8 |
C !INTERFACE: |
C !INTERFACE: |
9 |
SUBROUTINE CALC_PHI_HYD( |
SUBROUTINE CALC_PHI_HYD( |
10 |
I bi, bj, iMin, iMax, jMin, jMax, K, |
I bi, bj, iMin, iMax, jMin, jMax, K, |
11 |
I theta, salt, |
I tFld, sFld, |
12 |
U phiHyd, |
U phiHyd, |
13 |
I myThid) |
I myThid) |
14 |
C !DESCRIPTION: \bv |
C !DESCRIPTION: \bv |
18 |
C *==========================================================* |
C *==========================================================* |
19 |
C | Potential (ocean: Pressure/rho ; atmos = geopotential)| |
C | Potential (ocean: Pressure/rho ; atmos = geopotential)| |
20 |
C | On entry: | |
C | On entry: | |
21 |
C | theta,salt are the current thermodynamics quantities| |
C | tFld,sFld are the current thermodynamics quantities| |
22 |
C | (unchanged on exit) | |
C | (unchanged on exit) | |
23 |
C | phiHyd(i,j,1:k-1) is the hydrostatic Potential | |
C | phiHyd(i,j,1:k-1) is the hydrostatic Potential | |
24 |
C | at cell centers (tracer points) | |
C | at cell centers (tracer points) | |
50 |
#include "tamc.h" |
#include "tamc.h" |
51 |
#include "tamc_keys.h" |
#include "tamc_keys.h" |
52 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
53 |
|
#include "SURFACE.h" |
54 |
|
#include "DYNVARS.h" |
55 |
|
|
56 |
C !INPUT/OUTPUT PARAMETERS: |
C !INPUT/OUTPUT PARAMETERS: |
57 |
C == Routine arguments == |
C == Routine arguments == |
58 |
INTEGER bi,bj,iMin,iMax,jMin,jMax,K |
INTEGER bi,bj,iMin,iMax,jMin,jMax,K |
59 |
_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
60 |
_RL salt(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
61 |
_RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
62 |
INTEGER myThid |
INTEGER myThid |
63 |
|
|
68 |
INTEGER i,j, Kp1 |
INTEGER i,j, Kp1 |
69 |
_RL zero, one, half |
_RL zero, one, half |
70 |
_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
71 |
_RL dRloc,dRlocKp1 |
_RL dRloc,dRlocKp1,locAlpha |
72 |
_RL ddPI, ddPIm, ddPIp, ratioRp, ratioRm |
_RL ddPI, ddPIm, ddPIp, ratioRp, ratioRm |
73 |
CEOP |
CEOP |
74 |
|
|
133 |
C Calculate density |
C Calculate density |
134 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
135 |
kkey = (ikey-1)*Nr + k |
kkey = (ikey-1)*Nr + k |
136 |
CADJ STORE theta(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
CADJ STORE tFld(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
137 |
CADJ STORE salt (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
CADJ STORE sFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
138 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
139 |
CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, k, eosType, |
CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, k, |
140 |
& theta, salt, |
& tFld, sFld, |
141 |
& alphaRho, myThid) |
& alphaRho, myThid) |
142 |
|
|
143 |
|
C Quasi-hydrostatic terms are added in as if they modify the buoyancy |
144 |
|
IF (quasiHydrostatic) THEN |
145 |
|
CALL QUASIHYDROSTATICTERMS(bi,bj,k,alphaRho,myThid) |
146 |
|
ENDIF |
147 |
|
|
148 |
C Hydrostatic pressure at cell centers |
C Hydrostatic pressure at cell centers |
149 |
DO j=jMin,jMax |
DO j=jMin,jMax |
150 |
DO i=iMin,iMax |
DO i=iMin,iMax |
156 |
CADJ GENERAL |
CADJ GENERAL |
157 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
158 |
|
|
159 |
C---------- This discretization is the "finite volume" form |
CmlC---------- This discretization is the "finite volume" form |
160 |
C which has not been used to date since it does not |
CmlC which has not been used to date since it does not |
161 |
C conserve KE+PE exactly even though it is more natural |
CmlC conserve KE+PE exactly even though it is more natural |
162 |
C |
CmlC |
163 |
c IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
Cml IF ( K .EQ. kLowC(i,j,bi,bj) ) THEN |
164 |
c & drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
Cml phiHydLow(i,j,bi,bj) = phiHyd(i,j,k) |
165 |
c phiHyd(i,j,k)=phiHyd(i,j,k)+ |
Cml & + hFacC(i,j,k,bi,bj) |
166 |
c & 0.5*drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
Cml & *drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
167 |
C----------------------------------------------------------------------- |
Cml & + gravity*etaN(i,j,bi,bj) |
168 |
|
Cml ENDIF |
169 |
|
Cml IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
170 |
|
Cml & drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
171 |
|
Cml phiHyd(i,j,k)=phiHyd(i,j,k)+ |
172 |
|
Cml & 0.5*drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
173 |
|
CmlC----------------------------------------------------------------------- |
174 |
|
|
175 |
C---------- This discretization is the "energy conserving" form |
C---------- This discretization is the "energy conserving" form |
176 |
C which has been used since at least Adcroft et al., MWR 1997 |
C which has been used since at least Adcroft et al., MWR 1997 |
177 |
C |
C |
178 |
|
|
179 |
phiHyd(i,j,k)=phiHyd(i,j,k)+ |
phiHyd(i,j,k)=phiHyd(i,j,k)+ |
180 |
& 0.5*dRloc*gravity*alphaRho(i,j)*recip_rhoConst |
& 0.5*dRloc*gravity*alphaRho(i,j)*recip_rhoConst |
181 |
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
182 |
& 0.5*dRlocKp1*gravity*alphaRho(i,j)*recip_rhoConst |
& 0.5*dRlocKp1*gravity*alphaRho(i,j)*recip_rhoConst |
183 |
C----------------------------------------------------------------------- |
C----------------------------------------------------------------------- |
184 |
|
|
185 |
|
C---------- Compute bottom pressure deviation from gravity*rho0*H |
186 |
|
C This has to be done starting from phiHyd at the current |
187 |
|
C tracer point and .5 of the cell's thickness has to be |
188 |
|
C substracted from hFacC |
189 |
|
IF ( K .EQ. kLowC(i,j,bi,bj) ) THEN |
190 |
|
phiHydLow(i,j,bi,bj) = phiHyd(i,j,k) |
191 |
|
& + (hFacC(i,j,k,bi,bj)-.5)*drF(K) |
192 |
|
& *gravity*alphaRho(i,j)*recip_rhoConst |
193 |
|
& + gravity*etaN(i,j,bi,bj) |
194 |
|
ENDIF |
195 |
|
C----------------------------------------------------------------------- |
196 |
|
|
197 |
ENDDO |
ENDDO |
198 |
ENDDO |
ENDDO |
199 |
|
|
200 |
|
ELSEIF ( buoyancyRelation .eq. 'OCEANICP' ) THEN |
201 |
|
C This is the hydrostatic pressure calculation for the Ocean |
202 |
|
C which uses the FIND_RHO() routine to calculate density |
203 |
|
C before integrating g*rho over the current layer/interface |
204 |
|
#ifdef ALLOW_AUTODIFF_TAMC |
205 |
|
CADJ GENERAL |
206 |
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
207 |
|
|
208 |
|
dRloc=drC(k) |
209 |
|
IF (k.EQ.1) dRloc=drF(1) |
210 |
|
IF (k.EQ.Nr) THEN |
211 |
|
dRlocKp1=0. |
212 |
|
ELSE |
213 |
|
dRlocKp1=drC(k+1) |
214 |
|
ENDIF |
215 |
|
|
216 |
|
IF (k.EQ.1) THEN |
217 |
|
DO j=jMin,jMax |
218 |
|
DO i=iMin,iMax |
219 |
|
phiHyd(i,j,k)=0. |
220 |
|
phiHyd(i,j,k)=pload(i,j,bi,bj) |
221 |
|
ENDDO |
222 |
|
ENDDO |
223 |
|
ENDIF |
224 |
|
|
225 |
|
C Calculate density |
226 |
|
#ifdef ALLOW_AUTODIFF_TAMC |
227 |
|
kkey = (ikey-1)*Nr + k |
228 |
|
CADJ STORE tFld(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
229 |
|
CADJ STORE sFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
230 |
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
231 |
|
CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, k, |
232 |
|
& tFld, sFld, |
233 |
|
& alphaRho, myThid) |
234 |
|
|
235 |
|
C Hydrostatic pressure at cell centers |
236 |
|
DO j=jMin,jMax |
237 |
|
DO i=iMin,iMax |
238 |
|
locAlpha=alphaRho(i,j)+rhoConst |
239 |
|
IF (locAlpha.NE.0.) locAlpha=maskC(i,j,k,bi,bj)/locAlpha |
240 |
|
|
241 |
|
CmlC---------- This discretization is the "finite volume" form |
242 |
|
CmlC which has not been used to date since it does not |
243 |
|
CmlC conserve KE+PE exactly even though it is more natural |
244 |
|
CmlC |
245 |
|
Cml IF ( K .EQ. kLowC(i,j,bi,bj) ) THEN |
246 |
|
Cml phiHydLow(i,j,bi,bj) = phiHyd(i,j,k) |
247 |
|
Cml & + hFacC(i,j,k,bi,bj)*drF(K)*locAlpha |
248 |
|
Cml & + Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
249 |
|
Cml ENDIF |
250 |
|
Cml IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
251 |
|
Cml & drF(K)*locAlpha |
252 |
|
Cml phiHyd(i,j,k)=phiHyd(i,j,k)+ |
253 |
|
Cml & 0.5*drF(K)*locAlpha |
254 |
|
CmlC----------------------------------------------------------------------- |
255 |
|
|
256 |
|
C---------- This discretization is the "energy conserving" form |
257 |
|
C which has been used since at least Adcroft et al., MWR 1997 |
258 |
|
C |
259 |
|
|
260 |
|
phiHyd(i,j,k)=phiHyd(i,j,k)+ |
261 |
|
& 0.5*dRloc*locAlpha |
262 |
|
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
263 |
|
& 0.5*dRlocKp1*locAlpha |
264 |
|
|
265 |
|
C----------------------------------------------------------------------- |
266 |
|
|
267 |
|
C---------- Compute gravity*(sea surface elevation) first |
268 |
|
C This has to be done starting from phiHyd at the current |
269 |
|
C tracer point and .5 of the cell's thickness has to be |
270 |
|
C substracted from hFacC |
271 |
|
IF ( K .EQ. kLowC(i,j,bi,bj) ) THEN |
272 |
|
phiHydLow(i,j,bi,bj) = phiHyd(i,j,k) |
273 |
|
& + (hFacC(i,j,k,bi,bj)-0.5)*drF(k)*locAlpha |
274 |
|
& + Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
275 |
|
ENDIF |
276 |
|
C----------------------------------------------------------------------- |
277 |
|
|
278 |
|
ENDDO |
279 |
|
ENDDO |
280 |
|
|
281 |
ELSEIF ( buoyancyRelation .eq. 'ATMOSPHERIC' ) THEN |
ELSEIF ( buoyancyRelation .eq. 'ATMOSPHERIC' ) THEN |
282 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
301 |
DO i=iMin,iMax |
DO i=iMin,iMax |
302 |
phiHyd(i,j,K)= |
phiHyd(i,j,K)= |
303 |
& ddPIp*maskC(i,j,K,bi,bj) |
& ddPIp*maskC(i,j,K,bi,bj) |
304 |
& *(theta(I,J,K,bi,bj)-tRef(K)) |
& *(tFld(I,J,K,bi,bj)-tRef(K)) |
305 |
ENDDO |
ENDDO |
306 |
ENDDO |
ENDDO |
307 |
ELSE |
ELSE |
312 |
DO i=iMin,iMax |
DO i=iMin,iMax |
313 |
phiHyd(i,j,K)=phiHyd(i,j,K-1) |
phiHyd(i,j,K)=phiHyd(i,j,K-1) |
314 |
& +ddPI*maskC(i,j,K-1,bi,bj) |
& +ddPI*maskC(i,j,K-1,bi,bj) |
315 |
& *(theta(I,J,K-1,bi,bj)-tRef(K-1)) |
& *(tFld(I,J,K-1,bi,bj)-tRef(K-1)) |
316 |
& +ddPI*maskC(i,j, K ,bi,bj) |
& +ddPI*maskC(i,j, K ,bi,bj) |
317 |
& *(theta(I,J, K ,bi,bj)-tRef( K )) |
& *(tFld(I,J, K ,bi,bj)-tRef( K )) |
318 |
C Old code (atmos-exact) looked like this |
C Old code (atmos-exact) looked like this |
319 |
Cold phiHyd(i,j,K)=phiHyd(i,j,K-1) - ddPI* |
Cold phiHyd(i,j,K)=phiHyd(i,j,K-1) - ddPI* |
320 |
Cold & (theta(I,J,K-1,bi,bj)+theta(I,J,K,bi,bj)-2.*tRef(K)) |
Cold & (tFld(I,J,K-1,bi,bj)+tFld(I,J,K,bi,bj)-2.*tRef(K)) |
321 |
ENDDO |
ENDDO |
322 |
ENDDO |
ENDDO |
323 |
ENDIF |
ENDIF |
341 |
DO i=iMin,iMax |
DO i=iMin,iMax |
342 |
phiHyd(i,j,K) = |
phiHyd(i,j,K) = |
343 |
& ddPIp*_hFacC(I,J, K ,bi,bj) |
& ddPIp*_hFacC(I,J, K ,bi,bj) |
344 |
& *(theta(I,J, K ,bi,bj)-tRef( K )) |
& *(tFld(I,J, K ,bi,bj)-tRef( K )) |
345 |
ENDDO |
ENDDO |
346 |
ENDDO |
ENDDO |
347 |
ELSE |
ELSE |
353 |
DO i=iMin,iMax |
DO i=iMin,iMax |
354 |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
355 |
& +ddPIm*_hFacC(I,J,K-1,bi,bj) |
& +ddPIm*_hFacC(I,J,K-1,bi,bj) |
356 |
& *(theta(I,J,K-1,bi,bj)-tRef(K-1)) |
& *(tFld(I,J,K-1,bi,bj)-tRef(K-1)) |
357 |
& +ddPIp*_hFacC(I,J, K ,bi,bj) |
& +ddPIp*_hFacC(I,J, K ,bi,bj) |
358 |
& *(theta(I,J, K ,bi,bj)-tRef( K )) |
& *(tFld(I,J, K ,bi,bj)-tRef( K )) |
359 |
ENDDO |
ENDDO |
360 |
ENDDO |
ENDDO |
361 |
ENDIF |
ENDIF |
380 |
phiHyd(i,j,K) = |
phiHyd(i,j,K) = |
381 |
& ( ddPIm*max(zero, _hFacC(i,j,K,bi,bj)-half) |
& ( ddPIm*max(zero, _hFacC(i,j,K,bi,bj)-half) |
382 |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)-half) ) |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)-half) ) |
383 |
& *(theta(i,j, K ,bi,bj)-tRef( K )) |
& *(tFld(i,j, K ,bi,bj)-tRef( K )) |
384 |
& * maskC(i,j, K ,bi,bj) |
& * maskC(i,j, K ,bi,bj) |
385 |
ENDDO |
ENDDO |
386 |
ENDDO |
ENDDO |
393 |
DO i=iMin,iMax |
DO i=iMin,iMax |
394 |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
395 |
& + ddPIm*0.5 |
& + ddPIm*0.5 |
396 |
& *(theta(i,j,K-1,bi,bj)-tRef(K-1)) |
& *(tFld(i,j,K-1,bi,bj)-tRef(K-1)) |
397 |
& * maskC(i,j,K-1,bi,bj) |
& * maskC(i,j,K-1,bi,bj) |
398 |
& +(ddPIm*max(zero, _hFacC(i,j,K,bi,bj)-half) |
& +(ddPIm*max(zero, _hFacC(i,j,K,bi,bj)-half) |
399 |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)-half) ) |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)-half) ) |
400 |
& *(theta(i,j, K ,bi,bj)-tRef( K )) |
& *(tFld(i,j, K ,bi,bj)-tRef( K )) |
401 |
& * maskC(i,j, K ,bi,bj) |
& * maskC(i,j, K ,bi,bj) |
402 |
ENDDO |
ENDDO |
403 |
ENDDO |
ENDDO |
425 |
phiHyd(i,j,K) = |
phiHyd(i,j,K) = |
426 |
& ( ddPIm*max(zero,(_hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
& ( ddPIm*max(zero,(_hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
427 |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
428 |
& *(theta(i,j, K ,bi,bj)-tRef( K )) |
& *(tFld(i,j, K ,bi,bj)-tRef( K )) |
429 |
& * maskC(i,j, K ,bi,bj) |
& * maskC(i,j, K ,bi,bj) |
430 |
ENDDO |
ENDDO |
431 |
ENDDO |
ENDDO |
440 |
DO i=iMin,iMax |
DO i=iMin,iMax |
441 |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
442 |
& + ddPIm*0.5 |
& + ddPIm*0.5 |
443 |
& *(theta(i,j,K-1,bi,bj)-tRef(K-1)) |
& *(tFld(i,j,K-1,bi,bj)-tRef(K-1)) |
444 |
& * maskC(i,j,K-1,bi,bj) |
& * maskC(i,j,K-1,bi,bj) |
445 |
& +(ddPIm*max(zero,(_hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
& +(ddPIm*max(zero,(_hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
446 |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
447 |
& *(theta(i,j, K ,bi,bj)-tRef( K )) |
& *(tFld(i,j, K ,bi,bj)-tRef( K )) |
448 |
& * maskC(i,j, K ,bi,bj) |
& * maskC(i,j, K ,bi,bj) |
449 |
ENDDO |
ENDDO |
450 |
ENDDO |
ENDDO |