2 |
C $Name$ |
C $Name$ |
3 |
|
|
4 |
#include "CPP_OPTIONS.h" |
#include "CPP_OPTIONS.h" |
5 |
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#define OLD_PSTAR_SLOPE_TERM |
6 |
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7 |
CBOP |
CBOP |
8 |
C !ROUTINE: CALC_GRAD_PHI_HYD |
C !ROUTINE: CALC_GRAD_PHI_HYD |
9 |
C !INTERFACE: |
C !INTERFACE: |
10 |
SUBROUTINE CALC_GRAD_PHI_HYD( |
SUBROUTINE CALC_GRAD_PHI_HYD( |
11 |
I k, bi, bj, iMin,iMax, jMin,jMax, |
I k, bi, bj, iMin,iMax, jMin,jMax, |
12 |
I phiHydC, alphRho, tFld, sFld, |
I phiHydC, alphRho, tFld, sFld, |
13 |
O dPhiHydX, dPhiHydY, |
O dPhiHydX, dPhiHydY, |
14 |
I myTime, myIter, myThid) |
I myTime, myIter, myThid) |
15 |
C !DESCRIPTION: \bv |
C !DESCRIPTION: \bv |
16 |
C *==========================================================* |
C *==========================================================* |
17 |
C | S/R CALC_GRAD_PHI_HYD |
C | S/R CALC_GRAD_PHI_HYD |
18 |
C | o Calculate the gradient of Hydrostatic potential anomaly |
C | o Calculate the gradient of Hydrostatic potential anomaly |
19 |
C *==========================================================* |
C *==========================================================* |
20 |
C \ev |
C \ev |
21 |
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31 |
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32 |
C !INPUT/OUTPUT PARAMETERS: |
C !INPUT/OUTPUT PARAMETERS: |
33 |
C == Routine Arguments == |
C == Routine Arguments == |
34 |
C bi,bj :: tile index |
C bi,bj :: tile index |
35 |
C iMin,iMax,jMin,jMax :: Loop counters |
C iMin,iMax,jMin,jMax :: Loop counters |
36 |
C phiHydC :: Hydrostatic Potential anomaly |
C phiHydC :: Hydrostatic Potential anomaly |
37 |
C (atmos: =Geopotential ; ocean-z: =Pressure/rho) |
C (atmos: =Geopotential ; ocean-z: =Pressure/rho) |
38 |
C alphRho :: Density (z-coord) or specific volume (p-coord) |
C alphRho :: Density (z-coord) or specific volume (p-coord) |
39 |
C tFld :: Potential temp. |
C tFld :: Potential temp. |
40 |
C sFld :: Salinity |
C sFld :: Salinity |
41 |
C dPhiHydX,Y :: Gradient (X & Y directions) of Hyd. Potential |
C dPhiHydX,Y :: Gradient (X & Y directions) of Hyd. Potential |
42 |
C myTime :: Current time |
C myTime :: Current time |
43 |
C myIter :: Current iteration number |
C myIter :: Current iteration number |
44 |
C myThid :: Instance number for this call of the routine. |
C myThid :: Instance number for this call of the routine. |
45 |
INTEGER k, bi,bj, iMin,iMax, jMin,jMax |
INTEGER k, bi,bj, iMin,iMax, jMin,jMax |
|
c _RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
|
46 |
_RL phiHydC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL phiHydC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
47 |
_RL alphRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL alphRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
48 |
_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) |
49 |
_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) |
50 |
_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
_RL dPhiHydX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
51 |
_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
_RL dPhiHydY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
52 |
_RL myTime |
_RL myTime |
53 |
INTEGER myIter, myThid |
INTEGER myIter, myThid |
54 |
|
|
58 |
C == Local variables == |
C == Local variables == |
59 |
C i,j :: Loop counters |
C i,j :: Loop counters |
60 |
INTEGER i,j |
INTEGER i,j |
61 |
_RL varLoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
_RL varLoc(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
62 |
#ifdef NONLIN_FRSURF |
#ifdef NONLIN_FRSURF |
63 |
_RL factorZ, factorP, conv_theta2T |
_RL factorZ, factorP, factPI |
|
_RL factPI |
|
64 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
65 |
#endif |
#endif |
66 |
CEOP |
CEOP |
69 |
IF (select_rStar.GE.2 .AND. nonlinFreeSurf.GE.4 ) THEN |
IF (select_rStar.GE.2 .AND. nonlinFreeSurf.GE.4 ) THEN |
70 |
# ifndef DISABLE_RSTAR_CODE |
# ifndef DISABLE_RSTAR_CODE |
71 |
C- Integral of b.dr = rStarFac * Integral of b.dr* : |
C- Integral of b.dr = rStarFac * Integral of b.dr* : |
72 |
C and will add later (select_rStar=2) the contribution of |
C and will add later (select_rStar=2) the contribution of |
73 |
C the slope of the r* coordinate. |
C the slope of the r* coordinate. |
74 |
IF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN |
IF ( fluidIsAir ) THEN |
75 |
C- Consistent with Phi'= Integr[ theta'.dPi ] : |
C- Consistent with Phi'= Integr[ theta'.dPI ] : |
76 |
DO j=jMin-1,jMax |
DO j=jMin,jMax |
77 |
DO i=iMin-1,iMax |
DO i=iMin,iMax |
78 |
varLoc(i,j) = phiHydC(i,j)*rStarFacC(i,j,bi,bj)**atm_kappa |
varLoc(i,j) = phiHydC(i,j)*pStarFacK(i,j,bi,bj) |
79 |
& + phi0surf(i,j,bi,bj) |
& + phi0surf(i,j,bi,bj) |
80 |
ENDDO |
ENDDO |
81 |
ENDDO |
ENDDO |
82 |
ELSE |
ELSE |
83 |
DO j=jMin-1,jMax |
DO j=jMin,jMax |
84 |
DO i=iMin-1,iMax |
DO i=iMin,iMax |
85 |
varLoc(i,j) = phiHydC(i,j)*rStarFacC(i,j,bi,bj) |
varLoc(i,j) = phiHydC(i,j)*rStarFacC(i,j,bi,bj) |
86 |
& + phi0surf(i,j,bi,bj) |
& + phi0surf(i,j,bi,bj) |
87 |
ENDDO |
ENDDO |
90 |
ELSEIF (select_rStar.GE.1 .AND. nonlinFreeSurf.GE.4 ) THEN |
ELSEIF (select_rStar.GE.1 .AND. nonlinFreeSurf.GE.4 ) THEN |
91 |
C- Integral of b.dr but scaled to correspond to a fixed r-level (=r*) |
C- Integral of b.dr but scaled to correspond to a fixed r-level (=r*) |
92 |
C no contribution of the slope of the r* coordinate (select_rStar=1) |
C no contribution of the slope of the r* coordinate (select_rStar=1) |
93 |
IF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN |
IF ( fluidIsAir ) THEN |
94 |
C- Consistent with Phi'= Integr[ theta'.dPi ] : |
C- Consistent with Phi'= Integr[ theta'.dPI ] : |
95 |
DO j=jMin-1,jMax |
DO j=jMin,jMax |
96 |
DO i=iMin-1,iMax |
DO i=iMin,iMax |
97 |
IF (Ro_surf(i,j,bi,bj).EQ.rC(k)) THEN |
IF (Ro_surf(i,j,bi,bj).EQ.rC(k)) THEN |
98 |
factPI=atm_Cp*( ((etaH(i,j,bi,bj)+rC(k))/atm_Po)**atm_kappa |
factPI=atm_Cp*( ((etaH(i,j,bi,bj)+rC(k))/atm_Po)**atm_kappa |
99 |
& -( rC(k) /atm_Po)**atm_kappa |
& -( rC(k) /atm_Po)**atm_kappa |
100 |
& ) |
& ) |
101 |
varLoc(i,j) = factPI*alphRho(i,j) |
varLoc(i,j) = factPI*alphRho(i,j) |
102 |
|
& + phi0surf(i,j,bi,bj) |
103 |
ELSEIF (Ro_surf(i,j,bi,bj).NE.0. _d 0) THEN |
ELSEIF (Ro_surf(i,j,bi,bj).NE.0. _d 0) THEN |
104 |
factPI = (rC(k)/Ro_surf(i,j,bi,bj))**atm_kappa |
factPI = (rC(k)/Ro_surf(i,j,bi,bj))**atm_kappa |
105 |
varLoc(i,j) = phiHydC(i,j) |
varLoc(i,j) = phiHydC(i,j) |
110 |
ENDDO |
ENDDO |
111 |
ENDDO |
ENDDO |
112 |
ELSE |
ELSE |
113 |
DO j=jMin-1,jMax |
DO j=jMin,jMax |
114 |
DO i=iMin-1,iMax |
DO i=iMin,iMax |
115 |
IF (Ro_surf(i,j,bi,bj).EQ.rC(k)) THEN |
IF (Ro_surf(i,j,bi,bj).EQ.rC(k)) THEN |
116 |
WRITE(msgBuf,'(3A)') 'CALC_GRAD_PHI_HYD: ', |
WRITE(msgBuf,'(3A)') 'CALC_GRAD_PHI_HYD: ', |
117 |
& 'Problem when Ro_surf=rC', |
& 'Problem when Ro_surf=rC', |
118 |
& ' with select_rStar,integr_GeoPot=1,4' |
& ' with select_rStar,nonlinFreeSurf=1,4' |
119 |
CALL PRINT_ERROR( msgBuf , myThid) |
CALL PRINT_ERROR( msgBuf , myThid) |
120 |
STOP 'CALC_GRAD_PHI_HYD: Pb in r* options implementation' |
STOP 'CALC_GRAD_PHI_HYD: Pb in r* options implementation' |
121 |
ELSE |
ELSE |
132 |
#else /* NONLIN_FRSURF */ |
#else /* NONLIN_FRSURF */ |
133 |
IF (.TRUE.) THEN |
IF (.TRUE.) THEN |
134 |
#endif /* NONLIN_FRSURF */ |
#endif /* NONLIN_FRSURF */ |
135 |
DO j=jMin-1,jMax |
DO j=jMin,jMax |
136 |
DO i=iMin-1,iMax |
DO i=iMin,iMax |
137 |
varLoc(i,j) = phiHydC(i,j)+phi0surf(i,j,bi,bj) |
varLoc(i,j) = phiHydC(i,j)+phi0surf(i,j,bi,bj) |
138 |
ENDDO |
ENDDO |
139 |
ENDDO |
ENDDO |
140 |
ENDIF |
ENDIF |
141 |
|
|
142 |
C-- Zonal & Meridional gradient of potential anomaly |
C-- Zonal & Meridional gradient of potential anomaly |
143 |
|
DO j=1-OLy,sNy+OLy |
144 |
|
DO i=1-OLx,sNx+OLx |
145 |
|
dPhiHydX(i,j) = 0. _d 0 |
146 |
|
dPhiHydY(i,j) = 0. _d 0 |
147 |
|
ENDDO |
148 |
|
ENDDO |
149 |
DO j=jMin,jMax |
DO j=jMin,jMax |
150 |
|
DO i=iMin+1,iMax |
151 |
|
dPhiHydX(i,j) = _recip_dxC(i,j,bi,bj)*recip_deepFacC(k) |
152 |
|
& *( varLoc(i,j)-varLoc(i-1,j) )*recip_rhoFacC(k) |
153 |
|
ENDDO |
154 |
|
ENDDO |
155 |
|
DO j=jMin+1,jMax |
156 |
DO i=iMin,iMax |
DO i=iMin,iMax |
157 |
dPhiHydX(i,j) = _recip_dxC(i,j,bi,bj) |
dPhiHydY(i,j) = _recip_dyC(i,j,bi,bj)*recip_deepFacC(k) |
158 |
& *( varLoc(i,j)-varLoc(i-1,j) ) |
& *( varLoc(i,j)-varLoc(i,j-1) )*recip_rhoFacC(k) |
|
dPhiHydY(i,j) = _recip_dyC(i,j,bi,bj) |
|
|
& *( varLoc(i,j)-varLoc(i,j-1) ) |
|
159 |
ENDDO |
ENDDO |
160 |
ENDDO |
ENDDO |
161 |
|
|
162 |
#ifdef NONLIN_FRSURF |
#ifdef NONLIN_FRSURF |
163 |
|
# ifndef DISABLE_RSTAR_CODE |
164 |
IF (select_rStar.GE.2 .AND. nonlinFreeSurf.GE.1 ) THEN |
IF (select_rStar.GE.2 .AND. nonlinFreeSurf.GE.1 ) THEN |
165 |
IF ( buoyancyRelation .EQ. 'OCEANIC' ) THEN |
IF ( fluidIsWater .AND. usingZCoords ) THEN |
166 |
C-- z* coordinate slope term: rho'/rho0 * Grad_r(g.z) |
C-- z* coordinate slope term: rho_prime/rho0 * Grad_r(g.z) |
167 |
factorZ = gravity*recip_rhoConst*0.5 _d 0 |
factorZ = gravity*recip_rhoConst*recip_rhoFacC(k)*0.5 _d 0 |
168 |
DO j=jMin-1,jMax |
DO j=jMin,jMax |
169 |
DO i=iMin-1,iMax |
DO i=iMin,iMax |
170 |
varLoc(i,j) = etaH(i,j,bi,bj) |
varLoc(i,j) = etaH(i,j,bi,bj) |
171 |
& *(1. _d 0 + rC(k)*recip_Rcol(i,j,bi,bj)) |
& *(1. _d 0 + rC(k)*recip_Rcol(i,j,bi,bj)) |
172 |
ENDDO |
ENDDO |
173 |
ENDDO |
ENDDO |
174 |
DO j=jMin,jMax |
DO j=jMin,jMax |
175 |
DO i=iMin,iMax |
DO i=iMin+1,iMax |
176 |
dPhiHydX(i,j) = dPhiHydX(i,j) |
dPhiHydX(i,j) = dPhiHydX(i,j) |
177 |
& +factorZ*(alphRho(i-1,j)+alphRho(i,j)) |
& +factorZ*(alphRho(i-1,j)+alphRho(i,j)) |
178 |
& *(varLoc(i,j)-varLoc(i-1,j)) |
& *(varLoc(i,j)-varLoc(i-1,j)) |
179 |
& *recip_dxC(i,j,bi,bj) |
& *recip_dxC(i,j,bi,bj)*recip_deepFacC(k) |
180 |
|
ENDDO |
181 |
|
ENDDO |
182 |
|
DO j=jMin+1,jMax |
183 |
|
DO i=iMin,iMax |
184 |
dPhiHydY(i,j) = dPhiHydY(i,j) |
dPhiHydY(i,j) = dPhiHydY(i,j) |
185 |
& +factorZ*(alphRho(i,j-1)+alphRho(i,j)) |
& +factorZ*(alphRho(i,j-1)+alphRho(i,j)) |
186 |
& *(varLoc(i,j)-varLoc(i,j-1)) |
& *(varLoc(i,j)-varLoc(i,j-1)) |
187 |
& *recip_dyC(i,j,bi,bj) |
& *recip_dyC(i,j,bi,bj)*recip_deepFacC(k) |
188 |
ENDDO |
ENDDO |
189 |
ENDDO |
ENDDO |
190 |
ELSEIF (buoyancyRelation .EQ. 'OCEANICP' ) THEN |
ELSEIF ( fluidIsWater ) THEN |
191 |
C-- p* coordinate slope term: alpha' * Grad_r( p ) |
C-- p* coordinate slope term: alpha_prime * Grad_r( p ) |
192 |
factorP = 0.5 _d 0 |
factorP = 0.5 _d 0 |
193 |
DO j=jMin,jMax |
DO j=jMin,jMax |
194 |
DO i=iMin,iMax |
DO i=iMin+1,iMax |
195 |
dPhiHydX(i,j) = dPhiHydX(i,j) |
dPhiHydX(i,j) = dPhiHydX(i,j) |
196 |
& +factorP*(alphRho(i-1,j)+alphRho(i,j)) |
& +factorP*(alphRho(i-1,j)+alphRho(i,j)) |
197 |
& *(rStarFacC(i,j,bi,bj)-rStarFacC(i-1,j,bi,bj)) |
& *(rStarFacC(i,j,bi,bj)-rStarFacC(i-1,j,bi,bj)) |
198 |
& *rC(k)*recip_dxC(i,j,bi,bj) |
& *rC(k)*recip_dxC(i,j,bi,bj)*recip_deepFacC(k) |
199 |
|
ENDDO |
200 |
|
ENDDO |
201 |
|
DO j=jMin+1,jMax |
202 |
|
DO i=iMin,iMax |
203 |
dPhiHydY(i,j) = dPhiHydY(i,j) |
dPhiHydY(i,j) = dPhiHydY(i,j) |
204 |
& +factorP*(alphRho(i,j-1)+alphRho(i,j)) |
& +factorP*(alphRho(i,j-1)+alphRho(i,j)) |
205 |
& *(rStarFacC(i,j,bi,bj)-rStarFacC(i,j-1,bi,bj)) |
& *(rStarFacC(i,j,bi,bj)-rStarFacC(i,j-1,bi,bj)) |
206 |
& *rC(k)*recip_dyC(i,j,bi,bj) |
& *rC(k)*recip_dyC(i,j,bi,bj)*recip_deepFacC(k) |
207 |
ENDDO |
ENDDO |
208 |
ENDDO |
ENDDO |
209 |
ELSEIF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN |
ELSEIF ( fluidIsAir ) THEN |
210 |
C-- p* coordinate slope term: alpha' * Grad_r( p ) |
#ifdef OLD_PSTAR_SLOPE_TERM |
211 |
conv_theta2T = (rC(k)/atm_Po)**atm_kappa |
C-- p* coordinate slope term: alpha_prime * Grad_r( p ): |
212 |
factorP = (atm_Rd/rC(k))*conv_theta2T*0.5 _d 0 |
C PI_star * (Theta_eq^prime)_bar_i * kappa * delta^i( rStarFacC ) |
213 |
|
C- Note: factor: ( p_s / p_s^o )^(kappa - 1) = rStarFacC^(kappa -1) |
214 |
|
C is missing here. |
215 |
|
factorP = (rC(k)/atm_Po)**atm_kappa |
216 |
|
factorP = (atm_Rd/rC(k))*factorP*0.5 _d 0 |
217 |
|
#else |
218 |
|
C-- p* coordinate slope term: theta_prime * Grad_r( PI ): |
219 |
|
C PI_star * (Theta_eq^prime)_bar_i * delta^i( rStarFacC^kappa ) |
220 |
|
C This is also consitent with geopotential factor: rStarFacC^kappa |
221 |
|
factorP = halfRL*atm_Cp*(rC(k)/atm_Po)**atm_kappa |
222 |
|
#endif |
223 |
DO j=jMin,jMax |
DO j=jMin,jMax |
224 |
DO i=iMin,iMax |
DO i=iMin+1,iMax |
225 |
dPhiHydX(i,j) = dPhiHydX(i,j) |
dPhiHydX(i,j) = dPhiHydX(i,j) |
226 |
& +factorP*(alphRho(i-1,j)+alphRho(i,j)) |
& +factorP*(alphRho(i-1,j)+alphRho(i,j)) |
227 |
|
#ifdef OLD_PSTAR_SLOPE_TERM |
228 |
& *(rStarFacC(i,j,bi,bj)-rStarFacC(i-1,j,bi,bj)) |
& *(rStarFacC(i,j,bi,bj)-rStarFacC(i-1,j,bi,bj)) |
229 |
& *rC(k)*recip_dxC(i,j,bi,bj) |
& *rC(k)*recip_dxC(i,j,bi,bj)*recip_deepFacC(k) |
230 |
|
#else |
231 |
|
& *(pStarFacK(i,j,bi,bj)-pStarFacK(i-1,j,bi,bj)) |
232 |
|
& *recip_dxC(i,j,bi,bj)*recip_deepFacC(k) |
233 |
|
#endif |
234 |
|
ENDDO |
235 |
|
ENDDO |
236 |
|
DO j=jMin+1,jMax |
237 |
|
DO i=iMin,iMax |
238 |
dPhiHydY(i,j) = dPhiHydY(i,j) |
dPhiHydY(i,j) = dPhiHydY(i,j) |
239 |
& +factorP*(alphRho(i,j-1)+alphRho(i,j)) |
& +factorP*(alphRho(i,j-1)+alphRho(i,j)) |
240 |
|
#ifdef OLD_PSTAR_SLOPE_TERM |
241 |
& *(rStarFacC(i,j,bi,bj)-rStarFacC(i,j-1,bi,bj)) |
& *(rStarFacC(i,j,bi,bj)-rStarFacC(i,j-1,bi,bj)) |
242 |
& *rC(k)*recip_dyC(i,j,bi,bj) |
& *rC(k)*recip_dyC(i,j,bi,bj)*recip_deepFacC(k) |
243 |
|
#else |
244 |
|
& *(pStarFacK(i,j,bi,bj)-pStarFacK(i,j-1,bi,bj)) |
245 |
|
& *recip_dyC(i,j,bi,bj)*recip_deepFacC(k) |
246 |
|
#endif |
247 |
ENDDO |
ENDDO |
248 |
ENDDO |
ENDDO |
249 |
ENDIF |
ENDIF |
250 |
ENDIF |
ENDIF |
251 |
|
# endif /* DISABLE_RSTAR_CODE */ |
252 |
#endif /* NONLIN_FRSURF */ |
#endif /* NONLIN_FRSURF */ |
253 |
|
|
254 |
|
C-- Apply mask: |
255 |
|
DO j=1-OLy,sNy+OLy |
256 |
|
DO i=1-OLx,sNx+OLx |
257 |
|
dPhiHydX(i,j) = dPhiHydX(i,j)*_maskW(i,j,k,bi,bj) |
258 |
|
dPhiHydY(i,j) = dPhiHydY(i,j)*_maskS(i,j,k,bi,bj) |
259 |
|
ENDDO |
260 |
|
ENDDO |
261 |
|
|
262 |
#endif /* INCLUDE_PHIHYD_CALCULATION_CODE */ |
#endif /* INCLUDE_PHIHYD_CALCULATION_CODE */ |
263 |
|
|
264 |
RETURN |
RETURN |