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C $Header: /u/gcmpack/models/MITgcmUV/model/src/calc_gt.F,v 1.21 1999/05/24 14:24:24 adcroft Exp $ |
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|
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#include "CPP_OPTIONS.h" |
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|
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CStartOfInterFace |
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SUBROUTINE CALC_GT( |
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I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
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I xA,yA,uTrans,vTrans,rTrans,maskup,maskC, |
| 9 |
I K13,K23,KappaRT,KapGM, |
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U af,df,fZon,fMer,fVerT, |
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I myCurrentTime, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE CALC_GT | |
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C | o Calculate the temperature tendency terms. | |
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C |==========================================================| |
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C | A procedure called EXTERNAL_FORCING_T is called from | |
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C | here. These procedures can be used to add per problem | |
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C | heat flux source terms. | |
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C | Note: Although it is slightly counter-intuitive the | |
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C | EXTERNAL_FORCING routine is not the place to put | |
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C | file I/O. Instead files that are required to | |
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C | calculate the external source terms are generally | |
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C | read during the model main loop. This makes the | |
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C | logisitics of multi-processing simpler and also | |
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C | makes the adjoint generation simpler. It also | |
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C | allows for I/O to overlap computation where that | |
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C | is supported by hardware. | |
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C | Aside from the problem specific term the code here | |
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C | forms the tendency terms due to advection and mixing | |
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C | The baseline implementation here uses a centered | |
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C | difference form for the advection term and a tensorial | |
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C | divergence of a flux form for the diffusive term. The | |
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C | diffusive term is formulated so that isopycnal mixing and| |
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C | GM-style subgrid-scale terms can be incorporated b simply| |
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C | setting the diffusion tensor terms appropriately. | |
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C \==========================================================/ |
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IMPLICIT NONE |
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|
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C == GLobal variables == |
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#include "SIZE.h" |
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#include "DYNVARS.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 "FFIELDS.h" |
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#ifdef ALLOW_KPP |
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#include "KPPMIX.h" |
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#endif |
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|
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|
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C == Routine arguments == |
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C fZon - Work array for flux of temperature in the east-west |
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C direction at the west face of a cell. |
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C fMer - Work array for flux of temperature in the north-south |
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C direction at the south face of a cell. |
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C fVerT - Flux of temperature (T) in the vertical |
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C direction at the upper(U) and lower(D) faces of a cell. |
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C maskUp - Land mask used to denote base of the domain. |
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C maskC - Land mask for theta cells (used in TOP_LAYER only) |
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C xA - Tracer cell face area normal to X |
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C yA - Tracer cell face area normal to X |
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C uTrans - Zonal volume transport through cell face |
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C vTrans - Meridional volume transport through cell face |
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C rTrans - Vertical volume transport through cell face |
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C af - Advective flux component work array |
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C df - Diffusive flux component work array |
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C bi, bj, iMin, iMax, jMin, jMax - Range of points for which calculation |
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C results will be set. |
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C myThid - Instance number for this innvocation of CALC_GT |
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_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL K13 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL K23 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL KappaRT(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL af (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL df (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER k,kUp,kDown,kM1 |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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INTEGER myThid |
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_RL myCurrentTime |
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CEndOfInterface |
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|
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C == Local variables == |
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C I, J, K - Loop counters |
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INTEGER i,j |
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LOGICAL TOP_LAYER |
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_RL afFacT, dfFacT |
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_RL dTdx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dTdy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#ifdef ALLOW_KPP |
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_RS hbl (1-OLx:sNx+OLx,1-OLy:sNy+OLy) ! used by KPP mixing scheme |
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_RS frac (1-OLx:sNx+OLx,1-OLy:sNy+OLy) ! used by KPP mixing scheme |
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_RS negone ! used as argument to SWFRAC |
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integer jwtype ! index for Jerlov water type |
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#endif |
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|
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afFacT = 1. _d 0 |
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dfFacT = 1. _d 0 |
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TOP_LAYER = K .EQ. 1 |
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|
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C--- Calculate advective and diffusive fluxes between cells. |
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|
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#ifdef INCLUDE_T_DIFFUSION_CODE |
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C o Zonal tracer gradient |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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dTdx(i,j) = _recip_dxC(i,j,bi,bj)* |
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& (theta(i,j,k,bi,bj)-theta(i-1,j,k,bi,bj)) |
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ENDDO |
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ENDDO |
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C o Meridional tracer gradient |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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dTdy(i,j) = _recip_dyC(i,j,bi,bj)* |
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& (theta(i,j,k,bi,bj)-theta(i,j-1,k,bi,bj)) |
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ENDDO |
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ENDDO |
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|
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C-- del^2 of T, needed for bi-harmonic (del^4) term |
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IF (diffK4T .NE. 0.) THEN |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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df4(i,j)= _recip_hFacC(i,j,k,bi,bj) |
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& *recip_drF(k)/_rA(i,j,bi,bj) |
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& *( |
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& +( xA(i+1,j)*dTdx(i+1,j)-xA(i,j)*dTdx(i,j) ) |
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& +( yA(i,j+1)*dTdy(i,j+1)-yA(i,j)*dTdy(i,j) ) |
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& ) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif |
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|
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C-- Zonal flux (fZon is at west face of "theta" cell) |
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#ifdef INCLUDE_T_ADVECTION_CODE |
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C o Advective component of zonal flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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af(i,j) = |
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& uTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i-1,j,k,bi,bj))*0.5 _d 0 |
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ENDDO |
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ENDDO |
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#endif /* INCLUDE_T_ADVECTION_CODE */ |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
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C o Diffusive component of zonal flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = -(diffKhT+0.5*(KapGM(i,j)+KapGM(i-1,j)))* |
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& xA(i,j)*dTdx(i,j) |
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ENDDO |
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ENDDO |
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C o Add the bi-harmonic contribution |
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IF (diffK4T .NE. 0.) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = df(i,j) + xA(i,j)* |
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& diffK4T*(df4(i,j)-df4(i-1,j))*_recip_dxC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* INCLUDE_T_DIFFUSION_CODE */ |
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C o Net zonal flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fZon(i,j) = 0. |
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_ADT(& + afFacT*af(i,j) ) |
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_LPT(& + dfFacT*df(i,j) ) |
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ENDDO |
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ENDDO |
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|
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C-- Meridional flux (fMer is at south face of "theta" cell) |
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#ifdef INCLUDE_T_ADVECTION_CODE |
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C o Advective component of meridional flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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af(i,j) = |
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& vTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i,j-1,k,bi,bj))*0.5 _d 0 |
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ENDDO |
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ENDDO |
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#endif /* INCLUDE_T_ADVECTION_CODE */ |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
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C o Diffusive component of meridional flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = -(diffKhT+0.5*(KapGM(i,j)+KapGM(i,j-1)))* |
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& yA(i,j)*dTdy(i,j) |
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ENDDO |
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ENDDO |
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C o Add the bi-harmonic contribution |
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IF (diffK4T .NE. 0.) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = df(i,j) + yA(i,j)* |
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& diffK4T*(df4(i,j)-df4(i,j-1))*_recip_dyC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* INCLUDE_T_DIFFUSION_CODE */ |
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C o Net meridional flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fMer(i,j) = 0. |
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_ADT(& + afFacT*af(i,j) ) |
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_LPT(& + dfFacT*df(i,j) ) |
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ENDDO |
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ENDDO |
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|
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#ifdef INCLUDE_T_DIFFUSION_CODE |
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C-- Terms that diffusion tensor projects onto z |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dTdx(i,j) = 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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& (theta(i+1,j,k,bi,bj)-theta(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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& (theta(i,j,k,bi,bj)-theta(i-1,j,k,bi,bj))) |
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& +0.5*(_maskW(i+1,j,km1,bi,bj) |
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& *_recip_dxC(i+1,j,bi,bj)* |
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& (theta(i+1,j,km1,bi,bj)-theta(i,j,km1,bi,bj)) |
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& +_maskW(i,j,km1,bi,bj) |
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& *_recip_dxC(i,j,bi,bj)* |
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& (theta(i,j,km1,bi,bj)-theta(i-1,j,km1,bi,bj))) |
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& ) |
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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(i,j) = 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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& (theta(i,j,k,bi,bj)-theta(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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& (theta(i,j+1,k,bi,bj)-theta(i,j,k,bi,bj))) |
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& +0.5*(_maskS(i,j,km1,bi,bj) |
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& *_recip_dyC(i,j,bi,bj)* |
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& (theta(i,j,km1,bi,bj)-theta(i,j-1,km1,bi,bj)) |
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& +_maskS(i,j+1,km1,bi,bj) |
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& *_recip_dyC(i,j+1,bi,bj)* |
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& (theta(i,j+1,km1,bi,bj)-theta(i,j,km1,bi,bj))) |
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& ) |
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ENDDO |
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ENDDO |
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#endif /* INCLUDE_T_DIFFUSION_CODE */ |
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|
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C-- Vertical flux ( fVerT(,,kUp) is at upper face of "theta" cell ) |
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#ifdef INCLUDE_T_ADVECTION_CODE |
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C o Advective component of vertical flux |
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C Note: For K=1 then KM1=1 this gives a barZ(T) = T |
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C (this plays the role of the free-surface correction) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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af(i,j) = |
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& rTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i,j,kM1,bi,bj))*0.5 _d 0 |
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ENDDO |
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ENDDO |
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#endif /* INCLUDE_T_ADVECTION_CODE */ |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
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C o Diffusive component of vertical flux |
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C Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper |
| 273 |
C boundary condition. |
| 274 |
DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = _rA(i,j,bi,bj)*( |
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& -KapGM(i,j)*K13(i,j,k)*dTdx(i,j) |
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& -KapGM(i,j)*K23(i,j,k)*dTdy(i,j) |
| 279 |
& ) |
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ENDDO |
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ENDDO |
| 282 |
IF (.NOT.implicitDiffusion) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = df(i,j) + _rA(i,j,bi,bj)*( |
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& -KappaRT(i,j,k)*recip_drC(k) |
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& *(theta(i,j,kM1,bi,bj)-theta(i,j,k,bi,bj))*rkFac |
| 288 |
& ) |
| 289 |
ENDDO |
| 290 |
ENDDO |
| 291 |
ENDIF |
| 292 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
| 293 |
|
| 294 |
#ifdef ALLOW_KPP |
| 295 |
IF (usingKPPmixing) THEN |
| 296 |
C-- Compute fraction of solar short-wave flux penetrating to |
| 297 |
C the bottom of the mixing layer |
| 298 |
DO j=jMin,jMax |
| 299 |
DO i=iMin,iMax |
| 300 |
hbl(i,j) = KPPhbl(i,j,bi,bj) |
| 301 |
ENDDO |
| 302 |
ENDDO |
| 303 |
j=(sNx+2*OLx)*(sNy+2*OLy) |
| 304 |
jwtype = 3 |
| 305 |
negone = -1. |
| 306 |
CALL SWFRAC( |
| 307 |
I j, negone, hbl, jwtype, |
| 308 |
O frac ) |
| 309 |
|
| 310 |
C Add non local transport coefficient (ghat term) to right-hand-side |
| 311 |
C The nonlocal transport term is noNrero only for scalars in unstable |
| 312 |
C (convective) forcing conditions. |
| 313 |
C Note: -[Qnet * delZ(1) + Qsw * (1-frac) / KPPhbl] * 4000 * rho |
| 314 |
C is the total heat flux |
| 315 |
C penetrating the mixed layer from the surface in (deg C / s) |
| 316 |
IF ( TOP_LAYER ) THEN |
| 317 |
DO j=jMin,jMax |
| 318 |
DO i=iMin,iMax |
| 319 |
df(i,j) = df(i,j) + _rA(i,j,bi,bj) * |
| 320 |
& ( Qnet(i,j,bi,bj) * delZ(1) + |
| 321 |
& Qsw(i,j,bi,bj) * (1.-frac(i,j)) |
| 322 |
& / KPPhbl(i,j,bi,bj) ) * |
| 323 |
& ( KappaRT(i,j,k) * KPPghat(i,j,k, bi,bj) ) |
| 324 |
ENDDO |
| 325 |
ENDDO |
| 326 |
ELSE |
| 327 |
DO j=jMin,jMax |
| 328 |
DO i=iMin,iMax |
| 329 |
df(i,j) = df(i,j) + _rA(i,j,bi,bj) * |
| 330 |
& ( Qnet(i,j,bi,bj) * delZ(1) + |
| 331 |
& Qsw(i,j,bi,bj) * (1.-frac(i,j)) |
| 332 |
& / KPPhbl(i,j,bi,bj) ) * |
| 333 |
& ( KappaRT(i,j,k) * KPPghat(i,j,k, bi,bj) |
| 334 |
& - KappaRT(i,j,k-1) * KPPghat(i,j,k-1,bi,bj) ) |
| 335 |
ENDDO |
| 336 |
ENDDO |
| 337 |
ENDIF |
| 338 |
ENDIF |
| 339 |
#endif /* ALLOW_KPP */ |
| 340 |
|
| 341 |
C o Net vertical flux |
| 342 |
DO j=jMin,jMax |
| 343 |
DO i=iMin,iMax |
| 344 |
fVerT(i,j,kUp) = 0. |
| 345 |
_ADT(& +afFacT*af(i,j)*maskUp(i,j) ) |
| 346 |
_LPT(& +dfFacT*df(i,j)*maskUp(i,j) ) |
| 347 |
ENDDO |
| 348 |
ENDDO |
| 349 |
#ifdef INCLUDE_T_ADVECTION_CODE |
| 350 |
IF ( TOP_LAYER ) THEN |
| 351 |
DO j=jMin,jMax |
| 352 |
DO i=iMin,iMax |
| 353 |
fVerT(i,j,kUp) = afFacT*af(i,j)*freeSurfFac |
| 354 |
ENDDO |
| 355 |
ENDDO |
| 356 |
ENDIF |
| 357 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
| 358 |
|
| 359 |
C-- Tendency is minus divergence of the fluxes. |
| 360 |
C Note. Tendency terms will only be correct for range |
| 361 |
C i=iMin+1:iMax-1, j=jMin+1:jMax-1. Edge points |
| 362 |
C will contain valid floating point numbers but |
| 363 |
C they are not algorithmically correct. These points |
| 364 |
C are not used. |
| 365 |
DO j=jMin,jMax |
| 366 |
DO i=iMin,iMax |
| 367 |
#define _recip_VolT1(i,j,k,bi,bj) _recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 368 |
#define _recip_VolT2(i,j,k,bi,bj) /_rA(i,j,bi,bj) |
| 369 |
gT(i,j,k,bi,bj)= |
| 370 |
& -_recip_VolT1(i,j,k,bi,bj) |
| 371 |
& _recip_VolT2(i,j,k,bi,bj) |
| 372 |
& *( |
| 373 |
& +( fZon(i+1,j)-fZon(i,j) ) |
| 374 |
& +( fMer(i,j+1)-fMer(i,j) ) |
| 375 |
& +( fVerT(i,j,kUp)-fVerT(i,j,kDown) )*rkFac |
| 376 |
& ) |
| 377 |
ENDDO |
| 378 |
ENDDO |
| 379 |
|
| 380 |
#ifdef INCLUDE_T_FORCING_CODE |
| 381 |
C-- External thermal forcing term(s) |
| 382 |
CALL EXTERNAL_FORCING_T( |
| 383 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
| 384 |
I maskC, |
| 385 |
I myCurrentTime,myThid) |
| 386 |
#endif /* INCLUDE_T_FORCING_CODE */ |
| 387 |
|
| 388 |
#ifdef INCLUDE_LAT_CIRC_FFT_FILTER_CODE |
| 389 |
C-- Zonal FFT filter of tendency |
| 390 |
CALL FILTER_LATCIRCS_FFT_APPLY( |
| 391 |
U gT, |
| 392 |
I 1, sNy, k, k, bi, bj, 1, myThid) |
| 393 |
#endif /* INCLUDE_LAT_CIRC_FFT_FILTER_CODE */ |
| 394 |
|
| 395 |
|
| 396 |
RETURN |
| 397 |
END |
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