| 1 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/ini_cg2d.F,v 1.34 2001/05/29 14:01:37 adcroft Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "CPP_OPTIONS.h" |
| 5 |
|
| 6 |
SUBROUTINE INI_CG2D( myThid ) |
| 7 |
C /==========================================================\ |
| 8 |
C | SUBROUTINE INI_CG2D | |
| 9 |
C | o Initialise 2d conjugate gradient solver operators. | |
| 10 |
C |==========================================================| |
| 11 |
C | These arrays are purely a function of the basin geom. | |
| 12 |
C | We set then here once and them use then repeatedly. | |
| 13 |
C \==========================================================/ |
| 14 |
IMPLICIT NONE |
| 15 |
|
| 16 |
C === Global variables === |
| 17 |
#include "SIZE.h" |
| 18 |
#include "EEPARAMS.h" |
| 19 |
#include "PARAMS.h" |
| 20 |
#include "GRID.h" |
| 21 |
c#include "DYNVARS.h" |
| 22 |
#include "SURFACE.h" |
| 23 |
#include "CG2D.h" |
| 24 |
#ifdef ALLOW_OBCS |
| 25 |
#include "OBCS.h" |
| 26 |
#endif |
| 27 |
|
| 28 |
C === Routine arguments === |
| 29 |
C myThid - Thread no. that called this routine. |
| 30 |
INTEGER myThid |
| 31 |
|
| 32 |
C === Local variables === |
| 33 |
C xG, yG - Global coordinate location. |
| 34 |
C zG |
| 35 |
C iG, jG - Global coordinate index |
| 36 |
C bi,bj - Loop counters |
| 37 |
C faceArea - Temporary used to hold cell face areas. |
| 38 |
C I,J,K |
| 39 |
C myNorm - Work variable used in calculating normalisation factor |
| 40 |
C sumArea - Work variable used to compute the total Domain Area |
| 41 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 42 |
INTEGER bi, bj |
| 43 |
INTEGER I, J, K |
| 44 |
_RL faceArea |
| 45 |
_RS myNorm |
| 46 |
_RL sumArea |
| 47 |
_RL aC, aCw, aCs |
| 48 |
|
| 49 |
C-- Initialise -Boyancy at surface level : Bo_surf |
| 50 |
C Bo_surf is defined as d/dr(Phi_surf) and set to g/rtoz (linear free surface) |
| 51 |
C with rtoz = conversion factor from r-unit to z-unit (=horiVertRatio) |
| 52 |
C an acurate formulation will include P_surf and T,S_surf effects on rho_surf: |
| 53 |
C z-ocean (rtoz=1) : Bo_surf = - Boyancy = gravity * rho_surf/rho_0 |
| 54 |
C p-atmos (rtoz=rho_c*g) : Bo_surf = (1/rho)_surf |
| 55 |
C-- |
| 56 |
IF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN |
| 57 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 58 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 59 |
DO J=1-Oly,sNy+Oly |
| 60 |
DO I=1-Olx,sNx+Olx |
| 61 |
Bo_surf(I,J,bi,bj) = recip_rhoConst |
| 62 |
recip_Bo(I,J,bi,bj) = rhoConst |
| 63 |
ENDDO |
| 64 |
ENDDO |
| 65 |
ENDDO |
| 66 |
ENDDO |
| 67 |
ELSE |
| 68 |
C- gBaro = gravity (except for External mode test with reduced gravity) |
| 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 |
Bo_surf(I,J,bi,bj) = gBaro |
| 74 |
recip_Bo(I,J,bi,bj) = 1. _d 0 / gBaro |
| 75 |
ENDDO |
| 76 |
ENDDO |
| 77 |
ENDDO |
| 78 |
ENDDO |
| 79 |
ENDIF |
| 80 |
|
| 81 |
C-- Update overlap regions |
| 82 |
_EXCH_XY_R8(Bo_surf, myThid) |
| 83 |
_EXCH_XY_R8(recip_Bo, myThid) |
| 84 |
|
| 85 |
C-- Initialise laplace operator |
| 86 |
C aW2d: integral in Z Ax/dX |
| 87 |
C aS2d: integral in Z Ay/dY |
| 88 |
myNorm = 0. _d 0 |
| 89 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 90 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 91 |
DO J=1,sNy |
| 92 |
DO I=1,sNx |
| 93 |
aW2d(I,J,bi,bj) = 0. _d 0 |
| 94 |
aS2d(I,J,bi,bj) = 0. _d 0 |
| 95 |
ENDDO |
| 96 |
ENDDO |
| 97 |
DO K=1,Nr |
| 98 |
DO J=1,sNy |
| 99 |
DO I=1,sNx |
| 100 |
faceArea = _dyG(I,J,bi,bj)*drF(K) |
| 101 |
& *_hFacW(I,J,K,bi,bj) |
| 102 |
aW2d(I,J,bi,bj) = aW2d(I,J,bi,bj) + |
| 103 |
& implicSurfPress*implicDiv2DFlow |
| 104 |
& *faceArea*recip_dxC(I,J,bi,bj) |
| 105 |
faceArea = _dxG(I,J,bi,bj)*drF(K) |
| 106 |
& *_hFacS(I,J,K,bi,bj) |
| 107 |
aS2d(I,J,bi,bj) = aS2d(I,J,bi,bj) + |
| 108 |
& implicSurfPress*implicDiv2DFlow |
| 109 |
& *faceArea*recip_dyC(I,J,bi,bj) |
| 110 |
ENDDO |
| 111 |
ENDDO |
| 112 |
ENDDO |
| 113 |
#ifdef ALLOW_OBCS |
| 114 |
IF (useOBCS) THEN |
| 115 |
DO I=1,sNx |
| 116 |
IF (OB_Jn(I,bi,bj).NE.0) aS2d(I,OB_Jn(I,bi,bj),bi,bj)=0. |
| 117 |
IF (OB_Jn(I,bi,bj).NE.0) aS2d(I,OB_Jn(I,bi,bj)+1,bi,bj)=0. |
| 118 |
IF (OB_Js(I,bi,bj).NE.0) aS2d(I,OB_Js(I,bi,bj)+1,bi,bj)=0. |
| 119 |
IF (OB_Js(I,bi,bj).NE.0) aS2d(I,OB_Js(I,bi,bj),bi,bj)=0. |
| 120 |
ENDDO |
| 121 |
DO J=1,sNy |
| 122 |
IF (OB_Ie(J,bi,bj).NE.0) aW2d(OB_Ie(J,bi,bj),J,bi,bj)=0. |
| 123 |
IF (OB_Ie(J,bi,bj).NE.0) aW2d(OB_Ie(J,bi,bj)+1,J,bi,bj)=0. |
| 124 |
IF (OB_Iw(J,bi,bj).NE.0) aW2d(OB_Iw(J,bi,bj)+1,J,bi,bj)=0. |
| 125 |
IF (OB_Iw(J,bi,bj).NE.0) aW2d(OB_Iw(J,bi,bj),J,bi,bj)=0. |
| 126 |
ENDDO |
| 127 |
ENDIF |
| 128 |
#endif |
| 129 |
DO J=1,sNy |
| 130 |
DO I=1,sNx |
| 131 |
myNorm = MAX(ABS(aW2d(I,J,bi,bj)),myNorm) |
| 132 |
myNorm = MAX(ABS(aS2d(I,J,bi,bj)),myNorm) |
| 133 |
ENDDO |
| 134 |
ENDDO |
| 135 |
ENDDO |
| 136 |
ENDDO |
| 137 |
_GLOBAL_MAX_R4( myNorm, myThid ) |
| 138 |
IF ( myNorm .NE. 0. _d 0 ) THEN |
| 139 |
myNorm = 1. _d 0/myNorm |
| 140 |
ELSE |
| 141 |
myNorm = 1. _d 0 |
| 142 |
ENDIF |
| 143 |
cg2dNorm = myNorm |
| 144 |
_BEGIN_MASTER( myThid ) |
| 145 |
CcnhDebugStarts |
| 146 |
WRITE(msgBuf,'(A,E40.25)') '// CG2D normalisation factor = ', |
| 147 |
& cg2dNorm |
| 148 |
CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 149 |
WRITE(msgBuf,*) ' ' |
| 150 |
CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
| 151 |
CcnhDebugEnds |
| 152 |
_END_MASTER( myThid ) |
| 153 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 154 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 155 |
DO J=1,sNy |
| 156 |
DO I=1,sNx |
| 157 |
aW2d(I,J,bi,bj) = aW2d(I,J,bi,bj)*myNorm |
| 158 |
aS2d(I,J,bi,bj) = aS2d(I,J,bi,bj)*myNorm |
| 159 |
ENDDO |
| 160 |
ENDDO |
| 161 |
ENDDO |
| 162 |
ENDDO |
| 163 |
|
| 164 |
C-- Update overlap regions |
| 165 |
CcnhDebugStarts |
| 166 |
C CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.1' , 1, myThid ) |
| 167 |
C CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.1' , 1, myThid ) |
| 168 |
CcnhDebugEnds |
| 169 |
c _EXCH_XY_R4(aW2d, myThid) |
| 170 |
c _EXCH_XY_R4(aS2d, myThid) |
| 171 |
CALL EXCH_UV_XY_RS(aW2d,aS2d,.FALSE.,myThid) |
| 172 |
CcnhDebugStarts |
| 173 |
C CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.2' , 1, myThid ) |
| 174 |
C CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.2' , 1, myThid ) |
| 175 |
CcnhDebugEnds |
| 176 |
|
| 177 |
C-- Define the solver tolerance in the appropriate Unit : |
| 178 |
cg2dNormaliseRHS = cg2dTargetResWunit.LE.0 |
| 179 |
IF (cg2dNormaliseRHS) THEN |
| 180 |
C- when using a normalisation of RHS, tolerance has no unit => no conversion |
| 181 |
cg2dTolerance = cg2dTargetResidual |
| 182 |
ELSE |
| 183 |
C- compute the total Area of the domain : |
| 184 |
sumArea = 0. |
| 185 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 186 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 187 |
DO j=1,sNy |
| 188 |
DO i=1,sNx |
| 189 |
IF (Ro_surf(i,j,bi,bj).GT.R_low(i,j,bi,bj)) THEN |
| 190 |
sumArea = sumArea + rA(i,j,bi,bj) |
| 191 |
ENDIF |
| 192 |
ENDDO |
| 193 |
ENDDO |
| 194 |
ENDDO |
| 195 |
ENDDO |
| 196 |
c WRITE(*,*) ' mythid, sumArea = ', mythid, sumArea |
| 197 |
_GLOBAL_SUM_R8( sumArea, myThid ) |
| 198 |
C- convert Target-Residual (in W unit) to cg2d-solver residual unit [m^2/s^2] |
| 199 |
cg2dTolerance = cg2dNorm * cg2dTargetResWunit |
| 200 |
& * sumArea / deltaTMom |
| 201 |
WRITE(*,'(2A,1P2E22.14)') ' ini_cg2d: ', |
| 202 |
& 'sumArea,cg2dTolerance =', sumArea,cg2dTolerance |
| 203 |
ENDIF |
| 204 |
|
| 205 |
C-- Initialise preconditioner |
| 206 |
C Note. 20th May 1998 |
| 207 |
C I made a weird discovery! In the model paper we argue |
| 208 |
C for the form of the preconditioner used here ( see |
| 209 |
C A Finite-volume, Incompressible Navier-Stokes Model |
| 210 |
C ...., Marshall et. al ). The algebra gives a simple |
| 211 |
C 0.5 factor for the averaging of ac and aCw to get a |
| 212 |
C symmettric pre-conditioner. By using a factor of 0.51 |
| 213 |
C i.e. scaling the off-diagonal terms in the |
| 214 |
C preconditioner down slightly I managed to get the |
| 215 |
C number of iterations for convergence in a test case to |
| 216 |
C drop form 192 -> 134! Need to investigate this further! |
| 217 |
C For now I have introduced a parameter cg2dpcOffDFac which |
| 218 |
C defaults to 0.51 but can be set at runtime. |
| 219 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 220 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 221 |
DO J=1,sNy |
| 222 |
DO I=1,sNx |
| 223 |
pC(I,J,bi,bj) = 1. _d 0 |
| 224 |
aC = -( |
| 225 |
& aW2d(I,J,bi,bj) + aW2d(I+1,J ,bi,bj) |
| 226 |
& +aS2d(I,J,bi,bj) + aS2d(I ,J+1,bi,bj) |
| 227 |
& +freeSurfFac*myNorm*recip_Bo(I,J,bi,bj)* |
| 228 |
& rA(I,J,bi,bj)/deltaTMom/deltaTMom |
| 229 |
& ) |
| 230 |
aCs = -( |
| 231 |
& aW2d(I,J-1,bi,bj) + aW2d(I+1,J-1,bi,bj) |
| 232 |
& +aS2d(I,J-1,bi,bj) + aS2d(I ,J ,bi,bj) |
| 233 |
& +freeSurfFac*myNorm*recip_Bo(I,J-1,bi,bj)* |
| 234 |
& rA(I,J-1,bi,bj)/deltaTMom/deltaTMom |
| 235 |
& ) |
| 236 |
aCw = -( |
| 237 |
& aW2d(I-1,J,bi,bj) + aW2d(I ,J ,bi,bj) |
| 238 |
& +aS2d(I-1,J,bi,bj) + aS2d(I-1,J+1,bi,bj) |
| 239 |
& +freeSurfFac*myNorm*recip_Bo(I-1,J,bi,bj)* |
| 240 |
& rA(I-1,J,bi,bj)/deltaTMom/deltaTMom |
| 241 |
& ) |
| 242 |
IF ( aC .EQ. 0. ) THEN |
| 243 |
pC(I,J,bi,bj) = 1. _d 0 |
| 244 |
ELSE |
| 245 |
pC(I,J,bi,bj) = 1. _d 0 / aC |
| 246 |
ENDIF |
| 247 |
IF ( aC + aCw .EQ. 0. ) THEN |
| 248 |
pW(I,J,bi,bj) = 0. |
| 249 |
ELSE |
| 250 |
pW(I,J,bi,bj) = |
| 251 |
& -aW2d(I ,J ,bi,bj)/((cg2dpcOffDFac *(aCw+aC))**2 ) |
| 252 |
ENDIF |
| 253 |
IF ( aC + aCs .EQ. 0. ) THEN |
| 254 |
pS(I,J,bi,bj) = 0. |
| 255 |
ELSE |
| 256 |
pS(I,J,bi,bj) = |
| 257 |
& -aS2d(I ,J ,bi,bj)/((cg2dpcOffDFac *(aCs+aC))**2 ) |
| 258 |
ENDIF |
| 259 |
C pC(I,J,bi,bj) = 1. |
| 260 |
C pW(I,J,bi,bj) = 0. |
| 261 |
C pS(I,J,bi,bj) = 0. |
| 262 |
ENDDO |
| 263 |
ENDDO |
| 264 |
ENDDO |
| 265 |
ENDDO |
| 266 |
C-- Update overlap regions |
| 267 |
_EXCH_XY_R4(pC, myThid) |
| 268 |
c _EXCH_XY_R4(pW, myThid) |
| 269 |
c _EXCH_XY_R4(pS, myThid) |
| 270 |
CALL EXCH_UV_XY_RS(pW,pS,.FALSE.,myThid) |
| 271 |
CcnhDebugStarts |
| 272 |
C CALL PLOT_FIELD_XYRS( pC, 'pC INI_CG2D.2' , 1, myThid ) |
| 273 |
C CALL PLOT_FIELD_XYRS( pW, 'pW INI_CG2D.2' , 1, myThid ) |
| 274 |
C CALL PLOT_FIELD_XYRS( pS, 'pS INI_CG2D.2' , 1, myThid ) |
| 275 |
CcnhDebugEnds |
| 276 |
|
| 277 |
RETURN |
| 278 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph