| 1 |
C $Header: /u/gcmpack/MITgcm/model/src/pre_cg3d.F,v 1.2 2010/01/23 00:04:03 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "PACKAGES_CONFIG.h" |
| 5 |
#include "CPP_OPTIONS.h" |
| 6 |
|
| 7 |
CBOP |
| 8 |
C !ROUTINE: PRE_CG3D |
| 9 |
C !INTERFACE: |
| 10 |
SUBROUTINE PRE_CG3D( |
| 11 |
I oldFreeSurfTerm, |
| 12 |
I cg2d_x, |
| 13 |
U cg3d_b, |
| 14 |
I myTime, myIter, myThid ) |
| 15 |
|
| 16 |
C !DESCRIPTION: |
| 17 |
C Called from SOLVE_FOR_PRESSURE, before 3-D solver (cg3d): |
| 18 |
C Finish calculation of 3-D RHS after 2-D inversionis done. |
| 19 |
|
| 20 |
C !USES: |
| 21 |
IMPLICIT NONE |
| 22 |
C == Global variables |
| 23 |
#include "SIZE.h" |
| 24 |
#include "EEPARAMS.h" |
| 25 |
#include "PARAMS.h" |
| 26 |
#include "GRID.h" |
| 27 |
#include "SURFACE.h" |
| 28 |
#include "FFIELDS.h" |
| 29 |
#include "DYNVARS.h" |
| 30 |
#ifdef ALLOW_NONHYDROSTATIC |
| 31 |
#include "NH_VARS.h" |
| 32 |
#endif |
| 33 |
|
| 34 |
C === Functions ==== |
| 35 |
c LOGICAL DIFFERENT_MULTIPLE |
| 36 |
c EXTERNAL DIFFERENT_MULTIPLE |
| 37 |
|
| 38 |
C !INPUT/OUTPUT PARAMETERS: |
| 39 |
C == Routine arguments == |
| 40 |
C oldFreeSurfTerm :: Treat free-surface term in the old way (no exactConserv) |
| 41 |
C cg2d_x :: Solution vector of the 2-D solver equation a.x=b |
| 42 |
C cg3d_b :: Right Hand side vector of the 3-D solver equation A.X=B |
| 43 |
C myTime :: Current time in simulation |
| 44 |
C myIter :: Current iteration number in simulation |
| 45 |
C myThid :: My Thread Id number |
| 46 |
LOGICAL oldFreeSurfTerm |
| 47 |
_RL cg2d_x(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 48 |
_RL cg3d_b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 49 |
_RL myTime |
| 50 |
INTEGER myIter |
| 51 |
INTEGER myThid |
| 52 |
|
| 53 |
#ifdef ALLOW_NONHYDROSTATIC |
| 54 |
C !LOCAL VARIABLES: |
| 55 |
C == Local variables == |
| 56 |
INTEGER i,j,k,bi,bj |
| 57 |
INTEGER ks, kp1 |
| 58 |
c CHARACTER*10 sufx |
| 59 |
c CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 60 |
_RL tmpFac, tmpSurf |
| 61 |
_RL wFacKm, wFacKp |
| 62 |
_RL uf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 63 |
_RL vf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 64 |
#ifdef NONLIN_FRSURF |
| 65 |
_RL tmpVar(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 66 |
#endif |
| 67 |
CEOP |
| 68 |
|
| 69 |
c IF ( use3Dsolver ) THEN |
| 70 |
|
| 71 |
C-- Solve for a three-dimensional pressure term (NH or IGW or both ). |
| 72 |
C see CG3D.h for the interface to this routine. |
| 73 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 74 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 75 |
|
| 76 |
C-- Add EmPmR contribution to top level cg3d_b: |
| 77 |
C (has been done for cg2d_b ; and addMass was added by CALC_DIV_GHAT) |
| 78 |
IF ( useRealFreshWaterFlux.AND.fluidIsWater ) THEN |
| 79 |
tmpFac = freeSurfFac*mass2rUnit |
| 80 |
IF (exactConserv) |
| 81 |
& tmpFac = freeSurfFac*mass2rUnit*implicDiv2DFlow |
| 82 |
ks = 1 |
| 83 |
IF ( usingPCoords ) ks = Nr |
| 84 |
DO j=1,sNy |
| 85 |
DO i=1,sNx |
| 86 |
cg3d_b(i,j,ks,bi,bj) = cg3d_b(i,j,ks,bi,bj) |
| 87 |
& + tmpFac*_rA(i,j,bi,bj)*EmPmR(i,j,bi,bj)/deltaTMom |
| 88 |
ENDDO |
| 89 |
ENDDO |
| 90 |
ENDIF |
| 91 |
|
| 92 |
C-- Update or Add free-surface contribution to cg3d_b: |
| 93 |
c IF ( select_rStar.EQ.0 .AND. exactConserv ) THEN |
| 94 |
IF ( select_rStar.EQ.0 .AND. .NOT.oldFreeSurfTerm ) THEN |
| 95 |
tmpFac = 0. |
| 96 |
DO j=1,sNy |
| 97 |
DO i=1,sNx |
| 98 |
IF ( selectNHfreeSurf.GE.1 ) THEN |
| 99 |
tmpSurf = deltaTMom*deltaTfreesurf |
| 100 |
& *Bo_surf(i,j,bi,bj)*recip_drC(1) |
| 101 |
& *implicitNHPress*implicDiv2DFlow |
| 102 |
tmpSurf = ( tmpSurf*( etaN(i,j,bi,bj)-etaH(i,j,bi,bj) ) |
| 103 |
& +implicDiv2DFlow*deltaTfreesurf |
| 104 |
c & *(wVel(i,j,1,bi,bj)+PmE) |
| 105 |
& *wVel(i,j,1,bi,bj) |
| 106 |
& )/(1. _d 0 + tmpSurf ) |
| 107 |
ELSE |
| 108 |
tmpSurf = etaN(i,j,bi,bj)-etaH(i,j,bi,bj) |
| 109 |
ENDIF |
| 110 |
ks = ksurfC(i,j,bi,bj) |
| 111 |
IF ( ks.LE.Nr ) THEN |
| 112 |
cg3d_b(i,j,ks,bi,bj) = cg3d_b(i,j,ks,bi,bj) |
| 113 |
& +freeSurfFac*tmpSurf |
| 114 |
c & +freeSurfFac*(etaN(i,j,bi,bj)-etaH(i,j,bi,bj)) |
| 115 |
& *_rA(i,j,bi,bj)*deepFac2F(ks) |
| 116 |
& /deltaTMom/deltaTfreesurf |
| 117 |
ENDIF |
| 118 |
ENDDO |
| 119 |
ENDDO |
| 120 |
#ifdef NONLIN_FRSURF |
| 121 |
ELSEIF ( select_rStar.NE.0 ) THEN |
| 122 |
tmpFac = 0. |
| 123 |
DO j=1,sNy |
| 124 |
DO i=1,sNx |
| 125 |
ks = ksurfC(i,j,bi,bj) |
| 126 |
tmpVar(i,j) = freeSurfFac |
| 127 |
& *( etaN(i,j,bi,bj) - etaH(i,j,bi,bj) ) |
| 128 |
& *_rA(i,j,bi,bj)*deepFac2F(ks) |
| 129 |
& /deltaTMom/deltaTfreesurf |
| 130 |
& *recip_Rcol(i,j,bi,bj) |
| 131 |
ENDDO |
| 132 |
ENDDO |
| 133 |
DO k=1,Nr |
| 134 |
DO j=1,sNy |
| 135 |
DO i=1,sNx |
| 136 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 137 |
& + tmpVar(i,j)*drF(k)*h0FacC(i,j,k,bi,bj) |
| 138 |
ENDDO |
| 139 |
ENDDO |
| 140 |
ENDDO |
| 141 |
#endif /* NONLIN_FRSURF */ |
| 142 |
ELSEIF ( usingZCoords ) THEN |
| 143 |
C- Z coordinate: assume surface @ level k=1 |
| 144 |
tmpFac = freeSurfFac*deepFac2F(1) |
| 145 |
ELSE |
| 146 |
C- Other than Z coordinate: no assumption on surface level index |
| 147 |
tmpFac = 0. |
| 148 |
DO j=1,sNy |
| 149 |
DO i=1,sNx |
| 150 |
ks = ksurfC(i,j,bi,bj) |
| 151 |
IF ( ks.LE.Nr ) THEN |
| 152 |
cg3d_b(i,j,ks,bi,bj) = cg3d_b(i,j,ks,bi,bj) |
| 153 |
& +freeSurfFac*etaN(i,j,bi,bj)/deltaTfreesurf |
| 154 |
& *_rA(i,j,bi,bj)*deepFac2F(ks)/deltaTmom |
| 155 |
ENDIF |
| 156 |
ENDDO |
| 157 |
ENDDO |
| 158 |
ENDIF |
| 159 |
|
| 160 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 161 |
|
| 162 |
C-- Finish updating cg3d_b: 1) increment in horiz velocity due to new cg2d_x |
| 163 |
C 2) add vertical velocity contribution. |
| 164 |
DO j=1,sNy+1 |
| 165 |
DO i=1,sNx+1 |
| 166 |
uf(i,j) = -_recip_dxC(i,j,bi,bj) |
| 167 |
& * implicSurfPress*implicDiv2DFlow |
| 168 |
& *(cg2d_x(i,j,bi,bj)-cg2d_x(i-1,j,bi,bj)) |
| 169 |
#ifdef ALLOW_OBCS |
| 170 |
& *maskInC(i,j,bi,bj)*maskInC(i-1,j,bi,bj) |
| 171 |
#endif |
| 172 |
vf(i,j) = -_recip_dyC(i,j,bi,bj) |
| 173 |
& * implicSurfPress*implicDiv2DFlow |
| 174 |
& *(cg2d_x(i,j,bi,bj)-cg2d_x(i,j-1,bi,bj)) |
| 175 |
#ifdef ALLOW_OBCS |
| 176 |
& *maskInC(i,j,bi,bj)*maskInC(i,j-1,bi,bj) |
| 177 |
#endif |
| 178 |
ENDDO |
| 179 |
ENDDO |
| 180 |
|
| 181 |
C Note: with implicDiv2DFlow < 1, wVel contribution to cg3d_b is similar to |
| 182 |
C uVel,vVel contribution to cg2d_b when exactConserv=T, since wVel is |
| 183 |
C always recomputed from continuity eq (like eta when exactConserv=T) |
| 184 |
k=1 |
| 185 |
kp1 = MIN(k+1,Nr) |
| 186 |
wFacKp = implicDiv2DFlow*deepFac2F(kp1)*rhoFacF(kp1) |
| 187 |
IF (k.GE.Nr) wFacKp = 0. |
| 188 |
DO j=1,sNy |
| 189 |
DO i=1,sNx |
| 190 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 191 |
& +drF(k)*dyG(i+1,j,bi,bj)*_hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 192 |
& -drF(k)*dyG( i ,j,bi,bj)*_hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 193 |
& +drF(k)*dxG(i,j+1,bi,bj)*_hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 194 |
& -drF(k)*dxG(i, j ,bi,bj)*_hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 195 |
& +( tmpFac*etaN(i,j,bi,bj)/deltaTfreesurf |
| 196 |
& -wVel(i,j,kp1,bi,bj)*wFacKp |
| 197 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 198 |
ENDDO |
| 199 |
ENDDO |
| 200 |
DO k=2,Nr |
| 201 |
kp1 = MIN(k+1,Nr) |
| 202 |
C- deepFac & rhoFac cancel with the ones in uf[=del_i(Phi)/dx],vf ; |
| 203 |
C both appear in wVel term, but at 2 different levels |
| 204 |
wFacKm = implicDiv2DFlow*deepFac2F( k )*rhoFacF( k ) |
| 205 |
wFacKp = implicDiv2DFlow*deepFac2F(kp1)*rhoFacF(kp1) |
| 206 |
IF (k.GE.Nr) wFacKp = 0. |
| 207 |
DO j=1,sNy |
| 208 |
DO i=1,sNx |
| 209 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 210 |
& +drF(k)*dyG(i+1,j,bi,bj)*_hFacW(i+1,j,k,bi,bj)*uf(i+1,j) |
| 211 |
& -drF(k)*dyG( i ,j,bi,bj)*_hFacW( i ,j,k,bi,bj)*uf( i ,j) |
| 212 |
& +drF(k)*dxG(i,j+1,bi,bj)*_hFacS(i,j+1,k,bi,bj)*vf(i,j+1) |
| 213 |
& -drF(k)*dxG(i, j ,bi,bj)*_hFacS(i, j ,k,bi,bj)*vf(i, j ) |
| 214 |
& +( wVel(i,j, k ,bi,bj)*wFacKm*maskC(i,j,k-1,bi,bj) |
| 215 |
& -wVel(i,j,kp1,bi,bj)*wFacKp |
| 216 |
& )*_rA(i,j,bi,bj)/deltaTmom |
| 217 |
ENDDO |
| 218 |
ENDDO |
| 219 |
ENDDO |
| 220 |
|
| 221 |
#ifdef ALLOW_OBCS |
| 222 |
C- Note: solver matrix is trivial outside OB region (main diagonal only) |
| 223 |
C => no real need to reset RHS (=cg3d_b) & cg3d_x, except that: |
| 224 |
C a) normalisation is fct of Max(RHS), which can be large ouside OB region |
| 225 |
C (would be different if we were solving for increment of phi_nh |
| 226 |
C instead of directly for phi_nh). |
| 227 |
C => need to reset RHS to ensure that interior solution does not depend |
| 228 |
C on ouside OB region. |
| 229 |
C b) provide directly the trivial solution cg3d_x == 0 for outside OB region |
| 230 |
C (=> no residual => no effect on solver convergence and interior solution) |
| 231 |
IF (useOBCS) THEN |
| 232 |
DO k=1,Nr |
| 233 |
DO j=1,sNy |
| 234 |
DO i=1,sNx |
| 235 |
cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj) |
| 236 |
& *maskInC(i,j,bi,bj) |
| 237 |
phi_nh(i,j,k,bi,bj) = phi_nh(i,j,k,bi,bj) |
| 238 |
& *maskInC(i,j,bi,bj) |
| 239 |
ENDDO |
| 240 |
ENDDO |
| 241 |
ENDDO |
| 242 |
ENDIF |
| 243 |
#endif /* ALLOW_OBCS */ |
| 244 |
|
| 245 |
C- end bi,bj loops |
| 246 |
ENDDO |
| 247 |
ENDDO |
| 248 |
|
| 249 |
c ENDIF |
| 250 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 251 |
|
| 252 |
RETURN |
| 253 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph