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gforget |
1.1 |
#include "CPP_OPTIONS.h" |
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#include "GAD_OPTIONS.h" |
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C !INTERFACE: ========================================================== |
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SUBROUTINE smooth_rhs(fld_in,gt_in,myThid) |
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C !DESCRIPTION: |
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C Calculates the tendency of a tracer due to advection and diffusion. |
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C It calculates the fluxes in each direction indepentently and then |
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C sets the tendency to the divergence of these fluxes. The advective |
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C fluxes are only calculated here when using the linear advection schemes |
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C otherwise only the diffusive and parameterized fluxes are calculated. |
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C |
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C Contributions to the flux are calculated and added: |
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C \begin{equation*} |
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C {\bf F} = {\bf F}_{adv} + {\bf F}_{diff} +{\bf F}_{GM} + {\bf F}_{KPP} |
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C \end{equation*} |
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C |
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C The tendency is the divergence of the fluxes: |
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C \begin{equation*} |
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C G_\theta = G_\theta + \nabla \cdot {\bf F} |
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C \end{equation*} |
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C |
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C The tendency is assumed to contain data on entry. |
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C !USES: =============================================================== |
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IMPLICIT NONE |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "SURFACE.h" |
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#include "GAD.h" |
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#include "GMREDI.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
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#include "tamc_keys.h" |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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#include "smooth.h" |
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C !INPUT PARAMETERS: =================================================== |
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c ... xA, yA, maskUp => in commons ?determined at init? |
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c dTdy...: peuvent devenir (bi,bj) |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL dTdz (nSx,nSy) |
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_RL dTdx (nSx,nSy) |
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_RL dTdy (nSx,nSy) |
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INTEGER myThid |
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INTEGER i,j,k |
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_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nR,nSx,nSy) |
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_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nR,nSx,nSy) |
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_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nR,nSx,nSy) |
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_RL df (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL fld_in(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr,nSx,nSy) |
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_RL gt_in(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr,nSx,nSy) |
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integer wc01_di, wc01_dj, wc01_dk, ii, jj, kk |
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_RL wc01_tmp(2) |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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c 1rst k loop: initialization |
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DO k=1,Nr |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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fZon(i,j,k,bi,bj) = 0. _d 0 |
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fMer(i,j,k,bi,bj) = 0. _d 0 |
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fVerT(i,j,k,bi,bj) = 0. _d 0 |
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gt_in(i,j,k,bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDDO |
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gforget |
1.2 |
cnot needed et !!!!!!!!bibj _EXCH_XYZ_RL( gt_in , myThid ) |
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gforget |
1.1 |
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iMin = 1-OLx+1 |
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iMax = sNx+OLx-1 |
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jMin = 1-OLy+1 |
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jMax = sNy+OLy-1 |
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c 2nd k loop: flux computation |
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DO k=1,Nr |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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df(i,j,bi,bj) = 0. _d 0 |
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xA(i,j,bi,bj) = _dyG(i,j,bi,bj) |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
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yA(i,j,bi,bj) = _dxG(i,j,bi,bj) |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
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IF (K .EQ. 1) THEN |
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maskUp(i,j,bi,bj) = 0. |
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ELSE |
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maskUp(i,j,bi,bj) = |
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& maskC(i,j,k-1,bi,bj)*maskC(i,j,k,bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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c ///gmredi_xtr/// |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j,bi,bj) = df(i,j,bi,bj) |
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& -xA(i,j,bi,bj) |
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& *wc01_Kux(i,j,k,bi,bj) |
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& *recip_dxC(i,j,bi,bj) |
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& *(fld_in(i,j,k,bi,bj)-fld_in(i-1,j,k,bi,bj)) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdz(bi,bj) = op5*( |
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& +op5*recip_drC(k)* |
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& ( maskC(i-1,j,k,bi,bj)* |
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& (fld_in(i-1,j, MAX(k-1,1) ,bi,bj)-fld_in(i-1,j,k,bi,bj)) |
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& +maskC( i ,j,k,bi,bj)* |
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& (fld_in( i ,j, MAX(k-1,1) ,bi,bj)-fld_in( i ,j,k,bi,bj)) |
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& ) |
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& +op5*recip_drC(MIN(k+1,Nr))* |
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& ( maskC(i-1,j,MIN(k+1,Nr),bi,bj)* |
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& (fld_in(i-1,j,k,bi,bj)-fld_in(i-1,j,MIN(k+1,Nr),bi,bj)) |
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& +maskC( i ,j,MIN(k+1,Nr),bi,bj)* |
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& (fld_in( i ,j,k,bi,bj)-fld_in( i ,j,MIN(k+1,Nr),bi,bj)) |
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& ) ) |
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df(i,j,bi,bj) = df(i,j,bi,bj) |
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& - xA(i,j,bi,bj)*wc01_Kuz(i,j,k,bi,bj)*dTdz(bi,bj) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdy(bi,bj) = op5*( |
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& +op5*(maskS(i,j,k,bi,bj) |
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& *recip_dyC(i,j,bi,bj)* |
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& (fld_in(i,j,k,bi,bj)-fld_in(i,j-1,k,bi,bj)) |
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& +maskS(i,j+1,k,bi,bj) |
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& *recip_dyC(i,j+1,bi,bj)* |
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& (fld_in(i,j+1,k,bi,bj)-fld_in(i,j,k,bi,bj))) |
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& +op5*(maskS(i-1,j,k,bi,bj) |
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& *recip_dyC(i,j,bi,bj)* |
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& (fld_in(i-1,j,k,bi,bj)-fld_in(i-1,j-1,k,bi,bj)) |
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& +maskS(i-1,j+1,k,bi,bj) |
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& *recip_dyC(i,j+1,bi,bj)* |
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& (fld_in(i-1,j+1,k,bi,bj)-fld_in(i-1,j,k,bi,bj))) |
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& ) |
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df(i,j,bi,bj) = df(i,j,bi,bj) |
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& - xA(i,j,bi,bj)*wc01_Kuy(i,j,k,bi,bj)*dTdy(bi,bj) |
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ENDDO |
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ENDDO |
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c /// end for x /// |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fZon(i,j,k,bi,bj) = fZon(i,j,k,bi,bj) + df(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j,bi,bj) = 0. |
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ENDDO |
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ENDDO |
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c ///gmredi_ytr/// |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j,bi,bj) = df(i,j,bi,bj) |
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& -yA(i,j,bi,bj) |
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& *wc01_Kvy(i,j,k,bi,bj) |
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& *recip_dyC(i,j,bi,bj) |
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& *(fld_in(i,j,k,bi,bj)-fld_in(i,j-1,k,bi,bj)) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdz(bi,bj) = op5*( |
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& +op5*recip_drC(k)* |
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& ( maskC(i,j-1,k,bi,bj)* |
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& (fld_in(i,j-1,MAX(k-1,1),bi,bj)-fld_in(i,j-1,k,bi,bj)) |
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& +maskC(i, j ,k,bi,bj)* |
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& (fld_in(i, j ,MAX(k-1,1),bi,bj)-fld_in(i, j ,k,bi,bj)) |
| 198 |
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& ) |
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& +op5*recip_drC(MIN(k+1,Nr))* |
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& ( maskC(i,j-1,MIN(k+1,Nr),bi,bj)* |
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& (fld_in(i,j-1,k,bi,bj)-fld_in(i,j-1,MIN(k+1,Nr),bi,bj)) |
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& +maskC(i, j ,MIN(k+1,Nr),bi,bj)* |
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& (fld_in(i, j ,k,bi,bj)-fld_in(i, j ,MIN(k+1,Nr),bi,bj)) |
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& ) ) |
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df(i,j,bi,bj) = df(i,j,bi,bj) |
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& - yA(i,j,bi,bj)*wc01_Kvz(i,j,k,bi,bj)*dTdz(bi,bj) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdx(bi,bj) = op5*( |
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& +op5*(maskW(i+1,j,k,bi,bj) |
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& *recip_dxC(i+1,j,bi,bj)* |
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& (fld_in(i+1,j,k,bi,bj)-fld_in(i,j,k,bi,bj)) |
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& +maskW(i,j,k,bi,bj) |
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& *recip_dxC(i,j,bi,bj)* |
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& (fld_in(i,j,k,bi,bj)-fld_in(i-1,j,k,bi,bj))) |
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& +op5*(maskW(i+1,j-1,k,bi,bj) |
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& *recip_dxC(i+1,j,bi,bj)* |
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& (fld_in(i+1,j-1,k,bi,bj)-fld_in(i,j-1,k,bi,bj)) |
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& +maskW(i,j-1,k,bi,bj) |
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& *recip_dxC(i,j,bi,bj)* |
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& (fld_in(i,j-1,k,bi,bj)-fld_in(i-1,j-1,k,bi,bj))) |
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& ) |
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df(i,j,bi,bj) = df(i,j,bi,bj) |
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& - yA(i,j,bi,bj)*wc01_Kvx(i,j,k,bi,bj)*dTdx(bi,bj) |
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ENDDO |
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ENDDO |
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c /// end for y /// |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fMer(i,j,k,bi,bj) = fMer(i,j,k,bi,bj) + df(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j,bi,bj) = 0. |
| 242 |
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ENDDO |
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ENDDO |
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c /// GAD_DIFF_R /// |
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| 247 |
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if (.NOT. wc01_implicitDiffusion ) then |
| 248 |
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| 249 |
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IF (k.gt.1) then |
| 250 |
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DO j=jMin,jMax |
| 251 |
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DO i=iMin,iMax |
| 252 |
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df(i,j,bi,bj) = |
| 253 |
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& -_rA(i,j,bi,bj) |
| 254 |
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& *KappaRwc01(i,j,k,bi,bj)*recip_drC(k) |
| 255 |
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& *(fld_in(i,j,k,bi,bj) |
| 256 |
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& -fld_in(i,j,k-1,bi,bj))*rkSign |
| 257 |
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ENDDO |
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ENDDO |
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ENDIF |
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endif |
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c ///gmredi rtrans/// |
| 264 |
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| 265 |
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IF (K.GT.1) THEN |
| 266 |
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DO j=jMin,jMax |
| 267 |
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DO i=iMin,iMax |
| 268 |
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dTdx(bi,bj) = op5*( |
| 269 |
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& +op5*(maskW(i+1,j,k,bi,bj) |
| 270 |
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& *recip_dxC(i+1,j,bi,bj)* |
| 271 |
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& (fld_in(i+1,j,k,bi,bj)-fld_in(i,j,k,bi,bj)) |
| 272 |
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& +maskW(i,j,k,bi,bj) |
| 273 |
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& *recip_dxC(i,j,bi,bj)* |
| 274 |
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& (fld_in(i,j,k,bi,bj)-fld_in(i-1,j,k,bi,bj))) |
| 275 |
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& +op5*(maskW(i+1,j,k-1,bi,bj) |
| 276 |
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& *recip_dxC(i+1,j,bi,bj)* |
| 277 |
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& (fld_in(i+1,j,k-1,bi,bj)-fld_in(i,j,k-1,bi,bj)) |
| 278 |
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& +maskW(i,j,k-1,bi,bj) |
| 279 |
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& *recip_dxC(i,j,bi,bj)* |
| 280 |
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& (fld_in(i,j,k-1,bi,bj)-fld_in(i-1,j,k-1,bi,bj))) |
| 281 |
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& ) |
| 282 |
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| 283 |
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dTdy(bi,bj) = op5*( |
| 284 |
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& +op5*(maskS(i,j,k,bi,bj) |
| 285 |
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& *recip_dyC(i,j,bi,bj)* |
| 286 |
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& (fld_in(i,j,k,bi,bj)-fld_in(i,j-1,k,bi,bj)) |
| 287 |
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& +maskS(i,j+1,k,bi,bj) |
| 288 |
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& *recip_dyC(i,j+1,bi,bj)* |
| 289 |
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& (fld_in(i,j+1,k,bi,bj)-fld_in(i,j,k,bi,bj))) |
| 290 |
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& +op5*(maskS(i,j,k-1,bi,bj) |
| 291 |
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& *recip_dyC(i,j,bi,bj)* |
| 292 |
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& (fld_in(i,j,k-1,bi,bj)-fld_in(i,j-1,k-1,bi,bj)) |
| 293 |
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& +maskS(i,j+1,k-1,bi,bj) |
| 294 |
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& *recip_dyC(i,j+1,bi,bj)* |
| 295 |
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& (fld_in(i,j+1,k-1,bi,bj)-fld_in(i,j,k-1,bi,bj))) |
| 296 |
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& ) |
| 297 |
|
|
|
| 298 |
|
|
df(i,j,bi,bj) = df(i,j,bi,bj) |
| 299 |
|
|
& - rA(i,j,bi,bj) |
| 300 |
|
|
& *( wc01_Kwx(i,j,k,bi,bj)*dTdx(bi,bj) |
| 301 |
|
|
& +wc01_Kwy(i,j,k,bi,bj)*dTdy(bi,bj) ) |
| 302 |
|
|
|
| 303 |
|
|
ENDDO |
| 304 |
|
|
ENDDO |
| 305 |
|
|
|
| 306 |
|
|
ENDIF |
| 307 |
|
|
|
| 308 |
|
|
|
| 309 |
|
|
c /// end for r /// |
| 310 |
|
|
|
| 311 |
|
|
IF (K.GT.1) THEN |
| 312 |
|
|
DO j=jMin,jMax |
| 313 |
|
|
DO i=iMin,iMax |
| 314 |
|
|
fVerT(i,j,k-1,bi,bj) = fVerT(i,j,k-1,bi,bj) + |
| 315 |
|
|
& df(i,j,bi,bj)*maskUp(i,j,bi,bj) |
| 316 |
|
|
ENDDO |
| 317 |
|
|
ENDDO |
| 318 |
|
|
ENDIF |
| 319 |
|
|
|
| 320 |
|
|
DO j=jMin,jMax |
| 321 |
|
|
DO i=iMin,iMax |
| 322 |
|
|
df(i,j,bi,bj) = 0. |
| 323 |
|
|
ENDDO |
| 324 |
|
|
ENDDO |
| 325 |
|
|
|
| 326 |
|
|
ENDDO |
| 327 |
|
|
|
| 328 |
|
|
ENDDO |
| 329 |
|
|
ENDDO |
| 330 |
|
|
|
| 331 |
|
|
c these exchanges are crucial... two bibj loops |
| 332 |
gforget |
1.2 |
_EXCH_XYZ_RL ( fZon , myThid ) |
| 333 |
|
|
_EXCH_XYZ_RL ( fMer , myThid ) |
| 334 |
|
|
_EXCH_XYZ_RL ( fVerT, myThid ) |
| 335 |
gforget |
1.1 |
|
| 336 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 337 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 338 |
|
|
c 3rd k loop: Divergence of fluxes |
| 339 |
|
|
DO k=1,Nr |
| 340 |
|
|
IF (K.GT.1) THEN |
| 341 |
|
|
DO j=jMin,jMax |
| 342 |
|
|
DO i=iMin,iMax |
| 343 |
|
|
gt_in(i,j,k,bi,bj)=gt_in(i,j,k,bi,bj) |
| 344 |
|
|
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
| 345 |
|
|
& *( (fZon(i+1,j,k,bi,bj)-fZon(i,j,k,bi,bj)) |
| 346 |
|
|
& +(fMer(i,j+1,k,bi,bj)-fMer(i,j,k,bi,bj)) |
| 347 |
|
|
& +(fVerT(i,j,k,bi,bj)-fVerT(i,j,k-1,bi,bj))*rkSign |
| 348 |
|
|
& ) |
| 349 |
|
|
ENDDO |
| 350 |
|
|
ENDDO |
| 351 |
|
|
ELSE |
| 352 |
|
|
DO j=jMin,jMax |
| 353 |
|
|
DO i=iMin,iMax |
| 354 |
|
|
gt_in(i,j,k,bi,bj)=gt_in(i,j,k,bi,bj) |
| 355 |
|
|
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
| 356 |
|
|
& *( (fZon(i+1,j,k,bi,bj)-fZon(i,j,k,bi,bj)) |
| 357 |
|
|
& +(fMer(i,j+1,k,bi,bj)-fMer(i,j,k,bi,bj)) |
| 358 |
|
|
& +(fVerT(i,j,k,bi,bj))*rkSign |
| 359 |
|
|
& ) |
| 360 |
|
|
ENDDO |
| 361 |
|
|
ENDDO |
| 362 |
|
|
ENDIF |
| 363 |
|
|
ENDDO |
| 364 |
|
|
ENDDO |
| 365 |
|
|
ENDDO |
| 366 |
|
|
|
| 367 |
gforget |
1.2 |
_EXCH_XYZ_RL ( gt_in , myThid ) |
| 368 |
gforget |
1.1 |
|
| 369 |
|
|
END |
| 370 |
|
|
|
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