1 |
adcroft |
1.31 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/calc_gt.F,v 1.30 2001/02/06 03:08:59 cnh Exp $ |
2 |
cnh |
1.30 |
C $Name: $ |
3 |
cnh |
1.1 |
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4 |
cnh |
1.19 |
#include "CPP_OPTIONS.h" |
5 |
cnh |
1.1 |
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6 |
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CStartOfInterFace |
7 |
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SUBROUTINE CALC_GT( |
8 |
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I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
9 |
cnh |
1.14 |
I xA,yA,uTrans,vTrans,rTrans,maskup,maskC, |
10 |
adcroft |
1.25 |
I KappaRT, |
11 |
adcroft |
1.28 |
U fVerT, |
12 |
cnh |
1.18 |
I myCurrentTime, myThid ) |
13 |
cnh |
1.1 |
C /==========================================================\ |
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C | SUBROUTINE CALC_GT | |
15 |
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C | o Calculate the temperature tendency terms. | |
16 |
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C |==========================================================| |
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C | A procedure called EXTERNAL_FORCING_T is called from | |
18 |
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C | here. These procedures can be used to add per problem | |
19 |
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C | heat flux source terms. | |
20 |
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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 | |
22 |
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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 | |
25 |
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C | logisitics of multi-processing simpler and also | |
26 |
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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 | |
28 |
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C | is supported by hardware. | |
29 |
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C | Aside from the problem specific term the code here | |
30 |
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C | forms the tendency terms due to advection and mixing | |
31 |
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C | The baseline implementation here uses a centered | |
32 |
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C | difference form for the advection term and a tensorial | |
33 |
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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| |
36 |
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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" |
46 |
cnh |
1.11 |
#include "FFIELDS.h" |
47 |
adcroft |
1.25 |
c #include "GM_ARRAYS.h" |
48 |
adcroft |
1.20 |
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49 |
cnh |
1.1 |
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50 |
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C == Routine arguments == |
51 |
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C fVerT - Flux of temperature (T) in the vertical |
52 |
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C direction at the upper(U) and lower(D) faces of a cell. |
53 |
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C maskUp - Land mask used to denote base of the domain. |
54 |
adcroft |
1.13 |
C maskC - Land mask for theta cells (used in TOP_LAYER only) |
55 |
cnh |
1.1 |
C xA - Tracer cell face area normal to X |
56 |
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C yA - Tracer cell face area normal to X |
57 |
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C uTrans - Zonal volume transport through cell face |
58 |
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C vTrans - Meridional volume transport through cell face |
59 |
cnh |
1.14 |
C rTrans - Vertical volume transport through cell face |
60 |
cnh |
1.1 |
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 fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
65 |
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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) |
67 |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
68 |
cnh |
1.14 |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
69 |
cnh |
1.1 |
_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
70 |
adcroft |
1.13 |
_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
71 |
cnh |
1.16 |
_RL KappaRT(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
72 |
adcroft |
1.3 |
INTEGER k,kUp,kDown,kM1 |
73 |
cnh |
1.1 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
74 |
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INTEGER myThid |
75 |
cnh |
1.18 |
_RL myCurrentTime |
76 |
cnh |
1.1 |
CEndOfInterface |
77 |
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C == Local variables == |
79 |
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C I, J, K - Loop counters |
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adcroft |
1.3 |
INTEGER i,j |
81 |
cnh |
1.10 |
LOGICAL TOP_LAYER |
82 |
adcroft |
1.3 |
_RL afFacT, dfFacT |
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_RL dTdx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
84 |
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_RL dTdy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
85 |
adcroft |
1.22 |
_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
86 |
adcroft |
1.28 |
_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
87 |
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_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
88 |
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_RL af (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
89 |
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_RL df (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
90 |
heimbach |
1.24 |
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91 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- only the kUp part of fverT is set in this subroutine |
93 |
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C-- the kDown is still required |
94 |
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fVerT(1,1,kDown) = fVerT(1,1,kDown) |
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adcroft |
1.20 |
#endif |
96 |
cnh |
1.30 |
DO j=1-OLy,sNy+OLy |
97 |
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DO i=1-OLx,sNx+OLx |
98 |
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fZon(i,j) = 0.0 |
99 |
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fMer(i,j) = 0.0 |
100 |
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fVerT(i,j,kUp) = 0.0 |
101 |
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ENDDO |
102 |
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ENDDO |
103 |
cnh |
1.1 |
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104 |
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afFacT = 1. _d 0 |
105 |
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dfFacT = 1. _d 0 |
106 |
cnh |
1.10 |
TOP_LAYER = K .EQ. 1 |
107 |
cnh |
1.1 |
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108 |
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C--- Calculate advective and diffusive fluxes between cells. |
109 |
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110 |
adcroft |
1.22 |
#ifdef INCLUDE_T_DIFFUSION_CODE |
111 |
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C o Zonal tracer gradient |
112 |
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DO j=1-Oly,sNy+Oly |
113 |
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DO i=1-Olx+1,sNx+Olx |
114 |
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dTdx(i,j) = _recip_dxC(i,j,bi,bj)* |
115 |
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& (theta(i,j,k,bi,bj)-theta(i-1,j,k,bi,bj)) |
116 |
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ENDDO |
117 |
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ENDDO |
118 |
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C o Meridional tracer gradient |
119 |
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DO j=1-Oly+1,sNy+Oly |
120 |
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DO i=1-Olx,sNx+Olx |
121 |
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dTdy(i,j) = _recip_dyC(i,j,bi,bj)* |
122 |
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& (theta(i,j,k,bi,bj)-theta(i,j-1,k,bi,bj)) |
123 |
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ENDDO |
124 |
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ENDDO |
125 |
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126 |
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C-- del^2 of T, needed for bi-harmonic (del^4) term |
127 |
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IF (diffK4T .NE. 0.) THEN |
128 |
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DO j=1-Oly+1,sNy+Oly-1 |
129 |
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DO i=1-Olx+1,sNx+Olx-1 |
130 |
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df4(i,j)= _recip_hFacC(i,j,k,bi,bj) |
131 |
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& *recip_drF(k)/_rA(i,j,bi,bj) |
132 |
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& *( |
133 |
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& +( xA(i+1,j)*dTdx(i+1,j)-xA(i,j)*dTdx(i,j) ) |
134 |
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& +( yA(i,j+1)*dTdy(i,j+1)-yA(i,j)*dTdy(i,j) ) |
135 |
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& ) |
136 |
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ENDDO |
137 |
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ENDDO |
138 |
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ENDIF |
139 |
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#endif |
140 |
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141 |
cnh |
1.1 |
C-- Zonal flux (fZon is at west face of "theta" cell) |
142 |
cnh |
1.19 |
#ifdef INCLUDE_T_ADVECTION_CODE |
143 |
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C o Advective component of zonal flux |
144 |
cnh |
1.1 |
DO j=jMin,jMax |
145 |
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DO i=iMin,iMax |
146 |
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af(i,j) = |
147 |
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& uTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i-1,j,k,bi,bj))*0.5 _d 0 |
148 |
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ENDDO |
149 |
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ENDDO |
150 |
cnh |
1.19 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
151 |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
152 |
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C o Diffusive component of zonal flux |
153 |
cnh |
1.1 |
DO j=jMin,jMax |
154 |
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DO i=iMin,iMax |
155 |
adcroft |
1.25 |
df(i,j) = -diffKhT*xA(i,j)*dTdx(i,j) |
156 |
cnh |
1.1 |
ENDDO |
157 |
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ENDDO |
158 |
adcroft |
1.25 |
#ifdef ALLOW_GMREDI |
159 |
heimbach |
1.26 |
IF (useGMRedi) CALL GMREDI_XTRANSPORT( |
160 |
adcroft |
1.25 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
161 |
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I xA,theta, |
162 |
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U df, |
163 |
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I myThid) |
164 |
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#endif |
165 |
adcroft |
1.22 |
C o Add the bi-harmonic contribution |
166 |
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IF (diffK4T .NE. 0.) THEN |
167 |
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DO j=jMin,jMax |
168 |
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DO i=iMin,iMax |
169 |
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df(i,j) = df(i,j) + xA(i,j)* |
170 |
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& diffK4T*(df4(i,j)-df4(i-1,j))*_recip_dxC(i,j,bi,bj) |
171 |
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ENDDO |
172 |
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ENDDO |
173 |
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ENDIF |
174 |
cnh |
1.19 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
175 |
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C o Net zonal flux |
176 |
cnh |
1.1 |
DO j=jMin,jMax |
177 |
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DO i=iMin,iMax |
178 |
cnh |
1.19 |
fZon(i,j) = 0. |
179 |
adcroft |
1.23 |
& _ADT( + afFacT*af(i,j) ) |
180 |
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& _LPT( + dfFacT*df(i,j) ) |
181 |
cnh |
1.1 |
ENDDO |
182 |
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ENDDO |
183 |
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184 |
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C-- Meridional flux (fMer is at south face of "theta" cell) |
185 |
cnh |
1.19 |
#ifdef INCLUDE_T_ADVECTION_CODE |
186 |
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C o Advective component of meridional flux |
187 |
cnh |
1.1 |
DO j=jMin,jMax |
188 |
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DO i=iMin,iMax |
189 |
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af(i,j) = |
190 |
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& vTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i,j-1,k,bi,bj))*0.5 _d 0 |
191 |
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ENDDO |
192 |
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ENDDO |
193 |
cnh |
1.19 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
194 |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
195 |
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C o Diffusive component of meridional flux |
196 |
cnh |
1.1 |
DO j=jMin,jMax |
197 |
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DO i=iMin,iMax |
198 |
adcroft |
1.25 |
df(i,j) = -diffKhT*yA(i,j)*dTdy(i,j) |
199 |
cnh |
1.1 |
ENDDO |
200 |
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ENDDO |
201 |
adcroft |
1.25 |
#ifdef ALLOW_GMREDI |
202 |
heimbach |
1.26 |
IF (useGMRedi) CALL GMREDI_YTRANSPORT( |
203 |
adcroft |
1.25 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
204 |
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I yA,theta, |
205 |
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U df, |
206 |
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I myThid) |
207 |
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#endif |
208 |
adcroft |
1.22 |
C o Add the bi-harmonic contribution |
209 |
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IF (diffK4T .NE. 0.) THEN |
210 |
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DO j=jMin,jMax |
211 |
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DO i=iMin,iMax |
212 |
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df(i,j) = df(i,j) + yA(i,j)* |
213 |
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& diffK4T*(df4(i,j)-df4(i,j-1))*_recip_dyC(i,j,bi,bj) |
214 |
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ENDDO |
215 |
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ENDDO |
216 |
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ENDIF |
217 |
cnh |
1.19 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
218 |
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C o Net meridional flux |
219 |
cnh |
1.1 |
DO j=jMin,jMax |
220 |
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DO i=iMin,iMax |
221 |
cnh |
1.19 |
fMer(i,j) = 0. |
222 |
adcroft |
1.23 |
& _ADT( + afFacT*af(i,j) ) |
223 |
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& _LPT( + dfFacT*df(i,j) ) |
224 |
cnh |
1.1 |
ENDDO |
225 |
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ENDDO |
226 |
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227 |
cnh |
1.19 |
#ifdef INCLUDE_T_DIFFUSION_CODE |
228 |
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C-- Terms that diffusion tensor projects onto z |
229 |
adcroft |
1.3 |
DO j=jMin,jMax |
230 |
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DO i=iMin,iMax |
231 |
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dTdx(i,j) = 0.5*( |
232 |
cnh |
1.17 |
& +0.5*(_maskW(i+1,j,k,bi,bj) |
233 |
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& *_recip_dxC(i+1,j,bi,bj)* |
234 |
adcroft |
1.3 |
& (theta(i+1,j,k,bi,bj)-theta(i,j,k,bi,bj)) |
235 |
cnh |
1.17 |
& +_maskW(i,j,k,bi,bj) |
236 |
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& *_recip_dxC(i,j,bi,bj)* |
237 |
adcroft |
1.3 |
& (theta(i,j,k,bi,bj)-theta(i-1,j,k,bi,bj))) |
238 |
cnh |
1.17 |
& +0.5*(_maskW(i+1,j,km1,bi,bj) |
239 |
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& *_recip_dxC(i+1,j,bi,bj)* |
240 |
adcroft |
1.3 |
& (theta(i+1,j,km1,bi,bj)-theta(i,j,km1,bi,bj)) |
241 |
cnh |
1.17 |
& +_maskW(i,j,km1,bi,bj) |
242 |
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& *_recip_dxC(i,j,bi,bj)* |
243 |
adcroft |
1.3 |
& (theta(i,j,km1,bi,bj)-theta(i-1,j,km1,bi,bj))) |
244 |
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& ) |
245 |
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ENDDO |
246 |
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ENDDO |
247 |
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DO j=jMin,jMax |
248 |
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DO i=iMin,iMax |
249 |
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dTdy(i,j) = 0.5*( |
250 |
cnh |
1.17 |
& +0.5*(_maskS(i,j,k,bi,bj) |
251 |
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& *_recip_dyC(i,j,bi,bj)* |
252 |
adcroft |
1.3 |
& (theta(i,j,k,bi,bj)-theta(i,j-1,k,bi,bj)) |
253 |
cnh |
1.17 |
& +_maskS(i,j+1,k,bi,bj) |
254 |
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& *_recip_dyC(i,j+1,bi,bj)* |
255 |
adcroft |
1.3 |
& (theta(i,j+1,k,bi,bj)-theta(i,j,k,bi,bj))) |
256 |
cnh |
1.17 |
& +0.5*(_maskS(i,j,km1,bi,bj) |
257 |
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& *_recip_dyC(i,j,bi,bj)* |
258 |
adcroft |
1.3 |
& (theta(i,j,km1,bi,bj)-theta(i,j-1,km1,bi,bj)) |
259 |
cnh |
1.17 |
& +_maskS(i,j+1,km1,bi,bj) |
260 |
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& *_recip_dyC(i,j+1,bi,bj)* |
261 |
adcroft |
1.3 |
& (theta(i,j+1,km1,bi,bj)-theta(i,j,km1,bi,bj))) |
262 |
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& ) |
263 |
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ENDDO |
264 |
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ENDDO |
265 |
cnh |
1.19 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
266 |
adcroft |
1.3 |
|
267 |
cnh |
1.19 |
C-- Vertical flux ( fVerT(,,kUp) is at upper face of "theta" cell ) |
268 |
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#ifdef INCLUDE_T_ADVECTION_CODE |
269 |
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C o Advective component of vertical flux |
270 |
adcroft |
1.3 |
C Note: For K=1 then KM1=1 this gives a barZ(T) = T |
271 |
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C (this plays the role of the free-surface correction) |
272 |
cnh |
1.1 |
DO j=jMin,jMax |
273 |
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DO i=iMin,iMax |
274 |
|
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af(i,j) = |
275 |
cnh |
1.14 |
& rTrans(i,j)*(theta(i,j,k,bi,bj)+theta(i,j,kM1,bi,bj))*0.5 _d 0 |
276 |
cnh |
1.1 |
ENDDO |
277 |
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ENDDO |
278 |
cnh |
1.19 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
279 |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
280 |
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C o Diffusive component of vertical flux |
281 |
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C Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper |
282 |
adcroft |
1.3 |
C boundary condition. |
283 |
adcroft |
1.25 |
IF (implicitDiffusion) THEN |
284 |
|
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DO j=jMin,jMax |
285 |
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DO i=iMin,iMax |
286 |
|
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df(i,j) = 0. |
287 |
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ENDDO |
288 |
cnh |
1.1 |
ENDDO |
289 |
adcroft |
1.25 |
ELSE |
290 |
adcroft |
1.9 |
DO j=jMin,jMax |
291 |
|
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DO i=iMin,iMax |
292 |
adcroft |
1.25 |
df(i,j) = - _rA(i,j,bi,bj)*( |
293 |
|
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& KappaRT(i,j,k)*recip_drC(k) |
294 |
cnh |
1.15 |
& *(theta(i,j,kM1,bi,bj)-theta(i,j,k,bi,bj))*rkFac |
295 |
adcroft |
1.9 |
& ) |
296 |
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ENDDO |
297 |
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ENDDO |
298 |
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ENDIF |
299 |
cnh |
1.19 |
#endif /* INCLUDE_T_DIFFUSION_CODE */ |
300 |
adcroft |
1.20 |
|
301 |
adcroft |
1.25 |
#ifdef ALLOW_GMREDI |
302 |
heimbach |
1.26 |
IF (useGMRedi) CALL GMREDI_RTRANSPORT( |
303 |
adcroft |
1.25 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
304 |
|
|
I maskUp,theta, |
305 |
|
|
U df, |
306 |
|
|
I myThid) |
307 |
|
|
#endif |
308 |
|
|
|
309 |
adcroft |
1.20 |
#ifdef ALLOW_KPP |
310 |
adcroft |
1.25 |
C-- Add non local KPP transport term (ghat) to diffusive T flux. |
311 |
heimbach |
1.26 |
IF (useKPP) CALL KPP_TRANSPORT_T( |
312 |
adcroft |
1.25 |
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
313 |
|
|
I maskC,KappaRT, |
314 |
|
|
U df ) |
315 |
|
|
#endif |
316 |
adcroft |
1.20 |
|
317 |
cnh |
1.19 |
C o Net vertical flux |
318 |
cnh |
1.1 |
DO j=jMin,jMax |
319 |
|
|
DO i=iMin,iMax |
320 |
cnh |
1.19 |
fVerT(i,j,kUp) = 0. |
321 |
adcroft |
1.23 |
& _ADT( +afFacT*af(i,j)*maskUp(i,j) ) |
322 |
|
|
& _LPT( +dfFacT*df(i,j)*maskUp(i,j) ) |
323 |
cnh |
1.1 |
ENDDO |
324 |
|
|
ENDDO |
325 |
cnh |
1.19 |
#ifdef INCLUDE_T_ADVECTION_CODE |
326 |
cnh |
1.10 |
IF ( TOP_LAYER ) THEN |
327 |
|
|
DO j=jMin,jMax |
328 |
|
|
DO i=iMin,iMax |
329 |
|
|
fVerT(i,j,kUp) = afFacT*af(i,j)*freeSurfFac |
330 |
|
|
ENDDO |
331 |
|
|
ENDDO |
332 |
|
|
ENDIF |
333 |
cnh |
1.19 |
#endif /* INCLUDE_T_ADVECTION_CODE */ |
334 |
cnh |
1.1 |
|
335 |
|
|
C-- Tendency is minus divergence of the fluxes. |
336 |
|
|
C Note. Tendency terms will only be correct for range |
337 |
|
|
C i=iMin+1:iMax-1, j=jMin+1:jMax-1. Edge points |
338 |
|
|
C will contain valid floating point numbers but |
339 |
|
|
C they are not algorithmically correct. These points |
340 |
|
|
C are not used. |
341 |
|
|
DO j=jMin,jMax |
342 |
|
|
DO i=iMin,iMax |
343 |
cnh |
1.17 |
#define _recip_VolT1(i,j,k,bi,bj) _recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
344 |
|
|
#define _recip_VolT2(i,j,k,bi,bj) /_rA(i,j,bi,bj) |
345 |
cnh |
1.1 |
gT(i,j,k,bi,bj)= |
346 |
cnh |
1.17 |
& -_recip_VolT1(i,j,k,bi,bj) |
347 |
|
|
& _recip_VolT2(i,j,k,bi,bj) |
348 |
cnh |
1.1 |
& *( |
349 |
|
|
& +( fZon(i+1,j)-fZon(i,j) ) |
350 |
|
|
& +( fMer(i,j+1)-fMer(i,j) ) |
351 |
cnh |
1.14 |
& +( fVerT(i,j,kUp)-fVerT(i,j,kDown) )*rkFac |
352 |
cnh |
1.1 |
& ) |
353 |
|
|
ENDDO |
354 |
|
|
ENDDO |
355 |
|
|
|
356 |
cnh |
1.19 |
#ifdef INCLUDE_T_FORCING_CODE |
357 |
cnh |
1.1 |
C-- External thermal forcing term(s) |
358 |
cnh |
1.19 |
CALL EXTERNAL_FORCING_T( |
359 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k, |
360 |
|
|
I maskC, |
361 |
|
|
I myCurrentTime,myThid) |
362 |
|
|
#endif /* INCLUDE_T_FORCING_CODE */ |
363 |
cnh |
1.1 |
|
364 |
|
|
RETURN |
365 |
|
|
END |