| 1 |
C $Header: /u/gcmpack/models/MITgcmUV/pkg/gmredi/gmredi_calc_tensor.F,v 1.7 2001/08/21 15:27:19 heimbach Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "GMREDI_OPTIONS.h" |
| 5 |
|
| 6 |
CStartOfInterface |
| 7 |
SUBROUTINE GMREDI_CALC_TENSOR( |
| 8 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 9 |
I sigmaX, sigmaY, sigmaR, |
| 10 |
I myThid ) |
| 11 |
C /==========================================================\ |
| 12 |
C | SUBROUTINE GMREDI_CALC_TENSOR | |
| 13 |
C | o Calculate tensor elements for GM/Redi tensor. | |
| 14 |
C |==========================================================| |
| 15 |
C \==========================================================/ |
| 16 |
IMPLICIT NONE |
| 17 |
|
| 18 |
C == Global variables == |
| 19 |
#include "SIZE.h" |
| 20 |
#include "GRID.h" |
| 21 |
#include "DYNVARS.h" |
| 22 |
#include "EEPARAMS.h" |
| 23 |
#include "PARAMS.h" |
| 24 |
#include "GMREDI.h" |
| 25 |
#include "GMREDI_DIAGS.h" |
| 26 |
|
| 27 |
C == Routine arguments == |
| 28 |
C |
| 29 |
_RL sigmaX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 30 |
_RL sigmaY(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 31 |
_RL sigmaR(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 32 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 33 |
INTEGER myThid |
| 34 |
CEndOfInterface |
| 35 |
|
| 36 |
#ifdef ALLOW_GMREDI |
| 37 |
|
| 38 |
C == Local variables == |
| 39 |
INTEGER i,j,k,km1,kp1 |
| 40 |
_RL SlopeX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 41 |
_RL SlopeY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 42 |
_RL dSigmaDrReal(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 43 |
_RL SlopeSqr(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 44 |
_RL taperFct(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 45 |
_RL maskp1, Kgm_tmp |
| 46 |
|
| 47 |
#ifdef GM_VISBECK_VARIABLE_K |
| 48 |
_RS deltaH,zero_rs |
| 49 |
PARAMETER(zero_rs=0.) |
| 50 |
_RL N2,SN |
| 51 |
_RL Ssq |
| 52 |
#endif |
| 53 |
|
| 54 |
DO k=2,Nr |
| 55 |
C-- 1rst loop on k : compute Tensor Coeff. at W points. |
| 56 |
c km1 = MAX(1,k-1) |
| 57 |
|
| 58 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 59 |
!HPF$ INDEPENDENT |
| 60 |
#endif |
| 61 |
DO j=1-Oly+1,sNy+Oly-1 |
| 62 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 63 |
!HPF$ INDEPENDENT |
| 64 |
#endif |
| 65 |
DO i=1-Olx+1,sNx+Olx-1 |
| 66 |
|
| 67 |
C Gradient of Sigma at rVel points |
| 68 |
SlopeX(i,j)=0.25*( sigmaX(i+1, j ,k-1) +sigmaX(i,j,k-1) |
| 69 |
& +sigmaX(i+1, j , k ) +sigmaX(i,j, k ) ) |
| 70 |
& *maskC(i,j,k,bi,bj) |
| 71 |
SlopeY(i,j)=0.25*( sigmaY( i ,j+1,k-1) +sigmaY(i,j,k-1) |
| 72 |
& +sigmaY( i ,j+1, k ) +sigmaY(i,j, k ) ) |
| 73 |
& *maskC(i,j,k,bi,bj) |
| 74 |
dSigmaDrReal(i,j)=sigmaR(i,j,k) |
| 75 |
|
| 76 |
ENDDO |
| 77 |
ENDDO |
| 78 |
|
| 79 |
C Calculate slopes for use in tensor, taper and/or clip |
| 80 |
CALL GMREDI_SLOPE_LIMIT( |
| 81 |
U dSigmadRReal, |
| 82 |
I rF(K), |
| 83 |
U SlopeX, SlopeY, |
| 84 |
O SlopeSqr, taperFct, |
| 85 |
I bi, bj, myThid ) |
| 86 |
|
| 87 |
DO j=1-Oly+1,sNy+Oly-1 |
| 88 |
DO i=1-Olx+1,sNx+Olx-1 |
| 89 |
|
| 90 |
C Mask Iso-neutral slopes |
| 91 |
SlopeX(i,j)=SlopeX(i,j)*maskC(i,j,k,bi,bj) |
| 92 |
SlopeY(i,j)=SlopeY(i,j)*maskC(i,j,k,bi,bj) |
| 93 |
SlopeSqr(i,j)=SlopeSqr(i,j)*maskC(i,j,k,bi,bj) |
| 94 |
c Ssq=SlopeX(i,j)*SlopeX(i,j)+SlopeY(i,j)*SlopeY(i,j) |
| 95 |
|
| 96 |
C Components of Redi/GM tensor |
| 97 |
Kwx(i,j,k,bi,bj)= SlopeX(i,j)*taperFct(i,j) |
| 98 |
Kwy(i,j,k,bi,bj)= SlopeY(i,j)*taperFct(i,j) |
| 99 |
Kwz(i,j,k,bi,bj)= SlopeSqr(i,j)*taperFct(i,j) |
| 100 |
|
| 101 |
#ifdef GM_VISBECK_VARIABLE_K |
| 102 |
|
| 103 |
C- note (jmc) : moved here since only used in VISBECK_VARIABLE_K |
| 104 |
C but don't know if *taperFct (or **2 ?) is necessary |
| 105 |
Ssq=SlopeSqr(i,j)*taperFct(i,j) |
| 106 |
|
| 107 |
C-- Depth average of M^2/N^2 * N |
| 108 |
|
| 109 |
C Calculate terms for mean Richardson number |
| 110 |
C which is used in the "variable K" parameterisaton. |
| 111 |
C Distance between interface above layer and the integration depth |
| 112 |
deltaH=abs(GM_Visbeck_depth)-abs(rF(k)) |
| 113 |
C If positive we limit this to the layer thickness |
| 114 |
deltaH=min(deltaH,drF(k)) |
| 115 |
C If negative then we are below the integration level |
| 116 |
deltaH=max(deltaH,zero_rs) |
| 117 |
C Now we convert deltaH to a non-dimensional fraction |
| 118 |
deltaH=deltaH/GM_Visbeck_depth |
| 119 |
|
| 120 |
IF (K.eq.2) VisbeckK(i,j,bi,bj)=0. |
| 121 |
IF (Ssq.NE.0.) THEN |
| 122 |
N2= -Gravity*recip_Rhonil*dSigmaDrReal(i,j) |
| 123 |
SN=sqrt(Ssq*N2) |
| 124 |
VisbeckK(i,j,bi,bj)=VisbeckK(i,j,bi,bj)+deltaH |
| 125 |
& *GM_Visbeck_alpha*GM_Visbeck_length*GM_Visbeck_length*SN |
| 126 |
ENDIF |
| 127 |
|
| 128 |
#endif /* GM_VISBECK_VARIABLE_K */ |
| 129 |
|
| 130 |
ENDDO |
| 131 |
ENDDO |
| 132 |
|
| 133 |
C-- end 1rst loop on vertical level index k |
| 134 |
ENDDO |
| 135 |
|
| 136 |
|
| 137 |
#ifdef GM_VISBECK_VARIABLE_K |
| 138 |
IF ( GM_Visbeck_alpha.NE.0. ) THEN |
| 139 |
C- Limit range that KapGM can take |
| 140 |
DO j=1-Oly+1,sNy+Oly-1 |
| 141 |
DO i=1-Olx+1,sNx+Olx-1 |
| 142 |
VisbeckK(i,j,bi,bj)= |
| 143 |
& MIN(VisbeckK(i,j,bi,bj),GM_Visbeck_maxval_K) |
| 144 |
#ifdef ALLOW_TIMEAVE |
| 145 |
Visbeck_K_T(i,j,bi,bj)=Visbeck_K_T(i,j,bi,bj) |
| 146 |
& +VisbeckK(i,j,bi,bj)*deltaTclock |
| 147 |
#endif |
| 148 |
ENDDO |
| 149 |
ENDDO |
| 150 |
ENDIF |
| 151 |
#endif /* GM_VISBECK_VARIABLE_K */ |
| 152 |
|
| 153 |
|
| 154 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 155 |
C-- 2nd loop on k : compute Tensor Coeff. at U,V levels. |
| 156 |
DO k=1,Nr |
| 157 |
kp1 = MIN(Nr,k+1) |
| 158 |
maskp1 = 1. _d 0 |
| 159 |
IF (k.GE.Nr) maskp1 = 0. _d 0 |
| 160 |
|
| 161 |
C- express the Tensor in term of Diffusivity (= m**2 / s ) |
| 162 |
DO j=1-Oly+1,sNy+Oly-1 |
| 163 |
DO i=1-Olx+1,sNx+Olx-1 |
| 164 |
Kgm_tmp = GM_isopycK + GM_skewflx*GM_background_K |
| 165 |
#ifdef GM_VISBECK_VARIABLE_K |
| 166 |
& + VisbeckK(i,j,bi,bj)*(1.+GM_skewflx) |
| 167 |
#endif |
| 168 |
Kwx(i,j,k,bi,bj)= Kgm_tmp*Kwx(i,j,k,bi,bj) |
| 169 |
Kwy(i,j,k,bi,bj)= Kgm_tmp*Kwy(i,j,k,bi,bj) |
| 170 |
Kwz(i,j,k,bi,bj)= ( GM_isopycK |
| 171 |
#ifdef GM_VISBECK_VARIABLE_K |
| 172 |
& + VisbeckK(i,j,bi,bj) |
| 173 |
#endif |
| 174 |
& )*Kwz(i,j,k,bi,bj) |
| 175 |
ENDDO |
| 176 |
ENDDO |
| 177 |
|
| 178 |
#if ( defined (GM_NON_UNITY_DIAGONAL) || defined (GM_EXTRA_DIAGONAL) ) |
| 179 |
|
| 180 |
C Gradient of Sigma at U points |
| 181 |
DO j=1-Oly+1,sNy+Oly-1 |
| 182 |
DO i=1-Olx+1,sNx+Olx-1 |
| 183 |
SlopeX(i,j)=sigmaX(i,j,k) |
| 184 |
& *_maskW(i,j,k,bi,bj) |
| 185 |
SlopeY(i,j)=0.25*( sigmaY(i-1,j+1,k) +sigmaY(i,j+1,k) |
| 186 |
& +sigmaY(i-1, j ,k) +sigmaY(i, j ,k) ) |
| 187 |
& *_maskW(i,j,k,bi,bj) |
| 188 |
dSigmaDrReal(i,j)=0.25*( sigmaR(i-1,j, k ) +sigmaR(i,j, k ) |
| 189 |
& +maskp1*(sigmaR(i-1,j,kp1) +sigmaR(i,j,kp1)) ) |
| 190 |
& *_maskW(i,j,k,bi,bj) |
| 191 |
ENDDO |
| 192 |
ENDDO |
| 193 |
|
| 194 |
C Calculate slopes for use in tensor, taper and/or clip |
| 195 |
CALL GMREDI_SLOPE_LIMIT( |
| 196 |
U dSigmadRReal, |
| 197 |
I rF(K), |
| 198 |
U SlopeX, SlopeY, |
| 199 |
O SlopeSqr, taperFct, |
| 200 |
I bi, bj, myThid ) |
| 201 |
|
| 202 |
#ifdef GM_NON_UNITY_DIAGONAL |
| 203 |
DO j=1-Oly+1,sNy+Oly-1 |
| 204 |
DO i=1-Olx+1,sNx+Olx-1 |
| 205 |
Kux(i,j,k,bi,bj) = |
| 206 |
& ( GM_isopycK |
| 207 |
#ifdef GM_VISBECK_VARIABLE_K |
| 208 |
& +0.5*(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj)) |
| 209 |
#endif |
| 210 |
& )*taperFct(i,j) |
| 211 |
Kux(i,j,k,bi,bj) = MAX( Kux(i,j,k,bi,bj), GM_Kmin_horiz ) |
| 212 |
ENDDO |
| 213 |
ENDDO |
| 214 |
#endif /* GM_NON_UNITY_DIAGONAL */ |
| 215 |
|
| 216 |
#ifdef GM_EXTRA_DIAGONAL |
| 217 |
IF (GM_ExtraDiag) THEN |
| 218 |
DO j=1-Oly+1,sNy+Oly-1 |
| 219 |
DO i=1-Olx+1,sNx+Olx-1 |
| 220 |
Kuz(i,j,k,bi,bj) = |
| 221 |
& ( GM_isopycK - GM_skewflx*GM_background_K |
| 222 |
#ifdef GM_VISBECK_VARIABLE_K |
| 223 |
& +0.5*(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj))*GM_advect |
| 224 |
#endif |
| 225 |
& )*SlopeX(i,j)*taperFct(i,j) |
| 226 |
ENDDO |
| 227 |
ENDDO |
| 228 |
ENDIF |
| 229 |
#endif /* GM_EXTRA_DIAGONAL */ |
| 230 |
|
| 231 |
C Gradient of Sigma at V points |
| 232 |
DO j=1-Oly+1,sNy+Oly-1 |
| 233 |
DO i=1-Olx+1,sNx+Olx-1 |
| 234 |
SlopeX(i,j)=0.25*( sigmaX(i, j ,k) +sigmaX(i+1, j ,k) |
| 235 |
& +sigmaX(i,j-1,k) +sigmaX(i+1,j-1,k) ) |
| 236 |
& *_maskS(i,j,k,bi,bj) |
| 237 |
SlopeY(i,j)=sigmaY(i,j,k) |
| 238 |
& *_maskS(i,j,k,bi,bj) |
| 239 |
dSigmaDrReal(i,j)=0.25*( sigmaR(i,j-1, k ) +sigmaR(i,j, k ) |
| 240 |
& +maskp1*(sigmaR(i,j-1,kp1) +sigmaR(i,j,kp1)) ) |
| 241 |
& *_maskS(i,j,k,bi,bj) |
| 242 |
ENDDO |
| 243 |
ENDDO |
| 244 |
|
| 245 |
C Calculate slopes for use in tensor, taper and/or clip |
| 246 |
CALL GMREDI_SLOPE_LIMIT( |
| 247 |
U dSigmadRReal, |
| 248 |
I rF(K), |
| 249 |
U SlopeX, SlopeY, |
| 250 |
O SlopeSqr, taperFct, |
| 251 |
I bi, bj, myThid ) |
| 252 |
|
| 253 |
#ifdef GM_NON_UNITY_DIAGONAL |
| 254 |
DO j=1-Oly+1,sNy+Oly-1 |
| 255 |
DO i=1-Olx+1,sNx+Olx-1 |
| 256 |
Kvy(i,j,k,bi,bj) = |
| 257 |
& ( GM_isopycK |
| 258 |
#ifdef GM_VISBECK_VARIABLE_K |
| 259 |
& +0.5*(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj)) |
| 260 |
#endif |
| 261 |
& )*taperFct(i,j) |
| 262 |
Kvy(i,j,k,bi,bj) = MAX( Kvy(i,j,k,bi,bj), GM_Kmin_horiz ) |
| 263 |
ENDDO |
| 264 |
ENDDO |
| 265 |
#endif /* GM_NON_UNITY_DIAGONAL */ |
| 266 |
|
| 267 |
#ifdef GM_EXTRA_DIAGONAL |
| 268 |
IF (GM_ExtraDiag) THEN |
| 269 |
DO j=1-Oly+1,sNy+Oly-1 |
| 270 |
DO i=1-Olx+1,sNx+Olx-1 |
| 271 |
Kvz(i,j,k,bi,bj) = |
| 272 |
& ( GM_isopycK - GM_skewflx*GM_background_K |
| 273 |
#ifdef GM_VISBECK_VARIABLE_K |
| 274 |
& +0.5*(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj))*GM_advect |
| 275 |
#endif |
| 276 |
& )*SlopeY(i,j)*taperFct(i,j) |
| 277 |
ENDDO |
| 278 |
ENDDO |
| 279 |
ENDIF |
| 280 |
#endif /* GM_EXTRA_DIAGONAL */ |
| 281 |
|
| 282 |
#endif /* GM_NON_UNITY_DIAGONAL || GM_EXTRA_DIAGONAL */ |
| 283 |
|
| 284 |
#ifdef ALLOW_TIMEAVE |
| 285 |
C-- Time-average |
| 286 |
DO j=1-Oly+1,sNy+Oly-1 |
| 287 |
DO i=1-Olx+1,sNx+Olx-1 |
| 288 |
GM_Kwx_T(i,j,k,bi,bj)=GM_Kwx_T(i,j,k,bi,bj) |
| 289 |
& +Kwx(i,j,k,bi,bj)*deltaTclock |
| 290 |
GM_Kwy_T(i,j,k,bi,bj)=GM_Kwy_T(i,j,k,bi,bj) |
| 291 |
& +Kwy(i,j,k,bi,bj)*deltaTclock |
| 292 |
GM_Kwz_T(i,j,k,bi,bj)=GM_Kwz_T(i,j,k,bi,bj) |
| 293 |
& +Kwz(i,j,k,bi,bj)*deltaTclock |
| 294 |
ENDDO |
| 295 |
ENDDO |
| 296 |
GM_TimeAve(k,bi,bj)=GM_TimeAve(k,bi,bj)+deltaTclock |
| 297 |
#endif /* ALLOW_TIMEAVE */ |
| 298 |
|
| 299 |
C-- end 2nd loop on vertical level index k |
| 300 |
ENDDO |
| 301 |
|
| 302 |
|
| 303 |
#ifdef GM_BOLUS_ADVEC |
| 304 |
IF (GM_AdvForm) THEN |
| 305 |
CALL GMREDI_CALC_PSI_B( |
| 306 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 307 |
I sigmaX, sigmaY, sigmaR, |
| 308 |
I myThid ) |
| 309 |
ENDIF |
| 310 |
#endif |
| 311 |
|
| 312 |
#endif /* ALLOW_GMREDI */ |
| 313 |
|
| 314 |
RETURN |
| 315 |
END |
| 316 |
|
| 317 |
|
| 318 |
SUBROUTINE GMREDI_CALC_TENSOR_DUMMY( |
| 319 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 320 |
I sigmaX, sigmaY, sigmaR, |
| 321 |
I myThid ) |
| 322 |
C /==========================================================\ |
| 323 |
C | SUBROUTINE GMREDI_CALC_TENSOR | |
| 324 |
C | o Calculate tensor elements for GM/Redi tensor. | |
| 325 |
C |==========================================================| |
| 326 |
C \==========================================================/ |
| 327 |
IMPLICIT NONE |
| 328 |
|
| 329 |
C == Global variables == |
| 330 |
#include "SIZE.h" |
| 331 |
#include "GRID.h" |
| 332 |
#include "DYNVARS.h" |
| 333 |
#include "EEPARAMS.h" |
| 334 |
#include "PARAMS.h" |
| 335 |
#include "GMREDI.h" |
| 336 |
|
| 337 |
C == Routine arguments == |
| 338 |
C |
| 339 |
_RL sigmaX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 340 |
_RL sigmaY(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 341 |
_RL sigmaR(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 342 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 343 |
INTEGER myThid |
| 344 |
CEndOfInterface |
| 345 |
|
| 346 |
INTEGER i, j, k |
| 347 |
|
| 348 |
#ifdef ALLOW_GMREDI |
| 349 |
|
| 350 |
DO k=1,Nr |
| 351 |
DO j=1-Oly+1,sNy+Oly-1 |
| 352 |
DO i=1-Olx+1,sNx+Olx-1 |
| 353 |
Kwx(i,j,k,bi,bj) = 0.0 |
| 354 |
Kwy(i,j,k,bi,bj) = 0.0 |
| 355 |
Kwz(i,j,k,bi,bj) = 0.0 |
| 356 |
ENDDO |
| 357 |
ENDDO |
| 358 |
ENDDO |
| 359 |
#endif /* ALLOW_GMREDI */ |
| 360 |
|
| 361 |
RETURN |
| 362 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph