=cff*DC(i,k+1) CF(i,k)=cff*(6.0_r8*(u(i,j,k+1,nrhs)- & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,k )+ & & u_stokes(i,j,k+1)- & # endif & u(i,j,k ,nrhs))- & & DC(i,k)*CF(i,k-1)) END DO END DO DO i=IstrU,Iend CF(i,N(ng))=0.0_r8 END DO DO k=N(ng)-1,1,-1 DO i=IstrU,Iend CF(i,k)=CF(i,k)-FC(i,k)*CF(i,k+1) END DO END DO ! ! Construct tangent linear conservative parabolic splines for the ! vertical derivatives "tl_CF" of u-momentum. ! cff1=9.0_r8/16.0_r8 cff2=1.0_r8/16.0_r8 DO k=1,N(ng) DO i=IstrU,Iend DC(i,k)=cff1*(Hz(i ,j,k)+ & & Hz(i-1,j,k))- & & cff2*(Hz(i+1,j,k)+ & & Hz(i-2,j,k)) tl_DC(i,k)=cff1*(tl_Hz(i ,j,k)+ & & tl_Hz(i-1,j,k))- & & cff2*(tl_Hz(i+1,j,k)+ & & tl_Hz(i-2,j,k)) END DO END DO DO i=IstrU,Iend FC(i,0)=0.0_r8 tl_CF(i,0)=0.0_r8 END DO DO k=1,N(ng)-1 DO i=IstrU,Iend cff=1.0_r8/(2.0_r8*DC(i,k+1)+DC(i,k)*(2.0_r8-FC(i,k-1))) FC(i,k)=cff*DC(i,k+1) tl_CF(i,k)=cff*(6.0_r8*(tl_u(i,j,k+1,nrhs)- & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,k )+ & & tl_u_stokes(i,j,k+1)- & # endif & tl_u(i,j,k ,nrhs))- & & (tl_DC(i,k)*CF(i,k-1)+ & & 2.0_r8*(tl_DC(i,k)+tl_DC(i,k+1))*CF(i,k)+ & & tl_DC(i,k+1)*CF(i,k+1))- & & DC(i,k)*tl_CF(i,k-1)) END DO END DO DO i=IstrU,Iend tl_CF(i,N(ng))=0.0_r8 END DO DO k=N(ng)-1,1,-1 DO i=IstrU,Iend tl_CF(i,k)=tl_CF(i,k)-FC(i,k)*tl_CF(i,k+1) END DO END DO ! ! Compute spline-interpolated, vertical advective u-momentum flux. ! cff3=1.0_r8/3.0_r8 cff4=1.0_r8/6.0_r8 DO k=1,N(ng)-1 DO i=IstrU,Iend !> FC(i,k)=(cff1*(W(i ,j,k)+ & !> & W(i-1,j,k))- & !> & cff2*(W(i+1,j,k)+ & !> & W(i-2,j,k)))* & !> & (u(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,k)+ & # endif !> & DC(i,k)*(cff3*CF(i,k )+ & !> & cff4*CF(i,k-1))) !> tl_FC(i,k)=(cff1*(tl_W(i ,j,k)+ & & tl_W(i-1,j,k))- & & cff2*(tl_W(i+1,j,k)+ & & tl_W(i-2,j,k)))* & & (u(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,k)+ & # endif & DC(i,k)*(cff3*CF(i,k )+ & & cff4*CF(i,k-1)))+ & & (cff1*(W(i ,j,k)+ & & W(i-1,j,k))- & & cff2*(W(i+1,j,k)+ & & W(i-2,j,k)))* & & (tl_u(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,k)+ & # endif & DC(i,k)*(cff3*tl_CF(i,k )+ & & cff4*tl_CF(i,k-1))+ & & tl_DC(i,k)*(cff3*CF(i,k )+ & & cff4*CF(i,k-1))) END DO END DO DO i=IstrU,Iend !> FC(i,N(ng))=0.0_r8 !> tl_FC(i,N(ng))=0.0_r8 !> FC(i,0)=0.0_r8 !> tl_FC(i,0)=0.0_r8 END DO # elif defined UV_C2ADVECTION DO k=1,N(ng)-1 DO i=IstrU,Iend !> FC(i,k)=0.25_r8*(u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,k )+ & !> & u_stokes(i,j,k+1)+ & # endif !> & u(i,j,k+1,nrhs))* & !> & (W(i ,j,k)+ & !> & W(i-1,j,k)) !> tl_FC(i,k)=0.25_r8*((tl_u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,k )+ & & tl_u_stokes(i,j,k+1)+ & # endif & tl_u(i,j,k+1,nrhs))* & & (W(i ,j,k)+ & & W(i-1,j,k))+ & & (u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,k )+ & & u_stokes(i,j,k+1)+ & # endif & u(i,j,k+1,nrhs))* & & (tl_W(i ,j,k)+ & & tl_W(i-1,j,k))) END DO END DO DO i=IstrU,Iend # ifdef SED_MORPH # ifdef NEARSHORE_MELLOR !> FC(i,0)=0.5_r8*(u(i,j,1,nrhs)+u_stokes(i,j,1))* & !> & (W(i ,j,0)+ & !> & W(i-1,j,0)) !> tl_FC(i,0)=0.5_r8* & ((tl_u(i,j,1,nrhs)+tl_u_stokes(i,j,1))* & & (W(i ,j,0)+ & & W(i-1,j,0))+ & & (u(i,j,1,nrhs)+u_stokes(i,j,1))* & & (tl_W(i ,j,0)+ & & tl_W(i-1,j,0))) # else !> FC(i,0)=0.5_r8*u(i,j,1,nrhs)* & !> & (W(i ,j,0)+ & !> & W(i-1,j,0)) !> tl_FC(i,0)=0.5_r8* & & (tl_u(i,j,1,nrhs)* & & (W(i ,j,0)+ & & W(i-1,j,0))+ & & u(i,j,1,nrhs)* & & (tl_W(i ,j,0)+ & & tl_W(i-1,j,0))) # endif # else !> FC(i,0)=0.0_r8 !> tl_FC(i,0)=0.0_r8 # endif !> FC(i,N(ng))=0.0_r8 !> tl_FC(i,N(ng))=0.0_r8 END DO # elif defined UV_C4ADVECTION cff1=9.0_r8/32.0_r8 cff2=1.0_r8/32.0_r8 DO k=2,N(ng)-2 DO i=IstrU,Iend !> FC(i,k)=(cff1*(u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,k )+ & !> & u_stokes(i,j,k+1)+ & # endif !> & u(i,j,k+1,nrhs))- & !> & cff2*(u(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,k-1)+ & !> & u_stokes(i,j,k+2)+ & # endif !> & u(i,j,k+2,nrhs)))* & !> & (W(i ,j,k)+ & !> & W(i-1,j,k)) !> tl_FC(i,k)=(cff1*(tl_u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,k )+ & & tl_u_stokes(i,j,k+1)+ & # endif & tl_u(i,j,k+1,nrhs))- & & cff2*(tl_u(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,k-1)+ & & tl_u_stokes(i,j,k+2)+ & # endif & tl_u(i,j,k+2,nrhs)))* & & (W(i ,j,k)+ & & W(i-1,j,k))+ & & (cff1*(u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,k )+ & & u_stokes(i,j,k+1)+ & # endif & u(i,j,k+1,nrhs))- & & cff2*(u(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,k-1)+ & & u_stokes(i,j,k+2)+ & # endif & u(i,j,k+2,nrhs)))* & & (tl_W(i ,j,k)+ & & tl_W(i-1,j,k)) END DO END DO DO i=IstrU,Iend !> FC(i,N(ng))=0.0_r8 !> tl_FC(i,N(ng))=0.0_r8 !> FC(i,N(ng)-1)=(cff1*(u(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,N(ng)-1)+ & !> & u_stokes(i,j,N(ng) )+ & # endif !> & u(i,j,N(ng) ,nrhs))- & !> & cff2*(u(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,N(ng)-2)+ & !> & u_stokes(i,j,N(ng) )+ & # endif !> & u(i,j,N(ng) ,nrhs)))* & !> & (W(i ,j,N(ng)-1)+ & !> & W(i-1,j,N(ng)-1)) !> tl_FC(i,N(ng)-1)=(cff1*(tl_u(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,N(ng)-1)+ & & tl_u_stokes(i,j,N(ng) )+ & # endif & tl_u(i,j,N(ng) ,nrhs))- & & cff2*(tl_u(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,N(ng)-2)+ & & tl_u_stokes(i,j,N(ng) )+ & # endif & tl_u(i,j,N(ng) ,nrhs)))* & & (W(i ,j,N(ng)-1)+ & & W(i-1,j,N(ng)-1))+ & & (cff1*(u(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,N(ng)-1)+ & & u_stokes(i,j,N(ng) )+ & # endif & u(i,j,N(ng) ,nrhs))- & & cff2*(u(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,N(ng)-2)+ & & u_stokes(i,j,N(ng) )+ & # endif & u(i,j,N(ng) ,nrhs)))* & & (tl_W(i ,j,N(ng)-1)+ & & tl_W(i-1,j,N(ng)-1)) !> FC(i,1)=(cff1*(u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,1)+ & !> & u_stokes(i,j,2)+ & # endif !> & u(i,j,2,nrhs))- & !> & cff2*(u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,1)+ & !> & u_stokes(i,j,3)+ & # endif !> & u(i,j,3,nrhs)))* & !> & (W(i ,j,1)+ & !> & W(i-1,j,1)) !> tl_FC(i,1)=(cff1*(tl_u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,1)+ & & tl_u_stokes(i,j,2)+ & # endif & tl_u(i,j,2,nrhs))- & & cff2*(tl_u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,1)+ & & tl_u_stokes(i,j,3)+ & # endif & tl_u(i,j,3,nrhs)))* & & (W(i ,j,1)+ & & W(i-1,j,1))+ & & (cff1*(u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,1)+ & & u_stokes(i,j,2)+ & # endif & u(i,j,2,nrhs))- & & cff2*(u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,1)+ & & u_stokes(i,j,3)+ & # endif & u(i,j,3,nrhs)))* & & (tl_W(i ,j,1)+ & & tl_W(i-1,j,1)) # ifdef SED_MORPH # ifdef NEARSHORE_MELLOR !> FC(i,0)=2.0_r8* & !> & (cff1*(u(i,j,1,nrhs)+u_stokes(i,j,1))- & !> & cff2*(u(i,j,2,nrhs)+u_stokes(i,j,2)))* & !> & (W(i ,j,0)+ & !> & W(i-1,j,0)) !> tl_FC(i,0)=2.0_r8* & & ((cff1*(tl_u(i,j,1,nrhs)+tl_u_stokes(i,j,1))- & & cff2*(tl_u(i,j,2,nrhs)+tl_u_stokes(i,j,2)))* & & (W(i ,j,0)+ & & W(i-1,j,0))+ & & (cff1*(u(i,j,1,nrhs)+u_stokes(i,j,1))- & & cff2*(u(i,j,2,nrhs)+u_stokes(i,j,2)))* & & (tl_W(i ,j,0)+ & & tl_W(i-1,j,0))) # else !> FC(i,0)=2.0_r8* & !> & (cff1*u(i,j,1,nrhs)- & !> & cff2*u(i,j,2,nrhs))* & !> & (W(i ,j,0)+ & !> & W(i-1,j,0)) !> tl_FC(i,0)=2.0_r8* & & ((cff1*tl_u(i,j,1,nrhs)- & & cff2*tl_u(i,j,2,nrhs))* & & (W(i ,j,0)+ & & W(i-1,j,0))+ & & (cff1*u(i,j,1,nrhs)- & & cff2*u(i,j,2,nrhs))* & & (tl_W(i ,j,0)+ & & tl_W(i-1,j,0))) # endif # else !> FC(i,0)=0.0_r8 !> tl_FC(i,0)=0.0_r8 # endif END DO # else cff1=9.0_r8/16.0_r8 cff2=1.0_r8/16.0_r8 DO k=2,N(ng)-2 DO i=IstrU,Iend !> FC(i,k)=(cff1*(u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,k )+ & !> & u_stokes(i,j,k+1)+ & # endif !> & u(i,j,k+1,nrhs))- & !> & cff2*(u(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,k-1)+ & !> & u_stokes(i,j,k+2)+ & # endif !> & u(i,j,k+2,nrhs)))* & !> & (cff1*(W(i ,j,k)+ & !> & W(i-1,j,k))- & !> & cff2*(W(i+1,j,k)+ & !> & W(i-2,j,k))) !> tl_FC(i,k)=(cff1*(tl_u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,k )+ & & tl_u_stokes(i,j,k+1)+ & # endif & tl_u(i,j,k+1,nrhs))- & & cff2*(tl_u(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,k-1)+ & & tl_u_stokes(i,j,k+2)+ & # endif & tl_u(i,j,k+2,nrhs)))* & & (cff1*(W(i ,j,k)+ & & W(i-1,j,k))- & & cff2*(W(i+1,j,k)+ & & W(i-2,j,k)))+ & & (cff1*(u(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,k )+ & & u_stokes(i,j,k+1)+ & # endif & u(i,j,k+1,nrhs))- & & cff2*(u(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,k-1)+ & & u_stokes(i,j,k+2)+ & # endif & u(i,j,k+2,nrhs)))* & & (cff1*(tl_W(i ,j,k)+ & & tl_W(i-1,j,k))- & & cff2*(tl_W(i+1,j,k)+ & & tl_W(i-2,j,k))) END DO END DO DO i=IstrU,Iend !> FC(i,N(ng))=0.0_r8 !> tl_FC(i,N(ng))=0.0_r8 !> FC(i,N(ng)-1)=(cff1*(u(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,N(ng)-1)+ & !> & u_stokes(i,j,N(ng) )+ & # endif !> & u(i,j,N(ng) ,nrhs))- & !> & cff2*(u(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,N(ng)-2)+ & !> & u_stokes(i,j,N(ng) )+ & # endif !> & u(i,j,N(ng) ,nrhs)))* & !> & (cff1*(W(i ,j,N(ng)-1)+ & !> & W(i-1,j,N(ng)-1))- & !> & cff2*(W(i+1,j,N(ng)-1)+ & !> & W(i-2,j,N(ng)-1))) !> tl_FC(i,N(ng)-1)=(cff1*(tl_u(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,N(ng)-1)+ & & tl_u_stokes(i,j,N(ng) )+ & # endif & tl_u(i,j,N(ng) ,nrhs))- & & cff2*(tl_u(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,N(ng)-2)+ & & tl_u_stokes(i,j,N(ng) )+ & # endif & tl_u(i,j,N(ng) ,nrhs)))* & & (cff1*(W(i ,j,N(ng)-1)+ & & W(i-1,j,N(ng)-1))- & & cff2*(W(i+1,j,N(ng)-1)+ & & W(i-2,j,N(ng)-1)))+ & & (cff1*(u(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,N(ng)-1)+ & & u_stokes(i,j,N(ng) )+ & # endif & u(i,j,N(ng) ,nrhs))- & & cff2*(u(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,N(ng)-2)+ & & u_stokes(i,j,N(ng) )+ & # endif & u(i,j,N(ng) ,nrhs)))* & & (cff1*(tl_W(i ,j,N(ng)-1)+ & & tl_W(i-1,j,N(ng)-1))- & & cff2*(tl_W(i+1,j,N(ng)-1)+ & & tl_W(i-2,j,N(ng)-1))) !> FC(i,1)=(cff1*(u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,1)+ & !> & u_stokes(i,j,2)+ & # endif !> & u(i,j,2,nrhs))- & !> & cff2*(u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & u_stokes(i,j,1)+ & !> & u_stokes(i,j,3)+ & # endif !> & u(i,j,3,nrhs)))* & !> & (cff1*(W(i ,j,1)+ & !> & W(i-1,j,1))- & !> & cff2*(W(i+1,j,1)+ & !> & W(i-2,j,1))) !> tl_FC(i,1)=(cff1*(tl_u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,1)+ & & tl_u_stokes(i,j,2)+ & # endif & tl_u(i,j,2,nrhs))- & & cff2*(tl_u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_u_stokes(i,j,1)+ & & tl_u_stokes(i,j,3)+ & # endif & tl_u(i,j,3,nrhs)))* & & (cff1*(W(i ,j,1)+ & & W(i-1,j,1))- & & cff2*(W(i+1,j,1)+ & & W(i-2,j,1)))+ & & (cff1*(u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,1)+ & & u_stokes(i,j,2)+ & # endif & u(i,j,2,nrhs))- & & cff2*(u(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & u_stokes(i,j,1)+ & & u_stokes(i,j,3)+ & # endif & u(i,j,3,nrhs)))* & & (cff1*(tl_W(i ,j,1)+ & & tl_W(i-1,j,1))- & & cff2*(tl_W(i+1,j,1)+ & & tl_W(i-2,j,1))) # ifdef SED_MORPH # ifdef NEARSHORE_MELLOR !> FC(i,0)=2.0_r8* & !> & (cff1*(u(i,j,1,nrhs)+u_stokes(i,j,1))- & !> & cff2*(u(i,j,2,nrhs)+u_stokes(i,j,2)))* & !> & (cff1*(W(i ,j,0)+ & !> & W(i-1,j,0))- & !> & cff2*(W(i+1,j,0)+ & !> & W(i-2,j,0))) !> tl_FC(i,0)=2.0_r8* & & ((cff1*(tl_u(i,j,1,nrhs)+tl_u_stokes(i,j,1))- & & cff2*(tl_u(i,j,2,nrhs)+tl_u_stokes(i,j,2)))* & & (cff1*(W(i ,j,0)+ & & W(i-1,j,0))- & & cff2*(W(i+1,j,0)+ & & W(i-2,j,0)))+ & & (cff1*(u(i,j,1,nrhs)+u_stokes(i,j,1))- & & cff2*(u(i,j,2,nrhs)+u_stokes(i,j,2)))* & & (cff1*(tl_W(i ,j,0)+ & & tl_W(i-1,j,0))- & & cff2*(tl_W(i+1,j,0)+ & & tl_W(i-2,j,0)))) # else !> FC(i,0)=2.0_r8* & !> & (cff1*u(i,j,1,nrhs)- & !> & cff2*u(i,j,2,nrhs))* & !> & (cff1*(W(i ,j,0)+ & !> & W(i-1,j,0))- & !> & cff2*(W(i+1,j,0)+ & !> & W(i-2,j,0))) !> tl_FC(i,0)=2.0_r8* & & ((cff1*tl_u(i,j,1,nrhs)- & & cff2*tl_u(i,j,2,nrhs))* & & (cff1*(W(i ,j,0)+ & & W(i-1,j,0))- & & cff2*(W(i+1,j,0)+ & & W(i-2,j,0)))+ & & (cff1*u(i,j,1,nrhs)- & & cff2*u(i,j,2,nrhs))* & & (cff1*(tl_W(i ,j,0)+ & & tl_W(i-1,j,0))- & & cff2*(tl_W(i+1,j,0)+ & & tl_W(i-2,j,0)))) # endif # else !> FC(i,0)=0.0_r8 !> tl_FC(i,0)=0.0_r8 # endif END DO # endif DO k=1,N(ng) DO i=IstrU,Iend !> cff=FC(i,k)-FC(i,k-1) !> tl_cff=tl_FC(i,k)-tl_FC(i,k-1) !> ru(i,j,k,nrhs)=ru(i,j,k,nrhs)-cff !> tl_ru(i,j,k,nrhs)=tl_ru(i,j,k,nrhs)-tl_cff # ifdef DIAGNOSTICS_UV !! DiaRU(i,j,k,nrhs,M3vadv)=-cff # endif END DO END DO IF (j.ge.JstrV) THEN # ifdef UV_SADVECTION ! ! Apply spline code to BASIC STATE v-momentum which should be in ! units of m/s. CF will be used by the tangent linear spline code. ! cff1=9.0_r8/16.0_r8 cff2=1.0_r8/16.0_r8 DO k=1,N(ng) DO i=Istr,Iend DC(i,k)=(cff1*(Hz(i,j ,k)+ & & Hz(i,j-1,k))- & & cff2*(Hz(i,j+1,k)+ & & Hz(i,j-2,k))) END DO END DO DO i=Istr,Iend FC(i,0)=0.0_r8 CF(i,0)=0.0_r8 END DO DO k=1,N(ng)-1 DO i=Istr,Iend cff=1.0_r8/(2.0_r8*DC(i,k+1)+DC(i,k)*(2.0_r8-FC(i,k-1))) FC(i,k)=cff*DC(i,k+1) CF(i,k)=cff*(6.0_r8*(v(i,j,k+1,nrhs)- & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,k )+ & & v_stokes(i,j,k+1)- & # endif & v(i,j,k ,nrhs))- & & DC(i,k)*CF(i,k-1)) END DO END DO DO i=Istr,Iend CF(i,N(ng))=0.0_r8 END DO DO k=N(ng)-1,1,-1 DO i=Istr,Iend CF(i,k)=CF(i,k)-FC(i,k)*CF(i,k+1) END DO END DO ! ! Construct tangent linear conservative parabolic splines for the ! vertical derivatives "tl_CF" of v-momentum. ! cff1=9.0_r8/16.0_r8 cff2=1.0_r8/16.0_r8 DO k=1,N(ng) DO i=Istr,Iend DC(i,k)=(cff1*(Hz(i,j ,k)+ & & Hz(i,j-1,k))- & & cff2*(Hz(i,j+1,k)+ & & Hz(i,j-2,k))) tl_DC(i,k)=(cff1*(tl_Hz(i,j ,k)+ & & tl_Hz(i,j-1,k))- & & cff2*(tl_Hz(i,j+1,k)+ & & tl_Hz(i,j-2,k))) END DO END DO DO i=Istr,Iend FC(i,0)=0.0_r8 tl_CF(i,0)=0.0_r8 END DO DO k=1,N(ng)-1 DO i=Istr,Iend cff=1.0_r8/(2.0_r8*DC(i,k+1)+DC(i,k)*(2.0_r8-FC(i,k-1))) FC(i,k)=cff*DC(i,k+1) tl_CF(i,k)=cff*(6.0_r8*(tl_v(i,j,k+1,nrhs)- & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,k )+ & & tl_v_stokes(i,j,k+1)- & # endif & tl_v(i,j,k ,nrhs))- & & (tl_DC(i,k)*CF(i,k-1)+ & & 2.0_r8*(tl_DC(i,k )+ & & tl_DC(i,k+1))*CF(i,k)+ & & tl_DC(i,k+1)*CF(i,k+1))- & & DC(i,k)*tl_CF(i,k-1)) END DO END DO DO i=Istr,Iend tl_CF(i,N(ng))=0.0_r8 END DO DO k=N(ng)-1,1,-1 DO i=Istr,Iend tl_CF(i,k)=tl_CF(i,k)-FC(i,k)*tl_CF(i,k+1) END DO END DO ! ! Compute spline-interpolated, vertical advective v-momentum flux. ! cff3=1.0_r8/3.0_r8 cff4=1.0_r8/6.0_r8 DO k=1,N(ng)-1 DO i=Istr,Iend !> FC(i,k)=(cff1*(W(i,j ,k)+ & !> & W(i,j-1,k))- & !> & cff2*(W(i,j+1,k)+ & !> & W(i,j-2,k)))* & !> & (v(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,k)+ & # endif !> & DC(i,k)*(cff3*CF(i,k )+ & !> & cff4*CF(i,k-1))) !> tl_FC(i,k)=(cff1*(tl_W(i,j ,k)+ & & tl_W(i,j-1,k))- & & cff2*(tl_W(i,j+1,k)+ & & tl_W(i,j-2,k)))* & & (v(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,k)+ & # endif & DC(i,k)*(cff3*CF(i,k )+ & & cff4*CF(i,k-1)))+ & & (cff1*(W(i,j ,k)+ & & W(i,j-1,k))- & & cff2*(W(i,j+1,k)+ & & W(i,j-2,k)))* & & (tl_v(i,j,k,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,k)+ & # endif & DC(i,k)*(cff3*tl_CF(i,k )+ & & cff4*tl_CF(i,k-1))+ & & tl_DC(i,k)*(cff3*CF(i,k )+ & & cff4*CF(i,k-1))) END DO END DO DO i=Istr,Iend !> FC(i,N(ng))=0.0_r8 !> tl_FC(i,N(ng))=0.0_r8 !> FC(i,0)=0.0_r8 !> tl_FC(i,0)=0.0_r8 END DO # elif defined UV_C2ADVECTION ! ! Second-order, centered differences vertical advection. ! DO k=1,N(ng)-1 DO i=Istr,Iend !> FC(i,k)=0.25_r8*(v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,k )+ & !> & v_stokes(i,j,k+1)+ & # endif !> & v(i,j,k+1,nrhs))* & !> & (W(i,j ,k)+ & !> & W(i,j-1,k)) !> tl_FC(i,k)=0.25_r8*((tl_v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,k )+ & & tl_v_stokes(i,j,k+1)+ & # endif & tl_v(i,j,k+1,nrhs))* & & (W(i,j ,k)+ & & W(i,j-1,k))+ & & (v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,k )+ & & v_stokes(i,j,k+1)+ & # endif & v(i,j,k+1,nrhs))* & & (tl_W(i,j ,k)+ & & tl_W(i,j-1,k))) END DO END DO DO i=Istr,Iend # ifdef SED_MORPH # ifdef NEARSHORE_MELLOR !> FC(i,0)=0.5_r8*(v(i,j,1,nrhs)+v_stokes(i,j,1))* & !> & (W(i,j ,0)+ & !> & W(i,j-1,0)) !> tl_FC(i,0)=0.5_r8* & & ((tl_v(i,j,1,nrhs)+tl_v_stokes(i,j,1))* & & (W(i,j ,0)+ & & W(i,j-1,0))+ & & (v(i,j,1,nrhs)+v_stokes(i,j,1))* & & (tl_W(i,j ,0)+ & & tl_W(i,j-1,0))) # else !> FC(i,0)=0.5_r8*v(i,j,1,nrhs)* & !> & (W(i,j ,0)+ & !> & W(i,j-1,0)) !> tl_FC(i,0)=0.5_r8* & & (tl_v(i,j,1,nrhs)* & & (W(i,j ,0)+ & & W(i,j-1,0))+ & & v(i,j,1,nrhs)* & & (tl_W(i,j ,0)+ & & tl_W(i,j-1,0))) # endif # else !> FC(i,0)=0.0_r8 !> tl_FC(i,0)=0.0_r8 # endif !> FC(i,N(ng))=0.0_r8 !> tl_FC(i,N(ng))=0.0_r8 END DO # elif defined UV_C4ADVECTION ! ! Forth-order, centered differences vertical advection. ! cff1=9.0_r8/32.0_r8 cff2=1.0_r8/32.0_r8 DO k=2,N(ng)-2 DO i=Istr,Iend !> FC(i,k)=(cff1*(v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,k )+ & !> & v_stokes(i,j,k+1)+ & # endif !> & v(i,j,k+1,nrhs))- & !> & cff2*(v(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,k-1)+ & !> & v_stokes(i,j,k+2)+ & # endif !> & v(i,j,k+2,nrhs)))* & !> & (W(i,j ,k)+ & !> & W(i,j-1,k)) !> tl_FC(i,k)=(cff1*(tl_v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,k )+ & & tl_v_stokes(i,j,k+1)+ & # endif & tl_v(i,j,k+1,nrhs))- & & cff2*(tl_v(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,k-1)+ & & tl_v_stokes(i,j,k+2)+ & # endif & tl_v(i,j,k+2,nrhs)))* & & (W(i,j ,k)+ & & W(i,j-1,k))+ & & (cff1*(v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,k )+ & & v_stokes(i,j,k+1)+ & # endif & v(i,j,k+1,nrhs))- & & cff2*(v(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,k-1)+ & & v_stokes(i,j,k+2)+ & # endif & v(i,j,k+2,nrhs)))* & & (tl_W(i,j ,k)+ & & tl_W(i,j-1,k)) END DO END DO DO i=Istr,Iend !> FC(i,N(ng))=0.0_r8 !> tl_FC(i,N(ng))=0.0_r8 !> FC(i,N(ng)-1)=(cff1*(v(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,N(ng)-1)+ & !> & v_stokes(i,j,N(ng) )+ & # endif !> & v(i,j,N(ng) ,nrhs))- & !> & cff2*(v(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,N(ng)-2)+ & !> & v_stokes(i,j,N(ng) )+ & # endif !> & v(i,j,N(ng) ,nrhs)))* & !> & (W(i,j ,N(ng)-1)+ & !> & W(i,j-1,N(ng)-1)) !> tl_FC(i,N(ng)-1)=(cff1*(tl_v(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,N(ng)-1)+ & & tl_v_stokes(i,j,N(ng) )+ & # endif & tl_v(i,j,N(ng) ,nrhs))- & & cff2*(tl_v(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,N(ng)-2)+ & & tl_v_stokes(i,j,N(ng) )+ & # endif & tl_v(i,j,N(ng) ,nrhs)))* & & (W(i,j ,N(ng)-1)+ & & W(i,j-1,N(ng)-1))+ & & (cff1*(v(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,N(ng)-1)+ & & v_stokes(i,j,N(ng) )+ & # endif & v(i,j,N(ng) ,nrhs))- & & cff2*(v(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,N(ng)-2)+ & & v_stokes(i,j,N(ng) )+ & # endif & v(i,j,N(ng) ,nrhs)))* & & (tl_W(i,j ,N(ng)-1)+ & & tl_W(i,j-1,N(ng)-1)) !> FC(i,1)=(cff1*(v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,1)+ & !> & v_stokes(i,j,2)+ & # endif !> & v(i,j,2,nrhs))- & !> & cff2*(v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,1)+ & !> & v_stokes(i,j,3)+ & # endif !> & v(i,j,3,nrhs)))* & !> & (W(i,j ,1)+ & !> & W(i,j-1,1)) !> tl_FC(i,1)=(cff1*(tl_v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,1)+ & & tl_v_stokes(i,j,2)+ & # endif & tl_v(i,j,2,nrhs))- & & cff2*(tl_v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,1)+ & & tl_v_stokes(i,j,3)+ & # endif & tl_v(i,j,3,nrhs)))* & & (W(i,j ,1)+ & & W(i,j-1,1))+ & & (cff1*(v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,1)+ & & v_stokes(i,j,2)+ & # endif & v(i,j,2,nrhs))- & & cff2*(v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,1)+ & & v_stokes(i,j,3)+ & # endif & v(i,j,3,nrhs)))* & & (tl_W(i,j ,1)+ & & tl_W(i,j-1,1)) # ifdef SED_MORPH # ifdef NEARSHORE_MELLOR !> FC(i,0)=2.0_r8* & !> & (cff1*(v(i,j,1,nrhs)+v_stokes(i,j,1))- & !> & cff2*(v(i,j,2,nrhs)+v_stokes(i,j,2)))* & !> & (W(i,j ,0)+ & !> & W(i,j-1,0)) !> tl_FC(i,0)=2.0_r8* & & ((cff1*(tl_v(i,j,1,nrhs)+tl_v_stokes(i,j,1))- & & cff2*(tl_v(i,j,2,nrhs)+tl_v_stokes(i,j,2)))* & & (W(i,j ,0)+ & & W(i,j-1,0))+ & & (cff1*(v(i,j,1,nrhs)+v_stokes(i,j,1))- & & cff2*(v(i,j,2,nrhs)+v_stokes(i,j,2)))* & & (tl_W(i,j ,0)+ & & tl_W(i,j-1,0))) # else !> FC(i,0)=2.0_r8* & !> & (cff1*v(i,j,1,nrhs)- & !> & cff2*v(i,j,2,nrhs))* & !> & (W(i,j ,0)+ & !> & W(i,j-1,0)) !> tl_FC(i,0)=2.0_r8* & & ((cff1*tl_v(i,j,1,nrhs)- & & cff2*tl_v(i,j,2,nrhs))* & & (W(i,j ,0)+ & & W(i,j-1,0))+ & & (cff1*v(i,j,1,nrhs)- & & cff2*v(i,j,2,nrhs))* & & (tl_W(i,j ,0)+ & & tl_W(i,j-1,0))) # endif # else !> FC(i,0)=0.0_r8 !> tl_FC(i,0)=0.0_r8 # endif END DO # else cff1=9.0_r8/16.0_r8 cff2=1.0_r8/16.0_r8 DO k=2,N(ng)-2 DO i=Istr,Iend !> FC(i,k)=(cff1*(v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,k )+ & !> & v_stokes(i,j,k+1)+ & # endif !> & v(i,j,k+1,nrhs))- & !> & cff2*(v(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,k-1)+ & !> & v_stokes(i,j,k+2)+ & # endif !> & v(i,j,k+2,nrhs)))* & !> & (cff1*(W(i,j ,k)+ & !> & W(i,j-1,k))- & !> & cff2*(W(i,j+1,k)+ & !> & W(i,j-2,k))) !> tl_FC(i,k)=(cff1*(tl_v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,k )+ & & tl_v_stokes(i,j,k+1)+ & # endif & tl_v(i,j,k+1,nrhs))- & & cff2*(tl_v(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,k-1)+ & & tl_v_stokes(i,j,k+2)+ & # endif & tl_v(i,j,k+2,nrhs)))* & & (cff1*(W(i,j ,k)+ & & W(i,j-1,k))- & & cff2*(W(i,j+1,k)+ & & W(i,j-2,k)))+ & & (cff1*(v(i,j,k ,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,k )+ & & v_stokes(i,j,k+1)+ & # endif & v(i,j,k+1,nrhs))- & & cff2*(v(i,j,k-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,k-1)+ & & v_stokes(i,j,k+2)+ & # endif & v(i,j,k+2,nrhs)))* & & (cff1*(tl_W(i,j ,k)+ & & tl_W(i,j-1,k))- & & cff2*(tl_W(i,j+1,k)+ & & tl_W(i,j-2,k))) END DO END DO DO i=Istr,Iend !> FC(i,N(ng))=0.0_r8 !> tl_FC(i,N(ng))=0.0_r8 !> FC(i,N(ng)-1)=(cff1*(v(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,N(ng)-1)+ & !> & v_stokes(i,j,N(ng) )+ & # endif !> & v(i,j,N(ng) ,nrhs))- & !> & cff2*(v(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,N(ng)-2)+ & !> & v_stokes(i,j,N(ng) )+ & # endif !> & v(i,j,N(ng) ,nrhs)))* & !> & (cff1*(W(i,j ,N(ng)-1)+ & !> & W(i,j-1,N(ng)-1))- & !> & cff2*(W(i,j+1,N(ng)-1)+ & !> & W(i,j-2,N(ng)-1))) !> tl_FC(i,N(ng)-1)=(cff1*(tl_v(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,N(ng)-1)+ & & tl_v_stokes(i,j,N(ng) )+ & # endif & tl_v(i,j,N(ng) ,nrhs))- & & cff2*(tl_v(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,N(ng)-2)+ & & tl_v_stokes(i,j,N(ng) )+ & # endif & tl_v(i,j,N(ng) ,nrhs)))* & & (cff1*(W(i,j ,N(ng)-1)+ & & W(i,j-1,N(ng)-1))- & & cff2*(W(i,j+1,N(ng)-1)+ & & W(i,j-2,N(ng)-1)))+ & & (cff1*(v(i,j,N(ng)-1,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,N(ng)-1)+ & & v_stokes(i,j,N(ng) )+ & # endif & v(i,j,N(ng) ,nrhs))- & & cff2*(v(i,j,N(ng)-2,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,N(ng)-2)+ & & v_stokes(i,j,N(ng) )+ & # endif & v(i,j,N(ng) ,nrhs)))* & & (cff1*(tl_W(i,j ,N(ng)-1)+ & & tl_W(i,j-1,N(ng)-1))- & & cff2*(tl_W(i,j+1,N(ng)-1)+ & & tl_W(i,j-2,N(ng)-1))) !> FC(i,1)=(cff1*(v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,1)+ & !> & v_stokes(i,j,2)+ & # endif !> & v(i,j,2,nrhs))- & !> & cff2*(v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR !> & v_stokes(i,j,1)+ & !> & v_stokes(i,j,3)+ & # endif !> & v(i,j,3,nrhs)))* & !> & (cff1*(W(i,j ,1)+ & !> & W(i,j-1,1))- & !> & cff2*(W(i,j+1,1)+ & !> & W(i,j-2,1))) !> tl_FC(i,1)=(cff1*(tl_v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,1)+ & & tl_v_stokes(i,j,2)+ & # endif & tl_v(i,j,2,nrhs))- & & cff2*(tl_v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & tl_v_stokes(i,j,1)+ & & tl_v_stokes(i,j,3)+ & # endif & tl_v(i,j,3,nrhs)))* & & (cff1*(W(i,j ,1)+ & & W(i,j-1,1))- & & cff2*(W(i,j+1,1)+ & & W(i,j-2,1)))+ & & (cff1*(v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,1)+ & & v_stokes(i,j,2)+ & # endif & v(i,j,2,nrhs))- & & cff2*(v(i,j,1,nrhs)+ & # ifdef NEARSHORE_MELLOR & v_stokes(i,j,1)+ & & v_stokes(i,j,3)+ & # endif & v(i,j,3,nrhs)))* & & (cff1*(tl_W(i,j ,1)+ & & tl_W(i,j-1,1))- & & cff2*(tl_W(i,j+1,1)+ & & tl_W(i,j-2,1))) # ifdef SED_MORPH # ifdef NEARSHORE_MELLOR !> FC(i,0)=2.0_r8* & !> & (cff1*(v(i,j,1,nrhs)+v_stokes(i,j,1))- & !> & cff2*(v(i,j,2,nrhs)+v_stokes(i,j,2)))* & !> & (cff1*(W(i,j ,0)+ & !> & W(i,j-1,0))- & !> & cff2*(W(i,j+1,0)+ & !> & W(i,j-2,0))) !> tl_FC(i,0)=2.0_r8* & & ((cff1*(tl_v(i,j,1,nrhs)+tl_v_stokes(i,j,1))- & & cff2*(tl_v(i,j,2,nrhs)+tl_v_stokes(i,j,2)))* & & (cff1*(W(i,j ,0)+ & & W(i,j-1,0))- & & cff2*(W(i,j+1,0)+ & & W(i,j-2,0)))+ & & (cff1*(v(i,j,1,nrhs)+v_stokes(i,j,1))- & & cff2*(v(i,j,2,nrhs)+v_stokes(i,j,2)))* & & (cff1*(tl_W(i,j ,0)+ & & tl_W(i,j-1,0))- & & cff2*(tl_W(i,j+1,0)+ & & tl_W(i,j-2,0)))) # else !> FC(i,0)=2.0_r8* & !> & (cff1*v(i,j,1,nrhs)- & !> & cff2*v(i,j,2,nrhs))* & !> & (cff1*(W(i,j ,0)+ & !> & W(i,j-1,0))- & !> & cff2*(W(i,j+1,0)+ & !> & W(i,j-2,0))) !> tl_FC(i,0)=2.0_r8* & & ((cff1*tl_v(i,j,1,nrhs)- & & cff2*tl_v(i,j,2,nrhs))* & & (cff1*(W(i,j ,0)+ & & W(i,j-1,0))- & & cff2*(W(i,j+1,0)+ & & W(i,j-2,0)))+ & & (cff1*v(i,j,1,nrhs)- & & cff2*v(i,j,2,nrhs))* & & (cff1*(tl_W(i,j ,0)+ & & tl_W(i,j-1,0))- & & cff2*(tl_W(i,j+1,0)+ & & tl_W(i,j-2,0)))) # endif # else !> FC(i,0)=0.0_r8 !> tl_FC(i,0)=0.0_r8 # endif END DO # endif DO k=1,N(ng) DO i=Istr,Iend !> cff=FC(i,k)-FC(i,k-1) !> tl_cff=tl_FC(i,k)-tl_FC(i,k-1) !> rv(i,j,k,nrhs)=rv(i,j,k,nrhs)-cff !> tl_rv(i,j,k,nrhs)=tl_rv(i,j,k,nrhs)-tl_cff # ifdef DIAGNOSTICS_UV !! DiaRV(i,j,k,nrhs,M3vadv)=-cff # endif END DO END DO END IF # endif ! !----------------------------------------------------------------------- ! Compute forcing term for the 2D momentum equations. !----------------------------------------------------------------------- ! ! Vertically integrate baroclinic right-hand-side terms. If not ! body force stresses, add in the difference between surface and ! bottom stresses. ! DO i=IstrU,Iend !> rufrc(i,j)=ru(i,j,1,nrhs) !> tl_rufrc(i,j)=tl_ru(i,j,1,nrhs) # ifdef DIAGNOSTICS_UV !! DiaRUfrc(i,j,3,M2pgrd)=DiaRU(i,j,1,nrhs,M3pgrd) # ifdef UV_COR !! DiaRUfrc(i,j,3,M2fcor)=DiaRU(i,j,1,nrhs,M3fcor) # endif # ifdef UV_ADV !! DiaRUfrc(i,j,3,M2xadv)=DiaRU(i,j,1,nrhs,M3xadv) !! DiaRUfrc(i,j,3,M2yadv)=DiaRU(i,j,1,nrhs,M3yadv) !! DiaRUfrc(i,j,3,M2hadv)=DiaRU(i,j,1,nrhs,M3hadv) # endif # ifdef NEARSHORE_MELLOR !! DiaRUfrc(i,j,3,M2hrad)=DiaRU(i,j,1,nrhs,M3hrad) # endif # if defined UV_VIS2 || defined UV_VIS4 !! DiaRUfrc(i,j,3,M2xvis)=0.0_r8 !! DiaRUfrc(i,j,3,M2yvis)=0.0_r8 !! DiaRUfrc(i,j,3,M2hvis)=0.0_r8 # endif # ifdef BODYFORCE !! DiaRUfrc(i,j,3,M2strs)=DiaRU(i,j,1,nrhs,M3vvis) # endif # endif END DO DO k=2,N(ng) DO i=IstrU,Iend !> rufrc(i,j)=rufrc(i,j)+ru(i,j,k,nrhs) !> tl_rufrc(i,j)=tl_rufrc(i,j)+tl_ru(i,j,k,nrhs) # ifdef DIAGNOSTICS_UV !! DiaRUfrc(i,j,3,M2pgrd)=DiaRUfrc(i,j,3,M2pgrd)+ & !! & DiaRU(i,j,k,nrhs,M3pgrd) # ifdef UV_COR !! DiaRUfrc(i,j,3,M2fcor)=DiaRUfrc(i,j,3,M2fcor)+ & !! & DiaRU(i,j,k,nrhs,M3fcor) # endif # ifdef UV_ADV !! DiaRUfrc(i,j,3,M2xadv)=DiaRUfrc(i,j,3,M2xadv)+ & !! & DiaRU(i,j,k,nrhs,M3xadv) !! DiaRUfrc(i,j,3,M2yadv)=DiaRUfrc(i,j,3,M2yadv)+ & !! & DiaRU(i,j,k,nrhs,M3yadv) !! DiaRUfrc(i,j,3,M2hadv)=DiaRUfrc(i,j,3,M2hadv)+ & !! & DiaRU(i,j,k,nrhs,M3hadv) # endif # ifdef NEARSHORE_MELLOR !! DiaRUfrc(i,j,3,M2hrad)=DiaRUfrc(i,j,3,M2hrad)+ & !! & DiaRU(i,j,k,nrhs,M3hrad) # endif # ifdef BODYFORCE !! DiaRUfrc(i,j,3,M2strs)=DiaRUfrc(i,j,3,M2strs)+ & !! & DiaRU(i,j,k,nrhs,M3vvis) # endif # endif END DO END DO # ifndef BODYFORCE DO i=IstrU,Iend cff=om_u(i,j)*on_u(i,j) !> cff1= sustr(i,j)*cff !> tl_cff1= tl_sustr(i,j)*cff !> cff2=-bustr(i,j)*cff !> tl_cff2=-tl_bustr(i,j)*cff !> rufrc(i,j)=rufrc(i,j)+cff1+cff2 !> tl_rufrc(i,j)=tl_rufrc(i,j)+tl_cff1+tl_cff2 # ifdef DIAGNOSTICS_UV !! DiaRUfrc(i,j,3,M2sstr)=cff1 !! DiaRUfrc(i,j,3,M2bstr)=cff2 # endif END DO # endif IF (j.ge.JstrV) THEN DO i=Istr,Iend !> rvfrc(i,j)=rv(i,j,1,nrhs) !> tl_rvfrc(i,j)=tl_rv(i,j,1,nrhs) # ifdef DIAGNOSTICS_UV !! DiaRVfrc(i,j,3,M2pgrd)=DiaRV(i,j,1,nrhs,M3pgrd) # ifdef UV_COR !! DiaRVfrc(i,j,3,M2fcor)=DiaRV(i,j,1,nrhs,M3fcor) # endif # ifdef UV_ADV !! DiaRVfrc(i,j,3,M2xadv)=DiaRV(i,j,1,nrhs,M3xadv) !! DiaRVfrc(i,j,3,M2yadv)=DiaRV(i,j,1,nrhs,M3yadv) !! DiaRVfrc(i,j,3,M2hadv)=DiaRV(i,j,1,nrhs,M3hadv) # endif # ifdef NEARSHORE_MELLOR !! DiaRVfrc(i,j,3,M2hrad)=DiaRV(i,j,1,nrhs,M3hrad) # endif # if defined UV_VIS2 || defined UV_VIS4 !! DiaRVfrc(i,j,3,M2hvis)=0.0_r8 !! DiaRVfrc(i,j,3,M2xvis)=0.0_r8 !! DiaRVfrc(i,j,3,M2yvis)=0.0_r8 # endif # ifdef BODYFORCE !! DiaRVfrc(i,j,3,M2strs)=DiaRV(i,j,1,nrhs,M3vvis) # endif # endif END DO DO k=2,N(ng) DO i=Istr,Iend !> rvfrc(i,j)=rvfrc(i,j)+rv(i,j,k,nrhs) !> tl_rvfrc(i,j)=tl_rvfrc(i,j)+tl_rv(i,j,k,nrhs) # ifdef DIAGNOSTICS_UV !! DiaRVfrc(i,j,3,M2pgrd)=DiaRVfrc(i,j,3,M2pgrd)+ & !! & DiaRV(i,j,k,nrhs,M3pgrd) # ifdef UV_COR !! DiaRVfrc(i,j,3,M2fcor)=DiaRVfrc(i,j,3,M2fcor)+ & !! & DiaRV(i,j,k,nrhs,M3fcor) # endif # ifdef UV_ADV !! DiaRVfrc(i,j,3,M2xadv)=DiaRVfrc(i,j,3,M2xadv)+ & !! & DiaRV(i,j,k,nrhs,M3xadv) !! DiaRVfrc(i,j,3,M2yadv)=DiaRVfrc(i,j,3,M2yadv)+ & !! & DiaRV(i,j,k,nrhs,M3yadv) !! DiaRVfrc(i,j,3,M2hadv)=DiaRVfrc(i,j,3,M2hadv)+ & !! & DiaRV(i,j,k,nrhs,M3hadv) # endif # ifdef NEARSHORE_MELLOR !! DiaRVfrc(i,j,3,M2hrad)=DiaRVfrc(i,j,3,M2hrad)+ & !! & DiaRV(i,j,k,nrhs,M3hrad) # endif # ifdef BODYFORCE !! DiaRVfrc(i,j,3,M2strs)=DiaRVfrc(i,j,3,M2strs)+ & !! & DiaRV(i,j,k,nrhs,M3vvis) # endif # endif END DO END DO # ifndef BODYFORCE DO i=Istr,Iend cff=om_v(i,j)*on_v(i,j) !> cff1= svstr(i,j)*cff !> tl_cff1= tl_svstr(i,j)*cff !> cff2=-bvstr(i,j)*cff !> tl_cff2=-tl_bvstr(i,j)*cff !> rvfrc(i,j)=rvfrc(i,j)+cff1+cff2 !> tl_rvfrc(i,j)=tl_rvfrc(i,j)+tl_cff1+tl_cff2 # ifdef DIAGNOSTICS_UV !! DiaRVfrc(i,j,3,M2sstr)=cff1 !! DiaRVfrc(i,j,3,M2bstr)=cff2 # endif END DO # endif END IF END DO J_LOOP RETURN END SUBROUTINE tl_rhs3d_tile #endif END MODULE tl_rhs3d_mod