1 |
adcroft |
1.9 |
C $Header: /u/gcmpack/models/MITgcmUV/pkg/generic_advdiff/gad_calc_rhs.F,v 1.8 2001/09/10 01:22:48 adcroft Exp $ |
2 |
jmc |
1.2 |
C $Name: $ |
3 |
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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adcroft |
1.8 |
C-- Unless we have already calculated the advection terms we initialize |
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C the tendency to zero. |
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IF (.NOT. multiDimAdvection .OR. |
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& advectionScheme.EQ.ENUM_CENTERED_2ND .OR. |
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& advectionScheme.EQ.ENUM_UPWIND_3RD .OR. |
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& advectionScheme.EQ.ENUM_CENTERED_4TH ) THEN |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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gTracer(i,j,k,bi,bj)=0. |
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ENDDO |
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ENDDO |
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ENDIF |
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adcroft |
1.1 |
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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 |
107 |
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108 |
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C- Advective flux in X |
109 |
adcroft |
1.8 |
IF (.NOT. multiDimAdvection .OR. |
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& advectionScheme.EQ.ENUM_CENTERED_2ND .OR. |
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& advectionScheme.EQ.ENUM_UPWIND_3RD .OR. |
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& advectionScheme.EQ.ENUM_CENTERED_4TH ) THEN |
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adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
114 |
adcroft |
1.1 |
CALL GAD_C2_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
115 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
116 |
adcroft |
1.1 |
CALL GAD_FLUXLIMIT_ADV_X( |
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& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid) |
118 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
119 |
jmc |
1.2 |
CALL GAD_U3_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
120 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
121 |
adcroft |
1.1 |
CALL GAD_C4_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
122 |
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) |
128 |
adcroft |
1.1 |
ELSE |
129 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (X)' |
130 |
adcroft |
1.1 |
ENDIF |
131 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
132 |
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DO i=1-Olx,sNx+Olx |
133 |
adcroft |
1.1 |
fZon(i,j) = fZon(i,j) + af(i,j) |
134 |
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ENDDO |
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ENDDO |
136 |
adcroft |
1.8 |
ENDIF |
137 |
adcroft |
1.1 |
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C- Diffusive flux in X |
139 |
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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) |
141 |
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ELSE |
142 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
143 |
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DO i=1-Olx,sNx+Olx |
144 |
adcroft |
1.1 |
df(i,j) = 0. |
145 |
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ENDDO |
146 |
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ENDDO |
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ENDIF |
148 |
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149 |
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#ifdef ALLOW_GMREDI |
150 |
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C- GM/Redi flux in X |
151 |
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IF (useGMRedi) THEN |
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C *note* should update GMREDI_XTRANSPORT to use localT and set df *aja* |
153 |
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CALL GMREDI_XTRANSPORT( |
154 |
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I iMin,iMax,jMin,jMax,bi,bj,K, |
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I xA,Tracer, |
156 |
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U df, |
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I myThid) |
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ENDIF |
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#endif |
160 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
161 |
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DO i=1-Olx,sNx+Olx |
162 |
adcroft |
1.1 |
fZon(i,j) = fZon(i,j) + df(i,j) |
163 |
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ENDDO |
164 |
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ENDDO |
165 |
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166 |
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C- Bi-harmonic duffusive flux in X |
167 |
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IF (diffK4 .NE. 0.) THEN |
168 |
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CALL GAD_BIHARM_X(bi,bj,k,xA,df4,diffK4,df,myThid) |
169 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
170 |
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DO i=1-Olx,sNx+Olx |
171 |
adcroft |
1.1 |
fZon(i,j) = fZon(i,j) + df(i,j) |
172 |
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ENDDO |
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ENDDO |
174 |
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ENDIF |
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176 |
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C-- Initialize net flux in Y direction |
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DO j=1-Oly,sNy+Oly |
178 |
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DO i=1-Olx,sNx+Olx |
179 |
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fMer(i,j) = 0. |
180 |
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ENDDO |
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ENDDO |
182 |
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183 |
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C- Advective flux in Y |
184 |
adcroft |
1.8 |
IF (.NOT. multiDimAdvection .OR. |
185 |
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& advectionScheme.EQ.ENUM_CENTERED_2ND .OR. |
186 |
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& advectionScheme.EQ.ENUM_UPWIND_3RD .OR. |
187 |
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& advectionScheme.EQ.ENUM_CENTERED_4TH ) THEN |
188 |
adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
189 |
adcroft |
1.1 |
CALL GAD_C2_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
190 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
191 |
adcroft |
1.1 |
CALL GAD_FLUXLIMIT_ADV_Y( |
192 |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
193 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
194 |
jmc |
1.2 |
CALL GAD_U3_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
195 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
196 |
adcroft |
1.1 |
CALL GAD_C4_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
197 |
adcroft |
1.4 |
ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
198 |
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CALL GAD_DST3_ADV_Y( |
199 |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
200 |
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ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
201 |
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CALL GAD_DST3FL_ADV_Y( |
202 |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
203 |
adcroft |
1.1 |
ELSE |
204 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (Y)' |
205 |
adcroft |
1.1 |
ENDIF |
206 |
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DO j=1-Oly,sNy+Oly |
207 |
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DO i=1-Olx,sNx+Olx |
208 |
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fMer(i,j) = fMer(i,j) + af(i,j) |
209 |
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ENDDO |
210 |
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ENDDO |
211 |
adcroft |
1.8 |
ENDIF |
212 |
adcroft |
1.1 |
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213 |
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C- Diffusive flux in Y |
214 |
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IF (diffKh.NE.0.) THEN |
215 |
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CALL GAD_DIFF_Y(bi,bj,k,yA,diffKh,localT,df,myThid) |
216 |
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ELSE |
217 |
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DO j=1-Oly,sNy+Oly |
218 |
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DO i=1-Olx,sNx+Olx |
219 |
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df(i,j) = 0. |
220 |
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ENDDO |
221 |
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ENDDO |
222 |
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ENDIF |
223 |
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224 |
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#ifdef ALLOW_GMREDI |
225 |
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C- GM/Redi flux in Y |
226 |
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IF (useGMRedi) THEN |
227 |
heimbach |
1.7 |
C *note* should update GMREDI_YTRANSPORT to use localT and set df *aja* |
228 |
adcroft |
1.1 |
CALL GMREDI_YTRANSPORT( |
229 |
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I iMin,iMax,jMin,jMax,bi,bj,K, |
230 |
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I yA,Tracer, |
231 |
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U df, |
232 |
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I myThid) |
233 |
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ENDIF |
234 |
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#endif |
235 |
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DO j=1-Oly,sNy+Oly |
236 |
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DO i=1-Olx,sNx+Olx |
237 |
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fMer(i,j) = fMer(i,j) + df(i,j) |
238 |
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ENDDO |
239 |
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ENDDO |
240 |
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241 |
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C- Bi-harmonic flux in Y |
242 |
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IF (diffK4 .NE. 0.) THEN |
243 |
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CALL GAD_BIHARM_Y(bi,bj,k,yA,df4,diffK4,df,myThid) |
244 |
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DO j=1-Oly,sNy+Oly |
245 |
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DO i=1-Olx,sNx+Olx |
246 |
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fMer(i,j) = fMer(i,j) + df(i,j) |
247 |
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ENDDO |
248 |
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ENDDO |
249 |
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ENDIF |
250 |
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251 |
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C-- Initialize net flux in R |
252 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
253 |
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DO i=1-Olx,sNx+Olx |
254 |
adcroft |
1.1 |
fVerT(i,j,kUp) = 0. |
255 |
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ENDDO |
256 |
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ENDDO |
257 |
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258 |
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C- Advective flux in R |
259 |
adcroft |
1.8 |
IF (.NOT. multiDimAdvection .OR. |
260 |
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& advectionScheme.EQ.ENUM_CENTERED_2ND .OR. |
261 |
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& advectionScheme.EQ.ENUM_UPWIND_3RD .OR. |
262 |
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& advectionScheme.EQ.ENUM_CENTERED_4TH ) THEN |
263 |
jmc |
1.2 |
C Note: wVel needs to be masked |
264 |
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IF (K.GE.2) THEN |
265 |
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C- Compute vertical advective flux in the interior: |
266 |
adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
267 |
jmc |
1.2 |
CALL GAD_C2_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
268 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
269 |
jmc |
1.2 |
CALL GAD_FLUXLIMIT_ADV_R( |
270 |
adcroft |
1.1 |
& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
271 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
272 |
jmc |
1.2 |
CALL GAD_U3_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
273 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
274 |
jmc |
1.2 |
CALL GAD_C4_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
275 |
adcroft |
1.4 |
ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
276 |
adcroft |
1.9 |
CALL GAD_DST3_ADV_R( |
277 |
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& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
278 |
adcroft |
1.4 |
ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
279 |
adcroft |
1.9 |
CALL GAD_DST3FL_ADV_R( |
280 |
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& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
281 |
jmc |
1.2 |
ELSE |
282 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (R)' |
283 |
jmc |
1.2 |
ENDIF |
284 |
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C- Surface "correction" term at k>1 : |
285 |
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DO j=1-Oly,sNy+Oly |
286 |
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DO i=1-Olx,sNx+Olx |
287 |
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af(i,j) = af(i,j) |
288 |
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& + (maskC(i,j,k,bi,bj)-maskC(i,j,k-1,bi,bj))* |
289 |
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& rTrans(i,j)*Tracer(i,j,k,bi,bj) |
290 |
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ENDDO |
291 |
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ENDDO |
292 |
adcroft |
1.1 |
ELSE |
293 |
jmc |
1.2 |
C- Surface "correction" term at k=1 : |
294 |
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DO j=1-Oly,sNy+Oly |
295 |
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DO i=1-Olx,sNx+Olx |
296 |
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af(i,j) = rTrans(i,j)*Tracer(i,j,k,bi,bj) |
297 |
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ENDDO |
298 |
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ENDDO |
299 |
adcroft |
1.1 |
ENDIF |
300 |
jmc |
1.2 |
C- add the advective flux to fVerT |
301 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
302 |
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DO i=1-Olx,sNx+Olx |
303 |
adcroft |
1.1 |
fVerT(i,j,kUp) = fVerT(i,j,kUp) + afFacT*af(i,j) |
304 |
|
|
ENDDO |
305 |
|
|
ENDDO |
306 |
adcroft |
1.8 |
ENDIF |
307 |
adcroft |
1.1 |
|
308 |
|
|
C- Diffusive flux in R |
309 |
|
|
C Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper |
310 |
|
|
C boundary condition. |
311 |
|
|
IF (implicitDiffusion) THEN |
312 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
313 |
|
|
DO i=1-Olx,sNx+Olx |
314 |
adcroft |
1.1 |
df(i,j) = 0. |
315 |
|
|
ENDDO |
316 |
|
|
ENDDO |
317 |
|
|
ELSE |
318 |
|
|
CALL GAD_DIFF_R(bi,bj,k,KappaRT,tracer,df,myThid) |
319 |
|
|
ENDIF |
320 |
adcroft |
1.5 |
c DO j=1-Oly,sNy+Oly |
321 |
|
|
c DO i=1-Olx,sNx+Olx |
322 |
adcroft |
1.1 |
c fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
323 |
|
|
c ENDDO |
324 |
|
|
c ENDDO |
325 |
|
|
|
326 |
|
|
#ifdef ALLOW_GMREDI |
327 |
|
|
C- GM/Redi flux in R |
328 |
|
|
IF (useGMRedi) THEN |
329 |
|
|
C *note* should update GMREDI_RTRANSPORT to set df *aja* |
330 |
|
|
CALL GMREDI_RTRANSPORT( |
331 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,K, |
332 |
adcroft |
1.6 |
I Tracer, |
333 |
adcroft |
1.1 |
U df, |
334 |
|
|
I myThid) |
335 |
adcroft |
1.5 |
c DO j=1-Oly,sNy+Oly |
336 |
|
|
c DO i=1-Olx,sNx+Olx |
337 |
adcroft |
1.1 |
c fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
338 |
|
|
c ENDDO |
339 |
|
|
c ENDDO |
340 |
|
|
ENDIF |
341 |
|
|
#endif |
342 |
|
|
|
343 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
344 |
|
|
DO i=1-Olx,sNx+Olx |
345 |
adcroft |
1.1 |
fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
346 |
|
|
ENDDO |
347 |
|
|
ENDDO |
348 |
|
|
|
349 |
|
|
#ifdef ALLOW_KPP |
350 |
|
|
C- Add non local KPP transport term (ghat) to diffusive T flux. |
351 |
|
|
IF (useKPP) THEN |
352 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
353 |
|
|
DO i=1-Olx,sNx+Olx |
354 |
adcroft |
1.1 |
df(i,j) = 0. |
355 |
|
|
ENDDO |
356 |
|
|
ENDDO |
357 |
|
|
IF (tracerIdentity.EQ.GAD_TEMPERATURE) THEN |
358 |
|
|
C *note* should update KPP_TRANSPORT_T to set df *aja* |
359 |
|
|
CALL KPP_TRANSPORT_T( |
360 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
361 |
|
|
I KappaRT, |
362 |
|
|
U df ) |
363 |
|
|
ELSEIF (tracerIdentity.EQ.GAD_SALINITY) THEN |
364 |
|
|
CALL KPP_TRANSPORT_S( |
365 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
366 |
|
|
I KappaRT, |
367 |
|
|
U df ) |
368 |
|
|
ELSE |
369 |
|
|
STOP 'GAD_CALC_RHS: Ooops' |
370 |
|
|
ENDIF |
371 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
372 |
|
|
DO i=1-Olx,sNx+Olx |
373 |
adcroft |
1.1 |
fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
374 |
|
|
ENDDO |
375 |
|
|
ENDDO |
376 |
|
|
ENDIF |
377 |
|
|
#endif |
378 |
|
|
|
379 |
|
|
C-- Divergence of fluxes |
380 |
adcroft |
1.5 |
DO j=1-Oly,sNy+Oly |
381 |
|
|
DO i=1-Olx,sNx+Olx |
382 |
adcroft |
1.8 |
gTracer(i,j,k,bi,bj)=gTracer(i,j,k,bi,bj) |
383 |
adcroft |
1.1 |
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
384 |
|
|
& *recip_rA(i,j,bi,bj) |
385 |
|
|
& *( |
386 |
|
|
& +( fZon(i+1,j)-fZon(i,j) ) |
387 |
|
|
& +( fMer(i,j+1)-fMer(i,j) ) |
388 |
|
|
& +( fVerT(i,j,kUp)-fVerT(i,j,kDown) )*rkFac |
389 |
|
|
& ) |
390 |
|
|
ENDDO |
391 |
|
|
ENDDO |
392 |
|
|
|
393 |
|
|
RETURN |
394 |
|
|
END |