| 1 |
C $Header: /u/gcmpack/MITgcm/model/src/calc_gw.F,v 1.49 2012/08/06 16:54:40 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "PACKAGES_CONFIG.h" |
| 5 |
#include "CPP_OPTIONS.h" |
| 6 |
#define CALC_GW_NEW_THICK |
| 7 |
|
| 8 |
CBOP |
| 9 |
C !ROUTINE: CALC_GW |
| 10 |
C !INTERFACE: |
| 11 |
SUBROUTINE CALC_GW( |
| 12 |
I bi, bj, KappaRU, KappaRV, |
| 13 |
I myTime, myIter, myThid ) |
| 14 |
C !DESCRIPTION: \bv |
| 15 |
C *==========================================================* |
| 16 |
C | S/R CALC_GW |
| 17 |
C | o Calculate vertical velocity tendency terms |
| 18 |
C | ( Non-Hydrostatic only ) |
| 19 |
C *==========================================================* |
| 20 |
C | In NH, the vertical momentum tendency must be |
| 21 |
C | calculated explicitly and included as a source term |
| 22 |
C | for a 3d pressure eqn. Calculate that term here. |
| 23 |
C | This routine is not used in HYD calculations. |
| 24 |
C *==========================================================* |
| 25 |
C \ev |
| 26 |
|
| 27 |
C !USES: |
| 28 |
IMPLICIT NONE |
| 29 |
C == Global variables == |
| 30 |
#include "SIZE.h" |
| 31 |
#include "EEPARAMS.h" |
| 32 |
#include "PARAMS.h" |
| 33 |
#include "GRID.h" |
| 34 |
#include "RESTART.h" |
| 35 |
#include "SURFACE.h" |
| 36 |
#include "DYNVARS.h" |
| 37 |
#include "NH_VARS.h" |
| 38 |
#ifdef ALLOW_ADDFLUID |
| 39 |
# include "FFIELDS.h" |
| 40 |
#endif |
| 41 |
|
| 42 |
C !INPUT/OUTPUT PARAMETERS: |
| 43 |
C == Routine arguments == |
| 44 |
C bi,bj :: current tile indices |
| 45 |
C KappaRU :: vertical viscosity at U points |
| 46 |
C KappaRV :: vertical viscosity at V points |
| 47 |
C myTime :: Current time in simulation |
| 48 |
C myIter :: Current iteration number in simulation |
| 49 |
C myThid :: Thread number for this instance of the routine. |
| 50 |
INTEGER bi,bj |
| 51 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 52 |
_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 53 |
_RL myTime |
| 54 |
INTEGER myIter |
| 55 |
INTEGER myThid |
| 56 |
|
| 57 |
#ifdef ALLOW_NONHYDROSTATIC |
| 58 |
|
| 59 |
C !LOCAL VARIABLES: |
| 60 |
C == Local variables == |
| 61 |
C iMin,iMax |
| 62 |
C jMin,jMax |
| 63 |
C xA :: W-Cell face area normal to X |
| 64 |
C yA :: W-Cell face area normal to Y |
| 65 |
C rThickC_W :: thickness (in r-units) of W-Cell at Western Edge |
| 66 |
C rThickC_S :: thickness (in r-units) of W-Cell at Southern Edge |
| 67 |
C rThickC_C :: thickness (in r-units) of W-Cell (centered on W pt) |
| 68 |
C recip_rThickC :: reciprol thickness of W-Cell (centered on W-point) |
| 69 |
C flx_NS :: vertical momentum flux, meridional direction |
| 70 |
C flx_EW :: vertical momentum flux, zonal direction |
| 71 |
C flxAdvUp :: vertical mom. advective flux, vertical direction (@ level k-1) |
| 72 |
C flxDisUp :: vertical mom. dissipation flux, vertical direction (@ level k-1) |
| 73 |
C flx_Dn :: vertical momentum flux, vertical direction (@ level k) |
| 74 |
C gwDiss :: vertical momentum dissipation tendency |
| 75 |
C gwAdd :: other tendencies (Coriolis, Metric-terms) |
| 76 |
C gw_AB :: tendency increment from Adams-Bashforth |
| 77 |
C del2w :: laplacian of wVel |
| 78 |
C wFld :: local copy of wVel |
| 79 |
C i,j,k :: Loop counters |
| 80 |
INTEGER iMin,iMax,jMin,jMax |
| 81 |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 82 |
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 83 |
_RL rThickC_W (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 84 |
_RL rThickC_S (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 85 |
_RL rThickC_C (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 86 |
_RL recip_rThickC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 87 |
_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 88 |
_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 89 |
_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 90 |
_RL flxAdvUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 91 |
_RL flxDisUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 92 |
_RL gwDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 93 |
_RL gwAdd (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 94 |
_RL gw_AB (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 95 |
_RL del2w (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 96 |
_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 97 |
INTEGER i,j,k, km1, kp1 |
| 98 |
_RL mskM1, mskP1 |
| 99 |
_RL tmp_WbarZ |
| 100 |
_RL uTrans, vTrans, rTrans |
| 101 |
_RL viscLoc |
| 102 |
PARAMETER( iMin = 1 , iMax = sNx ) |
| 103 |
PARAMETER( jMin = 1 , jMax = sNy ) |
| 104 |
CEOP |
| 105 |
#ifdef ALLOW_DIAGNOSTICS |
| 106 |
LOGICAL diagDiss, diagAdvec, diag_AB |
| 107 |
LOGICAL DIAGNOSTICS_IS_ON |
| 108 |
EXTERNAL DIAGNOSTICS_IS_ON |
| 109 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 110 |
|
| 111 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 112 |
|
| 113 |
#ifdef ALLOW_DIAGNOSTICS |
| 114 |
IF ( useDiagnostics ) THEN |
| 115 |
diagDiss = DIAGNOSTICS_IS_ON( 'Wm_Diss ', myThid ) |
| 116 |
diagAdvec = DIAGNOSTICS_IS_ON( 'Wm_Advec', myThid ) |
| 117 |
diag_AB = DIAGNOSTICS_IS_ON( 'AB_gW ', myThid ) |
| 118 |
ELSE |
| 119 |
diagDiss = .FALSE. |
| 120 |
diagAdvec = .FALSE. |
| 121 |
diag_AB = .FALSE. |
| 122 |
ENDIF |
| 123 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 124 |
|
| 125 |
C-- Initialise gW to zero |
| 126 |
DO k=1,Nr |
| 127 |
DO j=1-OLy,sNy+OLy |
| 128 |
DO i=1-OLx,sNx+OLx |
| 129 |
gW(i,j,k,bi,bj) = 0. |
| 130 |
ENDDO |
| 131 |
ENDDO |
| 132 |
ENDDO |
| 133 |
C- Initialise gwDiss to zero |
| 134 |
DO j=1-OLy,sNy+OLy |
| 135 |
DO i=1-OLx,sNx+OLx |
| 136 |
gwDiss(i,j) = 0. |
| 137 |
ENDDO |
| 138 |
ENDDO |
| 139 |
IF (momViscosity) THEN |
| 140 |
C- Initialize del2w to zero: |
| 141 |
DO j=1-OLy,sNy+OLy |
| 142 |
DO i=1-OLx,sNx+OLx |
| 143 |
del2w(i,j) = 0. _d 0 |
| 144 |
ENDDO |
| 145 |
ENDDO |
| 146 |
ENDIF |
| 147 |
|
| 148 |
C-- Boundaries condition at top (vertical advection of vertical momentum): |
| 149 |
DO j=1-OLy,sNy+OLy |
| 150 |
DO i=1-OLx,sNx+OLx |
| 151 |
flxAdvUp(i,j) = 0. |
| 152 |
c flxDisUp(i,j) = 0. |
| 153 |
ENDDO |
| 154 |
ENDDO |
| 155 |
|
| 156 |
|
| 157 |
C--- Sweep down column |
| 158 |
DO k=1,Nr |
| 159 |
km1 = MAX( k-1, 1 ) |
| 160 |
kp1 = MIN( k+1,Nr ) |
| 161 |
mskM1 = 1. |
| 162 |
mskP1 = 1. |
| 163 |
IF ( k.EQ. 1 ) mskM1 = 0. |
| 164 |
IF ( k.EQ.Nr ) mskP1 = 0. |
| 165 |
IF ( k.GT.1 ) THEN |
| 166 |
C-- Compute grid factor arround a W-point: |
| 167 |
#ifdef CALC_GW_NEW_THICK |
| 168 |
DO j=1-OLy,sNy+OLy |
| 169 |
DO i=1-OLx,sNx+OLx |
| 170 |
IF ( maskC(i,j,k-1,bi,bj).EQ.0. .OR. |
| 171 |
& maskC(i,j, k ,bi,bj).EQ.0. ) THEN |
| 172 |
recip_rThickC(i,j) = 0. |
| 173 |
ELSE |
| 174 |
C- valid in z & p coord.; also accurate if Interface @ middle between 2 centers |
| 175 |
recip_rThickC(i,j) = 1. _d 0 / |
| 176 |
& ( MIN( Ro_surf(i,j,bi,bj),rC(k-1) ) |
| 177 |
& - MAX( R_low(i,j,bi,bj), rC(k) ) |
| 178 |
& ) |
| 179 |
ENDIF |
| 180 |
ENDDO |
| 181 |
ENDDO |
| 182 |
IF (momViscosity) THEN |
| 183 |
DO j=1-OLy,sNy+OLy |
| 184 |
DO i=1-OLx,sNx+OLx |
| 185 |
rThickC_C(i,j) = MAX( zeroRS, |
| 186 |
& MIN( Ro_surf(i,j,bi,bj), rC(k-1) ) |
| 187 |
& -MAX( R_low(i,j,bi,bj), rC(k) ) |
| 188 |
& ) |
| 189 |
ENDDO |
| 190 |
ENDDO |
| 191 |
DO j=1-OLy,sNy+OLy |
| 192 |
DO i=1-OLx+1,sNx+OLx |
| 193 |
rThickC_W(i,j) = MAX( zeroRS, |
| 194 |
& MIN( rSurfW(i,j,bi,bj), rC(k-1) ) |
| 195 |
& -MAX( rLowW(i,j,bi,bj), rC(k) ) |
| 196 |
& ) |
| 197 |
C W-Cell Western face area: |
| 198 |
xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
| 199 |
c & *deepFacF(k) |
| 200 |
ENDDO |
| 201 |
ENDDO |
| 202 |
DO j=1-OLy+1,sNy+OLy |
| 203 |
DO i=1-OLx,sNx+OLx |
| 204 |
rThickC_S(i,j) = MAX( zeroRS, |
| 205 |
& MIN( rSurfS(i,j,bi,bj), rC(k-1) ) |
| 206 |
& -MAX( rLowS(i,j,bi,bj), rC(k) ) |
| 207 |
& ) |
| 208 |
C W-Cell Southern face area: |
| 209 |
yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
| 210 |
c & *deepFacF(k) |
| 211 |
C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
| 212 |
C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
| 213 |
ENDDO |
| 214 |
ENDDO |
| 215 |
ENDIF |
| 216 |
#else /* CALC_GW_NEW_THICK */ |
| 217 |
DO j=1-OLy,sNy+OLy |
| 218 |
DO i=1-OLx,sNx+OLx |
| 219 |
C- note: assume fluid @ smaller k than bottom: does not work in p-coordinate ! |
| 220 |
IF ( maskC(i,j,k,bi,bj).EQ.0. ) THEN |
| 221 |
recip_rThickC(i,j) = 0. |
| 222 |
ELSE |
| 223 |
recip_rThickC(i,j) = 1. _d 0 / |
| 224 |
& ( drF(k-1)*halfRS |
| 225 |
& + drF( k )*MIN( _hFacC(i,j, k ,bi,bj), halfRS ) |
| 226 |
& ) |
| 227 |
ENDIF |
| 228 |
c IF (momViscosity) THEN |
| 229 |
#ifdef NONLIN_FRSURF |
| 230 |
rThickC_C(i,j) = |
| 231 |
& drF(k-1)*MAX( h0FacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
| 232 |
& + drF( k )*MIN( h0FacC(i,j,k ,bi,bj), halfRS ) |
| 233 |
#else |
| 234 |
rThickC_C(i,j) = |
| 235 |
& drF(k-1)*MAX( _hFacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
| 236 |
& + drF( k )*MIN( _hFacC(i,j,k ,bi,bj), halfRS ) |
| 237 |
#endif |
| 238 |
rThickC_W(i,j) = |
| 239 |
& drF(k-1)*MAX( _hFacW(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
| 240 |
& + drF( k )*MIN( _hFacW(i,j,k ,bi,bj), halfRS ) |
| 241 |
rThickC_S(i,j) = |
| 242 |
& drF(k-1)*MAX( _hFacS(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
| 243 |
& + drF( k )*MIN( _hFacS(i,j, k ,bi,bj), halfRS ) |
| 244 |
C W-Cell Western face area: |
| 245 |
xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
| 246 |
c & *deepFacF(k) |
| 247 |
C W-Cell Southern face area: |
| 248 |
yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
| 249 |
c & *deepFacF(k) |
| 250 |
C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
| 251 |
C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
| 252 |
c ENDIF |
| 253 |
ENDDO |
| 254 |
ENDDO |
| 255 |
#endif /* CALC_GW_NEW_THICK */ |
| 256 |
ELSEIF ( selectNHfreeSurf.GE.1 ) THEN |
| 257 |
DO j=1-OLy,sNy+OLy |
| 258 |
DO i=1-OLx,sNx+OLx |
| 259 |
recip_rThickC(i,j) = recip_drC(k) |
| 260 |
c rThickC_C(i,j) = drC(k) |
| 261 |
c rThickC_W(i,j) = drC(k) |
| 262 |
c rThickC_S(i,j) = drC(k) |
| 263 |
c xA(i,j) = _dyG(i,j,bi,bj)*drC(k) |
| 264 |
c yA(i,j) = _dxG(i,j,bi,bj)*drC(k) |
| 265 |
ENDDO |
| 266 |
ENDDO |
| 267 |
ENDIF |
| 268 |
|
| 269 |
C-- local copy of wVel: |
| 270 |
DO j=1-OLy,sNy+OLy |
| 271 |
DO i=1-OLx,sNx+OLx |
| 272 |
wFld(i,j) = wVel(i,j,k,bi,bj) |
| 273 |
ENDDO |
| 274 |
ENDDO |
| 275 |
|
| 276 |
C-- horizontal bi-harmonic dissipation |
| 277 |
IF ( momViscosity .AND. k.GT.1 .AND. viscA4W.NE.0. ) THEN |
| 278 |
|
| 279 |
C- calculate the horizontal Laplacian of vertical flow |
| 280 |
C Zonal flux d/dx W |
| 281 |
IF ( useCubedSphereExchange ) THEN |
| 282 |
C to compute d/dx(W), fill corners with appropriate values: |
| 283 |
CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
| 284 |
& wFld, bi,bj, myThid ) |
| 285 |
ENDIF |
| 286 |
DO j=1-OLy,sNy+OLy |
| 287 |
flx_EW(1-OLx,j)=0. |
| 288 |
DO i=1-OLx+1,sNx+OLx |
| 289 |
flx_EW(i,j) = |
| 290 |
& ( wFld(i,j) - wFld(i-1,j) ) |
| 291 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
| 292 |
#ifdef COSINEMETH_III |
| 293 |
& *sqCosFacU(j,bi,bj) |
| 294 |
#endif |
| 295 |
#ifdef ALLOW_OBCS |
| 296 |
& *maskInW(i,j,bi,bj) |
| 297 |
#endif |
| 298 |
ENDDO |
| 299 |
ENDDO |
| 300 |
|
| 301 |
C Meridional flux d/dy W |
| 302 |
IF ( useCubedSphereExchange ) THEN |
| 303 |
C to compute d/dy(W), fill corners with appropriate values: |
| 304 |
CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
| 305 |
& wFld, bi,bj, myThid ) |
| 306 |
ENDIF |
| 307 |
DO i=1-OLx,sNx+OLx |
| 308 |
flx_NS(i,1-OLy)=0. |
| 309 |
ENDDO |
| 310 |
DO j=1-OLy+1,sNy+OLy |
| 311 |
DO i=1-OLx,sNx+OLx |
| 312 |
flx_NS(i,j) = |
| 313 |
& ( wFld(i,j) - wFld(i,j-1) ) |
| 314 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 315 |
#ifdef ISOTROPIC_COS_SCALING |
| 316 |
#ifdef COSINEMETH_III |
| 317 |
& *sqCosFacV(j,bi,bj) |
| 318 |
#endif |
| 319 |
#endif |
| 320 |
#ifdef ALLOW_OBCS |
| 321 |
& *maskInS(i,j,bi,bj) |
| 322 |
#endif |
| 323 |
ENDDO |
| 324 |
ENDDO |
| 325 |
|
| 326 |
C del^2 W |
| 327 |
C Divergence of horizontal fluxes |
| 328 |
DO j=1-OLy,sNy+OLy-1 |
| 329 |
DO i=1-OLx,sNx+OLx-1 |
| 330 |
del2w(i,j) = ( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 331 |
& +( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 332 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 333 |
& *recip_deepFac2F(k) |
| 334 |
ENDDO |
| 335 |
ENDDO |
| 336 |
C end if biharmonic viscosity |
| 337 |
ENDIF |
| 338 |
|
| 339 |
IF ( momViscosity .AND. k.GT.1 ) THEN |
| 340 |
C Viscous Flux on Western face |
| 341 |
DO j=jMin,jMax |
| 342 |
DO i=iMin,iMax+1 |
| 343 |
flx_EW(i,j)= |
| 344 |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*halfRL |
| 345 |
& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
| 346 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
| 347 |
& *cosFacU(j,bi,bj) |
| 348 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
| 349 |
& *(del2w(i,j)-del2w(i-1,j)) |
| 350 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
| 351 |
#ifdef COSINEMETH_III |
| 352 |
& *sqCosFacU(j,bi,bj) |
| 353 |
#else |
| 354 |
& *cosFacU(j,bi,bj) |
| 355 |
#endif |
| 356 |
ENDDO |
| 357 |
ENDDO |
| 358 |
C Viscous Flux on Southern face |
| 359 |
DO j=jMin,jMax+1 |
| 360 |
DO i=iMin,iMax |
| 361 |
flx_NS(i,j)= |
| 362 |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*halfRL |
| 363 |
& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
| 364 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 365 |
#ifdef ISOTROPIC_COS_SCALING |
| 366 |
& *cosFacV(j,bi,bj) |
| 367 |
#endif |
| 368 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*halfRL |
| 369 |
& *(del2w(i,j)-del2w(i,j-1)) |
| 370 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 371 |
#ifdef ISOTROPIC_COS_SCALING |
| 372 |
#ifdef COSINEMETH_III |
| 373 |
& *sqCosFacV(j,bi,bj) |
| 374 |
#else |
| 375 |
& *cosFacV(j,bi,bj) |
| 376 |
#endif |
| 377 |
#endif |
| 378 |
ENDDO |
| 379 |
ENDDO |
| 380 |
C Viscous Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
| 381 |
DO j=jMin,jMax |
| 382 |
DO i=iMin,iMax |
| 383 |
C Interpolate vert viscosity to center of tracer-cell (level k): |
| 384 |
viscLoc = ( KappaRU(i,j,k) +KappaRU(i+1,j,k) |
| 385 |
& +KappaRU(i,j,kp1)+KappaRU(i+1,j,kp1) |
| 386 |
& +KappaRV(i,j,k) +KappaRV(i,j+1,k) |
| 387 |
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
| 388 |
& )*0.125 _d 0 |
| 389 |
flx_Dn(i,j) = |
| 390 |
& - viscLoc*( wVel(i,j,kp1,bi,bj)*mskP1 |
| 391 |
& -wVel(i,j, k ,bi,bj) )*rkSign |
| 392 |
& *recip_drF(k)*rA(i,j,bi,bj) |
| 393 |
& *deepFac2C(k)*rhoFacC(k) |
| 394 |
ENDDO |
| 395 |
ENDDO |
| 396 |
IF ( k.EQ.2 ) THEN |
| 397 |
C Viscous Flux on Upper face of W-Cell (= at tracer-cell center, level k-1) |
| 398 |
DO j=jMin,jMax |
| 399 |
DO i=iMin,iMax |
| 400 |
C Interpolate horizontally (but not vertically) vert viscosity to center: |
| 401 |
C Although background visc. might be defined at k=1, this is not |
| 402 |
C generally true when using variable visc. (from vertical mixing scheme). |
| 403 |
C Therefore, no vert. interp. and only horizontal interpolation. |
| 404 |
viscLoc = ( KappaRU(i,j,k) + KappaRU(i+1,j,k) |
| 405 |
& +KappaRV(i,j,k) + KappaRV(i,j+1,k) |
| 406 |
& )*0.25 _d 0 |
| 407 |
flxDisUp(i,j) = |
| 408 |
& - viscLoc*( wVel(i,j, k ,bi,bj) |
| 409 |
& -wVel(i,j,k-1,bi,bj) )*rkSign |
| 410 |
& *recip_drF(k-1)*rA(i,j,bi,bj) |
| 411 |
& *deepFac2C(k-1)*rhoFacC(k-1) |
| 412 |
C to recover old (before 2009/11/30) results (since flxDisUp(k=2) was zero) |
| 413 |
c flxDisUp(i,j) = 0. |
| 414 |
ENDDO |
| 415 |
ENDDO |
| 416 |
ENDIF |
| 417 |
C Tendency is minus divergence of viscous fluxes: |
| 418 |
C anelastic: vert.visc.flx is scaled by rhoFac but hor.visc.fluxes are not |
| 419 |
DO j=jMin,jMax |
| 420 |
DO i=iMin,iMax |
| 421 |
gwDiss(i,j) = |
| 422 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 423 |
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 424 |
& + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
| 425 |
& *recip_rhoFacF(k) |
| 426 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 427 |
& *recip_deepFac2F(k) |
| 428 |
C-- prepare for next level (k+1) |
| 429 |
flxDisUp(i,j)=flx_Dn(i,j) |
| 430 |
ENDDO |
| 431 |
ENDDO |
| 432 |
ENDIF |
| 433 |
|
| 434 |
IF ( momViscosity .AND. k.GT.1 .AND. no_slip_sides ) THEN |
| 435 |
C- No-slip BCs impose a drag at walls... |
| 436 |
CALL MOM_W_SIDEDRAG( |
| 437 |
I bi,bj,k, |
| 438 |
I wVel, del2w, |
| 439 |
I rThickC_C, recip_rThickC, |
| 440 |
I viscAh_W, viscA4_W, |
| 441 |
O gwAdd, |
| 442 |
I myThid ) |
| 443 |
DO j=jMin,jMax |
| 444 |
DO i=iMin,iMax |
| 445 |
gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
| 446 |
ENDDO |
| 447 |
ENDDO |
| 448 |
ENDIF |
| 449 |
|
| 450 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 451 |
|
| 452 |
IF ( momAdvection ) THEN |
| 453 |
|
| 454 |
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
| 455 |
C Advective Flux on Western face |
| 456 |
DO j=jMin,jMax |
| 457 |
DO i=iMin,iMax+1 |
| 458 |
C transport through Western face area: |
| 459 |
uTrans = ( |
| 460 |
& drF(km1)*_hFacW(i,j,km1,bi,bj)*uVel(i,j,km1,bi,bj) |
| 461 |
& *rhoFacC(km1)*mskM1 |
| 462 |
& + drF( k )*_hFacW(i,j, k ,bi,bj)*uVel(i,j, k ,bi,bj) |
| 463 |
& *rhoFacC(k) |
| 464 |
& )*halfRL*_dyG(i,j,bi,bj)*deepFacF(k) |
| 465 |
flx_EW(i,j) = uTrans*(wFld(i,j)+wFld(i-1,j))*halfRL |
| 466 |
c flx_EW(i,j)= |
| 467 |
c & uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
| 468 |
ENDDO |
| 469 |
ENDDO |
| 470 |
C Advective Flux on Southern face |
| 471 |
DO j=jMin,jMax+1 |
| 472 |
DO i=iMin,iMax |
| 473 |
C transport through Southern face area: |
| 474 |
vTrans = ( |
| 475 |
& drF(km1)*_hFacS(i,j,km1,bi,bj)*vVel(i,j,km1,bi,bj) |
| 476 |
& *rhoFacC(km1)*mskM1 |
| 477 |
& +drF( k )*_hFacS(i,j, k ,bi,bj)*vVel(i,j, k ,bi,bj) |
| 478 |
& *rhoFacC(k) |
| 479 |
& )*halfRL*_dxG(i,j,bi,bj)*deepFacF(k) |
| 480 |
flx_NS(i,j) = vTrans*(wFld(i,j)+wFld(i,j-1))*halfRL |
| 481 |
c flx_NS(i,j)= |
| 482 |
c & vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
| 483 |
ENDDO |
| 484 |
ENDDO |
| 485 |
ENDIF |
| 486 |
C Advective Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
| 487 |
c IF (.TRUE.) THEN |
| 488 |
DO j=jMin,jMax |
| 489 |
DO i=iMin,iMax |
| 490 |
C NH in p-coord.: advect wSpeed [m/s] with rTrans |
| 491 |
tmp_WbarZ = halfRL* |
| 492 |
& ( wVel(i,j, k ,bi,bj)*rVel2wUnit( k ) |
| 493 |
& +wVel(i,j,kp1,bi,bj)*rVel2wUnit(kp1)*mskP1 ) |
| 494 |
C transport through Lower face area: |
| 495 |
rTrans = halfRL* |
| 496 |
& ( wVel(i,j, k ,bi,bj)*deepFac2F( k )*rhoFacF( k ) |
| 497 |
& +wVel(i,j,kp1,bi,bj)*deepFac2F(kp1)*rhoFacF(kp1) |
| 498 |
& *mskP1 |
| 499 |
& )*rA(i,j,bi,bj) |
| 500 |
flx_Dn(i,j) = rTrans*tmp_WbarZ |
| 501 |
ENDDO |
| 502 |
ENDDO |
| 503 |
c ENDIF |
| 504 |
IF ( k.EQ.1 .AND. selectNHfreeSurf.GE.1 ) THEN |
| 505 |
C Advective Flux on Upper face of W-Cell (= at surface) |
| 506 |
DO j=jMin,jMax |
| 507 |
DO i=iMin,iMax |
| 508 |
tmp_WbarZ = wVel(i,j,k,bi,bj)*rVel2wUnit(k) |
| 509 |
rTrans = wVel(i,j,k,bi,bj)*deepFac2F(k)*rhoFacF(k) |
| 510 |
& *rA(i,j,bi,bj) |
| 511 |
flxAdvUp(i,j) = rTrans*tmp_WbarZ |
| 512 |
c flxAdvUp(i,j) = 0. |
| 513 |
ENDDO |
| 514 |
ENDDO |
| 515 |
ENDIF |
| 516 |
|
| 517 |
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
| 518 |
C Tendency is minus divergence of advective fluxes: |
| 519 |
C anelastic: all transports & advect. fluxes are scaled by rhoFac |
| 520 |
DO j=jMin,jMax |
| 521 |
DO i=iMin,iMax |
| 522 |
C to recover old (before 2009/11/30) results (since flxAdvUp(k=2) was zero) |
| 523 |
c IF (k.EQ.2) flxAdvUp(i,j) = 0. |
| 524 |
gW(i,j,k,bi,bj) = |
| 525 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 526 |
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 527 |
& + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign*wUnit2rVel(k) |
| 528 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 529 |
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
| 530 |
ENDDO |
| 531 |
ENDDO |
| 532 |
#ifdef ALLOW_ADDFLUID |
| 533 |
IF ( selectAddFluid.GE.1 ) THEN |
| 534 |
DO j=jMin,jMax |
| 535 |
DO i=iMin,iMax |
| 536 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj) |
| 537 |
& + wVel(i,j,k,bi,bj)*mass2rUnit*0.5 _d 0 |
| 538 |
& *( addMass(i,j,k,bi,bj) |
| 539 |
& +addMass(i,j,km1,bi,bj)*mskM1 ) |
| 540 |
& *recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 541 |
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
| 542 |
ENDDO |
| 543 |
ENDDO |
| 544 |
ENDIF |
| 545 |
#endif /* ALLOW_ADDFLUID */ |
| 546 |
ENDIF |
| 547 |
|
| 548 |
DO j=jMin,jMax |
| 549 |
DO i=iMin,iMax |
| 550 |
C-- prepare for next level (k+1) |
| 551 |
flxAdvUp(i,j)=flx_Dn(i,j) |
| 552 |
ENDDO |
| 553 |
ENDDO |
| 554 |
|
| 555 |
c ELSE |
| 556 |
C- if momAdvection / else |
| 557 |
c DO j=1-OLy,sNy+OLy |
| 558 |
c DO i=1-OLx,sNx+OLx |
| 559 |
c gW(i,j,k,bi,bj) = 0. _d 0 |
| 560 |
c ENDDO |
| 561 |
c ENDDO |
| 562 |
|
| 563 |
C- endif momAdvection. |
| 564 |
ENDIF |
| 565 |
|
| 566 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 567 |
|
| 568 |
IF ( useNHMTerms .AND. k.GT.1 ) THEN |
| 569 |
CALL MOM_W_METRIC_NH( |
| 570 |
I bi,bj,k, |
| 571 |
I uVel, vVel, |
| 572 |
O gwAdd, |
| 573 |
I myThid ) |
| 574 |
DO j=jMin,jMax |
| 575 |
DO i=iMin,iMax |
| 576 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
| 577 |
ENDDO |
| 578 |
ENDDO |
| 579 |
ENDIF |
| 580 |
IF ( use3dCoriolis .AND. k.GT.1 ) THEN |
| 581 |
CALL MOM_W_CORIOLIS_NH( |
| 582 |
I bi,bj,k, |
| 583 |
I uVel, vVel, |
| 584 |
O gwAdd, |
| 585 |
I myThid ) |
| 586 |
DO j=jMin,jMax |
| 587 |
DO i=iMin,iMax |
| 588 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
| 589 |
ENDDO |
| 590 |
ENDDO |
| 591 |
ENDIF |
| 592 |
|
| 593 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 594 |
|
| 595 |
#ifdef ALLOW_DIAGNOSTICS |
| 596 |
IF ( diagDiss ) THEN |
| 597 |
CALL DIAGNOSTICS_FILL( gwDiss, 'Wm_Diss ', |
| 598 |
& k, 1, 2, bi,bj, myThid ) |
| 599 |
C- note: needs to explicitly increment the counter since DIAGNOSTICS_FILL |
| 600 |
C does it only if k=1 (never the case here) |
| 601 |
c IF ( k.EQ.2 ) CALL DIAGNOSTICS_COUNT('Wm_Diss ',bi,bj,myThid) |
| 602 |
ENDIF |
| 603 |
IF ( diagAdvec ) THEN |
| 604 |
CALL DIAGNOSTICS_FILL( gW, 'Wm_Advec', |
| 605 |
& k,Nr, 1, bi,bj, myThid ) |
| 606 |
c IF ( k.EQ.2 ) CALL DIAGNOSTICS_COUNT('Wm_Advec',bi,bj,myThid) |
| 607 |
ENDIF |
| 608 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 609 |
|
| 610 |
C-- Dissipation term inside the Adams-Bashforth: |
| 611 |
IF ( momViscosity .AND. momDissip_In_AB) THEN |
| 612 |
DO j=jMin,jMax |
| 613 |
DO i=iMin,iMax |
| 614 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
| 615 |
ENDDO |
| 616 |
ENDDO |
| 617 |
ENDIF |
| 618 |
|
| 619 |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
| 620 |
C and save gW_[n] into gwNm1 for the next time step. |
| 621 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 622 |
CALL ADAMS_BASHFORTH3( |
| 623 |
I bi, bj, k, |
| 624 |
U gW, gwNm, gw_AB, |
| 625 |
I nHydStartAB, myIter, myThid ) |
| 626 |
#else /* ALLOW_ADAMSBASHFORTH_3 */ |
| 627 |
CALL ADAMS_BASHFORTH2( |
| 628 |
I bi, bj, k, |
| 629 |
U gW, gwNm1, gw_AB, |
| 630 |
I nHydStartAB, myIter, myThid ) |
| 631 |
#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
| 632 |
#ifdef ALLOW_DIAGNOSTICS |
| 633 |
IF ( diag_AB ) THEN |
| 634 |
CALL DIAGNOSTICS_FILL(gw_AB,'AB_gW ',k,1,2,bi,bj,myThid) |
| 635 |
ENDIF |
| 636 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 637 |
|
| 638 |
C-- Dissipation term outside the Adams-Bashforth: |
| 639 |
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
| 640 |
DO j=jMin,jMax |
| 641 |
DO i=iMin,iMax |
| 642 |
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
| 643 |
ENDDO |
| 644 |
ENDDO |
| 645 |
ENDIF |
| 646 |
|
| 647 |
C- end of the k loop |
| 648 |
ENDDO |
| 649 |
|
| 650 |
#ifdef ALLOW_DIAGNOSTICS |
| 651 |
IF (useDiagnostics) THEN |
| 652 |
CALL DIAGNOSTICS_FILL(viscAh_W,'VISCAHW ',0,Nr,1,bi,bj,myThid) |
| 653 |
CALL DIAGNOSTICS_FILL(viscA4_W,'VISCA4W ',0,Nr,1,bi,bj,myThid) |
| 654 |
ENDIF |
| 655 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 656 |
|
| 657 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 658 |
|
| 659 |
RETURN |
| 660 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph