| 1 |
C $Header: /u/gcmpack/MITgcm/model/src/ini_cg3d.F,v 1.29 2016/05/04 22:09:54 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "PACKAGES_CONFIG.h" |
| 5 |
#include "CPP_OPTIONS.h" |
| 6 |
|
| 7 |
CBOP |
| 8 |
C !ROUTINE: INI_CG3D |
| 9 |
C !INTERFACE: |
| 10 |
SUBROUTINE INI_CG3D( myThid ) |
| 11 |
C !DESCRIPTION: \bv |
| 12 |
C *==========================================================* |
| 13 |
C | SUBROUTINE INI_CG3D |
| 14 |
C | o Initialise 3d conjugate gradient solver operators. |
| 15 |
C *==========================================================* |
| 16 |
C | These arrays are purely a function of the basin geom. |
| 17 |
C | We set then here once and them use then repeatedly. |
| 18 |
C *==========================================================* |
| 19 |
C \ev |
| 20 |
|
| 21 |
C !USES: |
| 22 |
IMPLICIT NONE |
| 23 |
C === Global variables === |
| 24 |
#include "SIZE.h" |
| 25 |
#include "EEPARAMS.h" |
| 26 |
#include "PARAMS.h" |
| 27 |
#include "GRID.h" |
| 28 |
#include "SURFACE.h" |
| 29 |
#include "CG3D.h" |
| 30 |
#include "SOLVE_FOR_PRESSURE3D.h" |
| 31 |
|
| 32 |
C !INPUT/OUTPUT PARAMETERS: |
| 33 |
C === Routine arguments === |
| 34 |
C myThid :: My Thread Id number |
| 35 |
INTEGER myThid |
| 36 |
|
| 37 |
#ifdef ALLOW_NONHYDROSTATIC |
| 38 |
|
| 39 |
C !LOCAL VARIABLES: |
| 40 |
C === Local variables === |
| 41 |
C bi,bj :: tile indices |
| 42 |
C i,j,k :: Loop counters |
| 43 |
C faceArea :: Temporary used to hold cell face areas. |
| 44 |
C myNorm :: Work variable used in clculating normalisation factor |
| 45 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 46 |
INTEGER bi, bj |
| 47 |
INTEGER i, j, k, ks |
| 48 |
_RL faceArea |
| 49 |
_RS myNorm |
| 50 |
_RL theRecip_Dr |
| 51 |
_RL aU, aL, aW, aE, aN, aS |
| 52 |
_RL tmpFac, nh_Fac, igwFac |
| 53 |
_RL locGamma |
| 54 |
CEOP |
| 55 |
|
| 56 |
CcnhDebugStarts |
| 57 |
c _RL phi(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 58 |
CcnhDebugEnds |
| 59 |
|
| 60 |
C-- Initialise to zero over the full range of indices |
| 61 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 62 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 63 |
DO k=1,Nr |
| 64 |
C- From common bloc CG3D_R: |
| 65 |
DO j=1-OLy,sNy+OLy |
| 66 |
DO i=1-OLx,sNx+OLx |
| 67 |
aW3d(i,j,k,bi,bj) = 0. |
| 68 |
aS3d(i,j,k,bi,bj) = 0. |
| 69 |
aV3d(i,j,k,bi,bj) = 0. |
| 70 |
aC3d(i,j,k,bi,bj) = 0. |
| 71 |
zMC (i,j,k,bi,bj) = 0. |
| 72 |
zML (i,j,k,bi,bj) = 0. |
| 73 |
zMU (i,j,k,bi,bj) = 0. |
| 74 |
ENDDO |
| 75 |
ENDDO |
| 76 |
C- From common bloc CG3D_WK_R: |
| 77 |
DO j=0,sNy+1 |
| 78 |
DO i=0,sNx+1 |
| 79 |
cg3d_q(i,j,k,bi,bj) = 0. |
| 80 |
cg3d_r(i,j,k,bi,bj) = 0. |
| 81 |
cg3d_s(i,j,k,bi,bj) = 0. |
| 82 |
ENDDO |
| 83 |
ENDDO |
| 84 |
C- From common bloc SFP3D_COMMON_R: |
| 85 |
DO j=1-OLy,sNy+OLy |
| 86 |
DO i=1-OLx,sNx+OLx |
| 87 |
cg3d_b(i,j,k,bi,bj) = 0. |
| 88 |
ENDDO |
| 89 |
ENDDO |
| 90 |
ENDDO |
| 91 |
ENDDO |
| 92 |
ENDDO |
| 93 |
|
| 94 |
nh_Fac = 0. |
| 95 |
igwFac = 0. |
| 96 |
IF ( nonHydrostatic |
| 97 |
& .AND. nh_Am2.NE.0. ) nh_Fac = 1. _d 0 / nh_Am2 |
| 98 |
IF ( implicitIntGravWave ) igwFac = 1. _d 0 |
| 99 |
|
| 100 |
IF ( use3Dsolver ) THEN |
| 101 |
C-- Initialise laplace operator |
| 102 |
C aW3d: Ax/dX |
| 103 |
C aS3d: Ay/dY |
| 104 |
C aV3d: Ar/dR |
| 105 |
myNorm = 0. _d 0 |
| 106 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 107 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 108 |
DO k=1,Nr |
| 109 |
DO j=1,sNy |
| 110 |
DO i=1,sNx+1 |
| 111 |
faceArea = _dyG(i,j,bi,bj)*drF(k) |
| 112 |
& *_hFacW(i,j,k,bi,bj) |
| 113 |
#ifdef ALLOW_OBCS |
| 114 |
& *maskInC(i,j,bi,bj)*maskInC(i-1,j,bi,bj) |
| 115 |
#endif |
| 116 |
aW3d(i,j,k,bi,bj) = faceArea*recip_dxC(i,j,bi,bj) |
| 117 |
& *implicitNHPress*implicDiv2DFlow |
| 118 |
myNorm = MAX(ABS(aW3d(i,j,k,bi,bj)),myNorm) |
| 119 |
ENDDO |
| 120 |
ENDDO |
| 121 |
C deep-model: *deepFacC (faceArea), /deepFacC (recip_dx,y): => no net effect |
| 122 |
DO j=1,sNy+1 |
| 123 |
DO i=1,sNx |
| 124 |
faceArea = _dxG(i,j,bi,bj)*drF(K) |
| 125 |
& *_hFacS(i,j,k,bi,bj) |
| 126 |
#ifdef ALLOW_OBCS |
| 127 |
& *maskInC(i,j,bi,bj)*maskInC(i,j-1,bi,bj) |
| 128 |
#endif |
| 129 |
aS3d(i,j,k,bi,bj) = faceArea*recip_dyC(i,j,bi,bj) |
| 130 |
& *implicitNHPress*implicDiv2DFlow |
| 131 |
myNorm = MAX(ABS(aS3d(i,j,k,bi,bj)),myNorm) |
| 132 |
ENDDO |
| 133 |
ENDDO |
| 134 |
ENDDO |
| 135 |
DO k=1,1 |
| 136 |
DO j=1,sNy |
| 137 |
DO i=1,sNx |
| 138 |
aV3d(i,j,k,bi,bj) = 0. |
| 139 |
ENDDO |
| 140 |
ENDDO |
| 141 |
ENDDO |
| 142 |
DO k=2,Nr |
| 143 |
tmpFac = nh_Fac*rVel2wUnit(k)*rVel2wUnit(k) |
| 144 |
& + igwFac*dBdrRef(k)*deltaTMom*dTtracerLev(k) |
| 145 |
IF (tmpFac.GT.0. ) tmpFac = 1. _d 0 / tmpFac |
| 146 |
DO j=1,sNy |
| 147 |
DO i=1,sNx |
| 148 |
faceArea = _rA(i,j,bi,bj)*maskC(i,j, k ,bi,bj) |
| 149 |
& *maskC(i,j,k-1,bi,bj) |
| 150 |
& *deepFac2F(k) |
| 151 |
#ifdef ALLOW_OBCS |
| 152 |
& *maskInC(i,j,bi,bj) |
| 153 |
#endif |
| 154 |
theRecip_Dr = recip_drC(k) |
| 155 |
c theRecip_Dr = |
| 156 |
caja & drF(k )*_hFacC(i,j,k ,bi,bj)*0.5 |
| 157 |
caja & +drF(k-1)*_hFacC(i,j,k-1,bi,bj)*0.5 |
| 158 |
c IF ( theRecip_Dr .NE. 0. ) |
| 159 |
c & theRecip_Dr = 1. _d 0/theRecip_Dr |
| 160 |
aV3d(i,j,k,bi,bj) = faceArea*theRecip_Dr*tmpFac |
| 161 |
& *implicitNHPress*implicDiv2DFlow |
| 162 |
myNorm = MAX(ABS(aV3d(i,j,k,bi,bj)),myNorm) |
| 163 |
ENDDO |
| 164 |
ENDDO |
| 165 |
ENDDO |
| 166 |
ENDDO |
| 167 |
ENDDO |
| 168 |
_GLOBAL_MAX_RS( myNorm, myThid ) |
| 169 |
IF ( myNorm .NE. 0. _d 0 ) THEN |
| 170 |
myNorm = 1. _d 0/myNorm |
| 171 |
ELSE |
| 172 |
myNorm = 1. _d 0 |
| 173 |
ENDIF |
| 174 |
|
| 175 |
_BEGIN_MASTER( myThid ) |
| 176 |
C-- set global parameter in common block: |
| 177 |
cg3dNorm = myNorm |
| 178 |
WRITE(msgBuf,'(2A,1PE23.16)') 'INI_CG3D: ', |
| 179 |
& 'CG3D normalisation factor = ', cg3dNorm |
| 180 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 181 |
& SQUEEZE_RIGHT, myThid ) |
| 182 |
WRITE(msgBuf,*) ' ' |
| 183 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 184 |
& SQUEEZE_RIGHT, myThid ) |
| 185 |
_END_MASTER( myThid ) |
| 186 |
|
| 187 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 188 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 189 |
C- Set solver main diagonal term |
| 190 |
DO k=1,Nr |
| 191 |
DO j=1,sNy |
| 192 |
DO i=1,sNx |
| 193 |
aW = aW3d( i, j, k, bi,bj) |
| 194 |
aE = aW3d(i+1,j, k, bi,bj) |
| 195 |
aN = aS3d( i,j+1,k, bi,bj) |
| 196 |
aS = aS3d( i, j, k, bi,bj) |
| 197 |
aU = aV3d( i, j, k, bi,bj) |
| 198 |
IF ( k .NE. Nr ) THEN |
| 199 |
aL = aV3d(i, j,k+1,bi,bj) |
| 200 |
ELSE |
| 201 |
aL = 0. |
| 202 |
ENDIF |
| 203 |
aC3d(i,j,k,bi,bj) = -aW-aE-aN-aS-aU-aL |
| 204 |
ENDDO |
| 205 |
ENDDO |
| 206 |
ENDDO |
| 207 |
C- Add free-surface source term |
| 208 |
IF ( selectNHfreeSurf.GE.1 ) THEN |
| 209 |
DO j=1,sNy |
| 210 |
DO i=1,sNx |
| 211 |
locGamma = drC(1)*recip_Bo(i,j,bi,bj) |
| 212 |
& /( deltaTMom*deltaTFreeSurf |
| 213 |
& *implicitNHPress*implicDiv2DFlow ) |
| 214 |
ks = 1 |
| 215 |
c ks = kSurfC(i,j,bi,bj) |
| 216 |
c IF ( ks.LE.Nr ) THEN |
| 217 |
aC3d(i,j,ks,bi,bj) = aC3d(i,j,ks,bi,bj) |
| 218 |
& - freeSurfFac*recip_Bo(i,j,bi,bj) |
| 219 |
& *rA(i,j,bi,bj)*deepFac2F(ks)/deltaTMom/deltaTFreeSurf |
| 220 |
& / (1. _d 0 + locGamma ) |
| 221 |
c ENDIF |
| 222 |
ENDDO |
| 223 |
ENDDO |
| 224 |
ELSE |
| 225 |
DO j=1,sNy |
| 226 |
DO i=1,sNx |
| 227 |
ks = kSurfC(i,j,bi,bj) |
| 228 |
IF ( ks.LE.Nr ) THEN |
| 229 |
aC3d(i,j,ks,bi,bj) = aC3d(i,j,ks,bi,bj) |
| 230 |
& - freeSurfFac*recip_Bo(i,j,bi,bj) |
| 231 |
& *rA(i,j,bi,bj)*deepFac2F(ks)/deltaTMom/deltaTFreeSurf |
| 232 |
ENDIF |
| 233 |
ENDDO |
| 234 |
ENDDO |
| 235 |
ENDIF |
| 236 |
C- Matrix solver normalisation |
| 237 |
DO k=1,Nr |
| 238 |
DO j=1,sNy |
| 239 |
DO i=1,sNx |
| 240 |
aW3d(i,j,k,bi,bj) = aW3d(i,j,k,bi,bj)*myNorm |
| 241 |
aS3d(i,j,k,bi,bj) = aS3d(i,j,k,bi,bj)*myNorm |
| 242 |
aV3d(i,j,k,bi,bj) = aV3d(i,j,k,bi,bj)*myNorm |
| 243 |
aC3d(i,j,k,bi,bj) = aC3d(i,j,k,bi,bj)*myNorm |
| 244 |
ENDDO |
| 245 |
ENDDO |
| 246 |
ENDDO |
| 247 |
ENDDO |
| 248 |
ENDDO |
| 249 |
|
| 250 |
C-- Update overlap regions |
| 251 |
CALL EXCH_UV_XYZ_RS(aW3d,aS3d,.FALSE.,myThid) |
| 252 |
_EXCH_XYZ_RS(aV3d, myThid) |
| 253 |
_EXCH_XYZ_RS(aC3d, myThid) |
| 254 |
CcnhDebugStarts |
| 255 |
C CALL PLOT_FIELD_XYZRS( aW3d, 'AW3D INI_CG3D.1' , Nr, 1, myThid ) |
| 256 |
C CALL PLOT_FIELD_XYZRS( aS3d, 'AS3D INI_CG3D.1' , Nr, 1, myThid ) |
| 257 |
CcnhDebugEnds |
| 258 |
|
| 259 |
C-- Initialise preconditioner |
| 260 |
C For now PC is just the identity. Change to |
| 261 |
C be LU factorization of d2/dz2 later. Note |
| 262 |
C check for consistency with S/R CG3D before |
| 263 |
C assuming zML is lower and zMU is upper! |
| 264 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 265 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 266 |
DO k=1,Nr |
| 267 |
DO j=1,sNy |
| 268 |
DO i=1,sNx |
| 269 |
IF ( aC3d(i,j,k,bi,bj) .NE. 0. ) THEN |
| 270 |
zMC(i,j,k,bi,bj) = aC3d(i,j,k,bi,bj) |
| 271 |
zML(i,j,k,bi,bj) = aV3d(i,j,k,bi,bj) |
| 272 |
IF ( k.NE.Nr ) THEN |
| 273 |
zMU(i,j,k,bi,bj)= aV3d(i,j,k+1,bi,bj) |
| 274 |
ELSE |
| 275 |
zMU(i,j,k,bi,bj)= 0. |
| 276 |
ENDIF |
| 277 |
CcnhDebugStarts |
| 278 |
C zMC(i,j,k,bi,bj) = 1. |
| 279 |
C zMU(i,j,k,bi,bj) = 0. |
| 280 |
C zML(i,j,k,bi,bj) = 0. |
| 281 |
CcnhDebugEnds |
| 282 |
ELSE |
| 283 |
zMC(i,j,k,bi,bj) = 1. _d 0 |
| 284 |
zMU(i,j,k,bi,bj) = 0. |
| 285 |
zML(i,j,k,bi,bj) = 0. |
| 286 |
ENDIF |
| 287 |
ENDDO |
| 288 |
ENDDO |
| 289 |
ENDDO |
| 290 |
k = 1 |
| 291 |
DO j=1,sNy |
| 292 |
DO i=1,sNx |
| 293 |
zMC(i,j,k,bi,bj) = 1. _d 0 / zMC(i,j,k,bi,bj) |
| 294 |
zMU(i,j,k,bi,bj) = zMU(i,j,k,bi,bj)*zMC(i,j,k,bi,bj) |
| 295 |
ENDDO |
| 296 |
ENDDO |
| 297 |
DO k=2,Nr |
| 298 |
DO j=1,sNy |
| 299 |
DO i=1,sNx |
| 300 |
zMC(i,j,k,bi,bj) = 1. _d 0 / |
| 301 |
& (zMC(i,j,k,bi,bj)-zML(i,j,k,bi,bj)*zMU(i,j,k-1,bi,bj)) |
| 302 |
zMU(i,j,k,bi,bj) = zMU(i,j,k,bi,bj)*zMC(i,j,k,bi,bj) |
| 303 |
ENDDO |
| 304 |
ENDDO |
| 305 |
ENDDO |
| 306 |
DO k=1,Nr |
| 307 |
DO j=1,sNy |
| 308 |
DO i=1,sNx |
| 309 |
IF ( aC3d(i,j,k,bi,bj) .EQ. 0. ) THEN |
| 310 |
zMC(i,j,k,bi,bj) = 1. |
| 311 |
zML(i,j,k,bi,bj) = 0. |
| 312 |
zMU(i,j,k,bi,bj) = 0. |
| 313 |
CcnhDebugStarts |
| 314 |
C ELSE |
| 315 |
C zMC(i,j,k,bi,bj) = 1. |
| 316 |
C zML(i,j,k,bi,bj) = 0. |
| 317 |
C zMU(i,j,k,bi,bj) = 0. |
| 318 |
CcnhDEbugEnds |
| 319 |
ENDIF |
| 320 |
ENDDO |
| 321 |
ENDDO |
| 322 |
ENDDO |
| 323 |
ENDDO |
| 324 |
ENDDO |
| 325 |
C-- Update overlap regions |
| 326 |
_EXCH_XYZ_RS(zMC, myThid) |
| 327 |
_EXCH_XYZ_RS(zML, myThid) |
| 328 |
_EXCH_XYZ_RS(zMU, myThid) |
| 329 |
|
| 330 |
IF ( debugLevel .GE. debLevC ) THEN |
| 331 |
CALL WRITE_FLD_XYZ_RS( 'zMC',' ',zMC, 0, myThid ) |
| 332 |
CALL WRITE_FLD_XYZ_RS( 'zML',' ',zML, 0, myThid ) |
| 333 |
CALL WRITE_FLD_XYZ_RS( 'zMU',' ',zMU, 0, myThid ) |
| 334 |
ENDIF |
| 335 |
CcnhDebugStarts |
| 336 |
c DO k=1,Nr |
| 337 |
c DO j=1-OLy,sNy+OLy |
| 338 |
c DO i=1-OLx,sNx+OLx |
| 339 |
c phi(i,j,1,1) = zMc(i,j,k,1,1) |
| 340 |
c ENDDO |
| 341 |
c ENDDO |
| 342 |
C CALL PLOT_FIELD_XYRS( phi, 'zMC INI_CG3D.1' , 1, myThid ) |
| 343 |
c ENDDO |
| 344 |
C CALL PLOT_FIELD_XYRS( zMU, 'zMU INI_CG3D.1' , Nr, 1, myThid ) |
| 345 |
C CALL PLOT_FIELD_XYRS( zML, 'zML INI_CG3D.1' , Nr, 1, myThid ) |
| 346 |
CcnhDebugEnds |
| 347 |
|
| 348 |
C-- end if (use3Dsolver) |
| 349 |
ENDIF |
| 350 |
|
| 351 |
#ifdef ALLOW_PETSC |
| 352 |
IF (use_cg3d_petsc) THEN |
| 353 |
CALL CG3D_INITIALIZE_PETSC |
| 354 |
CALL CG3D_PETSC_NUMERATE (mythid) |
| 355 |
ENDIF |
| 356 |
#endif |
| 357 |
|
| 358 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 359 |
|
| 360 |
RETURN |
| 361 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph