1 |
jmc |
1.36 |
C $Header: /u/gcmpack/MITgcm/model/src/calc_phi_hyd.F,v 1.35 2007/02/05 03:20:39 jmc Exp $ |
2 |
cnh |
1.16 |
C $Name: $ |
3 |
cnh |
1.1 |
|
4 |
jmc |
1.32 |
#include "PACKAGES_CONFIG.h" |
5 |
cnh |
1.6 |
#include "CPP_OPTIONS.h" |
6 |
cnh |
1.1 |
|
7 |
cnh |
1.16 |
CBOP |
8 |
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C !ROUTINE: CALC_PHI_HYD |
9 |
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C !INTERFACE: |
10 |
adcroft |
1.9 |
SUBROUTINE CALC_PHI_HYD( |
11 |
jmc |
1.29 |
I bi, bj, iMin, iMax, jMin, jMax, k, |
12 |
mlosch |
1.20 |
I tFld, sFld, |
13 |
jmc |
1.29 |
U phiHydF, |
14 |
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O phiHydC, dPhiHydX, dPhiHydY, |
15 |
jmc |
1.25 |
I myTime, myIter, myThid) |
16 |
cnh |
1.16 |
C !DESCRIPTION: \bv |
17 |
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C *==========================================================* |
18 |
cnh |
1.1 |
C | SUBROUTINE CALC_PHI_HYD | |
19 |
jmc |
1.36 |
C | o Integrate the hydrostatic relation to find the Hydros. | |
20 |
cnh |
1.16 |
C *==========================================================* |
21 |
jmc |
1.29 |
C | Potential (ocean: Pressure/rho ; atmos = geopotential) |
22 |
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C | On entry: |
23 |
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C | tFld,sFld are the current thermodynamics quantities |
24 |
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C | (unchanged on exit) |
25 |
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C | phiHydF(i,j) is the hydrostatic Potential anomaly |
26 |
jmc |
1.36 |
C | at middle between tracer points k-1,k |
27 |
jmc |
1.29 |
C | On exit: |
28 |
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C | phiHydC(i,j) is the hydrostatic Potential anomaly |
29 |
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C | at cell centers (tracer points), level k |
30 |
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C | phiHydF(i,j) is the hydrostatic Potential anomaly |
31 |
jmc |
1.36 |
C | at middle between tracer points k,k+1 |
32 |
jmc |
1.29 |
C | dPhiHydX,Y hydrostatic Potential gradient (X&Y dir) |
33 |
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C | at cell centers (tracer points), level k |
34 |
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C | integr_GeoPot allows to select one integration method |
35 |
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C | 1= Finite volume form ; else= Finite difference form |
36 |
cnh |
1.16 |
C *==========================================================* |
37 |
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C \ev |
38 |
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C !USES: |
39 |
cnh |
1.1 |
IMPLICIT NONE |
40 |
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C == Global variables == |
41 |
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#include "SIZE.h" |
42 |
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#include "GRID.h" |
43 |
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#include "EEPARAMS.h" |
44 |
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#include "PARAMS.h" |
45 |
heimbach |
1.13 |
#ifdef ALLOW_AUTODIFF_TAMC |
46 |
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#include "tamc.h" |
47 |
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#include "tamc_keys.h" |
48 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
49 |
adcroft |
1.19 |
#include "SURFACE.h" |
50 |
mlosch |
1.20 |
#include "DYNVARS.h" |
51 |
heimbach |
1.13 |
|
52 |
cnh |
1.16 |
C !INPUT/OUTPUT PARAMETERS: |
53 |
cnh |
1.1 |
C == Routine arguments == |
54 |
jmc |
1.36 |
C bi, bj, k :: tile and level indices |
55 |
jmc |
1.29 |
C iMin,iMax,jMin,jMax :: computational domain |
56 |
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C tFld :: potential temperature |
57 |
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C sFld :: salinity |
58 |
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C phiHydF :: hydrostatic potential anomaly at middle between |
59 |
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C 2 centers (entry: Interf_k ; output: Interf_k+1) |
60 |
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C phiHydC :: hydrostatic potential anomaly at cell center |
61 |
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C dPhiHydX,Y :: gradient (X & Y dir.) of hydrostatic potential anom. |
62 |
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C myTime :: current time |
63 |
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C myIter :: current iteration number |
64 |
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C myThid :: thread number for this instance of the routine. |
65 |
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INTEGER bi,bj,iMin,iMax,jMin,jMax,k |
66 |
mlosch |
1.20 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
67 |
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_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
68 |
jmc |
1.29 |
c _RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
69 |
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_RL phiHydF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
70 |
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_RL phiHydC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
71 |
jmc |
1.25 |
_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
72 |
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_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
73 |
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_RL myTime |
74 |
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INTEGER myIter, myThid |
75 |
jmc |
1.36 |
|
76 |
adcroft |
1.9 |
#ifdef INCLUDE_PHIHYD_CALCULATION_CODE |
77 |
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78 |
cnh |
1.16 |
C !LOCAL VARIABLES: |
79 |
cnh |
1.1 |
C == Local variables == |
80 |
jmc |
1.29 |
INTEGER i,j |
81 |
jmc |
1.14 |
_RL zero, one, half |
82 |
adcroft |
1.9 |
_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
83 |
jmc |
1.29 |
_RL dRlocM,dRlocP, ddRloc, locAlpha |
84 |
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_RL ddPIm, ddPIp, rec_dRm, rec_dRp |
85 |
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_RL surfPhiFac |
86 |
jmc |
1.25 |
PARAMETER ( zero= 0. _d 0 , one= 1. _d 0 , half= .5 _d 0 ) |
87 |
jmc |
1.29 |
LOGICAL useDiagPhiRlow, addSurfPhiAnom |
88 |
cnh |
1.16 |
CEOP |
89 |
jmc |
1.27 |
useDiagPhiRlow = .TRUE. |
90 |
jmc |
1.29 |
addSurfPhiAnom = select_rStar.EQ.0 .AND. nonlinFreeSurf.GT.3 |
91 |
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surfPhiFac = 0. |
92 |
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IF (addSurfPhiAnom) surfPhiFac = 1. |
93 |
jmc |
1.14 |
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94 |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
95 |
jmc |
1.36 |
C Atmosphere: |
96 |
jmc |
1.24 |
C integr_GeoPot => select one option for the integration of the Geopotential: |
97 |
jmc |
1.29 |
C = 0 : Energy Conserving Form, accurate with Topo full cell; |
98 |
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C = 1 : Finite Volume Form, with Part-Cell, linear in P by Half level; |
99 |
jmc |
1.36 |
C =2,3: Finite Difference Form, with Part-Cell, |
100 |
jmc |
1.29 |
C linear in P between 2 Tracer levels. |
101 |
jmc |
1.36 |
C can handle both cases: Tracer lev at the middle of InterFace_W |
102 |
jmc |
1.29 |
C and InterFace_W at the middle of Tracer lev; |
103 |
jmc |
1.14 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
104 |
adcroft |
1.9 |
|
105 |
heimbach |
1.13 |
#ifdef ALLOW_AUTODIFF_TAMC |
106 |
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act1 = bi - myBxLo(myThid) |
107 |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
108 |
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109 |
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act2 = bj - myByLo(myThid) |
110 |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
111 |
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112 |
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act3 = myThid - 1 |
113 |
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max3 = nTx*nTy |
114 |
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115 |
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act4 = ikey_dynamics - 1 |
116 |
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117 |
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ikey = (act1 + 1) + act2*max1 |
118 |
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& + act3*max1*max2 |
119 |
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& + act4*max1*max2*max3 |
120 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
121 |
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|
122 |
jmc |
1.36 |
C-- Initialize phiHydF to zero : |
123 |
jmc |
1.29 |
C note: atmospheric_loading or Phi_topo anomaly are incorporated |
124 |
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C later in S/R calc_grad_phi_hyd |
125 |
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IF (k.EQ.1) THEN |
126 |
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DO j=1-Oly,sNy+Oly |
127 |
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DO i=1-Olx,sNx+Olx |
128 |
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phiHydF(i,j) = 0. |
129 |
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ENDDO |
130 |
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ENDDO |
131 |
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ENDIF |
132 |
jmc |
1.25 |
|
133 |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
134 |
jmc |
1.29 |
IF ( buoyancyRelation .EQ. 'OCEANIC' ) THEN |
135 |
adcroft |
1.9 |
C This is the hydrostatic pressure calculation for the Ocean |
136 |
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C which uses the FIND_RHO() routine to calculate density |
137 |
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C before integrating g*rho over the current layer/interface |
138 |
jmc |
1.25 |
#ifdef ALLOW_AUTODIFF_TAMC |
139 |
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CADJ GENERAL |
140 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
141 |
adcroft |
1.9 |
|
142 |
jmc |
1.29 |
C--- Calculate density |
143 |
heimbach |
1.13 |
#ifdef ALLOW_AUTODIFF_TAMC |
144 |
heimbach |
1.23 |
kkey = (ikey-1)*Nr + k |
145 |
|
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CADJ STORE tFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
146 |
mlosch |
1.20 |
CADJ STORE sFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
147 |
heimbach |
1.13 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
148 |
jmc |
1.36 |
CALL FIND_RHO_2D( |
149 |
|
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I iMin, iMax, jMin, jMax, k, |
150 |
|
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I tFld(1-OLx,1-OLy,k,bi,bj), sFld(1-OLx,1-OLy,k,bi,bj), |
151 |
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O alphaRho, |
152 |
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I k, bi, bj, myThid ) |
153 |
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154 |
mlosch |
1.33 |
#ifdef ALLOW_SHELFICE |
155 |
jmc |
1.36 |
C mask rho, so that there is no contribution of phiHyd from |
156 |
mlosch |
1.33 |
C overlying shelfice (whose density we do not know) |
157 |
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IF ( useShelfIce ) THEN |
158 |
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DO j=jMin,jMax |
159 |
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DO i=iMin,iMax |
160 |
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alphaRho(i,j) = alphaRho(i,j)*maskC(i,j,k,bi,bj) |
161 |
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ENDDO |
162 |
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ENDDO |
163 |
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ENDIF |
164 |
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#endif /* ALLOW_SHELFICE */ |
165 |
adcroft |
1.22 |
|
166 |
jmc |
1.31 |
#ifdef ALLOW_DIAGNOSTICS |
167 |
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IF ( useDiagnostics ) |
168 |
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& CALL DIAGNOSTICS_FILL(alphaRho,'RHOAnoma',k,1,2,bi,bj,myThid) |
169 |
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#endif |
170 |
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171 |
jmc |
1.34 |
#ifdef ALLOW_MOM_COMMON |
172 |
adcroft |
1.22 |
C Quasi-hydrostatic terms are added in as if they modify the buoyancy |
173 |
|
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IF (quasiHydrostatic) THEN |
174 |
jmc |
1.34 |
CALL MOM_QUASIHYDROSTATIC(bi,bj,k,uVel,vVel,alphaRho,myThid) |
175 |
adcroft |
1.22 |
ENDIF |
176 |
jmc |
1.34 |
#endif /* ALLOW_MOM_COMMON */ |
177 |
adcroft |
1.9 |
|
178 |
jmc |
1.29 |
#ifdef NONLIN_FRSURF |
179 |
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IF (k.EQ.1 .AND. addSurfPhiAnom) THEN |
180 |
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DO j=jMin,jMax |
181 |
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DO i=iMin,iMax |
182 |
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phiHydF(i,j) = surfPhiFac*etaH(i,j,bi,bj) |
183 |
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& *gravity*alphaRho(i,j)*recip_rhoConst |
184 |
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ENDDO |
185 |
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ENDDO |
186 |
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ENDIF |
187 |
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#endif /* NONLIN_FRSURF */ |
188 |
jmc |
1.27 |
|
189 |
jmc |
1.29 |
C---- Hydrostatic pressure at cell centers |
190 |
jmc |
1.25 |
|
191 |
|
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IF (integr_GeoPot.EQ.1) THEN |
192 |
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C -- Finite Volume Form |
193 |
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194 |
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DO j=jMin,jMax |
195 |
adcroft |
1.9 |
DO i=iMin,iMax |
196 |
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|
197 |
jmc |
1.25 |
C---------- This discretization is the "finite volume" form |
198 |
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C which has not been used to date since it does not |
199 |
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C conserve KE+PE exactly even though it is more natural |
200 |
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C |
201 |
jmc |
1.29 |
phiHydC(i,j)=phiHydF(i,j) |
202 |
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& + half*drF(k)*gravity*alphaRho(i,j)*recip_rhoConst |
203 |
|
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phiHydF(i,j)=phiHydF(i,j) |
204 |
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& + drF(k)*gravity*alphaRho(i,j)*recip_rhoConst |
205 |
jmc |
1.25 |
ENDDO |
206 |
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ENDDO |
207 |
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208 |
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ELSE |
209 |
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C -- Finite Difference Form |
210 |
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211 |
jmc |
1.29 |
dRlocM=half*drC(k) |
212 |
|
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IF (k.EQ.1) dRlocM=rF(k)-rC(k) |
213 |
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IF (k.EQ.Nr) THEN |
214 |
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dRlocP=rC(k)-rF(k+1) |
215 |
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ELSE |
216 |
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dRlocP=half*drC(k+1) |
217 |
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ENDIF |
218 |
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219 |
jmc |
1.25 |
DO j=jMin,jMax |
220 |
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DO i=iMin,iMax |
221 |
adcroft |
1.9 |
|
222 |
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C---------- This discretization is the "energy conserving" form |
223 |
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C which has been used since at least Adcroft et al., MWR 1997 |
224 |
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C |
225 |
jmc |
1.29 |
phiHydC(i,j)=phiHydF(i,j) |
226 |
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& +dRlocM*gravity*alphaRho(i,j)*recip_rhoConst |
227 |
|
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phiHydF(i,j)=phiHydC(i,j) |
228 |
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& +dRlocP*gravity*alphaRho(i,j)*recip_rhoConst |
229 |
adcroft |
1.9 |
ENDDO |
230 |
jmc |
1.25 |
ENDDO |
231 |
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232 |
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C -- end if integr_GeoPot = ... |
233 |
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ENDIF |
234 |
jmc |
1.36 |
|
235 |
jmc |
1.25 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
236 |
jmc |
1.29 |
ELSEIF ( buoyancyRelation .EQ. 'OCEANICP' ) THEN |
237 |
adcroft |
1.19 |
C This is the hydrostatic pressure calculation for the Ocean |
238 |
|
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C which uses the FIND_RHO() routine to calculate density |
239 |
jmc |
1.25 |
C before integrating (1/rho)'*dp over the current layer/interface |
240 |
mlosch |
1.21 |
#ifdef ALLOW_AUTODIFF_TAMC |
241 |
|
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CADJ GENERAL |
242 |
|
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#endif /* ALLOW_AUTODIFF_TAMC */ |
243 |
adcroft |
1.19 |
|
244 |
jmc |
1.27 |
C-- Calculate density |
245 |
adcroft |
1.19 |
#ifdef ALLOW_AUTODIFF_TAMC |
246 |
|
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kkey = (ikey-1)*Nr + k |
247 |
heimbach |
1.23 |
CADJ STORE tFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
248 |
mlosch |
1.20 |
CADJ STORE sFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
249 |
adcroft |
1.19 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
250 |
jmc |
1.36 |
CALL FIND_RHO_2D( |
251 |
|
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I iMin, iMax, jMin, jMax, k, |
252 |
|
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I tFld(1-OLx,1-OLy,k,bi,bj), sFld(1-OLx,1-OLy,k,bi,bj), |
253 |
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O alphaRho, |
254 |
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I k, bi, bj, myThid ) |
255 |
heimbach |
1.23 |
#ifdef ALLOW_AUTODIFF_TAMC |
256 |
|
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CADJ STORE alphaRho (:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
257 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
258 |
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|
259 |
jmc |
1.31 |
#ifdef ALLOW_DIAGNOSTICS |
260 |
|
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IF ( useDiagnostics ) |
261 |
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& CALL DIAGNOSTICS_FILL(alphaRho,'RHOAnoma',k,1,2,bi,bj,myThid) |
262 |
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#endif |
263 |
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|
264 |
jmc |
1.27 |
C-- Calculate specific volume anomaly : alpha' = 1/rho - alpha_Cst |
265 |
|
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DO j=jMin,jMax |
266 |
|
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DO i=iMin,iMax |
267 |
|
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locAlpha=alphaRho(i,j)+rhoConst |
268 |
|
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alphaRho(i,j)=maskC(i,j,k,bi,bj)* |
269 |
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& (one/locAlpha - recip_rhoConst) |
270 |
|
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ENDDO |
271 |
|
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ENDDO |
272 |
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|
273 |
jmc |
1.25 |
C---- Hydrostatic pressure at cell centers |
274 |
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|
275 |
|
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IF (integr_GeoPot.EQ.1) THEN |
276 |
|
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C -- Finite Volume Form |
277 |
|
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|
278 |
|
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DO j=jMin,jMax |
279 |
adcroft |
1.19 |
DO i=iMin,iMax |
280 |
jmc |
1.25 |
|
281 |
|
|
C---------- This discretization is the "finite volume" form |
282 |
|
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C which has not been used to date since it does not |
283 |
|
|
C conserve KE+PE exactly even though it is more natural |
284 |
|
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C |
285 |
jmc |
1.29 |
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
286 |
|
|
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
287 |
|
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#ifdef NONLIN_FRSURF |
288 |
|
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ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
289 |
|
|
#endif |
290 |
|
|
phiHydC(i,j) = ddRloc*alphaRho(i,j) |
291 |
jmc |
1.36 |
c--to reproduce results of c48d_post: uncomment those 4+1 lines |
292 |
jmc |
1.29 |
c phiHydC(i,j)=phiHydF(i,j) |
293 |
|
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c & +(hFacC(i,j,k,bi,bj)-half)*drF(k)*alphaRho(i,j) |
294 |
|
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c phiHydF(i,j)=phiHydF(i,j) |
295 |
|
|
c & + hFacC(i,j,k,bi,bj)*drF(k)*alphaRho(i,j) |
296 |
|
|
ELSE |
297 |
|
|
phiHydC(i,j) = phiHydF(i,j) + half*drF(k)*alphaRho(i,j) |
298 |
|
|
c phiHydF(i,j) = phiHydF(i,j) + drF(k)*alphaRho(i,j) |
299 |
|
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ENDIF |
300 |
|
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c-- and comment this last one: |
301 |
|
|
phiHydF(i,j) = phiHydC(i,j) + half*drF(k)*alphaRho(i,j) |
302 |
|
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c----- |
303 |
jmc |
1.25 |
ENDDO |
304 |
|
|
ENDDO |
305 |
|
|
|
306 |
|
|
ELSE |
307 |
jmc |
1.29 |
C -- Finite Difference Form, with Part-Cell Bathy |
308 |
|
|
|
309 |
|
|
dRlocM=half*drC(k) |
310 |
|
|
IF (k.EQ.1) dRlocM=rF(k)-rC(k) |
311 |
|
|
IF (k.EQ.Nr) THEN |
312 |
|
|
dRlocP=rC(k)-rF(k+1) |
313 |
|
|
ELSE |
314 |
|
|
dRlocP=half*drC(k+1) |
315 |
|
|
ENDIF |
316 |
|
|
rec_dRm = one/(rF(k)-rC(k)) |
317 |
|
|
rec_dRp = one/(rC(k)-rF(k+1)) |
318 |
jmc |
1.25 |
|
319 |
|
|
DO j=jMin,jMax |
320 |
|
|
DO i=iMin,iMax |
321 |
adcroft |
1.9 |
|
322 |
adcroft |
1.19 |
C---------- This discretization is the "energy conserving" form |
323 |
mlosch |
1.21 |
|
324 |
jmc |
1.29 |
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
325 |
|
|
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
326 |
|
|
#ifdef NONLIN_FRSURF |
327 |
|
|
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
328 |
|
|
#endif |
329 |
|
|
phiHydC(i,j) =( MAX(zero,ddRloc)*rec_dRm*dRlocM |
330 |
|
|
& +MIN(zero,ddRloc)*rec_dRp*dRlocP |
331 |
|
|
& )*alphaRho(i,j) |
332 |
|
|
ELSE |
333 |
|
|
phiHydC(i,j) = phiHydF(i,j) + dRlocM*alphaRho(i,j) |
334 |
|
|
ENDIF |
335 |
|
|
phiHydF(i,j) = phiHydC(i,j) + dRlocP*alphaRho(i,j) |
336 |
adcroft |
1.19 |
ENDDO |
337 |
jmc |
1.25 |
ENDDO |
338 |
|
|
|
339 |
|
|
C -- end if integr_GeoPot = ... |
340 |
|
|
ENDIF |
341 |
adcroft |
1.9 |
|
342 |
jmc |
1.29 |
ELSEIF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN |
343 |
jmc |
1.14 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
344 |
adcroft |
1.9 |
C This is the hydrostatic geopotential calculation for the Atmosphere |
345 |
|
|
C The ideal gas law is used implicitly here rather than calculating |
346 |
|
|
C the specific volume, analogous to the oceanic case. |
347 |
|
|
|
348 |
jmc |
1.30 |
C-- virtual potential temperature anomaly (including water vapour effect) |
349 |
|
|
DO j=jMin,jMax |
350 |
|
|
DO i=iMin,iMax |
351 |
|
|
alphaRho(i,j)=maskC(i,j,k,bi,bj) |
352 |
jmc |
1.36 |
& *( tFld(i,j,k,bi,bj)*(sFld(i,j,k,bi,bj)*atm_Rq+one) |
353 |
jmc |
1.30 |
& -tRef(k) ) |
354 |
|
|
ENDDO |
355 |
|
|
ENDDO |
356 |
|
|
|
357 |
jmc |
1.29 |
C--- Integrate d Phi / d pi |
358 |
adcroft |
1.9 |
|
359 |
jmc |
1.29 |
IF (integr_GeoPot.EQ.0) THEN |
360 |
|
|
C -- Energy Conserving Form, accurate with Full cell topo -- |
361 |
jmc |
1.14 |
C------------ The integration for the first level phi(k=1) is the same |
362 |
|
|
C for both the "finite volume" and energy conserving methods. |
363 |
jmc |
1.36 |
C *NOTE* o Working with geopotential Anomaly, the geopotential boundary |
364 |
adcroft |
1.17 |
C condition is simply Phi-prime(Ro_surf)=0. |
365 |
jmc |
1.14 |
C o convention ddPI > 0 (same as drF & drC) |
366 |
|
|
C----------------------------------------------------------------------- |
367 |
jmc |
1.29 |
IF (k.EQ.1) THEN |
368 |
|
|
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
369 |
|
|
& -((rC( k )/atm_Po)**atm_kappa) ) |
370 |
|
|
ELSE |
371 |
|
|
ddPIm=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) |
372 |
|
|
& -((rC( k )/atm_Po)**atm_kappa) )*half |
373 |
|
|
ENDIF |
374 |
|
|
IF (k.EQ.Nr) THEN |
375 |
|
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
376 |
|
|
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
377 |
|
|
ELSE |
378 |
|
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
379 |
jmc |
1.36 |
& -((rC(k+1)/atm_Po)**atm_kappa) )*half |
380 |
jmc |
1.29 |
ENDIF |
381 |
jmc |
1.14 |
C-------- This discretization is the energy conserving form |
382 |
jmc |
1.29 |
DO j=jMin,jMax |
383 |
|
|
DO i=iMin,iMax |
384 |
jmc |
1.30 |
phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) |
385 |
|
|
phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) |
386 |
jmc |
1.14 |
ENDDO |
387 |
jmc |
1.29 |
ENDDO |
388 |
jmc |
1.14 |
C end: Energy Conserving Form, No hFac -- |
389 |
adcroft |
1.9 |
C----------------------------------------------------------------------- |
390 |
jmc |
1.14 |
|
391 |
jmc |
1.29 |
ELSEIF (integr_GeoPot.EQ.1) THEN |
392 |
|
|
C -- Finite Volume Form, with Part-Cell Topo, linear in P by Half level |
393 |
jmc |
1.14 |
C--------- |
394 |
|
|
C Finite Volume formulation consistent with Partial Cell, linear in p by piece |
395 |
|
|
C Note: a true Finite Volume form should be linear between 2 Interf_W : |
396 |
|
|
C phi_C = (phi_W_k+ phi_W_k+1)/2 ; but not accurate in Stratosphere (low p) |
397 |
|
|
C also: if Interface_W at the middle between tracer levels, this form |
398 |
jmc |
1.36 |
C is close to the Energy Cons. form in the Interior, except for the |
399 |
jmc |
1.14 |
C non-linearity in PI(p) |
400 |
|
|
C--------- |
401 |
jmc |
1.29 |
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
402 |
|
|
& -((rC( k )/atm_Po)**atm_kappa) ) |
403 |
|
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
404 |
|
|
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
405 |
|
|
DO j=jMin,jMax |
406 |
|
|
DO i=iMin,iMax |
407 |
|
|
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
408 |
|
|
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
409 |
|
|
#ifdef NONLIN_FRSURF |
410 |
|
|
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
411 |
|
|
#endif |
412 |
|
|
phiHydC(i,j) = ddRloc*recip_drF(k)*2. _d 0 |
413 |
jmc |
1.30 |
& *ddPIm*alphaRho(i,j) |
414 |
jmc |
1.29 |
ELSE |
415 |
jmc |
1.30 |
phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) |
416 |
jmc |
1.29 |
ENDIF |
417 |
jmc |
1.30 |
phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) |
418 |
adcroft |
1.9 |
ENDDO |
419 |
jmc |
1.29 |
ENDDO |
420 |
|
|
C end: Finite Volume Form, with Part-Cell Topo, linear in P by Half level |
421 |
adcroft |
1.9 |
C----------------------------------------------------------------------- |
422 |
|
|
|
423 |
jmc |
1.29 |
ELSEIF ( integr_GeoPot.EQ.2 |
424 |
|
|
& .OR. integr_GeoPot.EQ.3 ) THEN |
425 |
jmc |
1.36 |
C -- Finite Difference Form, with Part-Cell Topo, |
426 |
jmc |
1.29 |
C works with Interface_W at the middle between 2.Tracer_Level |
427 |
|
|
C and with Tracer_Level at the middle between 2.Interface_W. |
428 |
jmc |
1.14 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
429 |
|
|
C Finite Difference formulation consistent with Partial Cell, |
430 |
|
|
C Valid & accurate if Interface_W at middle between tracer levels |
431 |
jmc |
1.36 |
C linear in p between 2 Tracer levels ; conserve energy in the Interior |
432 |
jmc |
1.14 |
C--------- |
433 |
jmc |
1.29 |
IF (k.EQ.1) THEN |
434 |
|
|
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
435 |
|
|
& -((rC( k )/atm_Po)**atm_kappa) ) |
436 |
|
|
ELSE |
437 |
|
|
ddPIm=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) |
438 |
|
|
& -((rC( k )/atm_Po)**atm_kappa) )*half |
439 |
|
|
ENDIF |
440 |
|
|
IF (k.EQ.Nr) THEN |
441 |
|
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
442 |
|
|
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
443 |
|
|
ELSE |
444 |
|
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
445 |
jmc |
1.36 |
& -((rC(k+1)/atm_Po)**atm_kappa) )*half |
446 |
jmc |
1.29 |
ENDIF |
447 |
|
|
rec_dRm = one/(rF(k)-rC(k)) |
448 |
|
|
rec_dRp = one/(rC(k)-rF(k+1)) |
449 |
|
|
DO j=jMin,jMax |
450 |
|
|
DO i=iMin,iMax |
451 |
|
|
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
452 |
|
|
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
453 |
|
|
#ifdef NONLIN_FRSURF |
454 |
|
|
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
455 |
|
|
#endif |
456 |
|
|
phiHydC(i,j) =( MAX(zero,ddRloc)*rec_dRm*ddPIm |
457 |
|
|
& +MIN(zero,ddRloc)*rec_dRp*ddPIp ) |
458 |
jmc |
1.30 |
& *alphaRho(i,j) |
459 |
jmc |
1.29 |
ELSE |
460 |
jmc |
1.30 |
phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) |
461 |
jmc |
1.29 |
ENDIF |
462 |
jmc |
1.30 |
phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) |
463 |
jmc |
1.14 |
ENDDO |
464 |
jmc |
1.29 |
ENDDO |
465 |
|
|
C end: Finite Difference Form, with Part-Cell Topo |
466 |
jmc |
1.14 |
C----------------------------------------------------------------------- |
467 |
cnh |
1.1 |
|
468 |
jmc |
1.29 |
ELSE |
469 |
|
|
STOP 'CALC_PHI_HYD: Bad integr_GeoPot option !' |
470 |
|
|
ENDIF |
471 |
cnh |
1.6 |
|
472 |
jmc |
1.14 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
473 |
adcroft |
1.9 |
ELSE |
474 |
jmc |
1.24 |
STOP 'CALC_PHI_HYD: Bad value of buoyancyRelation !' |
475 |
jmc |
1.25 |
ENDIF |
476 |
|
|
|
477 |
jmc |
1.29 |
C--- Diagnose Phi at boundary r=R_low : |
478 |
|
|
C = Ocean bottom pressure (Ocean, Z-coord.) |
479 |
|
|
C = Sea-surface height (Ocean, P-coord.) |
480 |
|
|
C = Top atmosphere height (Atmos, P-coord.) |
481 |
|
|
IF (useDiagPhiRlow) THEN |
482 |
|
|
CALL DIAGS_PHI_RLOW( |
483 |
|
|
I k, bi, bj, iMin,iMax, jMin,jMax, |
484 |
|
|
I phiHydF, phiHydC, alphaRho, tFld, sFld, |
485 |
jmc |
1.36 |
I myTime, myIter, myThid) |
486 |
jmc |
1.29 |
ENDIF |
487 |
|
|
|
488 |
|
|
C--- Diagnose Full Hydrostatic Potential at cell center level |
489 |
|
|
CALL DIAGS_PHI_HYD( |
490 |
|
|
I k, bi, bj, iMin,iMax, jMin,jMax, |
491 |
|
|
I phiHydC, |
492 |
|
|
I myTime, myIter, myThid) |
493 |
|
|
|
494 |
jmc |
1.36 |
IF (momPressureForcing) THEN |
495 |
jmc |
1.25 |
CALL CALC_GRAD_PHI_HYD( |
496 |
jmc |
1.35 |
I k, bi, bj, iMin,iMax, jMin,jMax, |
497 |
jmc |
1.29 |
I phiHydC, alphaRho, tFld, sFld, |
498 |
jmc |
1.25 |
O dPhiHydX, dPhiHydY, |
499 |
jmc |
1.36 |
I myTime, myIter, myThid) |
500 |
cnh |
1.5 |
ENDIF |
501 |
cnh |
1.1 |
|
502 |
jmc |
1.14 |
#endif /* INCLUDE_PHIHYD_CALCULATION_CODE */ |
503 |
cnh |
1.6 |
|
504 |
jmc |
1.11 |
RETURN |
505 |
|
|
END |