1 |
adcroft |
1.3 |
C $Header: /u/gcmpack/models/MITgcmUV/pkg/generic_advdiff/gad_calc_rhs.F,v 1.2 2001/07/12 00:26:30 jmc Exp $ |
2 |
jmc |
1.2 |
C $Name: $ |
3 |
adcroft |
1.1 |
|
4 |
|
|
#include "GAD_OPTIONS.h" |
5 |
|
|
|
6 |
|
|
SUBROUTINE GAD_CALC_RHS( |
7 |
|
|
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
8 |
|
|
I xA,yA,uTrans,vTrans,rTrans,maskUp, |
9 |
|
|
I diffKh, diffK4, KappaRT, Tracer, |
10 |
adcroft |
1.3 |
I tracerIdentity, advectionScheme, |
11 |
adcroft |
1.1 |
U fVerT, gTracer, |
12 |
|
|
I myThid ) |
13 |
|
|
C /==========================================================\ |
14 |
|
|
C | SUBROUTINE GAD_CALC_RHS | |
15 |
|
|
C |==========================================================| |
16 |
|
|
C \==========================================================/ |
17 |
|
|
IMPLICIT NONE |
18 |
|
|
|
19 |
|
|
C == GLobal variables == |
20 |
|
|
#include "SIZE.h" |
21 |
|
|
#include "EEPARAMS.h" |
22 |
|
|
#include "PARAMS.h" |
23 |
|
|
#include "GRID.h" |
24 |
|
|
#include "DYNVARS.h" |
25 |
|
|
#include "GAD.h" |
26 |
|
|
|
27 |
|
|
C == Routine arguments == |
28 |
|
|
INTEGER k,kUp,kDown,kM1 |
29 |
|
|
INTEGER bi,bj,iMin,iMax,jMin,jMax |
30 |
|
|
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
31 |
|
|
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
32 |
|
|
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
33 |
|
|
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
34 |
|
|
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
35 |
|
|
_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
36 |
|
|
_RL diffKh, diffK4 |
37 |
|
|
_RL KappaRT(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
38 |
|
|
_RL Tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
39 |
|
|
INTEGER tracerIdentity |
40 |
adcroft |
1.3 |
INTEGER advectionScheme |
41 |
adcroft |
1.1 |
_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
42 |
|
|
_RL gTracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
43 |
|
|
INTEGER myThid |
44 |
|
|
|
45 |
|
|
C == Local variables == |
46 |
|
|
C I, J, K - Loop counters |
47 |
|
|
INTEGER i,j |
48 |
|
|
LOGICAL TOP_LAYER |
49 |
|
|
_RL afFacT, dfFacT |
50 |
|
|
_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
51 |
|
|
_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
52 |
|
|
_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
53 |
|
|
_RL af (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
54 |
|
|
_RL df (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
55 |
|
|
_RL localT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
56 |
|
|
|
57 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
58 |
|
|
C-- only the kUp part of fverT is set in this subroutine |
59 |
|
|
C-- the kDown is still required |
60 |
|
|
fVerT(1,1,kDown) = fVerT(1,1,kDown) |
61 |
|
|
#endif |
62 |
|
|
DO j=1-OLy,sNy+OLy |
63 |
|
|
DO i=1-OLx,sNx+OLx |
64 |
|
|
fZon(i,j) = 0.0 |
65 |
|
|
fMer(i,j) = 0.0 |
66 |
|
|
fVerT(i,j,kUp) = 0.0 |
67 |
|
|
ENDDO |
68 |
|
|
ENDDO |
69 |
|
|
|
70 |
|
|
afFacT = 1. _d 0 |
71 |
|
|
dfFacT = 1. _d 0 |
72 |
|
|
TOP_LAYER = K .EQ. 1 |
73 |
|
|
|
74 |
|
|
C-- Make local copy of tracer array |
75 |
|
|
DO j=1-OLy,sNy+OLy |
76 |
|
|
DO i=1-OLx,sNx+OLx |
77 |
|
|
localT(i,j)=tracer(i,j,k,bi,bj) |
78 |
|
|
ENDDO |
79 |
|
|
ENDDO |
80 |
|
|
|
81 |
|
|
|
82 |
|
|
C-- Pre-calculate del^2 T if bi-harmonic coefficient is non-zero |
83 |
|
|
IF (diffK4 .NE. 0.) THEN |
84 |
|
|
CALL GAD_GRAD_X(bi,bj,k,xA,localT,fZon,myThid) |
85 |
|
|
CALL GAD_GRAD_Y(bi,bj,k,yA,localT,fMer,myThid) |
86 |
|
|
CALL GAD_DEL2(bi,bj,k,fZon,fMer,df4,myThid) |
87 |
|
|
ENDIF |
88 |
|
|
|
89 |
|
|
C-- Initialize net flux in X direction |
90 |
|
|
DO j=1-Oly,sNy+Oly |
91 |
|
|
DO i=1-Olx,sNx+Olx |
92 |
|
|
fZon(i,j) = 0. |
93 |
|
|
ENDDO |
94 |
|
|
ENDDO |
95 |
|
|
|
96 |
|
|
C- Advective flux in X |
97 |
adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
98 |
adcroft |
1.1 |
CALL GAD_C2_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
99 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
100 |
adcroft |
1.1 |
CALL GAD_FLUXLIMIT_ADV_X( |
101 |
|
|
& 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 |
|
|
ELSE |
107 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (X)' |
108 |
adcroft |
1.1 |
ENDIF |
109 |
|
|
DO j=jMin,jMax |
110 |
|
|
DO i=iMin,iMax |
111 |
|
|
fZon(i,j) = fZon(i,j) + af(i,j) |
112 |
|
|
ENDDO |
113 |
|
|
ENDDO |
114 |
|
|
|
115 |
|
|
C- Diffusive flux in X |
116 |
|
|
IF (diffKh.NE.0.) THEN |
117 |
|
|
CALL GAD_DIFF_X(bi,bj,k,xA,diffKh,localT,df,myThid) |
118 |
|
|
ELSE |
119 |
|
|
DO j=jMin,jMax |
120 |
|
|
DO i=iMin,iMax |
121 |
|
|
df(i,j) = 0. |
122 |
|
|
ENDDO |
123 |
|
|
ENDDO |
124 |
|
|
ENDIF |
125 |
|
|
|
126 |
|
|
#ifdef ALLOW_GMREDI |
127 |
|
|
C- GM/Redi flux in X |
128 |
|
|
IF (useGMRedi) THEN |
129 |
|
|
C *note* should update GMREDI_XTRANSPORT to use localT and set df *aja* |
130 |
|
|
CALL GMREDI_XTRANSPORT( |
131 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,K, |
132 |
|
|
I xA,Tracer, |
133 |
|
|
U df, |
134 |
|
|
I myThid) |
135 |
|
|
ENDIF |
136 |
|
|
#endif |
137 |
|
|
DO j=jMin,jMax |
138 |
|
|
DO i=iMin,iMax |
139 |
|
|
fZon(i,j) = fZon(i,j) + df(i,j) |
140 |
|
|
ENDDO |
141 |
|
|
ENDDO |
142 |
|
|
|
143 |
|
|
C- Bi-harmonic duffusive flux in X |
144 |
|
|
IF (diffK4 .NE. 0.) THEN |
145 |
|
|
CALL GAD_BIHARM_X(bi,bj,k,xA,df4,diffK4,df,myThid) |
146 |
|
|
DO j=jMin,jMax |
147 |
|
|
DO i=iMin,iMax |
148 |
|
|
fZon(i,j) = fZon(i,j) + df(i,j) |
149 |
|
|
ENDDO |
150 |
|
|
ENDDO |
151 |
|
|
ENDIF |
152 |
|
|
|
153 |
|
|
C-- Initialize net flux in Y direction |
154 |
|
|
DO j=1-Oly,sNy+Oly |
155 |
|
|
DO i=1-Olx,sNx+Olx |
156 |
|
|
fMer(i,j) = 0. |
157 |
|
|
ENDDO |
158 |
|
|
ENDDO |
159 |
|
|
|
160 |
|
|
C- Advective flux in Y |
161 |
adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
162 |
adcroft |
1.1 |
CALL GAD_C2_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
163 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
164 |
adcroft |
1.1 |
CALL GAD_FLUXLIMIT_ADV_Y( |
165 |
|
|
& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
166 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
167 |
jmc |
1.2 |
CALL GAD_U3_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
168 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
169 |
adcroft |
1.1 |
CALL GAD_C4_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
170 |
|
|
ELSE |
171 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (Y)' |
172 |
adcroft |
1.1 |
ENDIF |
173 |
|
|
DO j=1-Oly,sNy+Oly |
174 |
|
|
DO i=1-Olx,sNx+Olx |
175 |
|
|
fMer(i,j) = fMer(i,j) + af(i,j) |
176 |
|
|
ENDDO |
177 |
|
|
ENDDO |
178 |
|
|
|
179 |
|
|
C- Diffusive flux in Y |
180 |
|
|
IF (diffKh.NE.0.) THEN |
181 |
|
|
CALL GAD_DIFF_Y(bi,bj,k,yA,diffKh,localT,df,myThid) |
182 |
|
|
ELSE |
183 |
|
|
DO j=1-Oly,sNy+Oly |
184 |
|
|
DO i=1-Olx,sNx+Olx |
185 |
|
|
df(i,j) = 0. |
186 |
|
|
ENDDO |
187 |
|
|
ENDDO |
188 |
|
|
ENDIF |
189 |
|
|
|
190 |
|
|
#ifdef ALLOW_GMREDI |
191 |
|
|
C- GM/Redi flux in Y |
192 |
|
|
IF (useGMRedi) THEN |
193 |
|
|
CALL GMREDI_YTRANSPORT( |
194 |
|
|
C *note* should update GMREDI_YTRANSPORT to use localT and set df *aja* |
195 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,K, |
196 |
|
|
I yA,Tracer, |
197 |
|
|
U df, |
198 |
|
|
I myThid) |
199 |
|
|
ENDIF |
200 |
|
|
#endif |
201 |
|
|
DO j=1-Oly,sNy+Oly |
202 |
|
|
DO i=1-Olx,sNx+Olx |
203 |
|
|
fMer(i,j) = fMer(i,j) + df(i,j) |
204 |
|
|
ENDDO |
205 |
|
|
ENDDO |
206 |
|
|
|
207 |
|
|
C- Bi-harmonic flux in Y |
208 |
|
|
IF (diffK4 .NE. 0.) THEN |
209 |
|
|
CALL GAD_BIHARM_Y(bi,bj,k,yA,df4,diffK4,df,myThid) |
210 |
|
|
DO j=1-Oly,sNy+Oly |
211 |
|
|
DO i=1-Olx,sNx+Olx |
212 |
|
|
fMer(i,j) = fMer(i,j) + df(i,j) |
213 |
|
|
ENDDO |
214 |
|
|
ENDDO |
215 |
|
|
ENDIF |
216 |
|
|
|
217 |
|
|
C-- Initialize net flux in R |
218 |
|
|
DO j=jMin,jMax |
219 |
|
|
DO i=iMin,iMax |
220 |
|
|
fVerT(i,j,kUp) = 0. |
221 |
|
|
ENDDO |
222 |
|
|
ENDDO |
223 |
|
|
|
224 |
|
|
C- Advective flux in R |
225 |
jmc |
1.2 |
C Note: wVel needs to be masked |
226 |
|
|
IF (K.GE.2) THEN |
227 |
|
|
C- Compute vertical advective flux in the interior: |
228 |
adcroft |
1.3 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
229 |
jmc |
1.2 |
CALL GAD_C2_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
230 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
231 |
jmc |
1.2 |
CALL GAD_FLUXLIMIT_ADV_R( |
232 |
adcroft |
1.1 |
& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
233 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
234 |
jmc |
1.2 |
CALL GAD_U3_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
235 |
adcroft |
1.3 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
236 |
jmc |
1.2 |
CALL GAD_C4_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
237 |
|
|
c CALL GAD_C2_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
238 |
|
|
ELSE |
239 |
adcroft |
1.3 |
STOP 'GAD_CALC_RHS: Bad advectionScheme (R)' |
240 |
jmc |
1.2 |
ENDIF |
241 |
|
|
C- Surface "correction" term at k>1 : |
242 |
|
|
DO j=1-Oly,sNy+Oly |
243 |
|
|
DO i=1-Olx,sNx+Olx |
244 |
|
|
af(i,j) = af(i,j) |
245 |
|
|
& + (maskC(i,j,k,bi,bj)-maskC(i,j,k-1,bi,bj))* |
246 |
|
|
& rTrans(i,j)*Tracer(i,j,k,bi,bj) |
247 |
|
|
ENDDO |
248 |
|
|
ENDDO |
249 |
adcroft |
1.1 |
ELSE |
250 |
jmc |
1.2 |
C- Surface "correction" term at k=1 : |
251 |
|
|
DO j=1-Oly,sNy+Oly |
252 |
|
|
DO i=1-Olx,sNx+Olx |
253 |
|
|
af(i,j) = rTrans(i,j)*Tracer(i,j,k,bi,bj) |
254 |
|
|
ENDDO |
255 |
|
|
ENDDO |
256 |
adcroft |
1.1 |
ENDIF |
257 |
jmc |
1.2 |
C- add the advective flux to fVerT |
258 |
adcroft |
1.1 |
DO j=jMin,jMax |
259 |
|
|
DO i=iMin,iMax |
260 |
|
|
fVerT(i,j,kUp) = fVerT(i,j,kUp) + afFacT*af(i,j) |
261 |
|
|
ENDDO |
262 |
|
|
ENDDO |
263 |
|
|
|
264 |
|
|
C- Diffusive flux in R |
265 |
|
|
C Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper |
266 |
|
|
C boundary condition. |
267 |
|
|
IF (implicitDiffusion) THEN |
268 |
|
|
DO j=jMin,jMax |
269 |
|
|
DO i=iMin,iMax |
270 |
|
|
df(i,j) = 0. |
271 |
|
|
ENDDO |
272 |
|
|
ENDDO |
273 |
|
|
ELSE |
274 |
|
|
CALL GAD_DIFF_R(bi,bj,k,KappaRT,tracer,df,myThid) |
275 |
|
|
ENDIF |
276 |
|
|
c DO j=jMin,jMax |
277 |
|
|
c DO i=iMin,iMax |
278 |
|
|
c fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
279 |
|
|
c ENDDO |
280 |
|
|
c ENDDO |
281 |
|
|
|
282 |
|
|
#ifdef ALLOW_GMREDI |
283 |
|
|
C- GM/Redi flux in R |
284 |
|
|
IF (useGMRedi) THEN |
285 |
|
|
C *note* should update GMREDI_RTRANSPORT to set df *aja* |
286 |
|
|
CALL GMREDI_RTRANSPORT( |
287 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,K, |
288 |
|
|
I maskUp,Tracer, |
289 |
|
|
U df, |
290 |
|
|
I myThid) |
291 |
|
|
c DO j=jMin,jMax |
292 |
|
|
c DO i=iMin,iMax |
293 |
|
|
c fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
294 |
|
|
c ENDDO |
295 |
|
|
c ENDDO |
296 |
|
|
ENDIF |
297 |
|
|
#endif |
298 |
|
|
|
299 |
|
|
DO j=jMin,jMax |
300 |
|
|
DO i=iMin,iMax |
301 |
|
|
fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
302 |
|
|
ENDDO |
303 |
|
|
ENDDO |
304 |
|
|
|
305 |
|
|
#ifdef ALLOW_KPP |
306 |
|
|
C- Add non local KPP transport term (ghat) to diffusive T flux. |
307 |
|
|
IF (useKPP) THEN |
308 |
|
|
DO j=jMin,jMax |
309 |
|
|
DO i=iMin,iMax |
310 |
|
|
df(i,j) = 0. |
311 |
|
|
ENDDO |
312 |
|
|
ENDDO |
313 |
|
|
IF (tracerIdentity.EQ.GAD_TEMPERATURE) THEN |
314 |
|
|
C *note* should update KPP_TRANSPORT_T to set df *aja* |
315 |
|
|
CALL KPP_TRANSPORT_T( |
316 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
317 |
|
|
I KappaRT, |
318 |
|
|
U df ) |
319 |
|
|
ELSEIF (tracerIdentity.EQ.GAD_SALINITY) THEN |
320 |
|
|
CALL KPP_TRANSPORT_S( |
321 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
322 |
|
|
I KappaRT, |
323 |
|
|
U df ) |
324 |
|
|
ELSE |
325 |
|
|
STOP 'GAD_CALC_RHS: Ooops' |
326 |
|
|
ENDIF |
327 |
|
|
DO j=jMin,jMax |
328 |
|
|
DO i=iMin,iMax |
329 |
|
|
fVerT(i,j,kUp) = fVerT(i,j,kUp) + dfFacT*df(i,j)*maskUp(i,j) |
330 |
|
|
ENDDO |
331 |
|
|
ENDDO |
332 |
|
|
ENDIF |
333 |
|
|
#endif |
334 |
|
|
|
335 |
|
|
C-- Divergence of fluxes |
336 |
|
|
DO j=jMin,jMax |
337 |
|
|
DO i=iMin,iMax |
338 |
|
|
gTracer(i,j,k,bi,bj)= |
339 |
|
|
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
340 |
|
|
& *recip_rA(i,j,bi,bj) |
341 |
|
|
& *( |
342 |
|
|
& +( fZon(i+1,j)-fZon(i,j) ) |
343 |
|
|
& +( fMer(i,j+1)-fMer(i,j) ) |
344 |
|
|
& +( fVerT(i,j,kUp)-fVerT(i,j,kDown) )*rkFac |
345 |
|
|
& ) |
346 |
|
|
ENDDO |
347 |
|
|
ENDDO |
348 |
|
|
|
349 |
|
|
RETURN |
350 |
|
|
END |