7 |
C !ROUTINE: CALC_PHI_HYD |
C !ROUTINE: CALC_PHI_HYD |
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 tFld, sFld, |
I tFld, sFld, |
12 |
U phiHyd, |
U phiHydF, |
13 |
O dPhiHydX, dPhiHydY, |
O phiHydC, dPhiHydX, dPhiHydY, |
14 |
I myTime, myIter, myThid) |
I myTime, myIter, myThid) |
15 |
C !DESCRIPTION: \bv |
C !DESCRIPTION: \bv |
16 |
C *==========================================================* |
C *==========================================================* |
17 |
C | SUBROUTINE CALC_PHI_HYD | |
C | SUBROUTINE CALC_PHI_HYD | |
18 |
C | o Integrate the hydrostatic relation to find the Hydros. | |
C | o Integrate the hydrostatic relation to find the Hydros. | |
19 |
C *==========================================================* |
C *==========================================================* |
20 |
C | Potential (ocean: Pressure/rho ; atmos = geopotential)| |
C | Potential (ocean: Pressure/rho ; atmos = geopotential) |
21 |
C | On entry: | |
C | On entry: |
22 |
C | tFld,sFld are the current thermodynamics quantities| |
C | tFld,sFld are the current thermodynamics quantities |
23 |
C | (unchanged on exit) | |
C | (unchanged on exit) |
24 |
C | phiHyd(i,j,1:k-1) is the hydrostatic Potential | |
C | phiHydF(i,j) is the hydrostatic Potential anomaly |
25 |
C | at cell centers (tracer points) | |
C | at middle between tracer points k-1,k |
26 |
C | - 1:k-1 layers are valid | |
C | On exit: |
27 |
C | - k:Nr layers are invalid | |
C | phiHydC(i,j) is the hydrostatic Potential anomaly |
28 |
C | phiHyd(i,j,k) is the hydrostatic Potential | |
C | at cell centers (tracer points), level k |
29 |
C | (ocean only_^) at cell the interface k (w point above) | |
C | phiHydF(i,j) is the hydrostatic Potential anomaly |
30 |
C | On exit: | |
C | at middle between tracer points k,k+1 |
31 |
C | phiHyd(i,j,1:k) is the hydrostatic Potential | |
C | dPhiHydX,Y hydrostatic Potential gradient (X&Y dir) |
32 |
C | at cell centers (tracer points) | |
C | at cell centers (tracer points), level k |
33 |
C | - 1:k layers are valid | |
C | integr_GeoPot allows to select one integration method |
34 |
C | - k+1:Nr layers are invalid | |
C | 1= Finite volume form ; else= Finite difference form |
|
C | phiHyd(i,j,k+1) is the hydrostatic Potential (P/rho) | |
|
|
C | (ocean only-^) at cell the interface k+1 (w point below)| |
|
|
C | Atmosphere: | |
|
|
C | integr_GeoPot allows to select one integration method | |
|
|
C | (see the list below) | |
|
35 |
C *==========================================================* |
C *==========================================================* |
36 |
C \ev |
C \ev |
37 |
C !USES: |
C !USES: |
41 |
#include "GRID.h" |
#include "GRID.h" |
42 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
43 |
#include "PARAMS.h" |
#include "PARAMS.h" |
|
c #include "FFIELDS.h" |
|
44 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
45 |
#include "tamc.h" |
#include "tamc.h" |
46 |
#include "tamc_keys.h" |
#include "tamc_keys.h" |
50 |
|
|
51 |
C !INPUT/OUTPUT PARAMETERS: |
C !INPUT/OUTPUT PARAMETERS: |
52 |
C == Routine arguments == |
C == Routine arguments == |
53 |
INTEGER bi,bj,iMin,iMax,jMin,jMax,K |
C bi, bj, k :: tile and level indices |
54 |
|
C iMin,iMax,jMin,jMax :: computational domain |
55 |
|
C tFld :: potential temperature |
56 |
|
C sFld :: salinity |
57 |
|
C phiHydF :: hydrostatic potential anomaly at middle between |
58 |
|
C 2 centers (entry: Interf_k ; output: Interf_k+1) |
59 |
|
C phiHydC :: hydrostatic potential anomaly at cell center |
60 |
|
C dPhiHydX,Y :: gradient (X & Y dir.) of hydrostatic potential anom. |
61 |
|
C myTime :: current time |
62 |
|
C myIter :: current iteration number |
63 |
|
C myThid :: thread number for this instance of the routine. |
64 |
|
INTEGER bi,bj,iMin,iMax,jMin,jMax,k |
65 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
66 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
67 |
_RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
c _RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
68 |
|
_RL phiHydF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
69 |
|
_RL phiHydC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
70 |
_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
71 |
_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
72 |
_RL myTime |
_RL myTime |
76 |
|
|
77 |
C !LOCAL VARIABLES: |
C !LOCAL VARIABLES: |
78 |
C == Local variables == |
C == Local variables == |
79 |
INTEGER i,j, Kp1 |
INTEGER i,j |
80 |
_RL zero, one, half |
_RL zero, one, half |
81 |
_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
82 |
_RL dRloc,dRlocKp1,locAlpha |
_RL dRlocM,dRlocP, ddRloc, locAlpha |
83 |
_RL ddPI, ddPIm, ddPIp, ratioRp, ratioRm |
_RL ddPIm, ddPIp, rec_dRm, rec_dRp |
84 |
|
_RL surfPhiFac |
85 |
INTEGER iMnLoc,jMnLoc |
INTEGER iMnLoc,jMnLoc |
86 |
PARAMETER ( zero= 0. _d 0 , one= 1. _d 0 , half= .5 _d 0 ) |
PARAMETER ( zero= 0. _d 0 , one= 1. _d 0 , half= .5 _d 0 ) |
87 |
LOGICAL useDiagPhiRlow |
LOGICAL useDiagPhiRlow, addSurfPhiAnom |
88 |
CEOP |
CEOP |
89 |
useDiagPhiRlow = .TRUE. |
useDiagPhiRlow = .TRUE. |
90 |
|
addSurfPhiAnom = select_rStar.EQ.0 .AND. nonlinFreeSurf.GT.3 |
91 |
|
surfPhiFac = 0. |
92 |
|
IF (addSurfPhiAnom) surfPhiFac = 1. |
93 |
|
|
94 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
95 |
C Atmosphere: |
C Atmosphere: |
96 |
C integr_GeoPot => select one option for the integration of the Geopotential: |
C integr_GeoPot => select one option for the integration of the Geopotential: |
97 |
C = 0 : Energy Conserving Form, No hFac ; |
C = 0 : Energy Conserving Form, accurate with Topo full cell; |
98 |
C = 1 : Finite Volume Form, with hFac, linear in P by Half level; |
C = 1 : Finite Volume Form, with Part-Cell, linear in P by Half level; |
99 |
C =2,3: Finite Difference Form, with hFac, linear in P between 2 Tracer levels |
C =2,3: Finite Difference Form, with Part-Cell, |
100 |
C 2 : case Tracer level at the middle of InterFace_W; |
C linear in P between 2 Tracer levels. |
101 |
C 3 : case InterFace_W at the middle of Tracer levels; |
C can handle both cases: Tracer lev at the middle of InterFace_W |
102 |
|
C and InterFace_W at the middle of Tracer lev; |
103 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
104 |
|
|
105 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
119 |
& + act4*max1*max2*max3 |
& + act4*max1*max2*max3 |
120 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
121 |
|
|
122 |
|
C-- Initialize phiHydF to zero : |
123 |
|
C note: atmospheric_loading or Phi_topo anomaly are incorporated |
124 |
|
C later in S/R calc_grad_phi_hyd |
125 |
|
IF (k.EQ.1) THEN |
126 |
|
DO j=1-Oly,sNy+Oly |
127 |
|
DO i=1-Olx,sNx+Olx |
128 |
|
phiHydF(i,j) = 0. |
129 |
|
ENDDO |
130 |
|
ENDDO |
131 |
|
ENDIF |
132 |
|
|
133 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
134 |
IF ( buoyancyRelation .eq. 'OCEANIC' ) THEN |
IF ( buoyancyRelation .EQ. 'OCEANIC' ) THEN |
135 |
C This is the hydrostatic pressure calculation for the Ocean |
C This is the hydrostatic pressure calculation for the Ocean |
136 |
C which uses the FIND_RHO() routine to calculate density |
C which uses the FIND_RHO() routine to calculate density |
137 |
C before integrating g*rho over the current layer/interface |
C before integrating g*rho over the current layer/interface |
139 |
CADJ GENERAL |
CADJ GENERAL |
140 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
141 |
|
|
142 |
dRloc=drC(k) |
C--- Calculate density |
|
IF (k.EQ.1) dRloc=drF(1) |
|
|
IF (k.EQ.Nr) THEN |
|
|
dRlocKp1=0. |
|
|
ELSE |
|
|
dRlocKp1=drC(k+1) |
|
|
ENDIF |
|
|
|
|
|
C-- If this is the top layer we impose the boundary condition |
|
|
C P(z=eta) = P(atmospheric_loading) |
|
|
IF (k.EQ.1) THEN |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
c phiHyd(i,j,k) = phi0surf(i,j,bi,bj) |
|
|
phiHyd(i,j,k) = 0. |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDIF |
|
|
|
|
|
C Calculate density |
|
143 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
144 |
kkey = (ikey-1)*Nr + k |
kkey = (ikey-1)*Nr + k |
145 |
CADJ STORE tFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
CADJ STORE tFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
154 |
CALL QUASIHYDROSTATICTERMS(bi,bj,k,alphaRho,myThid) |
CALL QUASIHYDROSTATICTERMS(bi,bj,k,alphaRho,myThid) |
155 |
ENDIF |
ENDIF |
156 |
|
|
157 |
C--- Diagnose Hydrostatic pressure at the bottom: |
#ifdef NONLIN_FRSURF |
158 |
IF (useDiagPhiRlow) THEN |
IF (k.EQ.1 .AND. addSurfPhiAnom) THEN |
159 |
CALL DIAGS_PHI_RLOW( |
DO j=jMin,jMax |
160 |
I k, bi, bj, iMin,iMax, jMin,jMax, |
DO i=iMin,iMax |
161 |
I phiHyd, alphaRho, tFld, sFld, |
phiHydF(i,j) = surfPhiFac*etaH(i,j,bi,bj) |
162 |
I myTime, myIter, myThid) |
& *gravity*alphaRho(i,j)*recip_rhoConst |
163 |
ENDIF |
ENDDO |
164 |
|
ENDDO |
165 |
|
ENDIF |
166 |
|
#endif /* NONLIN_FRSURF */ |
167 |
|
|
168 |
C--- Hydrostatic pressure at cell centers |
C---- Hydrostatic pressure at cell centers |
169 |
|
|
170 |
IF (integr_GeoPot.EQ.1) THEN |
IF (integr_GeoPot.EQ.1) THEN |
171 |
C -- Finite Volume Form |
C -- Finite Volume Form |
177 |
C which has not been used to date since it does not |
C which has not been used to date since it does not |
178 |
C conserve KE+PE exactly even though it is more natural |
C conserve KE+PE exactly even though it is more natural |
179 |
C |
C |
180 |
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k) |
phiHydC(i,j)=phiHydF(i,j) |
181 |
& + drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
& + half*drF(k)*gravity*alphaRho(i,j)*recip_rhoConst |
182 |
phiHyd(i,j,k)=phiHyd(i,j,k) |
phiHydF(i,j)=phiHydF(i,j) |
183 |
& + half*drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
& + drF(k)*gravity*alphaRho(i,j)*recip_rhoConst |
|
|
|
184 |
ENDDO |
ENDDO |
185 |
ENDDO |
ENDDO |
186 |
|
|
187 |
ELSE |
ELSE |
188 |
C -- Finite Difference Form |
C -- Finite Difference Form |
189 |
|
|
190 |
|
dRlocM=half*drC(k) |
191 |
|
IF (k.EQ.1) dRlocM=rF(k)-rC(k) |
192 |
|
IF (k.EQ.Nr) THEN |
193 |
|
dRlocP=rC(k)-rF(k+1) |
194 |
|
ELSE |
195 |
|
dRlocP=half*drC(k+1) |
196 |
|
ENDIF |
197 |
|
|
198 |
DO j=jMin,jMax |
DO j=jMin,jMax |
199 |
DO i=iMin,iMax |
DO i=iMin,iMax |
200 |
|
|
201 |
C---------- This discretization is the "energy conserving" form |
C---------- This discretization is the "energy conserving" form |
202 |
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 |
203 |
C |
C |
204 |
phiHyd(i,j,k)=phiHyd(i,j,k) |
phiHydC(i,j)=phiHydF(i,j) |
205 |
& +half*dRloc*gravity*alphaRho(i,j)*recip_rhoConst |
& +dRlocM*gravity*alphaRho(i,j)*recip_rhoConst |
206 |
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k) |
phiHydF(i,j)=phiHydC(i,j) |
207 |
& +half*dRlocKp1*gravity*alphaRho(i,j)*recip_rhoConst |
& +dRlocP*gravity*alphaRho(i,j)*recip_rhoConst |
|
|
|
208 |
ENDDO |
ENDDO |
209 |
ENDDO |
ENDDO |
210 |
|
|
212 |
ENDIF |
ENDIF |
213 |
|
|
214 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
215 |
ELSEIF ( buoyancyRelation .eq. 'OCEANICP' ) THEN |
ELSEIF ( buoyancyRelation .EQ. 'OCEANICP' ) THEN |
216 |
C This is the hydrostatic pressure calculation for the Ocean |
C This is the hydrostatic pressure calculation for the Ocean |
217 |
C which uses the FIND_RHO() routine to calculate density |
C which uses the FIND_RHO() routine to calculate density |
218 |
C before integrating (1/rho)'*dp over the current layer/interface |
C before integrating (1/rho)'*dp over the current layer/interface |
220 |
CADJ GENERAL |
CADJ GENERAL |
221 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
#endif /* ALLOW_AUTODIFF_TAMC */ |
222 |
|
|
|
dRloc=drC(k) |
|
|
IF (k.EQ.1) dRloc=drF(1) |
|
|
IF (k.EQ.Nr) THEN |
|
|
dRlocKp1=0. |
|
|
ELSE |
|
|
dRlocKp1=drC(k+1) |
|
|
ENDIF |
|
|
|
|
|
IF (k.EQ.1) THEN |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
c phiHyd(i,j,k) = phi0surf(i,j,bi,bj) |
|
|
phiHyd(i,j,k) = 0. |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDIF |
|
|
|
|
223 |
C-- Calculate density |
C-- Calculate density |
224 |
#ifdef ALLOW_AUTODIFF_TAMC |
#ifdef ALLOW_AUTODIFF_TAMC |
225 |
kkey = (ikey-1)*Nr + k |
kkey = (ikey-1)*Nr + k |
242 |
ENDDO |
ENDDO |
243 |
ENDDO |
ENDDO |
244 |
|
|
|
C--- Diagnose Sea-surface height (Hydrostatic geopotential at r=Rlow): |
|
|
IF (useDiagPhiRlow) THEN |
|
|
CALL DIAGS_PHI_RLOW( |
|
|
I k, bi, bj, iMin,iMax, jMin,jMax, |
|
|
I phiHyd, alphaRho, tFld, sFld, |
|
|
I myTime, myIter, myThid) |
|
|
ENDIF |
|
|
|
|
245 |
C---- Hydrostatic pressure at cell centers |
C---- Hydrostatic pressure at cell centers |
246 |
|
|
247 |
IF (integr_GeoPot.EQ.1) THEN |
IF (integr_GeoPot.EQ.1) THEN |
254 |
C which has not been used to date since it does not |
C which has not been used to date since it does not |
255 |
C conserve KE+PE exactly even though it is more natural |
C conserve KE+PE exactly even though it is more natural |
256 |
C |
C |
257 |
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k) |
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
258 |
& + hFacC(i,j,k,bi,bj)*drF(K)*alphaRho(i,j) |
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
259 |
phiHyd(i,j,k)=phiHyd(i,j,k) |
#ifdef NONLIN_FRSURF |
260 |
& +(hFacC(i,j,k,bi,bj)-half)*drF(K)*alphaRho(i,j) |
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
261 |
|
#endif |
262 |
|
phiHydC(i,j) = ddRloc*alphaRho(i,j) |
263 |
|
c--to reproduce results of c48d_post: uncomment those 4+1 lines |
264 |
|
c phiHydC(i,j)=phiHydF(i,j) |
265 |
|
c & +(hFacC(i,j,k,bi,bj)-half)*drF(k)*alphaRho(i,j) |
266 |
|
c phiHydF(i,j)=phiHydF(i,j) |
267 |
|
c & + hFacC(i,j,k,bi,bj)*drF(k)*alphaRho(i,j) |
268 |
|
ELSE |
269 |
|
phiHydC(i,j) = phiHydF(i,j) + half*drF(k)*alphaRho(i,j) |
270 |
|
c phiHydF(i,j) = phiHydF(i,j) + drF(k)*alphaRho(i,j) |
271 |
|
ENDIF |
272 |
|
c-- and comment this last one: |
273 |
|
phiHydF(i,j) = phiHydC(i,j) + half*drF(k)*alphaRho(i,j) |
274 |
|
c----- |
275 |
ENDDO |
ENDDO |
276 |
ENDDO |
ENDDO |
277 |
|
|
278 |
ELSE |
ELSE |
279 |
C -- Finite Difference Form |
C -- Finite Difference Form, with Part-Cell Bathy |
280 |
|
|
281 |
|
dRlocM=half*drC(k) |
282 |
|
IF (k.EQ.1) dRlocM=rF(k)-rC(k) |
283 |
|
IF (k.EQ.Nr) THEN |
284 |
|
dRlocP=rC(k)-rF(k+1) |
285 |
|
ELSE |
286 |
|
dRlocP=half*drC(k+1) |
287 |
|
ENDIF |
288 |
|
rec_dRm = one/(rF(k)-rC(k)) |
289 |
|
rec_dRp = one/(rC(k)-rF(k+1)) |
290 |
|
|
291 |
DO j=jMin,jMax |
DO j=jMin,jMax |
292 |
DO i=iMin,iMax |
DO i=iMin,iMax |
293 |
|
|
294 |
C---------- This discretization is the "energy conserving" form |
C---------- This discretization is the "energy conserving" form |
295 |
|
|
296 |
phiHyd(i,j,k)=phiHyd(i,j,k) |
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
297 |
& + half*dRloc*alphaRho(i,j) |
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
298 |
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k) |
#ifdef NONLIN_FRSURF |
299 |
& + half*dRlocKp1*alphaRho(i,j) |
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
300 |
|
#endif |
301 |
|
phiHydC(i,j) =( MAX(zero,ddRloc)*rec_dRm*dRlocM |
302 |
|
& +MIN(zero,ddRloc)*rec_dRp*dRlocP |
303 |
|
& )*alphaRho(i,j) |
304 |
|
ELSE |
305 |
|
phiHydC(i,j) = phiHydF(i,j) + dRlocM*alphaRho(i,j) |
306 |
|
ENDIF |
307 |
|
phiHydF(i,j) = phiHydC(i,j) + dRlocP*alphaRho(i,j) |
308 |
ENDDO |
ENDDO |
309 |
ENDDO |
ENDDO |
310 |
|
|
311 |
C -- end if integr_GeoPot = ... |
C -- end if integr_GeoPot = ... |
312 |
ENDIF |
ENDIF |
313 |
|
|
314 |
ELSEIF ( buoyancyRelation .eq. 'ATMOSPHERIC' ) THEN |
ELSEIF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN |
315 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
316 |
C This is the hydrostatic geopotential calculation for the Atmosphere |
C This is the hydrostatic geopotential calculation for the Atmosphere |
317 |
C The ideal gas law is used implicitly here rather than calculating |
C The ideal gas law is used implicitly here rather than calculating |
318 |
C the specific volume, analogous to the oceanic case. |
C the specific volume, analogous to the oceanic case. |
319 |
|
|
320 |
C Integrate d Phi / d pi |
C--- Integrate d Phi / d pi |
321 |
|
|
322 |
IF (integr_GeoPot.EQ.0) THEN |
IF (integr_GeoPot.EQ.0) THEN |
323 |
C -- Energy Conserving Form, No hFac -- |
C -- Energy Conserving Form, accurate with Full cell topo -- |
324 |
C------------ The integration for the first level phi(k=1) is the same |
C------------ The integration for the first level phi(k=1) is the same |
325 |
C for both the "finite volume" and energy conserving methods. |
C for both the "finite volume" and energy conserving methods. |
326 |
Ci *NOTE* o Working with geopotential Anomaly, the geopotential boundary |
C *NOTE* o Working with geopotential Anomaly, the geopotential boundary |
327 |
C condition is simply Phi-prime(Ro_surf)=0. |
C condition is simply Phi-prime(Ro_surf)=0. |
328 |
C o convention ddPI > 0 (same as drF & drC) |
C o convention ddPI > 0 (same as drF & drC) |
329 |
C----------------------------------------------------------------------- |
C----------------------------------------------------------------------- |
330 |
IF (K.EQ.1) THEN |
IF (k.EQ.1) THEN |
331 |
ddPIp=atm_Cp*( ((rF(K)/atm_Po)**atm_kappa) |
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
332 |
& -((rC(K)/atm_Po)**atm_kappa) ) |
& -((rC( k )/atm_Po)**atm_kappa) ) |
333 |
DO j=jMin,jMax |
ELSE |
334 |
DO i=iMin,iMax |
ddPIm=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) |
335 |
c phiHyd(i,j,K)= phi0surf(i,j,bi,bj)+ |
& -((rC( k )/atm_Po)**atm_kappa) )*half |
336 |
phiHyd(i,j,K)= |
ENDIF |
337 |
& ddPIp*maskC(i,j,K,bi,bj) |
IF (k.EQ.Nr) THEN |
338 |
& *(tFld(I,J,K,bi,bj)-tRef(K)) |
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
339 |
ENDDO |
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
340 |
ENDDO |
ELSE |
341 |
ELSE |
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
342 |
|
& -((rC(k+1)/atm_Po)**atm_kappa) )*half |
343 |
|
ENDIF |
344 |
C-------- This discretization is the energy conserving form |
C-------- This discretization is the energy conserving form |
345 |
ddPI=atm_Cp*( ((rC(K-1)/atm_Po)**atm_kappa) |
DO j=jMin,jMax |
346 |
& -((rC( K )/atm_Po)**atm_kappa) )*0.5 |
DO i=iMin,iMax |
347 |
DO j=jMin,jMax |
phiHydC(i,j) = phiHydF(i,j) |
348 |
DO i=iMin,iMax |
& +ddPIm*maskC(i,j,k,bi,bj) |
349 |
phiHyd(i,j,K)=phiHyd(i,j,K-1) |
& *(tFld(i,j,k,bi,bj)-tRef(k)) |
350 |
& +ddPI*maskC(i,j,K-1,bi,bj) |
phiHydF(i,j) = phiHydC(i,j) |
351 |
& *(tFld(I,J,K-1,bi,bj)-tRef(K-1)) |
& +ddPIp*maskC(i,j,k,bi,bj) |
352 |
& +ddPI*maskC(i,j, K ,bi,bj) |
& *(tFld(i,j,k,bi,bj)-tRef(k)) |
|
& *(tFld(I,J, K ,bi,bj)-tRef( K )) |
|
|
C Old code (atmos-exact) looked like this |
|
|
Cold phiHyd(i,j,K)=phiHyd(i,j,K-1) - ddPI* |
|
|
Cold & (tFld(I,J,K-1,bi,bj)+tFld(I,J,K,bi,bj)-2.*tRef(K)) |
|
|
ENDDO |
|
353 |
ENDDO |
ENDDO |
354 |
ENDIF |
ENDDO |
355 |
C end: Energy Conserving Form, No hFac -- |
C end: Energy Conserving Form, No hFac -- |
356 |
C----------------------------------------------------------------------- |
C----------------------------------------------------------------------- |
357 |
|
|
358 |
ELSEIF (integr_GeoPot.EQ.1) THEN |
ELSEIF (integr_GeoPot.EQ.1) THEN |
359 |
C -- Finite Volume Form, with hFac, linear in P by Half level -- |
C -- Finite Volume Form, with Part-Cell Topo, linear in P by Half level |
360 |
C--------- |
C--------- |
361 |
C Finite Volume formulation consistent with Partial Cell, linear in p by piece |
C Finite Volume formulation consistent with Partial Cell, linear in p by piece |
362 |
C Note: a true Finite Volume form should be linear between 2 Interf_W : |
C Note: a true Finite Volume form should be linear between 2 Interf_W : |
365 |
C is close to the Energy Cons. form in the Interior, except for the |
C is close to the Energy Cons. form in the Interior, except for the |
366 |
C non-linearity in PI(p) |
C non-linearity in PI(p) |
367 |
C--------- |
C--------- |
368 |
IF (K.EQ.1) THEN |
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
369 |
ddPIp=atm_Cp*( ((rF(K)/atm_Po)**atm_kappa) |
& -((rC( k )/atm_Po)**atm_kappa) ) |
370 |
& -((rC(K)/atm_Po)**atm_kappa) ) |
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
371 |
DO j=jMin,jMax |
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
372 |
DO i=iMin,iMax |
DO j=jMin,jMax |
373 |
c phiHyd(i,j,K)= phi0surf(i,j,bi,bj)+ |
DO i=iMin,iMax |
374 |
phiHyd(i,j,K)= |
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
375 |
& ddPIp*_hFacC(I,J, K ,bi,bj) |
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
376 |
& *(tFld(I,J, K ,bi,bj)-tRef( K )) |
#ifdef NONLIN_FRSURF |
377 |
ENDDO |
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
378 |
ENDDO |
#endif |
379 |
ELSE |
phiHydC(i,j) = ddRloc*recip_drF(k)*2. _d 0 |
380 |
ddPIm=atm_Cp*( ((rC(K-1)/atm_Po)**atm_kappa) |
& *ddPIm*maskC(i,j,k,bi,bj) |
381 |
& -((rF( K )/atm_Po)**atm_kappa) ) |
& *(tFld(i,j,k,bi,bj)-tRef(k)) |
382 |
ddPIp=atm_Cp*( ((rF( K )/atm_Po)**atm_kappa) |
ELSE |
383 |
& -((rC( K )/atm_Po)**atm_kappa) ) |
phiHydC(i,j) = phiHydF(i,j) |
384 |
DO j=jMin,jMax |
& +ddPIm*maskC(i,j,k,bi,bj) |
385 |
DO i=iMin,iMax |
& *(tFld(i,j,k,bi,bj)-tRef(k)) |
386 |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
ENDIF |
387 |
& +ddPIm*_hFacC(I,J,K-1,bi,bj) |
phiHydF(i,j) = phiHydC(i,j) |
388 |
& *(tFld(I,J,K-1,bi,bj)-tRef(K-1)) |
& +ddPIp*maskC(i,j,k,bi,bj) |
389 |
& +ddPIp*_hFacC(I,J, K ,bi,bj) |
& *(tFld(i,j,k,bi,bj)-tRef(k)) |
|
& *(tFld(I,J, K ,bi,bj)-tRef( K )) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDIF |
|
|
C end: Finite Volume Form, with hFac, linear in P by Half level -- |
|
|
C----------------------------------------------------------------------- |
|
|
|
|
|
ELSEIF (integr_GeoPot.EQ.2) THEN |
|
|
C -- Finite Difference Form, with hFac, Tracer Lev. = middle -- |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
|
|
C Finite Difference formulation consistent with Partial Cell, |
|
|
C case Tracer level at the middle of InterFace_W |
|
|
C linear between 2 Tracer levels ; conserve energy in the Interior |
|
|
C--------- |
|
|
Kp1 = min(Nr,K+1) |
|
|
IF (K.EQ.1) THEN |
|
|
ddPIm=atm_Cp*( ((rF( K )/atm_Po)**atm_kappa) |
|
|
& -((rC( K )/atm_Po)**atm_kappa) ) * 2. _d 0 |
|
|
ddPIp=atm_Cp*( ((rC( K )/atm_Po)**atm_kappa) |
|
|
& -((rC(Kp1)/atm_Po)**atm_kappa) ) |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
c phiHyd(i,j,K)= phi0surf(i,j,bi,bj)+ |
|
|
phiHyd(i,j,K)= |
|
|
& ( ddPIm*max(zero, _hFacC(i,j,K,bi,bj)-half) |
|
|
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)-half) ) |
|
|
& *(tFld(i,j, K ,bi,bj)-tRef( K )) |
|
|
& * maskC(i,j, K ,bi,bj) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ELSE |
|
|
ddPIm=atm_Cp*( ((rC(K-1)/atm_Po)**atm_kappa) |
|
|
& -((rC( K )/atm_Po)**atm_kappa) ) |
|
|
ddPIp=atm_Cp*( ((rC( K )/atm_Po)**atm_kappa) |
|
|
& -((rC(Kp1)/atm_Po)**atm_kappa) ) |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
|
|
& + ddPIm*0.5 |
|
|
& *(tFld(i,j,K-1,bi,bj)-tRef(K-1)) |
|
|
& * maskC(i,j,K-1,bi,bj) |
|
|
& +(ddPIm*max(zero, _hFacC(i,j,K,bi,bj)-half) |
|
|
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)-half) ) |
|
|
& *(tFld(i,j, K ,bi,bj)-tRef( K )) |
|
|
& * maskC(i,j, K ,bi,bj) |
|
|
ENDDO |
|
390 |
ENDDO |
ENDDO |
391 |
ENDIF |
ENDDO |
392 |
C end: Finite Difference Form, with hFac, Tracer Lev. = middle -- |
C end: Finite Volume Form, with Part-Cell Topo, linear in P by Half level |
393 |
C----------------------------------------------------------------------- |
C----------------------------------------------------------------------- |
394 |
|
|
395 |
ELSEIF (integr_GeoPot.EQ.3) THEN |
ELSEIF ( integr_GeoPot.EQ.2 |
396 |
C -- Finite Difference Form, with hFac, Interface_W = middle -- |
& .OR. integr_GeoPot.EQ.3 ) THEN |
397 |
|
C -- Finite Difference Form, with Part-Cell Topo, |
398 |
|
C works with Interface_W at the middle between 2.Tracer_Level |
399 |
|
C and with Tracer_Level at the middle between 2.Interface_W. |
400 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
401 |
C Finite Difference formulation consistent with Partial Cell, |
C Finite Difference formulation consistent with Partial Cell, |
402 |
C Valid & accurate if Interface_W at middle between tracer levels |
C Valid & accurate if Interface_W at middle between tracer levels |
403 |
C linear in p between 2 Tracer levels ; conserve energy in the Interior |
C linear in p between 2 Tracer levels ; conserve energy in the Interior |
404 |
C--------- |
C--------- |
405 |
Kp1 = min(Nr,K+1) |
IF (k.EQ.1) THEN |
406 |
IF (K.EQ.1) THEN |
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
407 |
ratioRm=0.5*drF(K)/(rF(k)-rC(K)) |
& -((rC( k )/atm_Po)**atm_kappa) ) |
408 |
ratioRp=drF(K)*recip_drC(Kp1) |
ELSE |
409 |
ddPIm=atm_Cp*( ((rF( K )/atm_Po)**atm_kappa) |
ddPIm=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) |
410 |
& -((rC( K )/atm_Po)**atm_kappa) ) * 2. _d 0 |
& -((rC( k )/atm_Po)**atm_kappa) )*half |
411 |
ddPIp=atm_Cp*( ((rC( K )/atm_Po)**atm_kappa) |
ENDIF |
412 |
& -((rC(Kp1)/atm_Po)**atm_kappa) ) |
IF (k.EQ.Nr) THEN |
413 |
DO j=jMin,jMax |
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
414 |
DO i=iMin,iMax |
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
415 |
c phiHyd(i,j,K)= phi0surf(i,j,bi,bj)+ |
ELSE |
416 |
phiHyd(i,j,K)= |
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
417 |
& ( ddPIm*max(zero,(_hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
& -((rC(k+1)/atm_Po)**atm_kappa) )*half |
418 |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
ENDIF |
419 |
& *(tFld(i,j, K ,bi,bj)-tRef( K )) |
rec_dRm = one/(rF(k)-rC(k)) |
420 |
& * maskC(i,j, K ,bi,bj) |
rec_dRp = one/(rC(k)-rF(k+1)) |
421 |
ENDDO |
DO j=jMin,jMax |
422 |
ENDDO |
DO i=iMin,iMax |
423 |
ELSE |
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
424 |
ratioRm=drF(K)*recip_drC(K) |
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
425 |
ratioRp=drF(K)*recip_drC(Kp1) |
#ifdef NONLIN_FRSURF |
426 |
ddPIm=atm_Cp*( ((rC(K-1)/atm_Po)**atm_kappa) |
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
427 |
& -((rC( K )/atm_Po)**atm_kappa) ) |
#endif |
428 |
ddPIp=atm_Cp*( ((rC( K )/atm_Po)**atm_kappa) |
phiHydC(i,j) =( MAX(zero,ddRloc)*rec_dRm*ddPIm |
429 |
& -((rC(Kp1)/atm_Po)**atm_kappa) ) |
& +MIN(zero,ddRloc)*rec_dRp*ddPIp ) |
430 |
DO j=jMin,jMax |
& *(tFld(i,j,k,bi,bj)-tRef(k)) |
431 |
DO i=iMin,iMax |
ELSE |
432 |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
phiHydC(i,j) = phiHydF(i,j) |
433 |
& + ddPIm*0.5 |
& +ddPIm*maskC(i,j,k,bi,bj) |
434 |
& *(tFld(i,j,K-1,bi,bj)-tRef(K-1)) |
& *(tFld(I,J,k,bi,bj)-tRef(k)) |
435 |
& * maskC(i,j,K-1,bi,bj) |
ENDIF |
436 |
& +(ddPIm*max(zero,(_hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
phiHydF(i,j) = phiHydC(i,j) |
437 |
& +ddPIp*min(zero, _hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
& +ddPIp*maskC(i,j,k,bi,bj) |
438 |
& *(tFld(i,j, K ,bi,bj)-tRef( K )) |
& *(tFld(I,J,k,bi,bj)-tRef(k)) |
|
& * maskC(i,j, K ,bi,bj) |
|
|
ENDDO |
|
439 |
ENDDO |
ENDDO |
440 |
ENDIF |
ENDDO |
441 |
C end: Finite Difference Form, with hFac, Interface_W = middle -- |
C end: Finite Difference Form, with Part-Cell Topo |
442 |
C----------------------------------------------------------------------- |
C----------------------------------------------------------------------- |
443 |
|
|
444 |
ELSE |
ELSE |
445 |
STOP 'CALC_PHI_HYD: Bad integr_GeoPot option !' |
STOP 'CALC_PHI_HYD: Bad integr_GeoPot option !' |
446 |
ENDIF |
ENDIF |
447 |
|
|
448 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
449 |
ELSE |
ELSE |
450 |
STOP 'CALC_PHI_HYD: Bad value of buoyancyRelation !' |
STOP 'CALC_PHI_HYD: Bad value of buoyancyRelation !' |
451 |
ENDIF |
ENDIF |
452 |
|
|
453 |
|
C--- Diagnose Phi at boundary r=R_low : |
454 |
|
C = Ocean bottom pressure (Ocean, Z-coord.) |
455 |
|
C = Sea-surface height (Ocean, P-coord.) |
456 |
|
C = Top atmosphere height (Atmos, P-coord.) |
457 |
|
IF (useDiagPhiRlow) THEN |
458 |
|
CALL DIAGS_PHI_RLOW( |
459 |
|
I k, bi, bj, iMin,iMax, jMin,jMax, |
460 |
|
I phiHydF, phiHydC, alphaRho, tFld, sFld, |
461 |
|
I myTime, myIter, myThid) |
462 |
|
ENDIF |
463 |
|
|
464 |
|
C--- Diagnose Full Hydrostatic Potential at cell center level |
465 |
|
CALL DIAGS_PHI_HYD( |
466 |
|
I k, bi, bj, iMin,iMax, jMin,jMax, |
467 |
|
I phiHydC, |
468 |
|
I myTime, myIter, myThid) |
469 |
|
|
470 |
IF (momPressureForcing) THEN |
IF (momPressureForcing) THEN |
471 |
iMnLoc = MAX(1-Olx+1,iMin) |
iMnLoc = MAX(1-Olx+1,iMin) |
472 |
jMnLoc = MAX(1-Oly+1,jMin) |
jMnLoc = MAX(1-Oly+1,jMin) |
473 |
CALL CALC_GRAD_PHI_HYD( |
CALL CALC_GRAD_PHI_HYD( |
474 |
I k, bi, bj, iMnLoc,iMax, jMnLoc,jMax, |
I k, bi, bj, iMnLoc,iMax, jMnLoc,jMax, |
475 |
I phiHyd, alphaRho, tFld, sFld, |
I phiHydC, alphaRho, tFld, sFld, |
476 |
O dPhiHydX, dPhiHydY, |
O dPhiHydX, dPhiHydY, |
477 |
I myTime, myIter, myThid) |
I myTime, myIter, myThid) |
478 |
ENDIF |
ENDIF |