| 1 |
C $Header: $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "KPP_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: KPP_FORCING_SURF |
| 8 |
|
| 9 |
C !INTERFACE: ========================================================== |
| 10 |
SUBROUTINE KPP_FORCING_SURF( |
| 11 |
I rhoSurf, surfForcU, surfForcV, |
| 12 |
I surfForcT, surfForcS, surfForcTice, |
| 13 |
I Qsw, ttalpha, ssbeta, |
| 14 |
O ustar, bo, bosol, dVsq, |
| 15 |
I ikppkey, iMin, iMax, jMin, jMax, bi, bj, myTime, myThid ) |
| 16 |
|
| 17 |
C !DESCRIPTION: \bv |
| 18 |
C /==========================================================\ |
| 19 |
C | SUBROUTINE KPP_FORCING_SURF | |
| 20 |
C | o Compute all surface related KPP fields: | |
| 21 |
C | - friction velocity ustar | |
| 22 |
C | - turbulent and radiative surface buoyancy forcing, | |
| 23 |
C | bo and bosol | |
| 24 |
C | - velocity shear relative to surface squared (this is | |
| 25 |
C | not really a surface affected quantity unless it is | |
| 26 |
C | computed with respect to some resolution independent | |
| 27 |
C | reference level, that is KPP_ESTIMATE_UREF defined ) | |
| 28 |
C |==========================================================| |
| 29 |
C \==========================================================/ |
| 30 |
IMPLICIT NONE |
| 31 |
|
| 32 |
c taux / rho = surfForcU (N/m^2) |
| 33 |
c tauy / rho = surfForcV (N/m^2) |
| 34 |
c ustar = sqrt( sqrt( taux^2 + tauy^2 ) / rho ) (m/s) |
| 35 |
c bo = - g * ( alpha*surfForcT + |
| 36 |
c beta *surfForcS ) / rho (m^2/s^3) |
| 37 |
c bosol = - g * alpha * Qsw * drF(1) / rho (m^2/s^3) |
| 38 |
c------------------------------------------------------------------------ |
| 39 |
|
| 40 |
c \ev |
| 41 |
|
| 42 |
C !USES: =============================================================== |
| 43 |
#include "SIZE.h" |
| 44 |
#include "EEPARAMS.h" |
| 45 |
#include "PARAMS.h" |
| 46 |
#include "GRID.h" |
| 47 |
#include "DYNVARS.h" |
| 48 |
#include "KPP_PARAMS.h" |
| 49 |
|
| 50 |
C !INPUT PARAMETERS: =================================================== |
| 51 |
C Routine arguments |
| 52 |
C ikppkeyb - key for storing trajectory for adjoint (taf) |
| 53 |
c imin, imax, jmin, jmax - array computation indices |
| 54 |
C bi, bj - array indices on which to apply calculations |
| 55 |
C myTime - Current time in simulation |
| 56 |
C myThid - Current thread id |
| 57 |
c rhoSurf- density of surface layer (kg/m^3) |
| 58 |
C surfForcU units are r_unit.m/s^2 (=m^2/s^2 if r=z) |
| 59 |
C surfForcV units are r_unit.m/s^2 (=m^2/s^-2 if r=z) |
| 60 |
C surfForcS units are r_unit.psu/s (=psu.m/s if r=z) |
| 61 |
C - EmPmR * S_surf plus salinity relaxation*drF(1) |
| 62 |
C surfForcT units are r_unit.Kelvin/s (=Kelvin.m/s if r=z) |
| 63 |
C - Qnet (+Qsw) plus temp. relaxation*drF(1) |
| 64 |
C -> calculate -lambda*(T(model)-T(clim)) |
| 65 |
C Qnet assumed to be net heat flux including ShortWave rad. |
| 66 |
C surfForcTice |
| 67 |
C - equivalent Temperature flux in the top level that corresponds |
| 68 |
C to the melting or freezing of sea-ice. |
| 69 |
C Note that the surface level temperature is modified |
| 70 |
C directly by the sea-ice model in order to maintain |
| 71 |
C water temperature under sea-ice at the freezing |
| 72 |
C point. But we need to keep track of the |
| 73 |
C equivalent amount of heat that this surface-level |
| 74 |
C temperature change implies because it is used by |
| 75 |
C the KPP package (kpp_calc.F and kpp_transport_t.F). |
| 76 |
C Units are r_unit.K/s (=Kelvin.m/s if r=z) (>0 for ocean warming). |
| 77 |
C |
| 78 |
C Qsw - surface shortwave radiation (upwards positive) |
| 79 |
C ttalpha - thermal expansion coefficient without 1/rho factor |
| 80 |
C d(rho{k,k})/d(T(k)) (kg/m^3/C) |
| 81 |
C ssbeta - salt expansion coefficient without 1/rho factor |
| 82 |
C d(rho{k,k})/d(S(k)) (kg/m^3/PSU) |
| 83 |
|
| 84 |
C ustar (nx,ny) - surface friction velocity (m/s) |
| 85 |
C bo (nx,ny) - surface turbulent buoyancy forcing (m^2/s^3) |
| 86 |
C bosol (nx,ny) - surface radiative buoyancy forcing (m^2/s^3) |
| 87 |
C dVsq (nx,ny,Nr) - velocity shear re surface squared |
| 88 |
C at grid levels for bldepth (m^2/s^2) |
| 89 |
|
| 90 |
INTEGER ikppkey |
| 91 |
INTEGER iMin, iMax, jMin, jMax |
| 92 |
INTEGER bi, bj |
| 93 |
INTEGER myThid |
| 94 |
_RL myTime |
| 95 |
|
| 96 |
_RL rhoSurf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 97 |
_RL surfForcU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 98 |
_RL surfForcV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 99 |
_RL surfForcT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 100 |
_RL surfForcS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 101 |
_RL surfForcTice(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 102 |
_RL Qsw (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 103 |
_RL TTALPHA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nrp1) |
| 104 |
_RL SSBETA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nrp1) |
| 105 |
|
| 106 |
_RL ustar ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
| 107 |
_RL bo ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
| 108 |
_RL bosol ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
| 109 |
_RL dVsq ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
| 110 |
|
| 111 |
C !LOCAL VARIABLES: ==================================================== |
| 112 |
c Local constants |
| 113 |
c minusone, p0, p5, p25, p125, p0625 |
| 114 |
_RL p0 , p5 , p125 |
| 115 |
parameter( p0=0.0, p5=0.5, p125=0.125 ) |
| 116 |
integer i, j, k, im1, ip1, jm1, jp1 |
| 117 |
_RL tempvar2 |
| 118 |
|
| 119 |
_RL work3 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
| 120 |
|
| 121 |
#ifdef KPP_ESTIMATE_UREF |
| 122 |
_RL tempvar1, dBdz1, dBdz2, ustarX, ustarY |
| 123 |
_RL z0 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
| 124 |
_RL zRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
| 125 |
_RL uRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
| 126 |
_RL vRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
| 127 |
#endif |
| 128 |
CEOP |
| 129 |
|
| 130 |
c------------------------------------------------------------------------ |
| 131 |
c friction velocity, turbulent and radiative surface buoyancy forcing |
| 132 |
c ------------------------------------------------------------------- |
| 133 |
c taux / rho = surfForcU (N/m^2) |
| 134 |
c tauy / rho = surfForcV (N/m^2) |
| 135 |
c ustar = sqrt( sqrt( taux^2 + tauy^2 ) / rho ) (m/s) |
| 136 |
c bo = - g * ( alpha*surfForcT + |
| 137 |
c beta *surfForcS ) / rho (m^2/s^3) |
| 138 |
c bosol = - g * alpha * Qsw * drF(1) / rho (m^2/s^3) |
| 139 |
c------------------------------------------------------------------------ |
| 140 |
|
| 141 |
c initialize arrays to zero |
| 142 |
DO j = 1-OLy, sNy+OLy |
| 143 |
DO i = 1-OLx, sNx+OLx |
| 144 |
ustar(i,j) = p0 |
| 145 |
bo (I,J) = p0 |
| 146 |
bosol(I,J) = p0 |
| 147 |
END DO |
| 148 |
END DO |
| 149 |
|
| 150 |
DO j = jmin, jmax |
| 151 |
jp1 = j + 1 |
| 152 |
DO i = imin, imax |
| 153 |
ip1 = i+1 |
| 154 |
work3(i,j) = |
| 155 |
& (surfForcU(i,j,bi,bj) + surfForcU(ip1,j,bi,bj)) * |
| 156 |
& (surfForcU(i,j,bi,bj) + surfForcU(ip1,j,bi,bj)) + |
| 157 |
& (surfForcV(i,j,bi,bj) + surfForcV(i,jp1,bi,bj)) * |
| 158 |
& (surfForcV(i,j,bi,bj) + surfForcV(i,jp1,bi,bj)) |
| 159 |
END DO |
| 160 |
END DO |
| 161 |
cph( |
| 162 |
CADJ store work3 = comlev1_kpp, key = ikppkey |
| 163 |
cph) |
| 164 |
DO j = jmin, jmax |
| 165 |
jp1 = j + 1 |
| 166 |
DO i = imin, imax |
| 167 |
ip1 = i+1 |
| 168 |
|
| 169 |
if ( work3(i,j) .lt. (phepsi*phepsi*drF(1)*drF(1)) ) then |
| 170 |
ustar(i,j) = SQRT( phepsi * p5 * drF(1) ) |
| 171 |
else |
| 172 |
tempVar2 = SQRT( work3(i,j) ) * p5 |
| 173 |
ustar(i,j) = SQRT( tempVar2 ) |
| 174 |
endif |
| 175 |
|
| 176 |
END DO |
| 177 |
END DO |
| 178 |
|
| 179 |
DO j = jmin, jmax |
| 180 |
jp1 = j + 1 |
| 181 |
DO i = imin, imax |
| 182 |
ip1 = i+1 |
| 183 |
|
| 184 |
bo(I,J) = - gravity * |
| 185 |
& ( TTALPHA(I,J,1) * (surfForcT(i,j,bi,bj)+ |
| 186 |
& surfForcTice(i,j,bi,bj)) + |
| 187 |
& SSBETA(I,J,1) * surfForcS(i,j,bi,bj) ) |
| 188 |
& / rhoSurf(I,J) |
| 189 |
|
| 190 |
bosol(I,J) = gravity * TTALPHA(I,J,1) * Qsw(i,j,bi,bj) * |
| 191 |
& recip_Cp*recip_rhoConst |
| 192 |
& / rhoSurf(I,J) |
| 193 |
|
| 194 |
END DO |
| 195 |
END DO |
| 196 |
cph( |
| 197 |
CADJ store ustar = comlev1_kpp, key = ikppkey |
| 198 |
cph) |
| 199 |
|
| 200 |
c------------------------------------------------------------------------ |
| 201 |
c velocity shear |
| 202 |
c -------------- |
| 203 |
c Get velocity shear squared, averaged from "u,v-grid" |
| 204 |
c onto "t-grid" (in (m/s)**2): |
| 205 |
c dVsq(k)=(Uref-U(k))**2+(Vref-V(k))**2 at grid levels |
| 206 |
c------------------------------------------------------------------------ |
| 207 |
|
| 208 |
c initialize arrays to zero |
| 209 |
DO k = 1, Nr |
| 210 |
DO j = 1-OLy, sNy+OLy |
| 211 |
DO i = 1-OLx, sNx+OLx |
| 212 |
dVsq(i,j,k) = p0 |
| 213 |
END DO |
| 214 |
END DO |
| 215 |
END DO |
| 216 |
|
| 217 |
c dVsq computation |
| 218 |
|
| 219 |
#ifdef KPP_ESTIMATE_UREF |
| 220 |
|
| 221 |
c Get rid of vertical resolution dependence of dVsq term by |
| 222 |
c estimating a surface velocity that is independent of first level |
| 223 |
c thickness in the model. First determine mixed layer depth hMix. |
| 224 |
c Second zRef = espilon * hMix. Third determine roughness length |
| 225 |
c scale z0. Third estimate reference velocity. |
| 226 |
|
| 227 |
DO j = jmin, jmax |
| 228 |
jp1 = j + 1 |
| 229 |
DO i = imin, imax |
| 230 |
ip1 = i + 1 |
| 231 |
|
| 232 |
c Determine mixed layer depth hMix as the shallowest depth at which |
| 233 |
c dB/dz exceeds 5.2e-5 s^-2. |
| 234 |
work1(i,j) = nzmax(i,j,bi,bj) |
| 235 |
DO k = 1, Nr |
| 236 |
IF ( k .LT. nzmax(i,j,bi,bj) .AND. |
| 237 |
& maskC(I,J,k,bi,bj) .GT. 0. .AND. |
| 238 |
& dbloc(i,j,k) / drC(k+1) .GT. dB_dz ) |
| 239 |
& work1(i,j) = k |
| 240 |
ENDDO |
| 241 |
|
| 242 |
c Linearly interpolate to find hMix. |
| 243 |
k = work1(i,j) |
| 244 |
IF ( k .EQ. 0 .OR. nzmax(i,j,bi,bj) .EQ. 1 ) THEN |
| 245 |
zRef(i,j) = p0 |
| 246 |
ELSEIF ( k .EQ. 1) THEN |
| 247 |
dBdz2 = dbloc(i,j,1) / drC(2) |
| 248 |
zRef(i,j) = drF(1) * dB_dz / dBdz2 |
| 249 |
ELSEIF ( k .LT. nzmax(i,j,bi,bj) ) THEN |
| 250 |
dBdz1 = dbloc(i,j,k-1) / drC(k ) |
| 251 |
dBdz2 = dbloc(i,j,k ) / drC(k+1) |
| 252 |
zRef(i,j) = rF(k) + drF(k) * (dB_dz - dBdz1) / |
| 253 |
& MAX ( phepsi, dBdz2 - dBdz1 ) |
| 254 |
ELSE |
| 255 |
zRef(i,j) = rF(k+1) |
| 256 |
ENDIF |
| 257 |
|
| 258 |
c Compute roughness length scale z0 subject to 0 < z0 |
| 259 |
tempVar1 = p5 * ( |
| 260 |
& (uVel(i, j, 1,bi,bj)-uVel(i, j, 2,bi,bj)) * |
| 261 |
& (uVel(i, j, 1,bi,bj)-uVel(i, j, 2,bi,bj)) + |
| 262 |
& (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, 2,bi,bj)) * |
| 263 |
& (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, 2,bi,bj)) + |
| 264 |
& (vVel(i, j, 1,bi,bj)-vVel(i, j, 2,bi,bj)) * |
| 265 |
& (vVel(i, j, 1,bi,bj)-vVel(i, j, 2,bi,bj)) + |
| 266 |
& (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,2,bi,bj)) * |
| 267 |
& (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,2,bi,bj)) ) |
| 268 |
IF ( tempVar1 .lt. (epsln*epsln) ) THEN |
| 269 |
tempVar2 = epsln |
| 270 |
ELSE |
| 271 |
tempVar2 = SQRT ( tempVar1 ) |
| 272 |
ENDIF |
| 273 |
z0(i,j) = rF(2) * |
| 274 |
& ( rF(3) * LOG ( rF(3) / rF(2) ) / |
| 275 |
& ( rF(3) - rF(2) ) - |
| 276 |
& tempVar2 * vonK / |
| 277 |
& MAX ( ustar(i,j), phepsi ) ) |
| 278 |
z0(i,j) = MAX ( z0(i,j), phepsi ) |
| 279 |
|
| 280 |
c zRef is set to 0.1 * hMix subject to z0 <= zRef <= drF(1) |
| 281 |
zRef(i,j) = MAX ( epsilon * zRef(i,j), z0(i,j) ) |
| 282 |
zRef(i,j) = MIN ( zRef(i,j), drF(1) ) |
| 283 |
|
| 284 |
c Estimate reference velocity uRef and vRef. |
| 285 |
uRef(i,j) = p5 * ( uVel(i,j,1,bi,bj) + uVel(ip1,j,1,bi,bj) ) |
| 286 |
vRef(i,j) = p5 * ( vVel(i,j,1,bi,bj) + vVel(i,jp1,1,bi,bj) ) |
| 287 |
IF ( zRef(i,j) .LT. drF(1) ) THEN |
| 288 |
ustarX = ( surfForcU(i, j,bi,bj) + |
| 289 |
& surfForcU(ip1,j,bi,bj) ) * p5 *recip_drF(1) |
| 290 |
ustarY = ( surfForcV(i,j, bi,bj) + |
| 291 |
& surfForcV(i,jp1,bi,bj) ) * p5 *recip_drF(1) |
| 292 |
tempVar1 = ustarX * ustarX + ustarY * ustarY |
| 293 |
if ( tempVar1 .lt. (epsln*epsln) ) then |
| 294 |
tempVar2 = epsln |
| 295 |
else |
| 296 |
tempVar2 = SQRT ( tempVar1 ) |
| 297 |
endif |
| 298 |
tempVar2 = ustar(i,j) * |
| 299 |
& ( LOG ( zRef(i,j) / rF(2) ) + |
| 300 |
& z0(i,j) / zRef(i,j) - z0(i,j) / rF(2) ) / |
| 301 |
& vonK / tempVar2 |
| 302 |
uRef(i,j) = uRef(i,j) + ustarX * tempVar2 |
| 303 |
vRef(i,j) = vRef(i,j) + ustarY * tempVar2 |
| 304 |
ENDIF |
| 305 |
|
| 306 |
ENDDO |
| 307 |
ENDDO |
| 308 |
|
| 309 |
DO k = 1, Nr |
| 310 |
DO j = jmin, jmax |
| 311 |
jm1 = j - 1 |
| 312 |
jp1 = j + 1 |
| 313 |
DO i = imin, imax |
| 314 |
im1 = i - 1 |
| 315 |
ip1 = i + 1 |
| 316 |
dVsq(i,j,k) = p5 * ( |
| 317 |
$ (uRef(i,j) - uVel(i, j, k,bi,bj)) * |
| 318 |
$ (uRef(i,j) - uVel(i, j, k,bi,bj)) + |
| 319 |
$ (uRef(i,j) - uVel(ip1,j, k,bi,bj)) * |
| 320 |
$ (uRef(i,j) - uVel(ip1,j, k,bi,bj)) + |
| 321 |
$ (vRef(i,j) - vVel(i, j, k,bi,bj)) * |
| 322 |
$ (vRef(i,j) - vVel(i, j, k,bi,bj)) + |
| 323 |
$ (vRef(i,j) - vVel(i, jp1,k,bi,bj)) * |
| 324 |
$ (vRef(i,j) - vVel(i, jp1,k,bi,bj)) ) |
| 325 |
#ifdef KPP_SMOOTH_DVSQ |
| 326 |
dVsq(i,j,k) = p5 * dVsq(i,j,k) + p125 * ( |
| 327 |
$ (uRef(i,j) - uVel(i, jm1,k,bi,bj)) * |
| 328 |
$ (uRef(i,j) - uVel(i, jm1,k,bi,bj)) + |
| 329 |
$ (uRef(i,j) - uVel(ip1,jm1,k,bi,bj)) * |
| 330 |
$ (uRef(i,j) - uVel(ip1,jm1,k,bi,bj)) + |
| 331 |
$ (uRef(i,j) - uVel(i, jp1,k,bi,bj)) * |
| 332 |
$ (uRef(i,j) - uVel(i, jp1,k,bi,bj)) + |
| 333 |
$ (uRef(i,j) - uVel(ip1,jp1,k,bi,bj)) * |
| 334 |
$ (uRef(i,j) - uVel(ip1,jp1,k,bi,bj)) + |
| 335 |
$ (vRef(i,j) - vVel(im1,j, k,bi,bj)) * |
| 336 |
$ (vRef(i,j) - vVel(im1,j, k,bi,bj)) + |
| 337 |
$ (vRef(i,j) - vVel(im1,jp1,k,bi,bj)) * |
| 338 |
$ (vRef(i,j) - vVel(im1,jp1,k,bi,bj)) + |
| 339 |
$ (vRef(i,j) - vVel(ip1,j, k,bi,bj)) * |
| 340 |
$ (vRef(i,j) - vVel(ip1,j, k,bi,bj)) + |
| 341 |
$ (vRef(i,j) - vVel(ip1,jp1,k,bi,bj)) * |
| 342 |
$ (vRef(i,j) - vVel(ip1,jp1,k,bi,bj)) ) |
| 343 |
#endif /* KPP_SMOOTH_DVSQ */ |
| 344 |
ENDDO |
| 345 |
ENDDO |
| 346 |
ENDDO |
| 347 |
|
| 348 |
#else /* KPP_ESTIMATE_UREF */ |
| 349 |
|
| 350 |
DO k = 1, Nr |
| 351 |
DO j = jmin, jmax |
| 352 |
jm1 = j - 1 |
| 353 |
jp1 = j + 1 |
| 354 |
DO i = imin, imax |
| 355 |
im1 = i - 1 |
| 356 |
ip1 = i + 1 |
| 357 |
dVsq(i,j,k) = p5 * ( |
| 358 |
$ (uVel(i, j, 1,bi,bj)-uVel(i, j, k,bi,bj)) * |
| 359 |
$ (uVel(i, j, 1,bi,bj)-uVel(i, j, k,bi,bj)) + |
| 360 |
$ (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, k,bi,bj)) * |
| 361 |
$ (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, k,bi,bj)) + |
| 362 |
$ (vVel(i, j, 1,bi,bj)-vVel(i, j, k,bi,bj)) * |
| 363 |
$ (vVel(i, j, 1,bi,bj)-vVel(i, j, k,bi,bj)) + |
| 364 |
$ (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,k,bi,bj)) * |
| 365 |
$ (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,k,bi,bj)) ) |
| 366 |
#ifdef KPP_SMOOTH_DVSQ |
| 367 |
dVsq(i,j,k) = p5 * dVsq(i,j,k) + p125 * ( |
| 368 |
$ (uVel(i, jm1,1,bi,bj)-uVel(i, jm1,k,bi,bj)) * |
| 369 |
$ (uVel(i, jm1,1,bi,bj)-uVel(i, jm1,k,bi,bj)) + |
| 370 |
$ (uVel(ip1,jm1,1,bi,bj)-uVel(ip1,jm1,k,bi,bj)) * |
| 371 |
$ (uVel(ip1,jm1,1,bi,bj)-uVel(ip1,jm1,k,bi,bj)) + |
| 372 |
$ (uVel(i, jp1,1,bi,bj)-uVel(i, jp1,k,bi,bj)) * |
| 373 |
$ (uVel(i, jp1,1,bi,bj)-uVel(i, jp1,k,bi,bj)) + |
| 374 |
$ (uVel(ip1,jp1,1,bi,bj)-uVel(ip1,jp1,k,bi,bj)) * |
| 375 |
$ (uVel(ip1,jp1,1,bi,bj)-uVel(ip1,jp1,k,bi,bj)) + |
| 376 |
$ (vVel(im1,j, 1,bi,bj)-vVel(im1,j, k,bi,bj)) * |
| 377 |
$ (vVel(im1,j, 1,bi,bj)-vVel(im1,j, k,bi,bj)) + |
| 378 |
$ (vVel(im1,jp1,1,bi,bj)-vVel(im1,jp1,k,bi,bj)) * |
| 379 |
$ (vVel(im1,jp1,1,bi,bj)-vVel(im1,jp1,k,bi,bj)) + |
| 380 |
$ (vVel(ip1,j, 1,bi,bj)-vVel(ip1,j, k,bi,bj)) * |
| 381 |
$ (vVel(ip1,j, 1,bi,bj)-vVel(ip1,j, k,bi,bj)) + |
| 382 |
$ (vVel(ip1,jp1,1,bi,bj)-vVel(ip1,jp1,k,bi,bj)) * |
| 383 |
$ (vVel(ip1,jp1,1,bi,bj)-vVel(ip1,jp1,k,bi,bj)) ) |
| 384 |
#endif /* KPP_SMOOTH_DVSQ */ |
| 385 |
ENDDO |
| 386 |
ENDDO |
| 387 |
ENDDO |
| 388 |
|
| 389 |
#endif /* KPP_ESTIMATE_UREF */ |
| 390 |
|
| 391 |
RETURN |
| 392 |
END |
| 393 |
|
Parent Directory
| 
Revision Log
| 
Revision Graph