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C $Header: /u/gcmpack/MITgcm/pkg/smooth/smooth_rhs.F,v 1.2 2012/08/21 13:46:30 gforget Exp $ |
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C $Name: $ |
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|
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#include "SMOOTH_OPTIONS.h" |
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|
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C !INTERFACE: ========================================================== |
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SUBROUTINE smooth_rhs(fld_in,gt_in,myThid) |
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|
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C *==========================================================* |
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C | SUBROUTINE smooth_rhs |
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C | o As part of smooth_diff3D, this routine computes the |
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C | right hand side of the tendency equation (see below). |
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C | It is made of bits from model/src and pkg/generic_advdiff |
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C | pieced togheter. |
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C *==========================================================* |
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|
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|
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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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|
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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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c#include "EESUPPORT.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "SMOOTH.h" |
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|
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C !INPUT PARAMETERS: =================================================== |
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INTEGER myThid |
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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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|
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|
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C local variables: |
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|
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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 i,j,k |
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|
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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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|
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
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|
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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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|
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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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|
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c 2nd k loop: flux computation |
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DO k=1,Nr |
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|
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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)*smooth_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)*smooth_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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|
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c ///gmredi_xtr/// |
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|
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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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& *smooth3D_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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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdz(bi,bj) = 0.5*( |
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& +0.5*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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& +0.5*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)*smooth3D_Kuz(i,j,k,bi,bj)*dTdz(bi,bj) |
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ENDDO |
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ENDDO |
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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdy(bi,bj) = 0.5*( |
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& +0.5*(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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& +0.5*(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)*smooth3D_Kuy(i,j,k,bi,bj)*dTdy(bi,bj) |
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ENDDO |
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ENDDO |
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|
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|
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c /// end for x /// |
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|
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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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|
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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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|
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c ///gmredi_ytr/// |
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|
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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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& *smooth3D_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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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdz(bi,bj) = 0.5*( |
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& +0.5*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)) |
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& ) |
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& +0.5*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)*smooth3D_Kvz(i,j,k,bi,bj)*dTdz(bi,bj) |
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ENDDO |
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ENDDO |
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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdx(bi,bj) = 0.5*( |
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& +0.5*(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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& +0.5*(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)*smooth3D_Kvx(i,j,k,bi,bj)*dTdx(bi,bj) |
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ENDDO |
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ENDDO |
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|
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c /// end for y /// |
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|
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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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|
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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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|
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c /// GAD_DIFF_R /// |
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|
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if (.NOT. smooth3DdoImpldiff ) then |
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|
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IF (k.gt.1) then |
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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) = |
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& -_rA(i,j,bi,bj) |
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& *smooth3D_kappaR(i,j,k,bi,bj)*recip_drC(k) |
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& *(fld_in(i,j,k,bi,bj) |
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& -fld_in(i,j,k-1,bi,bj))*rkSign |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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endif |
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|
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c ///gmredi rtrans/// |
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|
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IF (K.GT.1) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdx(bi,bj) = 0.5*( |
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& +0.5*(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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& +0.5*(maskW(i+1,j,k-1,bi,bj) |
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& *recip_dxC(i+1,j,bi,bj)* |
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& (fld_in(i+1,j,k-1,bi,bj)-fld_in(i,j,k-1,bi,bj)) |
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& +maskW(i,j,k-1,bi,bj) |
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& *recip_dxC(i,j,bi,bj)* |
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& (fld_in(i,j,k-1,bi,bj)-fld_in(i-1,j,k-1,bi,bj))) |
| 280 |
& ) |
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|
| 282 |
dTdy(bi,bj) = 0.5*( |
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& +0.5*(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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& +0.5*(maskS(i,j,k-1,bi,bj) |
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& *recip_dyC(i,j,bi,bj)* |
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& (fld_in(i,j,k-1,bi,bj)-fld_in(i,j-1,k-1,bi,bj)) |
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& +maskS(i,j+1,k-1,bi,bj) |
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& *recip_dyC(i,j+1,bi,bj)* |
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& (fld_in(i,j+1,k-1,bi,bj)-fld_in(i,j,k-1,bi,bj))) |
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& ) |
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|
| 297 |
df(i,j,bi,bj) = df(i,j,bi,bj) |
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& - rA(i,j,bi,bj) |
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& *( smooth3D_Kwx(i,j,k,bi,bj)*dTdx(bi,bj) |
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& +smooth3D_Kwy(i,j,k,bi,bj)*dTdy(bi,bj) ) |
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|
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ENDDO |
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ENDDO |
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ENDIF |
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|
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|
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c /// end for r /// |
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|
| 309 |
IF (K.GT.1) THEN |
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DO j=jMin,jMax |
| 311 |
DO i=iMin,iMax |
| 312 |
fVerT(i,j,k-1,bi,bj) = fVerT(i,j,k-1,bi,bj) + |
| 313 |
& df(i,j,bi,bj)*maskUp(i,j,bi,bj) |
| 314 |
ENDDO |
| 315 |
ENDDO |
| 316 |
ENDIF |
| 317 |
|
| 318 |
DO j=jMin,jMax |
| 319 |
DO i=iMin,iMax |
| 320 |
df(i,j,bi,bj) = 0. |
| 321 |
ENDDO |
| 322 |
ENDDO |
| 323 |
|
| 324 |
ENDDO !k |
| 325 |
ENDDO !bi |
| 326 |
ENDDO !bj |
| 327 |
|
| 328 |
c these exchanges are crucial: |
| 329 |
CALL EXCH_UV_XYZ_RL(fZon,fMer,.TRUE.,myThid) |
| 330 |
_EXCH_XYZ_RL ( fVerT, myThid ) |
| 331 |
|
| 332 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 333 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 334 |
c 3rd k loop: Divergence of fluxes |
| 335 |
DO k=1,Nr |
| 336 |
IF (K.GT.1) THEN |
| 337 |
DO j=jMin,jMax |
| 338 |
DO i=iMin,iMax |
| 339 |
gt_in(i,j,k,bi,bj)=gt_in(i,j,k,bi,bj) |
| 340 |
& -smooth_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 341 |
& *recip_rA(i,j,bi,bj) |
| 342 |
& *( (fZon(i+1,j,k,bi,bj)-fZon(i,j,k,bi,bj)) |
| 343 |
& +(fMer(i,j+1,k,bi,bj)-fMer(i,j,k,bi,bj)) |
| 344 |
& +(fVerT(i,j,k,bi,bj)-fVerT(i,j,k-1,bi,bj))*rkSign |
| 345 |
& ) |
| 346 |
ENDDO |
| 347 |
ENDDO |
| 348 |
ELSE |
| 349 |
DO j=jMin,jMax |
| 350 |
DO i=iMin,iMax |
| 351 |
gt_in(i,j,k,bi,bj)=gt_in(i,j,k,bi,bj) |
| 352 |
& -smooth_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 353 |
& *recip_rA(i,j,bi,bj) |
| 354 |
& *( (fZon(i+1,j,k,bi,bj)-fZon(i,j,k,bi,bj)) |
| 355 |
& +(fMer(i,j+1,k,bi,bj)-fMer(i,j,k,bi,bj)) |
| 356 |
& +(fVerT(i,j,k,bi,bj))*rkSign |
| 357 |
& ) |
| 358 |
ENDDO |
| 359 |
ENDDO |
| 360 |
ENDIF |
| 361 |
ENDDO |
| 362 |
|
| 363 |
ENDDO |
| 364 |
ENDDO |
| 365 |
|
| 366 |
_EXCH_XYZ_RL ( gt_in , myThid ) |
| 367 |
|
| 368 |
END |
| 369 |
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