/[MITgcm]/MITgcm/model/src/calc_grad_phi_hyd.F
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Contents of /MITgcm/model/src/calc_grad_phi_hyd.F

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Revision 1.5 - (show annotations) (download)
Fri Aug 1 04:03:54 2003 UTC (20 years, 10 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint51e_post
Changes since 1.4: +62 -9 lines
* atmospheric p*: geopotential anomaly scaled by (p/p_0)^kappa instead of (p/p_0)
* add a curious option (select_rStar=1,nonlinFreeSurf=4) to test p*
* specific volume (used to compute geopotential) includes water vapor effect

1 C $Header: /u/gcmpack/MITgcm/model/src/calc_grad_phi_hyd.F,v 1.4 2003/02/26 03:16:54 jmc Exp $
2 C $Name: $
3
4 #include "CPP_OPTIONS.h"
5
6 CBOP
7 C !ROUTINE: CALC_GRAD_PHI_HYD
8 C !INTERFACE:
9 SUBROUTINE CALC_GRAD_PHI_HYD(
10 I k, bi, bj, iMin,iMax, jMin,jMax,
11 I phiHydC, alphRho, tFld, sFld,
12 O dPhiHydX, dPhiHydY,
13 I myTime, myIter, myThid)
14 C !DESCRIPTION: \bv
15 C *==========================================================*
16 C | S/R CALC_GRAD_PHI_HYD
17 C | o Calculate the gradient of Hydrostatic potential anomaly
18 C *==========================================================*
19 C \ev
20
21 C !USES:
22 IMPLICIT NONE
23 C == Global variables ==
24 #include "SIZE.h"
25 #include "EEPARAMS.h"
26 #include "PARAMS.h"
27 #include "GRID.h"
28 #include "SURFACE.h"
29 #include "DYNVARS.h"
30
31 C !INPUT/OUTPUT PARAMETERS:
32 C == Routine Arguments ==
33 C bi,bj :: tile index
34 C iMin,iMax,jMin,jMax :: Loop counters
35 C phiHydC :: Hydrostatic Potential anomaly
36 C (atmos: =Geopotential ; ocean-z: =Pressure/rho)
37 C alphRho :: Density (z-coord) or specific volume (p-coord)
38 C tFld :: Potential temp.
39 C sFld :: Salinity
40 C dPhiHydX,Y :: Gradient (X & Y directions) of Hyd. Potential
41 C myTime :: Current time
42 C myIter :: Current iteration number
43 C myThid :: Instance number for this call of the routine.
44 INTEGER k, bi,bj, iMin,iMax, jMin,jMax
45 c _RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
46 _RL phiHydC(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
47 _RL alphRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
48 _RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
49 _RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
50 _RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
51 _RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
52 _RL myTime
53 INTEGER myIter, myThid
54
55 #ifdef INCLUDE_PHIHYD_CALCULATION_CODE
56
57 C !LOCAL VARIABLES:
58 C == Local variables ==
59 C i,j :: Loop counters
60 INTEGER i,j
61 _RL varLoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
62 _RL factorZ, factorP, conv_theta2T
63 _RL factPI
64 CHARACTER*(MAX_LEN_MBUF) msgBuf
65 CEOP
66
67 #ifdef NONLIN_FRSURF
68 IF (select_rStar.GE.2 .AND. nonlinFreeSurf.GE.4 ) THEN
69 C- Integral of b.dr = rStarFac * Integral of b.dr* :
70 C and will add later (select_rStar=2) the contribution of
71 C the slope of the r* coordinate.
72 IF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN
73 C- Consistent with Phi'= Integr[ theta'.dPi ] :
74 DO j=jMin-1,jMax
75 DO i=iMin-1,iMax
76 varLoc(i,j) = phiHydC(i,j)*rStarFacC(i,j,bi,bj)**atm_kappa
77 & + phi0surf(i,j,bi,bj)
78 ENDDO
79 ENDDO
80 ELSE
81 DO j=jMin-1,jMax
82 DO i=iMin-1,iMax
83 varLoc(i,j) = phiHydC(i,j)*rStarFacC(i,j,bi,bj)
84 & + phi0surf(i,j,bi,bj)
85 ENDDO
86 ENDDO
87 ENDIF
88 ELSEIF (select_rStar.GE.1 .AND. nonlinFreeSurf.GE.4 ) THEN
89 C- Integral of b.dr but scaled to correspond to a fixed r-level (=r*)
90 C no contribution of the slope of the r* coordinate (select_rStar=1)
91 IF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN
92 C- Consistent with Phi'= Integr[ theta'.dPi ] :
93 DO j=jMin-1,jMax
94 DO i=iMin-1,iMax
95 IF (Ro_surf(i,j,bi,bj).EQ.rC(k)) THEN
96 factPI=atm_Cp*( ((etaH(i,j,bi,bj)+rC(k))/atm_Po)**atm_kappa
97 & -( rC(k) /atm_Po)**atm_kappa
98 & )
99 varLoc(i,j) = factPI*alphRho(i,j)
100 ELSEIF (Ro_surf(i,j,bi,bj).NE.0. _d 0) THEN
101 factPI = (rC(k)/Ro_surf(i,j,bi,bj))**atm_kappa
102 varLoc(i,j) = phiHydC(i,j)
103 & *(rStarFacC(i,j,bi,bj)**atm_kappa - factPI)
104 & /(1. _d 0 -factPI)
105 & + phi0surf(i,j,bi,bj)
106 ENDIF
107 ENDDO
108 ENDDO
109 ELSE
110 DO j=jMin-1,jMax
111 DO i=iMin-1,iMax
112 IF (Ro_surf(i,j,bi,bj).EQ.rC(k)) THEN
113 WRITE(msgBuf,'(2A)') 'CALC_GRAD_PHI_HYD: ',
114 & 'Problem when Ro_surf=rC with select_rStar,integr_GeoPot=1,4'
115 CALL PRINT_ERROR( msgBuf , myThid)
116 STOP 'CALC_GRAD_PHI_HYD: Pb in r* options implementation'
117 ELSE
118 varLoc(i,j) = phiHydC(i,j)
119 & *(etaH(i,j,bi,bj)+Ro_surf(i,j,bi,bj)-rC(k))
120 & / (Ro_surf(i,j,bi,bj)-rC(k))
121 & + phi0surf(i,j,bi,bj)
122 ENDIF
123 ENDDO
124 ENDDO
125 ENDIF
126 ELSE
127 #else /* NONLIN_FRSURF */
128 IF (.TRUE.) THEN
129 #endif /* NONLIN_FRSURF */
130 DO j=jMin-1,jMax
131 DO i=iMin-1,iMax
132 varLoc(i,j) = phiHydC(i,j)+phi0surf(i,j,bi,bj)
133 ENDDO
134 ENDDO
135 ENDIF
136
137 C-- Zonal & Meridional gradient of potential anomaly
138 DO j=jMin,jMax
139 DO i=iMin,iMax
140 dPhiHydX(i,j) = _recip_dxC(i,j,bi,bj)
141 & *( varLoc(i,j)-varLoc(i-1,j) )
142 dPhiHydY(i,j) = _recip_dyC(i,j,bi,bj)
143 & *( varLoc(i,j)-varLoc(i,j-1) )
144 ENDDO
145 ENDDO
146
147 #ifdef NONLIN_FRSURF
148 IF (select_rStar.GE.2 .AND. nonlinFreeSurf.GE.1 ) THEN
149 IF ( buoyancyRelation .EQ. 'OCEANIC' ) THEN
150 C-- z* coordinate slope term: rho'/rho0 * Grad_r(g.z)
151 factorZ = gravity*recip_rhoConst*0.5 _d 0
152 DO j=jMin-1,jMax
153 DO i=iMin-1,iMax
154 varLoc(i,j) = etaH(i,j,bi,bj)
155 & *(1. _d 0 + rC(k)*recip_Rcol(i,j,bi,bj))
156 ENDDO
157 ENDDO
158 DO j=jMin,jMax
159 DO i=iMin,iMax
160 dPhiHydX(i,j) = dPhiHydX(i,j)
161 & +factorZ*(alphRho(i-1,j)+alphRho(i,j))
162 & *(varLoc(i,j)-varLoc(i-1,j))
163 & *recip_dxC(i,j,bi,bj)
164 dPhiHydY(i,j) = dPhiHydY(i,j)
165 & +factorZ*(alphRho(i,j-1)+alphRho(i,j))
166 & *(varLoc(i,j)-varLoc(i,j-1))
167 & *recip_dyC(i,j,bi,bj)
168 ENDDO
169 ENDDO
170 ELSEIF (buoyancyRelation .EQ. 'OCEANICP' ) THEN
171 C-- p* coordinate slope term: alpha' * Grad_r( p )
172 factorP = 0.5 _d 0
173 DO j=jMin,jMax
174 DO i=iMin,iMax
175 dPhiHydX(i,j) = dPhiHydX(i,j)
176 & +factorP*(alphRho(i-1,j)+alphRho(i,j))
177 & *(rStarFacC(i,j,bi,bj)-rStarFacC(i-1,j,bi,bj))
178 & *rC(k)*recip_dxC(i,j,bi,bj)
179 dPhiHydY(i,j) = dPhiHydY(i,j)
180 & +factorP*(alphRho(i,j-1)+alphRho(i,j))
181 & *(rStarFacC(i,j,bi,bj)-rStarFacC(i,j-1,bi,bj))
182 & *rC(k)*recip_dyC(i,j,bi,bj)
183 ENDDO
184 ENDDO
185 ELSEIF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN
186 C-- p* coordinate slope term: alpha' * Grad_r( p )
187 conv_theta2T = (rC(k)/atm_Po)**atm_kappa
188 factorP = (atm_Rd/rC(k))*conv_theta2T*0.5 _d 0
189 DO j=jMin,jMax
190 DO i=iMin,iMax
191 dPhiHydX(i,j) = dPhiHydX(i,j)
192 & +factorP*(alphRho(i-1,j)+alphRho(i,j))
193 & *(rStarFacC(i,j,bi,bj)-rStarFacC(i-1,j,bi,bj))
194 & *rC(k)*recip_dxC(i,j,bi,bj)
195 dPhiHydY(i,j) = dPhiHydY(i,j)
196 & +factorP*(alphRho(i,j-1)+alphRho(i,j))
197 & *(rStarFacC(i,j,bi,bj)-rStarFacC(i,j-1,bi,bj))
198 & *rC(k)*recip_dyC(i,j,bi,bj)
199 ENDDO
200 ENDDO
201 ENDIF
202 ENDIF
203 #endif /* NONLIN_FRSURF */
204
205 #endif /* INCLUDE_PHIHYD_CALCULATION_CODE */
206
207 RETURN
208 END

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