| 1 |
jmc |
1.26 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/solve_for_pressure.F,v 1.25 2001/06/29 17:14:49 adcroft Exp $ |
| 2 |
heimbach |
1.21 |
C $Name: $ |
| 3 |
cnh |
1.1 |
|
| 4 |
adcroft |
1.5 |
#include "CPP_OPTIONS.h" |
| 5 |
cnh |
1.1 |
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| 6 |
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CStartOfInterface |
| 7 |
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SUBROUTINE SOLVE_FOR_PRESSURE( myThid ) |
| 8 |
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C /==========================================================\ |
| 9 |
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C | SUBROUTINE SOLVE_FOR_PRESSURE | |
| 10 |
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C | o Controls inversion of two and/or three-dimensional | |
| 11 |
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C | elliptic problems for the pressure field. | |
| 12 |
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C \==========================================================/ |
| 13 |
adcroft |
1.8 |
IMPLICIT NONE |
| 14 |
cnh |
1.1 |
|
| 15 |
cnh |
1.4 |
C == Global variables |
| 16 |
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#include "SIZE.h" |
| 17 |
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#include "EEPARAMS.h" |
| 18 |
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#include "PARAMS.h" |
| 19 |
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#include "DYNVARS.h" |
| 20 |
adcroft |
1.12 |
#include "GRID.h" |
| 21 |
jmc |
1.17 |
#include "SURFACE.h" |
| 22 |
adcroft |
1.9 |
#ifdef ALLOW_NONHYDROSTATIC |
| 23 |
adcroft |
1.25 |
#include "SOLVE_FOR_PRESSURE3D.h" |
| 24 |
adcroft |
1.9 |
#include "GW.h" |
| 25 |
adcroft |
1.12 |
#endif |
| 26 |
adcroft |
1.11 |
#ifdef ALLOW_OBCS |
| 27 |
adcroft |
1.9 |
#include "OBCS.h" |
| 28 |
adcroft |
1.11 |
#endif |
| 29 |
adcroft |
1.22 |
#include "SOLVE_FOR_PRESSURE.h" |
| 30 |
cnh |
1.4 |
|
| 31 |
cnh |
1.1 |
C == Routine arguments == |
| 32 |
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C myThid - Number of this instance of SOLVE_FOR_PRESSURE |
| 33 |
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INTEGER myThid |
| 34 |
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CEndOfInterface |
| 35 |
cnh |
1.4 |
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| 36 |
adcroft |
1.22 |
C == Local variables == |
| 37 |
cnh |
1.6 |
INTEGER i,j,k,bi,bj |
| 38 |
adcroft |
1.9 |
_RS uf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 39 |
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_RS vf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 40 |
adcroft |
1.22 |
_RL firstResidual,lastResidual |
| 41 |
adcroft |
1.19 |
INTEGER numIters |
| 42 |
adcroft |
1.25 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 43 |
jmc |
1.17 |
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| 44 |
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C-- Save previous solution & Initialise Vector solution and source term : |
| 45 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 46 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 47 |
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DO j=1-OLy,sNy+OLy |
| 48 |
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DO i=1-OLx,sNx+OLx |
| 49 |
jmc |
1.26 |
#ifdef INCLUDE_CD_CODE |
| 50 |
jmc |
1.17 |
etaNm1(i,j,bi,bj) = etaN(i,j,bi,bj) |
| 51 |
jmc |
1.26 |
#endif |
| 52 |
jmc |
1.18 |
cg2d_x(i,j,bi,bj) = Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
| 53 |
jmc |
1.17 |
cg2d_b(i,j,bi,bj) = 0. |
| 54 |
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#ifdef USE_NATURAL_BCS |
| 55 |
jmc |
1.18 |
& + freeSurfFac*_rA(i,j,bi,bj)* |
| 56 |
jmc |
1.17 |
& EmPmR(I,J,bi,bj)/deltaTMom |
| 57 |
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#endif |
| 58 |
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ENDDO |
| 59 |
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ENDDO |
| 60 |
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ENDDO |
| 61 |
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ENDDO |
| 62 |
adcroft |
1.12 |
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| 63 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 64 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 65 |
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DO K=Nr,1,-1 |
| 66 |
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DO j=1,sNy+1 |
| 67 |
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DO i=1,sNx+1 |
| 68 |
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uf(i,j) = _dyG(i,j,bi,bj) |
| 69 |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
| 70 |
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vf(i,j) = _dxG(i,j,bi,bj) |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
| 72 |
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ENDDO |
| 73 |
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ENDDO |
| 74 |
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CALL CALC_DIV_GHAT( |
| 75 |
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I bi,bj,1,sNx,1,sNy,K, |
| 76 |
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I uf,vf, |
| 77 |
jmc |
1.17 |
U cg2d_b, |
| 78 |
adcroft |
1.12 |
I myThid) |
| 79 |
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ENDDO |
| 80 |
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ENDDO |
| 81 |
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ENDDO |
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cnh |
1.4 |
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adcroft |
1.12 |
C-- Add source term arising from w=d/dt (p_s + p_nh) |
| 84 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 85 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 86 |
adcroft |
1.13 |
#ifdef ALLOW_NONHYDROSTATIC |
| 87 |
adcroft |
1.12 |
DO j=1,sNy |
| 88 |
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DO i=1,sNx |
| 89 |
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cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj) |
| 90 |
jmc |
1.18 |
& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom |
| 91 |
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& *( etaN(i,j,bi,bj) |
| 92 |
adcroft |
1.25 |
& +phi_nh(i,j,1,bi,bj)*horiVertRatio/gravity ) |
| 93 |
adcroft |
1.13 |
cg3d_b(i,j,1,bi,bj) = cg3d_b(i,j,1,bi,bj) |
| 94 |
jmc |
1.18 |
& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom |
| 95 |
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& *( etaN(i,j,bi,bj) |
| 96 |
adcroft |
1.25 |
& +phi_nh(i,j,1,bi,bj)*horiVertRatio/gravity ) |
| 97 |
adcroft |
1.12 |
ENDDO |
| 98 |
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ENDDO |
| 99 |
adcroft |
1.13 |
#else |
| 100 |
jmc |
1.26 |
IF ( exactConserv ) THEN |
| 101 |
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c IF (nonlinFreeSurf.GT.0) THEN |
| 102 |
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DO j=1,sNy |
| 103 |
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DO i=1,sNx |
| 104 |
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cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj) |
| 105 |
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& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom |
| 106 |
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& * etaH(i,j,bi,bj) |
| 107 |
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ENDDO |
| 108 |
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ENDDO |
| 109 |
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ELSE |
| 110 |
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DO j=1,sNy |
| 111 |
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DO i=1,sNx |
| 112 |
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cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj) |
| 113 |
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& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom |
| 114 |
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& * etaN(i,j,bi,bj) |
| 115 |
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ENDDO |
| 116 |
adcroft |
1.12 |
ENDDO |
| 117 |
jmc |
1.26 |
ENDIF |
| 118 |
adcroft |
1.12 |
#endif |
| 119 |
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|
| 120 |
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#ifdef ALLOW_OBCS |
| 121 |
adcroft |
1.14 |
IF (useOBCS) THEN |
| 122 |
adcroft |
1.12 |
DO i=1,sNx |
| 123 |
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C Northern boundary |
| 124 |
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
| 125 |
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cg2d_b(I,OB_Jn(I,bi,bj),bi,bj)=0. |
| 126 |
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ENDIF |
| 127 |
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C Southern boundary |
| 128 |
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IF (OB_Js(I,bi,bj).NE.0) THEN |
| 129 |
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cg2d_b(I,OB_Js(I,bi,bj),bi,bj)=0. |
| 130 |
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ENDIF |
| 131 |
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ENDDO |
| 132 |
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DO j=1,sNy |
| 133 |
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C Eastern boundary |
| 134 |
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IF (OB_Ie(J,bi,bj).NE.0) THEN |
| 135 |
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cg2d_b(OB_Ie(J,bi,bj),J,bi,bj)=0. |
| 136 |
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ENDIF |
| 137 |
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C Western boundary |
| 138 |
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IF (OB_Iw(J,bi,bj).NE.0) THEN |
| 139 |
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cg2d_b(OB_Iw(J,bi,bj),J,bi,bj)=0. |
| 140 |
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ENDIF |
| 141 |
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ENDDO |
| 142 |
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ENDIF |
| 143 |
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#endif |
| 144 |
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ENDDO |
| 145 |
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ENDDO |
| 146 |
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| 147 |
adcroft |
1.23 |
#ifndef EXCLUDE_DEBUGMODE |
| 148 |
adcroft |
1.24 |
IF (debugMode) THEN |
| 149 |
adcroft |
1.23 |
CALL DEBUG_STATS_RL(1,cg2d_b,'cg2d_b (SOLVE_FOR_PRESSURE)', |
| 150 |
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& myThid) |
| 151 |
adcroft |
1.24 |
ENDIF |
| 152 |
adcroft |
1.23 |
#endif |
| 153 |
adcroft |
1.12 |
|
| 154 |
cnh |
1.1 |
C-- Find the surface pressure using a two-dimensional conjugate |
| 155 |
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C-- gradient solver. |
| 156 |
adcroft |
1.22 |
C see CG2D.h for the interface to this routine. |
| 157 |
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firstResidual=0. |
| 158 |
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lastResidual=0. |
| 159 |
adcroft |
1.19 |
numIters=cg2dMaxIters |
| 160 |
cnh |
1.1 |
CALL CG2D( |
| 161 |
adcroft |
1.22 |
U cg2d_b, |
| 162 |
cnh |
1.6 |
U cg2d_x, |
| 163 |
adcroft |
1.22 |
O firstResidual, |
| 164 |
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O lastResidual, |
| 165 |
adcroft |
1.19 |
U numIters, |
| 166 |
cnh |
1.1 |
I myThid ) |
| 167 |
adcroft |
1.19 |
_EXCH_XY_R8(cg2d_x, myThid ) |
| 168 |
adcroft |
1.23 |
|
| 169 |
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#ifndef EXCLUDE_DEBUGMODE |
| 170 |
adcroft |
1.24 |
IF (debugMode) THEN |
| 171 |
adcroft |
1.23 |
CALL DEBUG_STATS_RL(1,cg2d_x,'cg2d_x (SOLVE_FOR_PRESSURE)', |
| 172 |
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& myThid) |
| 173 |
adcroft |
1.24 |
ENDIF |
| 174 |
adcroft |
1.23 |
#endif |
| 175 |
cnh |
1.1 |
|
| 176 |
adcroft |
1.19 |
_BEGIN_MASTER( myThid ) |
| 177 |
adcroft |
1.25 |
WRITE(msgBuf,'(A34,1PE24.14)') 'cg2d_init_res =',firstResidual |
| 178 |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 179 |
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WRITE(msgBuf,'(A34,I6)') 'cg2d_iters =',numIters |
| 180 |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 181 |
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WRITE(msgBuf,'(A34,1PE24.14)') 'cg2d_res =',lastResidual |
| 182 |
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CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 183 |
adcroft |
1.19 |
_END_MASTER( ) |
| 184 |
jmc |
1.17 |
|
| 185 |
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C-- Transfert the 2D-solution to "etaN" : |
| 186 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 187 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 188 |
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DO j=1-OLy,sNy+OLy |
| 189 |
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DO i=1-OLx,sNx+OLx |
| 190 |
jmc |
1.18 |
etaN(i,j,bi,bj) = recip_Bo(i,j,bi,bj)*cg2d_x(i,j,bi,bj) |
| 191 |
jmc |
1.17 |
ENDDO |
| 192 |
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ENDDO |
| 193 |
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ENDDO |
| 194 |
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ENDDO |
| 195 |
adcroft |
1.10 |
|
| 196 |
adcroft |
1.9 |
#ifdef ALLOW_NONHYDROSTATIC |
| 197 |
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IF ( nonHydrostatic ) THEN |
| 198 |
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| 199 |
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C-- Solve for a three-dimensional pressure term (NH or IGW or both ). |
| 200 |
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C see CG3D.h for the interface to this routine. |
| 201 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 202 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 203 |
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DO j=1,sNy+1 |
| 204 |
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DO i=1,sNx+1 |
| 205 |
jmc |
1.18 |
uf(i,j)=-_recip_dxC(i,j,bi,bj)* |
| 206 |
adcroft |
1.9 |
& (cg2d_x(i,j,bi,bj)-cg2d_x(i-1,j,bi,bj)) |
| 207 |
jmc |
1.18 |
vf(i,j)=-_recip_dyC(i,j,bi,bj)* |
| 208 |
adcroft |
1.9 |
& (cg2d_x(i,j,bi,bj)-cg2d_x(i,j-1,bi,bj)) |
| 209 |
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ENDDO |
| 210 |
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ENDDO |
| 211 |
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| 212 |
adcroft |
1.12 |
#ifdef ALLOW_OBCS |
| 213 |
adcroft |
1.14 |
IF (useOBCS) THEN |
| 214 |
adcroft |
1.9 |
DO i=1,sNx+1 |
| 215 |
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C Northern boundary |
| 216 |
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
| 217 |
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vf(I,OB_Jn(I,bi,bj))=0. |
| 218 |
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ENDIF |
| 219 |
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C Southern boundary |
| 220 |
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IF (OB_Js(I,bi,bj).NE.0) THEN |
| 221 |
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vf(I,OB_Js(I,bi,bj)+1)=0. |
| 222 |
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ENDIF |
| 223 |
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ENDDO |
| 224 |
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DO j=1,sNy+1 |
| 225 |
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C Eastern boundary |
| 226 |
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IF (OB_Ie(J,bi,bj).NE.0) THEN |
| 227 |
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uf(OB_Ie(J,bi,bj),J)=0. |
| 228 |
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ENDIF |
| 229 |
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C Western boundary |
| 230 |
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IF (OB_Iw(J,bi,bj).NE.0) THEN |
| 231 |
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uf(OB_Iw(J,bi,bj)+1,J)=0. |
| 232 |
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ENDIF |
| 233 |
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ENDDO |
| 234 |
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ENDIF |
| 235 |
adcroft |
1.12 |
#endif |
| 236 |
adcroft |
1.9 |
|
| 237 |
adcroft |
1.12 |
K=1 |
| 238 |
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DO j=1,sNy |
| 239 |
|
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DO i=1,sNx |
| 240 |
|
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cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 241 |
|
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& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 242 |
|
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& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 243 |
|
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& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 244 |
|
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& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 245 |
jmc |
1.18 |
& +( freeSurfFac*etaN(i,j,bi,bj)/deltaTMom |
| 246 |
|
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& -wVel(i,j,k+1,bi,bj) |
| 247 |
adcroft |
1.12 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 248 |
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ENDDO |
| 249 |
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ENDDO |
| 250 |
|
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DO K=2,Nr-1 |
| 251 |
adcroft |
1.9 |
DO j=1,sNy |
| 252 |
|
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DO i=1,sNx |
| 253 |
|
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cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 254 |
|
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& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 255 |
|
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& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 256 |
|
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& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 257 |
|
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& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 258 |
adcroft |
1.12 |
& +( wVel(i,j,k ,bi,bj) |
| 259 |
|
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& -wVel(i,j,k+1,bi,bj) |
| 260 |
|
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& )*_rA(i,j,bi,bj)/deltaTmom |
| 261 |
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| 262 |
adcroft |
1.9 |
ENDDO |
| 263 |
|
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ENDDO |
| 264 |
|
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ENDDO |
| 265 |
adcroft |
1.12 |
K=Nr |
| 266 |
|
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DO j=1,sNy |
| 267 |
|
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DO i=1,sNx |
| 268 |
|
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cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 269 |
|
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& +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 270 |
|
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& -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 271 |
|
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& +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 272 |
|
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& -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 273 |
|
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& +( wVel(i,j,k ,bi,bj) |
| 274 |
|
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& )*_rA(i,j,bi,bj)/deltaTmom |
| 275 |
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| 276 |
|
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ENDDO |
| 277 |
|
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ENDDO |
| 278 |
|
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| 279 |
|
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#ifdef ALLOW_OBCS |
| 280 |
adcroft |
1.14 |
IF (useOBCS) THEN |
| 281 |
adcroft |
1.12 |
DO K=1,Nr |
| 282 |
|
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DO i=1,sNx |
| 283 |
|
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C Northern boundary |
| 284 |
|
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
| 285 |
|
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cg3d_b(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
| 286 |
|
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ENDIF |
| 287 |
|
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C Southern boundary |
| 288 |
|
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IF (OB_Js(I,bi,bj).NE.0) THEN |
| 289 |
|
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cg3d_b(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
| 290 |
|
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ENDIF |
| 291 |
|
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ENDDO |
| 292 |
|
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DO j=1,sNy |
| 293 |
|
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C Eastern boundary |
| 294 |
|
|
IF (OB_Ie(J,bi,bj).NE.0) THEN |
| 295 |
|
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cg3d_b(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
| 296 |
|
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ENDIF |
| 297 |
|
|
C Western boundary |
| 298 |
|
|
IF (OB_Iw(J,bi,bj).NE.0) THEN |
| 299 |
|
|
cg3d_b(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
| 300 |
|
|
ENDIF |
| 301 |
|
|
ENDDO |
| 302 |
|
|
ENDDO |
| 303 |
|
|
ENDIF |
| 304 |
|
|
#endif |
| 305 |
adcroft |
1.9 |
|
| 306 |
|
|
ENDDO ! bi |
| 307 |
|
|
ENDDO ! bj |
| 308 |
|
|
|
| 309 |
adcroft |
1.25 |
firstResidual=0. |
| 310 |
|
|
lastResidual=0. |
| 311 |
|
|
numIters=cg2dMaxIters |
| 312 |
|
|
CALL CG3D( |
| 313 |
|
|
U cg3d_b, |
| 314 |
|
|
U phi_nh, |
| 315 |
|
|
O firstResidual, |
| 316 |
|
|
O lastResidual, |
| 317 |
|
|
U numIters, |
| 318 |
|
|
I myThid ) |
| 319 |
|
|
_EXCH_XYZ_R8(phi_nh, myThid ) |
| 320 |
|
|
|
| 321 |
|
|
_BEGIN_MASTER( myThid ) |
| 322 |
|
|
WRITE(msgBuf,'(A34,1PE24.14)') 'cg3d_init_res =',firstResidual |
| 323 |
|
|
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 324 |
|
|
WRITE(msgBuf,'(A34,I6)') 'cg3d_iters =',numIters |
| 325 |
|
|
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 326 |
|
|
WRITE(msgBuf,'(A34,1PE24.14)') 'cg3d_res =',lastResidual |
| 327 |
|
|
CALL PRINT_MESSAGE(msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 328 |
|
|
_END_MASTER( ) |
| 329 |
adcroft |
1.9 |
|
| 330 |
|
|
ENDIF |
| 331 |
|
|
#endif |
| 332 |
cnh |
1.1 |
|
| 333 |
|
|
RETURN |
| 334 |
|
|
END |
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