| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_slope_psi.F,v 1.6 2003/01/21 19:34:13 heimbach Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "GMREDI_OPTIONS.h" |
| 5 |
|
| 6 |
CStartOfInterface |
| 7 |
SUBROUTINE GMREDI_SLOPE_PSI( |
| 8 |
O taperX, taperY, |
| 9 |
U SlopeX, SlopeY, |
| 10 |
U dSigmaDrW,dSigmaDrS, |
| 11 |
I LrhoW, LrhoS, depthZ, K, |
| 12 |
I bi,bj, myThid ) |
| 13 |
C /==========================================================\ |
| 14 |
C | SUBROUTINE GMREDI_SLOPE_PSI | |
| 15 |
C | o Calculate slopes for use in GM/Redi tensor | |
| 16 |
C |==========================================================| |
| 17 |
C | On entry: | |
| 18 |
C | dSigmaDrW,S contains the d/dz Sigma | |
| 19 |
C | SlopeX/Y contains X/Y gradients of sigma | |
| 20 |
C | depthZ contains the height (m) of level | |
| 21 |
C | On exit: | |
| 22 |
C | dSigmaDrW,S contains the effective dSig/dz | |
| 23 |
C | SlopeX/Y contains X/Y slopes | |
| 24 |
C | taperFct contains tapering funct. value ; | |
| 25 |
C | = 1 when using no tapering | |
| 26 |
C \==========================================================/ |
| 27 |
IMPLICIT NONE |
| 28 |
|
| 29 |
C == Global variables == |
| 30 |
#include "SIZE.h" |
| 31 |
#include "EEPARAMS.h" |
| 32 |
#include "GMREDI.h" |
| 33 |
#include "PARAMS.h" |
| 34 |
|
| 35 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 36 |
#include "tamc.h" |
| 37 |
#include "tamc_keys.h" |
| 38 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 39 |
|
| 40 |
C == Routine arguments == |
| 41 |
C |
| 42 |
_RL taperX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 43 |
_RL taperY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 44 |
_RL SlopeX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 45 |
_RL SlopeY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 46 |
_RL dSigmaDrW(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 47 |
_RL dSigmaDrS(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 48 |
_RL LrhoW(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 49 |
_RL LrhoS(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 50 |
_RL depthZ |
| 51 |
INTEGER K,bi,bj,myThid |
| 52 |
CEndOfInterface |
| 53 |
|
| 54 |
#ifdef ALLOW_GMREDI |
| 55 |
#ifdef GM_BOLUS_ADVEC |
| 56 |
|
| 57 |
C == Local variables == |
| 58 |
_RL gradSmod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 59 |
_RL dSigmaDrLtd(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 60 |
_RL SlopeSqr(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 61 |
_RL f1,Smod,f2,Rnondim |
| 62 |
_RL maxSlopeSqr |
| 63 |
_RL slopeCutoff |
| 64 |
_RL fpi |
| 65 |
PARAMETER(fpi=3.141592653589793047592d0) |
| 66 |
INTEGER i,j |
| 67 |
|
| 68 |
slopeCutoff = SQRT( GM_slopeSqCutoff ) |
| 69 |
|
| 70 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 71 |
act1 = bi - myBxLo(myThid) |
| 72 |
max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
| 73 |
act2 = bj - myByLo(myThid) |
| 74 |
max2 = myByHi(myThid) - myByLo(myThid) + 1 |
| 75 |
act3 = myThid - 1 |
| 76 |
max3 = nTx*nTy |
| 77 |
act4 = ikey_dynamics - 1 |
| 78 |
igmkey = (act1 + 1) + act2*max1 |
| 79 |
& + act3*max1*max2 |
| 80 |
& + act4*max1*max2*max3 |
| 81 |
kkey = (igmkey-1)*Nr + k |
| 82 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 83 |
|
| 84 |
IF (GM_taper_scheme.EQ.'orig' .OR. |
| 85 |
& GM_taper_scheme.EQ.'clipping') THEN |
| 86 |
|
| 87 |
#ifdef GM_EXCLUDE_CLIPPING |
| 88 |
|
| 89 |
STOP 'Need to compile without "#define GM_EXCLUDE_CLIPPING"' |
| 90 |
|
| 91 |
#else /* GM_EXCLUDE_CLIPPING */ |
| 92 |
|
| 93 |
C- Original implementation in mitgcmuv |
| 94 |
C (this turns out to be the same as Cox slope clipping) |
| 95 |
|
| 96 |
C-- X-comp |
| 97 |
|
| 98 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 99 |
DO j=1-Oly,sNy+Oly |
| 100 |
DO i=1-Olx+1,sNx+Olx |
| 101 |
dSigmaDrLtd(i,j) = 0. _d 0 |
| 102 |
ENDDO |
| 103 |
ENDDO |
| 104 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 105 |
|
| 106 |
C- Cox 1987 "Slope clipping" |
| 107 |
DO j=1-Oly,sNy+Oly |
| 108 |
DO i=1-Olx+1,sNx+Olx |
| 109 |
dSigmaDrLtd(i,j) = -(GM_Small_Number+ |
| 110 |
& ABS(SlopeX(i,j))*GM_rMaxSlope) |
| 111 |
ENDDO |
| 112 |
ENDDO |
| 113 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 114 |
CADJ STORE dSigmaDrLtd(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 115 |
CADJ STORE dSigmaDrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 116 |
#endif |
| 117 |
DO j=1-Oly,sNy+Oly |
| 118 |
DO i=1-Olx+1,sNx+Olx |
| 119 |
IF (dSigmaDrW(i,j).GE.dSigmaDrLtd(i,j)) |
| 120 |
& dSigmaDrW(i,j) = dSigmaDrLtd(i,j) |
| 121 |
ENDDO |
| 122 |
ENDDO |
| 123 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 124 |
CADJ STORE dSigmaDrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 125 |
#endif |
| 126 |
DO j=1-Oly,sNy+Oly |
| 127 |
DO i=1-Olx+1,sNx+Olx |
| 128 |
SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
| 129 |
taperX(i,j)=1. _d 0 |
| 130 |
ENDDO |
| 131 |
ENDDO |
| 132 |
|
| 133 |
C-- Y-comp |
| 134 |
|
| 135 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 136 |
DO j=1-Oly+1,sNy+Oly |
| 137 |
DO i=1-Olx,sNx+Olx |
| 138 |
dSigmaDrLtd(i,j) = 0. _d 0 |
| 139 |
ENDDO |
| 140 |
ENDDO |
| 141 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 142 |
DO j=1-Oly+1,sNy+Oly |
| 143 |
DO i=1-Olx,sNx+Olx |
| 144 |
dSigmaDrLtd(i,j) = -(GM_Small_Number+ |
| 145 |
& ABS(SlopeY(i,j))*GM_rMaxSlope) |
| 146 |
ENDDO |
| 147 |
ENDDO |
| 148 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 149 |
CADJ STORE dSigmaDrLtd(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 150 |
CADJ STORE dSigmaDrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 151 |
#endif |
| 152 |
DO j=1-Oly+1,sNy+Oly |
| 153 |
DO i=1-Olx,sNx+Olx |
| 154 |
IF (dSigmaDrS(i,j).GE.dSigmaDrLtd(i,j)) |
| 155 |
& dSigmaDrS(i,j) = dSigmaDrLtd(i,j) |
| 156 |
ENDDO |
| 157 |
ENDDO |
| 158 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 159 |
CADJ STORE dSigmaDrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 160 |
#endif |
| 161 |
DO j=1-Oly+1,sNy+Oly |
| 162 |
DO i=1-Olx,sNx+Olx |
| 163 |
SlopeY(i,j) = -SlopeY(i,j)/dSigmaDrS(i,j) |
| 164 |
taperY(i,j)=1. _d 0 |
| 165 |
ENDDO |
| 166 |
ENDDO |
| 167 |
|
| 168 |
#endif /* GM_EXCLUDE_CLIPPING */ |
| 169 |
|
| 170 |
ELSE |
| 171 |
|
| 172 |
#ifdef GM_EXCLUDE_TAPERING |
| 173 |
|
| 174 |
STOP 'Need to compile without "#define GM_EXCLUDE_TAPERING"' |
| 175 |
|
| 176 |
#else /* GM_EXCLUDE_TAPERING */ |
| 177 |
|
| 178 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 179 |
CADJ STORE slopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 180 |
CADJ STORE dSigmaDrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 181 |
#endif |
| 182 |
|
| 183 |
C- Compute the slope, no clipping, but avoid reverse slope in negatively |
| 184 |
C stratified (Sigma_Z > 0) region : |
| 185 |
DO j=1-Oly,sNy+Oly |
| 186 |
DO i=1-Olx+1,sNx+Olx |
| 187 |
IF (dSigmaDrW(i,j).GE.-GM_Small_Number) |
| 188 |
& dSigmaDrW(i,j) = -GM_Small_Number |
| 189 |
ENDDO |
| 190 |
ENDDO |
| 191 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 192 |
CADJ STORE dsigmadrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 193 |
#endif |
| 194 |
DO j=1-Oly,sNy+Oly |
| 195 |
DO i=1-Olx+1,sNx+Olx |
| 196 |
SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
| 197 |
taperX(i,j)= 1. _d 0 |
| 198 |
ENDDO |
| 199 |
ENDDO |
| 200 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 201 |
CADJ STORE slopex(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 202 |
#endif |
| 203 |
DO j=1-Oly,sNy+Oly |
| 204 |
DO i=1-Olx+1,sNx+Olx |
| 205 |
IF ( ABS(SlopeX(i,j)) .GE. slopeCutoff ) THEN |
| 206 |
SlopeX(i,j) = SIGN(slopeCutoff,SlopeX(i,j)) |
| 207 |
taperX(i,j) = 0. _d 0 |
| 208 |
ENDIF |
| 209 |
ENDDO |
| 210 |
ENDDO |
| 211 |
|
| 212 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 213 |
CADJ STORE slopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 214 |
CADJ STORE dSigmaDrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 215 |
#endif |
| 216 |
|
| 217 |
DO j=1-Oly+1,sNy+Oly |
| 218 |
DO i=1-Olx,sNx+Olx |
| 219 |
IF (dSigmaDrS(i,j).GE.-GM_Small_Number) |
| 220 |
& dSigmaDrS(i,j) = -GM_Small_Number |
| 221 |
ENDDO |
| 222 |
ENDDO |
| 223 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 224 |
CADJ STORE dsigmadrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 225 |
#endif |
| 226 |
DO j=1-Oly+1,sNy+Oly |
| 227 |
DO i=1-Olx,sNx+Olx |
| 228 |
SlopeY(i,j) = -SlopeY(i,j)/dSigmaDrS(i,j) |
| 229 |
taperY(i,j)=1. _d 0 |
| 230 |
ENDDO |
| 231 |
ENDDO |
| 232 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 233 |
CADJ STORE slopey(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 234 |
#endif |
| 235 |
DO j=1-Oly+1,sNy+Oly |
| 236 |
DO i=1-Olx,sNx+Olx |
| 237 |
IF ( ABS(SlopeY(i,j)) .GE. slopeCutoff ) THEN |
| 238 |
SlopeY(i,j) = SIGN(slopeCutoff,SlopeY(i,j)) |
| 239 |
taperY(i,j) = 0. _d 0 |
| 240 |
ENDIF |
| 241 |
ENDDO |
| 242 |
ENDDO |
| 243 |
|
| 244 |
C- Compute the tapering function for the GM+Redi tensor : |
| 245 |
|
| 246 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 247 |
CADJ STORE slopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 248 |
CADJ STORE slopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 249 |
#endif |
| 250 |
|
| 251 |
IF (GM_taper_scheme.EQ.'linear') THEN |
| 252 |
|
| 253 |
C- Simplest adiabatic tapering = Smax/Slope (linear) |
| 254 |
DO j=1-Oly,sNy+Oly |
| 255 |
DO i=1-Olx+1,sNx+Olx |
| 256 |
Smod = ABS(SlopeX(i,j)) |
| 257 |
IF ( Smod .GT. GM_maxSlope .AND. |
| 258 |
& Smod .LT. slopeCutoff ) |
| 259 |
& taperX(i,j)=GM_maxSlope/(Smod+GM_Small_Number) |
| 260 |
ENDDO |
| 261 |
ENDDO |
| 262 |
DO j=1-Oly+1,sNy+Oly |
| 263 |
DO i=1-Olx,sNx+Olx |
| 264 |
Smod = ABS(SlopeY(i,j)) |
| 265 |
IF ( Smod .GT. GM_maxSlope .AND. |
| 266 |
& Smod .LT. slopeCutoff ) |
| 267 |
& taperY(i,j)=GM_maxSlope/(Smod+GM_Small_Number) |
| 268 |
ENDDO |
| 269 |
ENDDO |
| 270 |
|
| 271 |
ELSEIF (GM_taper_scheme.EQ.'gkw91') THEN |
| 272 |
|
| 273 |
C- Gerdes, Koberle and Willebrand, Clim. Dyn. 1991 |
| 274 |
maxSlopeSqr = GM_maxSlope*GM_maxSlope |
| 275 |
DO j=1-Oly,sNy+Oly |
| 276 |
DO i=1-Olx+1,sNx+Olx |
| 277 |
IF ( ABS(SlopeX(i,j)) .GT. GM_maxSlope .AND. |
| 278 |
& ABS(SlopeX(i,j)) .LT. slopeCutoff ) |
| 279 |
& taperX(i,j)=maxSlopeSqr/ |
| 280 |
& ( SlopeX(i,j)*SlopeX(i,j) + GM_Small_Number ) |
| 281 |
ENDDO |
| 282 |
ENDDO |
| 283 |
DO j=1-Oly+1,sNy+Oly |
| 284 |
DO i=1-Olx,sNx+Olx |
| 285 |
IF ( ABS(SlopeY(i,j)) .GT. GM_maxSlope .AND. |
| 286 |
& ABS(SlopeY(i,j)) .LT. slopeCutoff ) |
| 287 |
& taperY(i,j)=maxSlopeSqr/ |
| 288 |
& ( SlopeY(i,j)*SlopeY(i,j) + GM_Small_Number ) |
| 289 |
ENDDO |
| 290 |
ENDDO |
| 291 |
|
| 292 |
ELSEIF (GM_taper_scheme.EQ.'dm95') THEN |
| 293 |
|
| 294 |
C- Danabasoglu and McWilliams, J. Clim. 1995 |
| 295 |
DO j=1-Oly,sNy+Oly |
| 296 |
DO i=1-Olx+1,sNx+Olx |
| 297 |
Smod = ABS(SlopeX(i,j)) |
| 298 |
taperX(i,j)=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
| 299 |
ENDDO |
| 300 |
ENDDO |
| 301 |
DO j=1-Oly+1,sNy+Oly |
| 302 |
DO i=1-Olx,sNx+Olx |
| 303 |
Smod = ABS(SlopeY(i,j)) |
| 304 |
taperY(i,j)=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
| 305 |
ENDDO |
| 306 |
ENDDO |
| 307 |
|
| 308 |
ELSEIF (GM_taper_scheme.EQ.'ldd97') THEN |
| 309 |
|
| 310 |
C- Large, Danabasoglu and Doney, JPO 1997 |
| 311 |
|
| 312 |
DO j=1-Oly,sNy+Oly |
| 313 |
DO i=1-Olx+1,sNx+Olx |
| 314 |
Smod = ABS(SlopeX(i,j)) |
| 315 |
IF ( Smod .LT. slopeCutoff ) THEN |
| 316 |
f1=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
| 317 |
IF (Smod.NE.0.) THEN |
| 318 |
Rnondim=depthZ/(LrhoW(i,j)*Smod) |
| 319 |
ELSE |
| 320 |
Rnondim=0. |
| 321 |
ENDIF |
| 322 |
f2=op5*( 1. _d 0 + SIN( fpi*(Rnondim-op5))) |
| 323 |
taperX(i,j)=f1*f2 |
| 324 |
ENDIF |
| 325 |
ENDDO |
| 326 |
ENDDO |
| 327 |
|
| 328 |
DO j=1-Oly+1,sNy+Oly |
| 329 |
DO i=1-Olx,sNx+Olx |
| 330 |
Smod = ABS(SlopeY(i,j)) |
| 331 |
IF ( Smod .LT. slopeCutoff ) THEN |
| 332 |
f1=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
| 333 |
IF (Smod.NE.0.) THEN |
| 334 |
Rnondim=depthZ/(LrhoS(i,j)*Smod) |
| 335 |
ELSE |
| 336 |
Rnondim=0. |
| 337 |
ENDIF |
| 338 |
f2=op5*( 1. _d 0 + SIN( fpi*(Rnondim-op5))) |
| 339 |
taperY(i,j)=f1*f2 |
| 340 |
ENDIF |
| 341 |
ENDDO |
| 342 |
ENDDO |
| 343 |
|
| 344 |
ELSEIF (GM_taper_scheme.NE.' ') THEN |
| 345 |
STOP 'GMREDI_SLOPE_PSI: Bad GM_taper_scheme' |
| 346 |
ENDIF |
| 347 |
|
| 348 |
#endif /* GM_EXCLUDE_TAPERING */ |
| 349 |
|
| 350 |
ENDIF |
| 351 |
|
| 352 |
#endif /* BOLUS_ADVEC */ |
| 353 |
#endif /* ALLOW_GMREDI */ |
| 354 |
|
| 355 |
RETURN |
| 356 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph