1 |
adcroft |
1.4 |
C $Header: /u/gcmpack/models/MITgcmUV/pkg/generic_advdiff/gad_calc_rhs.F,v 1.3 2001/08/30 00:40:37 adcroft Exp $ |
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jmc |
1.2 |
C $Name: $ |
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adcroft |
1.1 |
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#include "GAD_OPTIONS.h" |
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SUBROUTINE GAD_CALC_RHS( |
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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, |
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I diffKh, diffK4, KappaRT, Tracer, |
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adcroft |
1.3 |
I tracerIdentity, advectionScheme, |
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adcroft |
1.1 |
U fVerT, gTracer, |
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I myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE GAD_CALC_RHS | |
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C |==========================================================| |
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C \==========================================================/ |
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IMPLICIT NONE |
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C == GLobal variables == |
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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 "DYNVARS.h" |
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#include "GAD.h" |
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C == Routine arguments == |
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INTEGER k,kUp,kDown,kM1 |
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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) |
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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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_RL diffKh, diffK4 |
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_RL KappaRT(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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INTEGER tracerIdentity |
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adcroft |
1.3 |
INTEGER advectionScheme |
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adcroft |
1.1 |
_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL gTracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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INTEGER myThid |
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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 df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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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 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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_RL localT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- only the kUp part of fverT is set in this subroutine |
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C-- the kDown is still required |
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fVerT(1,1,kDown) = fVerT(1,1,kDown) |
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#endif |
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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) = 0.0 |
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fMer(i,j) = 0.0 |
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fVerT(i,j,kUp) = 0.0 |
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ENDDO |
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ENDDO |
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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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C-- Make local copy of tracer array |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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localT(i,j)=tracer(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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C-- Pre-calculate del^2 T if bi-harmonic coefficient is non-zero |
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IF (diffK4 .NE. 0.) THEN |
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CALL GAD_GRAD_X(bi,bj,k,xA,localT,fZon,myThid) |
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CALL GAD_GRAD_Y(bi,bj,k,yA,localT,fMer,myThid) |
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CALL GAD_DEL2(bi,bj,k,fZon,fMer,df4,myThid) |
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ENDIF |
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C-- Initialize net flux in X direction |
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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) = 0. |
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ENDDO |
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ENDDO |
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C- Advective flux in X |
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adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
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adcroft |
1.1 |
CALL GAD_C2_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
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adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
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adcroft |
1.1 |
CALL GAD_FLUXLIMIT_ADV_X( |
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& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid) |
102 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
103 |
jmc |
1.2 |
CALL GAD_U3_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
104 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
105 |
adcroft |
1.1 |
CALL GAD_C4_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
106 |
adcroft |
1.4 |
ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
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CALL GAD_DST3_ADV_X( |
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& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
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CALL GAD_DST3FL_ADV_X( |
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& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid) |
112 |
adcroft |
1.1 |
ELSE |
113 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (X)' |
114 |
adcroft |
1.1 |
ENDIF |
115 |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fZon(i,j) = fZon(i,j) + af(i,j) |
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ENDDO |
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ENDDO |
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C- Diffusive flux in X |
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IF (diffKh.NE.0.) THEN |
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CALL GAD_DIFF_X(bi,bj,k,xA,diffKh,localT,df,myThid) |
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ELSE |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = 0. |
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ENDDO |
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ENDDO |
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ENDIF |
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132 |
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#ifdef ALLOW_GMREDI |
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C- GM/Redi flux in X |
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IF (useGMRedi) THEN |
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C *note* should update GMREDI_XTRANSPORT to use localT and set df *aja* |
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CALL GMREDI_XTRANSPORT( |
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I iMin,iMax,jMin,jMax,bi,bj,K, |
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I xA,Tracer, |
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U df, |
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I myThid) |
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ENDIF |
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#endif |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fZon(i,j) = fZon(i,j) + df(i,j) |
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ENDDO |
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ENDDO |
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149 |
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C- Bi-harmonic duffusive flux in X |
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IF (diffK4 .NE. 0.) THEN |
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CALL GAD_BIHARM_X(bi,bj,k,xA,df4,diffK4,df,myThid) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fZon(i,j) = fZon(i,j) + df(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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C-- Initialize net flux in Y direction |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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fMer(i,j) = 0. |
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ENDDO |
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ENDDO |
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C- Advective flux in Y |
167 |
adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
168 |
adcroft |
1.1 |
CALL GAD_C2_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
169 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
170 |
adcroft |
1.1 |
CALL GAD_FLUXLIMIT_ADV_Y( |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
172 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
173 |
jmc |
1.2 |
CALL GAD_U3_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
174 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
175 |
adcroft |
1.1 |
CALL GAD_C4_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
176 |
adcroft |
1.4 |
ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
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CALL GAD_DST3_ADV_Y( |
178 |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
180 |
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CALL GAD_DST3FL_ADV_Y( |
181 |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
182 |
adcroft |
1.1 |
ELSE |
183 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (Y)' |
184 |
adcroft |
1.1 |
ENDIF |
185 |
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DO j=1-Oly,sNy+Oly |
186 |
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DO i=1-Olx,sNx+Olx |
187 |
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fMer(i,j) = fMer(i,j) + af(i,j) |
188 |
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ENDDO |
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ENDDO |
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191 |
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C- Diffusive flux in Y |
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IF (diffKh.NE.0.) THEN |
193 |
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CALL GAD_DIFF_Y(bi,bj,k,yA,diffKh,localT,df,myThid) |
194 |
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ELSE |
195 |
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DO j=1-Oly,sNy+Oly |
196 |
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DO i=1-Olx,sNx+Olx |
197 |
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df(i,j) = 0. |
198 |
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ENDDO |
199 |
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ENDDO |
200 |
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ENDIF |
201 |
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202 |
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#ifdef ALLOW_GMREDI |
203 |
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C- GM/Redi flux in Y |
204 |
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IF (useGMRedi) THEN |
205 |
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CALL GMREDI_YTRANSPORT( |
206 |
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C *note* should update GMREDI_YTRANSPORT to use localT and set df *aja* |
207 |
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I iMin,iMax,jMin,jMax,bi,bj,K, |
208 |
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I yA,Tracer, |
209 |
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U df, |
210 |
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I myThid) |
211 |
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ENDIF |
212 |
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#endif |
213 |
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DO j=1-Oly,sNy+Oly |
214 |
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DO i=1-Olx,sNx+Olx |
215 |
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fMer(i,j) = fMer(i,j) + df(i,j) |
216 |
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ENDDO |
217 |
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ENDDO |
218 |
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219 |
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C- Bi-harmonic flux in Y |
220 |
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IF (diffK4 .NE. 0.) THEN |
221 |
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CALL GAD_BIHARM_Y(bi,bj,k,yA,df4,diffK4,df,myThid) |
222 |
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DO j=1-Oly,sNy+Oly |
223 |
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DO i=1-Olx,sNx+Olx |
224 |
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fMer(i,j) = fMer(i,j) + df(i,j) |
225 |
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ENDDO |
226 |
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ENDDO |
227 |
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ENDIF |
228 |
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229 |
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C-- Initialize net flux in R |
230 |
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DO j=jMin,jMax |
231 |
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DO i=iMin,iMax |
232 |
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fVerT(i,j,kUp) = 0. |
233 |
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ENDDO |
234 |
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ENDDO |
235 |
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236 |
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C- Advective flux in R |
237 |
jmc |
1.2 |
C Note: wVel needs to be masked |
238 |
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IF (K.GE.2) THEN |
239 |
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C- Compute vertical advective flux in the interior: |
240 |
adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
241 |
jmc |
1.2 |
CALL GAD_C2_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
242 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
243 |
jmc |
1.2 |
CALL GAD_FLUXLIMIT_ADV_R( |
244 |
adcroft |
1.1 |
& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
245 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
246 |
jmc |
1.2 |
CALL GAD_U3_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
247 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
248 |
jmc |
1.2 |
CALL GAD_C4_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
249 |
adcroft |
1.4 |
ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
250 |
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c CALL GAD_DST3_ADV_R( |
251 |
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c & bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
252 |
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STOP 'GAD_CALC_RHS: GAD_DST3_ADV_R not coded yet' |
253 |
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ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
254 |
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c CALL GAD_DST3FL_ADV_R( |
255 |
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c & bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
256 |
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STOP 'GAD_CALC_RHS: GAD_DST3FL_ADV_R not coded yet' |
257 |
jmc |
1.2 |
ELSE |
258 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (R)' |
259 |
jmc |
1.2 |
ENDIF |
260 |
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C- Surface "correction" term at k>1 : |
261 |
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DO j=1-Oly,sNy+Oly |
262 |
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DO i=1-Olx,sNx+Olx |
263 |
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af(i,j) = af(i,j) |
264 |
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& + (maskC(i,j,k,bi,bj)-maskC(i,j,k-1,bi,bj))* |
265 |
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& rTrans(i,j)*Tracer(i,j,k,bi,bj) |
266 |
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ENDDO |
267 |
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ENDDO |
268 |
adcroft |
1.1 |
ELSE |
269 |
jmc |
1.2 |
C- Surface "correction" term at k=1 : |
270 |
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DO j=1-Oly,sNy+Oly |
271 |
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DO i=1-Olx,sNx+Olx |
272 |
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af(i,j) = rTrans(i,j)*Tracer(i,j,k,bi,bj) |
273 |
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ENDDO |
274 |
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ENDDO |
275 |
adcroft |
1.1 |
ENDIF |
276 |
jmc |
1.2 |
C- add the advective flux to fVerT |
277 |
adcroft |
1.1 |
DO j=jMin,jMax |
278 |
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DO i=iMin,iMax |
279 |
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fVerT(i,j,kUp) = fVerT(i,j,kUp) + afFacT*af(i,j) |
280 |
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ENDDO |
281 |
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ENDDO |
282 |
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283 |
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C- Diffusive flux in R |
284 |
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C Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper |
285 |
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C boundary condition. |
286 |
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IF (implicitDiffusion) THEN |
287 |
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DO j=jMin,jMax |
288 |
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DO i=iMin,iMax |
289 |
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df(i,j) = 0. |
290 |
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ENDDO |
291 |
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ENDDO |
292 |
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ELSE |
293 |
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CALL GAD_DIFF_R(bi,bj,k,KappaRT,tracer,df,myThid) |
294 |
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ENDIF |
295 |
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c DO j=jMin,jMax |
296 |
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c DO i=iMin,iMax |
297 |
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c fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
298 |
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c ENDDO |
299 |
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c ENDDO |
300 |
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301 |
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#ifdef ALLOW_GMREDI |
302 |
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C- GM/Redi flux in R |
303 |
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IF (useGMRedi) THEN |
304 |
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C *note* should update GMREDI_RTRANSPORT to set df *aja* |
305 |
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CALL GMREDI_RTRANSPORT( |
306 |
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I iMin,iMax,jMin,jMax,bi,bj,K, |
307 |
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I maskUp,Tracer, |
308 |
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U df, |
309 |
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I myThid) |
310 |
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c DO j=jMin,jMax |
311 |
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c DO i=iMin,iMax |
312 |
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c fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
313 |
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c ENDDO |
314 |
|
|
c ENDDO |
315 |
|
|
ENDIF |
316 |
|
|
#endif |
317 |
|
|
|
318 |
|
|
DO j=jMin,jMax |
319 |
|
|
DO i=iMin,iMax |
320 |
|
|
fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
321 |
|
|
ENDDO |
322 |
|
|
ENDDO |
323 |
|
|
|
324 |
|
|
#ifdef ALLOW_KPP |
325 |
|
|
C- Add non local KPP transport term (ghat) to diffusive T flux. |
326 |
|
|
IF (useKPP) THEN |
327 |
|
|
DO j=jMin,jMax |
328 |
|
|
DO i=iMin,iMax |
329 |
|
|
df(i,j) = 0. |
330 |
|
|
ENDDO |
331 |
|
|
ENDDO |
332 |
|
|
IF (tracerIdentity.EQ.GAD_TEMPERATURE) THEN |
333 |
|
|
C *note* should update KPP_TRANSPORT_T to set df *aja* |
334 |
|
|
CALL KPP_TRANSPORT_T( |
335 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
336 |
|
|
I KappaRT, |
337 |
|
|
U df ) |
338 |
|
|
ELSEIF (tracerIdentity.EQ.GAD_SALINITY) THEN |
339 |
|
|
CALL KPP_TRANSPORT_S( |
340 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
341 |
|
|
I KappaRT, |
342 |
|
|
U df ) |
343 |
|
|
ELSE |
344 |
|
|
STOP 'GAD_CALC_RHS: Ooops' |
345 |
|
|
ENDIF |
346 |
|
|
DO j=jMin,jMax |
347 |
|
|
DO i=iMin,iMax |
348 |
|
|
fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
349 |
|
|
ENDDO |
350 |
|
|
ENDDO |
351 |
|
|
ENDIF |
352 |
|
|
#endif |
353 |
|
|
|
354 |
|
|
C-- Divergence of fluxes |
355 |
|
|
DO j=jMin,jMax |
356 |
|
|
DO i=iMin,iMax |
357 |
|
|
gTracer(i,j,k,bi,bj)= |
358 |
|
|
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
359 |
|
|
& *recip_rA(i,j,bi,bj) |
360 |
|
|
& *( |
361 |
|
|
& +( fZon(i+1,j)-fZon(i,j) ) |
362 |
|
|
& +( fMer(i,j+1)-fMer(i,j) ) |
363 |
|
|
& +( fVerT(i,j,kUp)-fVerT(i,j,kDown) )*rkFac |
364 |
|
|
& ) |
365 |
|
|
ENDDO |
366 |
|
|
ENDDO |
367 |
|
|
|
368 |
|
|
RETURN |
369 |
|
|
END |