| 1 |
C $Header: /u/gcmpack/MITgcm/model/src/solve_for_pressure.F,v 1.34 2002/09/23 16:13:31 adcroft Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "CPP_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: SOLVE_FOR_PRESSURE |
| 8 |
C !INTERFACE: |
| 9 |
SUBROUTINE SOLVE_FOR_PRESSURE(myTime, myIter, myThid) |
| 10 |
|
| 11 |
C !DESCRIPTION: \bv |
| 12 |
C *==========================================================* |
| 13 |
C | SUBROUTINE SOLVE_FOR_PRESSURE |
| 14 |
C | o Controls inversion of two and/or three-dimensional |
| 15 |
C | elliptic problems for the pressure field. |
| 16 |
C *==========================================================* |
| 17 |
C \ev |
| 18 |
|
| 19 |
C !USES: |
| 20 |
IMPLICIT NONE |
| 21 |
C == Global variables |
| 22 |
#include "SIZE.h" |
| 23 |
#include "EEPARAMS.h" |
| 24 |
#include "PARAMS.h" |
| 25 |
#include "DYNVARS.h" |
| 26 |
#include "GRID.h" |
| 27 |
#include "SURFACE.h" |
| 28 |
#include "FFIELDS.h" |
| 29 |
#ifdef ALLOW_NONHYDROSTATIC |
| 30 |
#include "SOLVE_FOR_PRESSURE3D.h" |
| 31 |
#include "GW.h" |
| 32 |
#endif |
| 33 |
#ifdef ALLOW_OBCS |
| 34 |
#include "OBCS.h" |
| 35 |
#endif |
| 36 |
#include "SOLVE_FOR_PRESSURE.h" |
| 37 |
|
| 38 |
C === Functions ==== |
| 39 |
LOGICAL DIFFERENT_MULTIPLE |
| 40 |
EXTERNAL DIFFERENT_MULTIPLE |
| 41 |
|
| 42 |
C !INPUT/OUTPUT PARAMETERS: |
| 43 |
C == Routine arguments == |
| 44 |
C myTime - Current time in simulation |
| 45 |
C myIter - Current iteration number in simulation |
| 46 |
C myThid - Thread number for this instance of SOLVE_FOR_PRESSURE |
| 47 |
_RL myTime |
| 48 |
INTEGER myIter |
| 49 |
INTEGER myThid |
| 50 |
|
| 51 |
C !LOCAL VARIABLES: |
| 52 |
C == Local variables == |
| 53 |
INTEGER i,j,k,bi,bj |
| 54 |
_RS uf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 55 |
_RS vf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 56 |
_RL firstResidual,lastResidual |
| 57 |
_RL tmpFac, convertVol2Mass |
| 58 |
INTEGER numIters |
| 59 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 60 |
CEOP |
| 61 |
|
| 62 |
IF ( buoyancyRelation .eq. 'OCEANICP' ) THEN |
| 63 |
convertVol2Mass = gravity*rhoConstFresh |
| 64 |
ELSE |
| 65 |
convertVol2Mass = 1. _d 0 |
| 66 |
ENDIF |
| 67 |
|
| 68 |
C-- Save previous solution & Initialise Vector solution and source term : |
| 69 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 70 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 71 |
DO j=1-OLy,sNy+OLy |
| 72 |
DO i=1-OLx,sNx+OLx |
| 73 |
#ifdef INCLUDE_CD_CODE |
| 74 |
etaNm1(i,j,bi,bj) = etaN(i,j,bi,bj) |
| 75 |
#endif |
| 76 |
cg2d_x(i,j,bi,bj) = Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
| 77 |
cg2d_b(i,j,bi,bj) = 0. |
| 78 |
ENDDO |
| 79 |
ENDDO |
| 80 |
IF (useRealFreshWaterFlux) THEN |
| 81 |
tmpFac = freeSurfFac*convertVol2Mass |
| 82 |
IF (exactConserv) |
| 83 |
& tmpFac = freeSurfFac*convertVol2Mass*implicDiv2DFlow |
| 84 |
DO j=1,sNy |
| 85 |
DO i=1,sNx |
| 86 |
cg2d_b(i,j,bi,bj) = |
| 87 |
& tmpFac*_rA(i,j,bi,bj)*EmPmR(i,j,bi,bj)/deltaTMom |
| 88 |
ENDDO |
| 89 |
ENDDO |
| 90 |
ENDIF |
| 91 |
ENDDO |
| 92 |
ENDDO |
| 93 |
|
| 94 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 95 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 96 |
DO K=Nr,1,-1 |
| 97 |
DO j=1,sNy+1 |
| 98 |
DO i=1,sNx+1 |
| 99 |
uf(i,j) = _dyG(i,j,bi,bj) |
| 100 |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
| 101 |
vf(i,j) = _dxG(i,j,bi,bj) |
| 102 |
& *drF(k)*_hFacS(i,j,k,bi,bj) |
| 103 |
ENDDO |
| 104 |
ENDDO |
| 105 |
CALL CALC_DIV_GHAT( |
| 106 |
I bi,bj,1,sNx,1,sNy,K, |
| 107 |
I uf,vf, |
| 108 |
U cg2d_b, |
| 109 |
I myThid) |
| 110 |
ENDDO |
| 111 |
ENDDO |
| 112 |
ENDDO |
| 113 |
|
| 114 |
C-- Add source term arising from w=d/dt (p_s + p_nh) |
| 115 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 116 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 117 |
#ifdef ALLOW_NONHYDROSTATIC |
| 118 |
IF ( nonHydrostatic ) THEN |
| 119 |
DO j=1,sNy |
| 120 |
DO i=1,sNx |
| 121 |
cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj) |
| 122 |
& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTfreesurf |
| 123 |
& *( etaN(i,j,bi,bj) |
| 124 |
& +phi_nh(i,j,1,bi,bj)*horiVertRatio/gravity ) |
| 125 |
cg3d_b(i,j,1,bi,bj) = cg3d_b(i,j,1,bi,bj) |
| 126 |
& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTfreesurf |
| 127 |
& *( etaN(i,j,bi,bj) |
| 128 |
& +phi_nh(i,j,1,bi,bj)*horiVertRatio/gravity ) |
| 129 |
ENDDO |
| 130 |
ENDDO |
| 131 |
ELSEIF ( exactConserv ) THEN |
| 132 |
#else |
| 133 |
IF ( exactConserv ) THEN |
| 134 |
#endif |
| 135 |
DO j=1,sNy |
| 136 |
DO i=1,sNx |
| 137 |
cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj) |
| 138 |
& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTfreesurf |
| 139 |
& * etaH(i,j,bi,bj) |
| 140 |
ENDDO |
| 141 |
ENDDO |
| 142 |
ELSE |
| 143 |
DO j=1,sNy |
| 144 |
DO i=1,sNx |
| 145 |
cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj) |
| 146 |
& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTfreesurf |
| 147 |
& * etaN(i,j,bi,bj) |
| 148 |
ENDDO |
| 149 |
ENDDO |
| 150 |
ENDIF |
| 151 |
|
| 152 |
#ifdef ALLOW_OBCS |
| 153 |
IF (useOBCS) THEN |
| 154 |
DO i=1,sNx |
| 155 |
C Northern boundary |
| 156 |
IF (OB_Jn(I,bi,bj).NE.0) THEN |
| 157 |
cg2d_b(I,OB_Jn(I,bi,bj),bi,bj)=0. |
| 158 |
cg2d_x(I,OB_Jn(I,bi,bj),bi,bj)=0. |
| 159 |
ENDIF |
| 160 |
C Southern boundary |
| 161 |
IF (OB_Js(I,bi,bj).NE.0) THEN |
| 162 |
cg2d_b(I,OB_Js(I,bi,bj),bi,bj)=0. |
| 163 |
cg2d_x(I,OB_Js(I,bi,bj),bi,bj)=0. |
| 164 |
ENDIF |
| 165 |
ENDDO |
| 166 |
DO j=1,sNy |
| 167 |
C Eastern boundary |
| 168 |
IF (OB_Ie(J,bi,bj).NE.0) THEN |
| 169 |
cg2d_b(OB_Ie(J,bi,bj),J,bi,bj)=0. |
| 170 |
cg2d_x(OB_Ie(J,bi,bj),J,bi,bj)=0. |
| 171 |
ENDIF |
| 172 |
C Western boundary |
| 173 |
IF (OB_Iw(J,bi,bj).NE.0) THEN |
| 174 |
cg2d_b(OB_Iw(J,bi,bj),J,bi,bj)=0. |
| 175 |
cg2d_x(OB_Iw(J,bi,bj),J,bi,bj)=0. |
| 176 |
ENDIF |
| 177 |
ENDDO |
| 178 |
ENDIF |
| 179 |
#endif |
| 180 |
ENDDO |
| 181 |
ENDDO |
| 182 |
|
| 183 |
#ifndef DISABLE_DEBUGMODE |
| 184 |
IF (debugMode) THEN |
| 185 |
CALL DEBUG_STATS_RL(1,cg2d_b,'cg2d_b (SOLVE_FOR_PRESSURE)', |
| 186 |
& myThid) |
| 187 |
ENDIF |
| 188 |
#endif |
| 189 |
|
| 190 |
C-- Find the surface pressure using a two-dimensional conjugate |
| 191 |
C-- gradient solver. |
| 192 |
C see CG2D.h for the interface to this routine. |
| 193 |
firstResidual=0. |
| 194 |
lastResidual=0. |
| 195 |
numIters=cg2dMaxIters |
| 196 |
CALL CG2D( |
| 197 |
U cg2d_b, |
| 198 |
U cg2d_x, |
| 199 |
O firstResidual, |
| 200 |
O lastResidual, |
| 201 |
U numIters, |
| 202 |
I myThid ) |
| 203 |
_EXCH_XY_R8(cg2d_x, myThid ) |
| 204 |
|
| 205 |
#ifndef DISABLE_DEBUGMODE |
| 206 |
IF (debugMode) THEN |
| 207 |
CALL DEBUG_STATS_RL(1,cg2d_x,'cg2d_x (SOLVE_FOR_PRESSURE)', |
| 208 |
& myThid) |
| 209 |
ENDIF |
| 210 |
#endif |
| 211 |
|
| 212 |
C- dump CG2D output at monitorFreq (to reduce size of STD-OUTPUT files) : |
| 213 |
IF ( DIFFERENT_MULTIPLE(monitorFreq,myTime, |
| 214 |
& myTime-deltaTClock) ) THEN |
| 215 |
_BEGIN_MASTER( myThid ) |
| 216 |
WRITE(msgBuf,'(A34,1PE24.14)') 'cg2d_init_res =',firstResidual |
| 217 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 218 |
WRITE(msgBuf,'(A34,I6)') 'cg2d_iters =',numIters |
| 219 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 220 |
WRITE(msgBuf,'(A34,1PE24.14)') 'cg2d_res =',lastResidual |
| 221 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 222 |
_END_MASTER( ) |
| 223 |
ENDIF |
| 224 |
|
| 225 |
C-- Transfert the 2D-solution to "etaN" : |
| 226 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 227 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 228 |
DO j=1-OLy,sNy+OLy |
| 229 |
DO i=1-OLx,sNx+OLx |
| 230 |
etaN(i,j,bi,bj) = recip_Bo(i,j,bi,bj)*cg2d_x(i,j,bi,bj) |
| 231 |
ENDDO |
| 232 |
ENDDO |
| 233 |
ENDDO |
| 234 |
ENDDO |
| 235 |
|
| 236 |
#ifdef ALLOW_NONHYDROSTATIC |
| 237 |
IF ( nonHydrostatic ) THEN |
| 238 |
|
| 239 |
C-- Solve for a three-dimensional pressure term (NH or IGW or both ). |
| 240 |
C see CG3D.h for the interface to this routine. |
| 241 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 242 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 243 |
DO j=1,sNy+1 |
| 244 |
DO i=1,sNx+1 |
| 245 |
uf(i,j)=-_recip_dxC(i,j,bi,bj)* |
| 246 |
& (cg2d_x(i,j,bi,bj)-cg2d_x(i-1,j,bi,bj)) |
| 247 |
vf(i,j)=-_recip_dyC(i,j,bi,bj)* |
| 248 |
& (cg2d_x(i,j,bi,bj)-cg2d_x(i,j-1,bi,bj)) |
| 249 |
ENDDO |
| 250 |
ENDDO |
| 251 |
|
| 252 |
#ifdef ALLOW_OBCS |
| 253 |
IF (useOBCS) THEN |
| 254 |
DO i=1,sNx+1 |
| 255 |
C Northern boundary |
| 256 |
IF (OB_Jn(I,bi,bj).NE.0) THEN |
| 257 |
vf(I,OB_Jn(I,bi,bj))=0. |
| 258 |
ENDIF |
| 259 |
C Southern boundary |
| 260 |
IF (OB_Js(I,bi,bj).NE.0) THEN |
| 261 |
vf(I,OB_Js(I,bi,bj)+1)=0. |
| 262 |
ENDIF |
| 263 |
ENDDO |
| 264 |
DO j=1,sNy+1 |
| 265 |
C Eastern boundary |
| 266 |
IF (OB_Ie(J,bi,bj).NE.0) THEN |
| 267 |
uf(OB_Ie(J,bi,bj),J)=0. |
| 268 |
ENDIF |
| 269 |
C Western boundary |
| 270 |
IF (OB_Iw(J,bi,bj).NE.0) THEN |
| 271 |
uf(OB_Iw(J,bi,bj)+1,J)=0. |
| 272 |
ENDIF |
| 273 |
ENDDO |
| 274 |
ENDIF |
| 275 |
#endif |
| 276 |
|
| 277 |
K=1 |
| 278 |
DO j=1,sNy |
| 279 |
DO i=1,sNx |
| 280 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 281 |
& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 282 |
& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 283 |
& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 284 |
& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 285 |
& +( freeSurfFac*etaN(i,j,bi,bj)/deltaTMom |
| 286 |
& -wVel(i,j,k+1,bi,bj) |
| 287 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 288 |
ENDDO |
| 289 |
ENDDO |
| 290 |
DO K=2,Nr-1 |
| 291 |
DO j=1,sNy |
| 292 |
DO i=1,sNx |
| 293 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 294 |
& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 295 |
& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 296 |
& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 297 |
& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 298 |
& +( wVel(i,j,k ,bi,bj) |
| 299 |
& -wVel(i,j,k+1,bi,bj) |
| 300 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 301 |
|
| 302 |
ENDDO |
| 303 |
ENDDO |
| 304 |
ENDDO |
| 305 |
K=Nr |
| 306 |
DO j=1,sNy |
| 307 |
DO i=1,sNx |
| 308 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 309 |
& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 310 |
& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 311 |
& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 312 |
& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 313 |
& +( wVel(i,j,k ,bi,bj) |
| 314 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 315 |
|
| 316 |
ENDDO |
| 317 |
ENDDO |
| 318 |
|
| 319 |
#ifdef ALLOW_OBCS |
| 320 |
IF (useOBCS) THEN |
| 321 |
DO K=1,Nr |
| 322 |
DO i=1,sNx |
| 323 |
C Northern boundary |
| 324 |
IF (OB_Jn(I,bi,bj).NE.0) THEN |
| 325 |
cg3d_b(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
| 326 |
ENDIF |
| 327 |
C Southern boundary |
| 328 |
IF (OB_Js(I,bi,bj).NE.0) THEN |
| 329 |
cg3d_b(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
| 330 |
ENDIF |
| 331 |
ENDDO |
| 332 |
DO j=1,sNy |
| 333 |
C Eastern boundary |
| 334 |
IF (OB_Ie(J,bi,bj).NE.0) THEN |
| 335 |
cg3d_b(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
| 336 |
ENDIF |
| 337 |
C Western boundary |
| 338 |
IF (OB_Iw(J,bi,bj).NE.0) THEN |
| 339 |
cg3d_b(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
| 340 |
ENDIF |
| 341 |
ENDDO |
| 342 |
ENDDO |
| 343 |
ENDIF |
| 344 |
#endif |
| 345 |
|
| 346 |
ENDDO ! bi |
| 347 |
ENDDO ! bj |
| 348 |
|
| 349 |
firstResidual=0. |
| 350 |
lastResidual=0. |
| 351 |
numIters=cg2dMaxIters |
| 352 |
CALL CG3D( |
| 353 |
U cg3d_b, |
| 354 |
U phi_nh, |
| 355 |
O firstResidual, |
| 356 |
O lastResidual, |
| 357 |
U numIters, |
| 358 |
I myThid ) |
| 359 |
_EXCH_XYZ_R8(phi_nh, myThid ) |
| 360 |
|
| 361 |
_BEGIN_MASTER( myThid ) |
| 362 |
WRITE(msgBuf,'(A34,1PE24.14)') 'cg3d_init_res =',firstResidual |
| 363 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 364 |
WRITE(msgBuf,'(A34,I6)') 'cg3d_iters =',numIters |
| 365 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 366 |
WRITE(msgBuf,'(A34,1PE24.14)') 'cg3d_res =',lastResidual |
| 367 |
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 368 |
_END_MASTER( ) |
| 369 |
|
| 370 |
ENDIF |
| 371 |
#endif |
| 372 |
|
| 373 |
RETURN |
| 374 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph