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heimbach |
1.26 |
C $Header: /u/gcmpack/development/heimbach/ecco_env/model/src/calc_gt.F,v 1.2 2000/08/31 20:47:05 heimbach Exp $ |
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cnh |
1.1 |
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cnh |
1.19 |
#include "CPP_OPTIONS.h" |
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cnh |
1.1 |
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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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cnh |
1.14 |
I xA,yA,uTrans,vTrans,rTrans,maskup,maskC, |
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adcroft |
1.25 |
I KappaRT, |
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cnh |
1.1 |
U af,df,fZon,fMer,fVerT, |
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cnh |
1.18 |
I myCurrentTime, myThid ) |
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cnh |
1.1 |
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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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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cnh |
1.11 |
#include "FFIELDS.h" |
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adcroft |
1.25 |
c #include "GM_ARRAYS.h" |
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adcroft |
1.20 |
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cnh |
1.1 |
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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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adcroft |
1.13 |
C maskC - Land mask for theta cells (used in TOP_LAYER only) |
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cnh |
1.1 |
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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cnh |
1.14 |
C rTrans - Vertical volume transport through cell face |
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cnh |
1.1 |
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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cnh |
1.14 |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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cnh |
1.1 |
_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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adcroft |
1.13 |
_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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cnh |
1.16 |
_RL KappaRT(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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cnh |
1.1 |
_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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adcroft |
1.3 |
INTEGER k,kUp,kDown,kM1 |
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cnh |
1.1 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
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INTEGER myThid |
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cnh |
1.18 |
_RL myCurrentTime |
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cnh |
1.1 |
CEndOfInterface |
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C == Local variables == |
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C I, J, K - Loop counters |
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adcroft |
1.3 |
INTEGER i,j |
90 |
cnh |
1.10 |
LOGICAL TOP_LAYER |
91 |
adcroft |
1.3 |
_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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adcroft |
1.22 |
_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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heimbach |
1.24 |
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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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DO j=1-OLy,sNy+OLy |
102 |
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DO i=1-OLx,sNx+OLx |
103 |
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fZon(i,j) = 0.0 |
104 |
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fMer(i,j) = 0.0 |
105 |
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fVerT(i,j,kUp) = 0.0 |
106 |
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ENDDO |
107 |
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ENDDO |
108 |
adcroft |
1.20 |
#endif |
109 |
cnh |
1.1 |
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110 |
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afFacT = 1. _d 0 |
111 |
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dfFacT = 1. _d 0 |
112 |
cnh |
1.10 |
TOP_LAYER = K .EQ. 1 |
113 |
cnh |
1.1 |
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114 |
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C--- Calculate advective and diffusive fluxes between cells. |
115 |
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116 |
adcroft |
1.22 |
#ifdef INCLUDE_T_DIFFUSION_CODE |
117 |
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C o Zonal tracer gradient |
118 |
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DO j=1-Oly,sNy+Oly |
119 |
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DO i=1-Olx+1,sNx+Olx |
120 |
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dTdx(i,j) = _recip_dxC(i,j,bi,bj)* |
121 |
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& (theta(i,j,k,bi,bj)-theta(i-1,j,k,bi,bj)) |
122 |
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ENDDO |
123 |
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ENDDO |
124 |
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C o Meridional tracer gradient |
125 |
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DO j=1-Oly+1,sNy+Oly |
126 |
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DO i=1-Olx,sNx+Olx |
127 |
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dTdy(i,j) = _recip_dyC(i,j,bi,bj)* |
128 |
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& (theta(i,j,k,bi,bj)-theta(i,j-1,k,bi,bj)) |
129 |
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ENDDO |
130 |
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ENDDO |
131 |
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132 |
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C-- del^2 of T, needed for bi-harmonic (del^4) term |
133 |
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IF (diffK4T .NE. 0.) THEN |
134 |
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DO j=1-Oly+1,sNy+Oly-1 |
135 |
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DO i=1-Olx+1,sNx+Olx-1 |
136 |
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df4(i,j)= _recip_hFacC(i,j,k,bi,bj) |
137 |
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& *recip_drF(k)/_rA(i,j,bi,bj) |
138 |
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& *( |
139 |
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& +( xA(i+1,j)*dTdx(i+1,j)-xA(i,j)*dTdx(i,j) ) |
140 |
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& +( yA(i,j+1)*dTdy(i,j+1)-yA(i,j)*dTdy(i,j) ) |
141 |
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& ) |
142 |
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ENDDO |
143 |
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ENDDO |
144 |
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ENDIF |
145 |
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#endif |
146 |
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147 |
cnh |
1.1 |
C-- Zonal flux (fZon is at west face of "theta" cell) |
148 |
cnh |
1.19 |
#ifdef INCLUDE_T_ADVECTION_CODE |
149 |
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C o Advective component of zonal flux |
150 |
cnh |
1.1 |
DO j=jMin,jMax |
151 |
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DO i=iMin,iMax |
152 |
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af(i,j) = |
153 |
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& uTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i-1,j,k,bi,bj))*0.5 _d 0 |
154 |
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ENDDO |
155 |
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ENDDO |
156 |
cnh |
1.19 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
157 |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
158 |
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C o Diffusive component of zonal flux |
159 |
cnh |
1.1 |
DO j=jMin,jMax |
160 |
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DO i=iMin,iMax |
161 |
adcroft |
1.25 |
df(i,j) = -diffKhT*xA(i,j)*dTdx(i,j) |
162 |
cnh |
1.1 |
ENDDO |
163 |
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ENDDO |
164 |
adcroft |
1.25 |
#ifdef ALLOW_GMREDI |
165 |
heimbach |
1.26 |
IF (useGMRedi) CALL GMREDI_XTRANSPORT( |
166 |
adcroft |
1.25 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
167 |
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I xA,theta, |
168 |
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U df, |
169 |
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I myThid) |
170 |
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#endif |
171 |
adcroft |
1.22 |
C o Add the bi-harmonic contribution |
172 |
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IF (diffK4T .NE. 0.) THEN |
173 |
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DO j=jMin,jMax |
174 |
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DO i=iMin,iMax |
175 |
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df(i,j) = df(i,j) + xA(i,j)* |
176 |
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& diffK4T*(df4(i,j)-df4(i-1,j))*_recip_dxC(i,j,bi,bj) |
177 |
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ENDDO |
178 |
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ENDDO |
179 |
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ENDIF |
180 |
cnh |
1.19 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
181 |
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C o Net zonal flux |
182 |
cnh |
1.1 |
DO j=jMin,jMax |
183 |
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DO i=iMin,iMax |
184 |
cnh |
1.19 |
fZon(i,j) = 0. |
185 |
adcroft |
1.23 |
& _ADT( + afFacT*af(i,j) ) |
186 |
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& _LPT( + dfFacT*df(i,j) ) |
187 |
cnh |
1.1 |
ENDDO |
188 |
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ENDDO |
189 |
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190 |
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C-- Meridional flux (fMer is at south face of "theta" cell) |
191 |
cnh |
1.19 |
#ifdef INCLUDE_T_ADVECTION_CODE |
192 |
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C o Advective component of meridional flux |
193 |
cnh |
1.1 |
DO j=jMin,jMax |
194 |
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DO i=iMin,iMax |
195 |
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af(i,j) = |
196 |
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& vTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i,j-1,k,bi,bj))*0.5 _d 0 |
197 |
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ENDDO |
198 |
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ENDDO |
199 |
cnh |
1.19 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
200 |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
201 |
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C o Diffusive component of meridional flux |
202 |
cnh |
1.1 |
DO j=jMin,jMax |
203 |
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DO i=iMin,iMax |
204 |
adcroft |
1.25 |
df(i,j) = -diffKhT*yA(i,j)*dTdy(i,j) |
205 |
cnh |
1.1 |
ENDDO |
206 |
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ENDDO |
207 |
adcroft |
1.25 |
#ifdef ALLOW_GMREDI |
208 |
heimbach |
1.26 |
IF (useGMRedi) CALL GMREDI_YTRANSPORT( |
209 |
adcroft |
1.25 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
210 |
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I yA,theta, |
211 |
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U df, |
212 |
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I myThid) |
213 |
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#endif |
214 |
adcroft |
1.22 |
C o Add the bi-harmonic contribution |
215 |
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IF (diffK4T .NE. 0.) THEN |
216 |
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DO j=jMin,jMax |
217 |
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DO i=iMin,iMax |
218 |
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df(i,j) = df(i,j) + yA(i,j)* |
219 |
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& diffK4T*(df4(i,j)-df4(i,j-1))*_recip_dyC(i,j,bi,bj) |
220 |
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ENDDO |
221 |
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ENDDO |
222 |
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ENDIF |
223 |
cnh |
1.19 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
224 |
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C o Net meridional flux |
225 |
cnh |
1.1 |
DO j=jMin,jMax |
226 |
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DO i=iMin,iMax |
227 |
cnh |
1.19 |
fMer(i,j) = 0. |
228 |
adcroft |
1.23 |
& _ADT( + afFacT*af(i,j) ) |
229 |
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& _LPT( + dfFacT*df(i,j) ) |
230 |
cnh |
1.1 |
ENDDO |
231 |
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ENDDO |
232 |
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233 |
cnh |
1.19 |
#ifdef INCLUDE_T_DIFFUSION_CODE |
234 |
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C-- Terms that diffusion tensor projects onto z |
235 |
adcroft |
1.3 |
DO j=jMin,jMax |
236 |
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DO i=iMin,iMax |
237 |
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dTdx(i,j) = 0.5*( |
238 |
cnh |
1.17 |
& +0.5*(_maskW(i+1,j,k,bi,bj) |
239 |
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& *_recip_dxC(i+1,j,bi,bj)* |
240 |
adcroft |
1.3 |
& (theta(i+1,j,k,bi,bj)-theta(i,j,k,bi,bj)) |
241 |
cnh |
1.17 |
& +_maskW(i,j,k,bi,bj) |
242 |
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& *_recip_dxC(i,j,bi,bj)* |
243 |
adcroft |
1.3 |
& (theta(i,j,k,bi,bj)-theta(i-1,j,k,bi,bj))) |
244 |
cnh |
1.17 |
& +0.5*(_maskW(i+1,j,km1,bi,bj) |
245 |
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& *_recip_dxC(i+1,j,bi,bj)* |
246 |
adcroft |
1.3 |
& (theta(i+1,j,km1,bi,bj)-theta(i,j,km1,bi,bj)) |
247 |
cnh |
1.17 |
& +_maskW(i,j,km1,bi,bj) |
248 |
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& *_recip_dxC(i,j,bi,bj)* |
249 |
adcroft |
1.3 |
& (theta(i,j,km1,bi,bj)-theta(i-1,j,km1,bi,bj))) |
250 |
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& ) |
251 |
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ENDDO |
252 |
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ENDDO |
253 |
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DO j=jMin,jMax |
254 |
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DO i=iMin,iMax |
255 |
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dTdy(i,j) = 0.5*( |
256 |
cnh |
1.17 |
& +0.5*(_maskS(i,j,k,bi,bj) |
257 |
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& *_recip_dyC(i,j,bi,bj)* |
258 |
adcroft |
1.3 |
& (theta(i,j,k,bi,bj)-theta(i,j-1,k,bi,bj)) |
259 |
cnh |
1.17 |
& +_maskS(i,j+1,k,bi,bj) |
260 |
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& *_recip_dyC(i,j+1,bi,bj)* |
261 |
adcroft |
1.3 |
& (theta(i,j+1,k,bi,bj)-theta(i,j,k,bi,bj))) |
262 |
cnh |
1.17 |
& +0.5*(_maskS(i,j,km1,bi,bj) |
263 |
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& *_recip_dyC(i,j,bi,bj)* |
264 |
adcroft |
1.3 |
& (theta(i,j,km1,bi,bj)-theta(i,j-1,km1,bi,bj)) |
265 |
cnh |
1.17 |
& +_maskS(i,j+1,km1,bi,bj) |
266 |
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& *_recip_dyC(i,j+1,bi,bj)* |
267 |
adcroft |
1.3 |
& (theta(i,j+1,km1,bi,bj)-theta(i,j,km1,bi,bj))) |
268 |
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& ) |
269 |
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ENDDO |
270 |
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ENDDO |
271 |
cnh |
1.19 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
272 |
adcroft |
1.3 |
|
273 |
cnh |
1.19 |
C-- Vertical flux ( fVerT(,,kUp) is at upper face of "theta" cell ) |
274 |
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#ifdef INCLUDE_T_ADVECTION_CODE |
275 |
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C o Advective component of vertical flux |
276 |
adcroft |
1.3 |
C Note: For K=1 then KM1=1 this gives a barZ(T) = T |
277 |
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C (this plays the role of the free-surface correction) |
278 |
cnh |
1.1 |
DO j=jMin,jMax |
279 |
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DO i=iMin,iMax |
280 |
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af(i,j) = |
281 |
cnh |
1.14 |
& rTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i,j,kM1,bi,bj))*0.5 _d 0 |
282 |
cnh |
1.1 |
ENDDO |
283 |
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ENDDO |
284 |
cnh |
1.19 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
285 |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
286 |
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C o Diffusive component of vertical flux |
287 |
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C Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper |
288 |
adcroft |
1.3 |
C boundary condition. |
289 |
adcroft |
1.25 |
IF (implicitDiffusion) THEN |
290 |
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DO j=jMin,jMax |
291 |
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DO i=iMin,iMax |
292 |
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df(i,j) = 0. |
293 |
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ENDDO |
294 |
cnh |
1.1 |
ENDDO |
295 |
adcroft |
1.25 |
ELSE |
296 |
adcroft |
1.9 |
DO j=jMin,jMax |
297 |
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DO i=iMin,iMax |
298 |
adcroft |
1.25 |
df(i,j) = - _rA(i,j,bi,bj)*( |
299 |
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& KappaRT(i,j,k)*recip_drC(k) |
300 |
cnh |
1.15 |
& *(theta(i,j,kM1,bi,bj)-theta(i,j,k,bi,bj))*rkFac |
301 |
adcroft |
1.9 |
& ) |
302 |
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ENDDO |
303 |
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ENDDO |
304 |
|
|
ENDIF |
305 |
cnh |
1.19 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
306 |
adcroft |
1.20 |
|
307 |
adcroft |
1.25 |
#ifdef ALLOW_GMREDI |
308 |
heimbach |
1.26 |
IF (useGMRedi) CALL GMREDI_RTRANSPORT( |
309 |
adcroft |
1.25 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
310 |
|
|
I maskUp,theta, |
311 |
|
|
U df, |
312 |
|
|
I myThid) |
313 |
|
|
#endif |
314 |
|
|
|
315 |
adcroft |
1.20 |
#ifdef ALLOW_KPP |
316 |
adcroft |
1.25 |
C-- Add non local KPP transport term (ghat) to diffusive T flux. |
317 |
heimbach |
1.26 |
IF (useKPP) CALL KPP_TRANSPORT_T( |
318 |
adcroft |
1.25 |
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
319 |
|
|
I maskC,KappaRT, |
320 |
|
|
U df ) |
321 |
|
|
#endif |
322 |
adcroft |
1.20 |
|
323 |
cnh |
1.19 |
C o Net vertical flux |
324 |
cnh |
1.1 |
DO j=jMin,jMax |
325 |
|
|
DO i=iMin,iMax |
326 |
cnh |
1.19 |
fVerT(i,j,kUp) = 0. |
327 |
adcroft |
1.23 |
& _ADT( +afFacT*af(i,j)*maskUp(i,j) ) |
328 |
|
|
& _LPT( +dfFacT*df(i,j)*maskUp(i,j) ) |
329 |
cnh |
1.1 |
ENDDO |
330 |
|
|
ENDDO |
331 |
cnh |
1.19 |
#ifdef INCLUDE_T_ADVECTION_CODE |
332 |
cnh |
1.10 |
IF ( TOP_LAYER ) THEN |
333 |
|
|
DO j=jMin,jMax |
334 |
|
|
DO i=iMin,iMax |
335 |
|
|
fVerT(i,j,kUp) = afFacT*af(i,j)*freeSurfFac |
336 |
|
|
ENDDO |
337 |
|
|
ENDDO |
338 |
|
|
ENDIF |
339 |
cnh |
1.19 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
340 |
cnh |
1.1 |
|
341 |
|
|
C-- Tendency is minus divergence of the fluxes. |
342 |
|
|
C Note. Tendency terms will only be correct for range |
343 |
|
|
C i=iMin+1:iMax-1, j=jMin+1:jMax-1. Edge points |
344 |
|
|
C will contain valid floating point numbers but |
345 |
|
|
C they are not algorithmically correct. These points |
346 |
|
|
C are not used. |
347 |
|
|
DO j=jMin,jMax |
348 |
|
|
DO i=iMin,iMax |
349 |
cnh |
1.17 |
#define _recip_VolT1(i,j,k,bi,bj) _recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
350 |
|
|
#define _recip_VolT2(i,j,k,bi,bj) /_rA(i,j,bi,bj) |
351 |
cnh |
1.1 |
gT(i,j,k,bi,bj)= |
352 |
cnh |
1.17 |
& -_recip_VolT1(i,j,k,bi,bj) |
353 |
|
|
& _recip_VolT2(i,j,k,bi,bj) |
354 |
cnh |
1.1 |
& *( |
355 |
|
|
& +( fZon(i+1,j)-fZon(i,j) ) |
356 |
|
|
& +( fMer(i,j+1)-fMer(i,j) ) |
357 |
cnh |
1.14 |
& +( fVerT(i,j,kUp)-fVerT(i,j,kDown) )*rkFac |
358 |
cnh |
1.1 |
& ) |
359 |
|
|
ENDDO |
360 |
|
|
ENDDO |
361 |
|
|
|
362 |
cnh |
1.19 |
#ifdef INCLUDE_T_FORCING_CODE |
363 |
cnh |
1.1 |
C-- External thermal forcing term(s) |
364 |
cnh |
1.19 |
CALL EXTERNAL_FORCING_T( |
365 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k, |
366 |
|
|
I maskC, |
367 |
|
|
I myCurrentTime,myThid) |
368 |
|
|
#endif /* INCLUDE_T_FORCING_CODE */ |
369 |
|
|
|
370 |
|
|
#ifdef INCLUDE_LAT_CIRC_FFT_FILTER_CODE |
371 |
|
|
C-- Zonal FFT filter of tendency |
372 |
|
|
CALL FILTER_LATCIRCS_FFT_APPLY( |
373 |
|
|
U gT, |
374 |
|
|
I 1, sNy, k, k, bi, bj, 1, myThid) |
375 |
|
|
#endif /* INCLUDE_LAT_CIRC_FFT_FILTER_CODE */ |
376 |
|
|
|
377 |
cnh |
1.1 |
|
378 |
|
|
RETURN |
379 |
|
|
END |