| 1 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/dynamics.F,v 1.10 1998/05/28 16:19:50 adcroft Exp $ |
| 2 |
|
| 3 |
#include "CPP_EEOPTIONS.h" |
| 4 |
|
| 5 |
SUBROUTINE DYNAMICS(myTime, myIter, myThid) |
| 6 |
C /==========================================================\ |
| 7 |
C | SUBROUTINE DYNAMICS | |
| 8 |
C | o Controlling routine for the explicit part of the model | |
| 9 |
C | dynamics. | |
| 10 |
C |==========================================================| |
| 11 |
C | This routine evaluates the "dynamics" terms for each | |
| 12 |
C | block of ocean in turn. Because the blocks of ocean have | |
| 13 |
C | overlap regions they are independent of one another. | |
| 14 |
C | If terms involving lateral integrals are needed in this | |
| 15 |
C | routine care will be needed. Similarly finite-difference | |
| 16 |
C | operations with stencils wider than the overlap region | |
| 17 |
C | require special consideration. | |
| 18 |
C | Notes | |
| 19 |
C | ===== | |
| 20 |
C | C*P* comments indicating place holders for which code is | |
| 21 |
C | presently being developed. | |
| 22 |
C \==========================================================/ |
| 23 |
|
| 24 |
C == Global variables === |
| 25 |
#include "SIZE.h" |
| 26 |
#include "EEPARAMS.h" |
| 27 |
#include "CG2D.h" |
| 28 |
#include "PARAMS.h" |
| 29 |
#include "DYNVARS.h" |
| 30 |
|
| 31 |
C == Routine arguments == |
| 32 |
C myTime - Current time in simulation |
| 33 |
C myIter - Current iteration number in simulation |
| 34 |
C myThid - Thread number for this instance of the routine. |
| 35 |
INTEGER myThid |
| 36 |
_RL myTime |
| 37 |
INTEGER myIter |
| 38 |
|
| 39 |
C == Local variables |
| 40 |
C xA, yA - Per block temporaries holding face areas |
| 41 |
C uTrans, vTrans, wTrans - Per block temporaries holding flow transport |
| 42 |
C o uTrans: Zonal transport |
| 43 |
C o vTrans: Meridional transport |
| 44 |
C o wTrans: Vertical transport |
| 45 |
C maskC,maskUp o maskC: land/water mask for tracer cells |
| 46 |
C o maskUp: land/water mask for W points |
| 47 |
C aTerm, xTerm, cTerm - Work arrays for holding separate terms in |
| 48 |
C mTerm, pTerm, tendency equations. |
| 49 |
C fZon, fMer, fVer[STUV] o aTerm: Advection term |
| 50 |
C o xTerm: Mixing term |
| 51 |
C o cTerm: Coriolis term |
| 52 |
C o mTerm: Metric term |
| 53 |
C o pTerm: Pressure term |
| 54 |
C o fZon: Zonal flux term |
| 55 |
C o fMer: Meridional flux term |
| 56 |
C o fVer: Vertical flux term - note fVer |
| 57 |
C is "pipelined" in the vertical |
| 58 |
C so we need an fVer for each |
| 59 |
C variable. |
| 60 |
C iMin, iMax - Ranges and sub-block indices on which calculations |
| 61 |
C jMin, jMax are applied. |
| 62 |
C bi, bj |
| 63 |
C k, kUp, kDown, kM1 - Index for layer above and below. kUp and kDown |
| 64 |
C are switched with layer to be the appropriate index |
| 65 |
C into fVerTerm |
| 66 |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 67 |
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 68 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 69 |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 70 |
_RL wTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 71 |
_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 72 |
_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 73 |
_RL aTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 74 |
_RL xTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 75 |
_RL cTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 76 |
_RL mTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 77 |
_RL pTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 78 |
_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 79 |
_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 80 |
_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 81 |
_RL fVerS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 82 |
_RL fVerU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 83 |
_RL fVerV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 84 |
_RL pH (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
| 85 |
_RL rhokm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 86 |
_RL rhokp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 87 |
_RL rhotmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 88 |
_RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 89 |
_RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 90 |
_RL K13 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
| 91 |
_RL K23 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
| 92 |
_RL K33 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
| 93 |
_RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 94 |
INTEGER iMin, iMax |
| 95 |
INTEGER jMin, jMax |
| 96 |
INTEGER bi, bj |
| 97 |
INTEGER i, j |
| 98 |
INTEGER k, kM1, kUp, kDown |
| 99 |
|
| 100 |
C--- The algorithm... |
| 101 |
C |
| 102 |
C "Correction Step" |
| 103 |
C ================= |
| 104 |
C Here we update the horizontal velocities with the surface |
| 105 |
C pressure such that the resulting flow is either consistent |
| 106 |
C with the free-surface evolution or the rigid-lid: |
| 107 |
C U[n] = U* + dt x d/dx P |
| 108 |
C V[n] = V* + dt x d/dy P |
| 109 |
C With implicit diffusion, the tracers must also be "finalized" |
| 110 |
C (1 + dt * K * d_zz) theta[n] = theta* |
| 111 |
C (1 + dt * K * d_zz) salt[n] = salt* |
| 112 |
C |
| 113 |
C "Calculation of Gs" |
| 114 |
C =================== |
| 115 |
C This is where all the accelerations and tendencies (ie. |
| 116 |
C physics, parameterizations etc...) are calculated |
| 117 |
C w = sum_z ( div. u[n] ) |
| 118 |
C rho = rho ( theta[n], salt[n] ) |
| 119 |
C K31 = K31 ( rho ) |
| 120 |
C Gu[n] = Gu( u[n], v[n], w, rho, Ph, ... ) |
| 121 |
C Gv[n] = Gv( u[n], v[n], w, rho, Ph, ... ) |
| 122 |
C Gt[n] = Gt( theta[n], u[n], v[n], w, K31, ... ) |
| 123 |
C Gs[n] = Gs( salt[n], u[n], v[n], w, K31, ... ) |
| 124 |
C |
| 125 |
C "Time-stepping" or "Predicition" |
| 126 |
C ================================ |
| 127 |
C The models variables are stepped forward with the appropriate |
| 128 |
C time-stepping scheme (currently we use Adams-Bashforth II) |
| 129 |
C - For momentum, the result is always *only* a "prediction" |
| 130 |
C in that the flow may be divergent and will be "corrected" |
| 131 |
C later with a surface pressure gradient. |
| 132 |
C - Normally for tracers the result is the new field at time |
| 133 |
C level [n+1} *BUT* in the case of implicit diffusion the result |
| 134 |
C is also *only* a prediction. |
| 135 |
C - We denote "predictors" with an asterisk (*). |
| 136 |
C U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] ) |
| 137 |
C V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] ) |
| 138 |
C theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
| 139 |
C salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
| 140 |
C or with implicit diffusion |
| 141 |
C theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
| 142 |
C |
| 143 |
C salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
| 144 |
C--- |
| 145 |
|
| 146 |
|
| 147 |
C-- Set up work arrays with valid (i.e. not NaN) values |
| 148 |
C These inital values do not alter the numerical results. They |
| 149 |
C just ensure that all memory references are to valid floating |
| 150 |
C point numbers. This prevents spurious hardware signals due to |
| 151 |
C uninitialised but inert locations. |
| 152 |
DO j=1-OLy,sNy+OLy |
| 153 |
DO i=1-OLx,sNx+OLx |
| 154 |
xA(i,j) = 0. _d 0 |
| 155 |
yA(i,j) = 0. _d 0 |
| 156 |
uTrans(i,j) = 0. _d 0 |
| 157 |
vTrans(i,j) = 0. _d 0 |
| 158 |
aTerm(i,j) = 0. _d 0 |
| 159 |
xTerm(i,j) = 0. _d 0 |
| 160 |
cTerm(i,j) = 0. _d 0 |
| 161 |
mTerm(i,j) = 0. _d 0 |
| 162 |
pTerm(i,j) = 0. _d 0 |
| 163 |
fZon(i,j) = 0. _d 0 |
| 164 |
fMer(i,j) = 0. _d 0 |
| 165 |
DO K=1,nZ |
| 166 |
pH (i,j,k) = 0. _d 0 |
| 167 |
K13(i,j,k) = 0. _d 0 |
| 168 |
K23(i,j,k) = 0. _d 0 |
| 169 |
K33(i,j,k) = 0. _d 0 |
| 170 |
ENDDO |
| 171 |
rhokm1(i,j) = 0. _d 0 |
| 172 |
rhokp1(i,j) = 0. _d 0 |
| 173 |
rhotmp(i,j) = 0. _d 0 |
| 174 |
ENDDO |
| 175 |
ENDDO |
| 176 |
|
| 177 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 178 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 179 |
|
| 180 |
C-- Set up work arrays that need valid initial values |
| 181 |
DO j=1-OLy,sNy+OLy |
| 182 |
DO i=1-OLx,sNx+OLx |
| 183 |
wTrans(i,j) = 0. _d 0 |
| 184 |
fVerT(i,j,1) = 0. _d 0 |
| 185 |
fVerT(i,j,2) = 0. _d 0 |
| 186 |
fVerS(i,j,1) = 0. _d 0 |
| 187 |
fVerS(i,j,2) = 0. _d 0 |
| 188 |
fVerU(i,j,1) = 0. _d 0 |
| 189 |
fVerU(i,j,2) = 0. _d 0 |
| 190 |
fVerV(i,j,1) = 0. _d 0 |
| 191 |
fVerV(i,j,2) = 0. _d 0 |
| 192 |
pH(i,j,1) = 0. _d 0 |
| 193 |
K13(i,j,1) = 0. _d 0 |
| 194 |
K23(i,j,1) = 0. _d 0 |
| 195 |
K33(i,j,1) = 0. _d 0 |
| 196 |
KapGM(i,j) = 0. _d 0 |
| 197 |
ENDDO |
| 198 |
ENDDO |
| 199 |
|
| 200 |
iMin = 1-OLx+1 |
| 201 |
iMax = sNx+OLx |
| 202 |
jMin = 1-OLy+1 |
| 203 |
jMax = sNy+OLy |
| 204 |
|
| 205 |
C-- Calculate gradient of surface pressure |
| 206 |
CALL GRAD_PSURF( |
| 207 |
I bi,bj,iMin,iMax,jMin,jMax, |
| 208 |
O pSurfX,pSurfY, |
| 209 |
I myThid) |
| 210 |
|
| 211 |
C-- Update fields in top level according to tendency terms |
| 212 |
CALL CORRECTION_STEP( |
| 213 |
I bi,bj,iMin,iMax,jMin,jMax,1,pSurfX,pSurfY,myThid) |
| 214 |
|
| 215 |
C-- Density of 1st level (below W(1)) reference to level 1 |
| 216 |
CALL FIND_RHO( |
| 217 |
I bi, bj, iMin, iMax, jMin, jMax, 1, 1, eosType, |
| 218 |
O rhoKm1, |
| 219 |
I myThid ) |
| 220 |
C-- Integrate hydrostatic balance for pH with BC of pH(z=0)=0 |
| 221 |
CALL CALC_PH( |
| 222 |
I bi,bj,iMin,iMax,jMin,jMax,1,rhoKm1,rhoKm1, |
| 223 |
U pH, |
| 224 |
I myThid ) |
| 225 |
DO J=1-Oly,sNy+Oly |
| 226 |
DO I=1-Olx,sNx+Olx |
| 227 |
rhoKp1(I,J)=rhoKm1(I,J) |
| 228 |
ENDDO |
| 229 |
ENDDO |
| 230 |
|
| 231 |
DO K=2,Nz |
| 232 |
C-- Update fields in Kth level according to tendency terms |
| 233 |
CALL CORRECTION_STEP( |
| 234 |
I bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid) |
| 235 |
C-- Density of K-1 level (above W(K)) reference to K-1 level |
| 236 |
copt CALL FIND_RHO( |
| 237 |
copt I bi, bj, iMin, iMax, jMin, jMax, K-1, K-1, eosType, |
| 238 |
copt O rhoKm1, |
| 239 |
copt I myThid ) |
| 240 |
C rhoKm1=rhoKp1 |
| 241 |
DO J=1-Oly,sNy+Oly |
| 242 |
DO I=1-Olx,sNx+Olx |
| 243 |
rhoKm1(I,J)=rhoKp1(I,J) |
| 244 |
ENDDO |
| 245 |
ENDDO |
| 246 |
C-- Density of K level (below W(K)) reference to K level |
| 247 |
CALL FIND_RHO( |
| 248 |
I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, |
| 249 |
O rhoKp1, |
| 250 |
I myThid ) |
| 251 |
C-- Density of K-1 level (above W(K)) reference to K level |
| 252 |
CALL FIND_RHO( |
| 253 |
I bi, bj, iMin, iMax, jMin, jMax, K-1, K, eosType, |
| 254 |
O rhotmp, |
| 255 |
I myThid ) |
| 256 |
C-- Calculate iso-neutral slopes for the GM/Redi parameterisation |
| 257 |
CALL CALC_ISOSLOPES( |
| 258 |
I bi, bj, iMin, iMax, jMin, jMax, K, |
| 259 |
I rhoKm1, rhoKp1, rhotmp, |
| 260 |
O K13, K23, K33, KapGM, |
| 261 |
I myThid ) |
| 262 |
C-- Calculate static stability and mix where convectively unstable |
| 263 |
CALL CONVECT( |
| 264 |
I bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKp1, |
| 265 |
I myTime,myIter,myThid) |
| 266 |
C-- Density of K-1 level (above W(K)) reference to K-1 level |
| 267 |
CALL FIND_RHO( |
| 268 |
I bi, bj, iMin, iMax, jMin, jMax, K-1, K-1, eosType, |
| 269 |
O rhoKm1, |
| 270 |
I myThid ) |
| 271 |
C-- Density of K level (below W(K)) referenced to K level |
| 272 |
CALL FIND_RHO( |
| 273 |
I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, |
| 274 |
O rhoKp1, |
| 275 |
I myThid ) |
| 276 |
C-- Integrate hydrostatic balance for pH with BC of pH(z=0)=0 |
| 277 |
CALL CALC_PH( |
| 278 |
I bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKp1, |
| 279 |
U pH, |
| 280 |
I myThid ) |
| 281 |
|
| 282 |
ENDDO ! K |
| 283 |
|
| 284 |
C-- Initial boundary condition on barotropic divergence integral |
| 285 |
DO j=1-OLy,sNy+OLy |
| 286 |
DO i=1-OLx,sNx+OLx |
| 287 |
cg2d_b(i,j,bi,bj) = 0. _d 0 |
| 288 |
ENDDO |
| 289 |
ENDDO |
| 290 |
|
| 291 |
DO K = Nz, 1, -1 |
| 292 |
kM1 =max(1,k-1) ! Points to level above k (=k-1) |
| 293 |
kUp =1+MOD(k+1,2) ! Cycles through 1,2 to point to layer above |
| 294 |
kDown=1+MOD(k,2) ! Cycles through 2,1 to point to current layer |
| 295 |
iMin = 1-OLx+2 |
| 296 |
iMax = sNx+OLx-1 |
| 297 |
jMin = 1-OLy+2 |
| 298 |
jMax = sNy+OLy-1 |
| 299 |
|
| 300 |
C-- Get temporary terms used by tendency routines |
| 301 |
CALL CALC_COMMON_FACTORS ( |
| 302 |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
| 303 |
O xA,yA,uTrans,vTrans,wTrans,maskC,maskUp, |
| 304 |
I myThid) |
| 305 |
|
| 306 |
C-- Calculate accelerations in the momentum equations |
| 307 |
IF ( momStepping ) THEN |
| 308 |
CALL CALC_MOM_RHS( |
| 309 |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
| 310 |
I xA,yA,uTrans,vTrans,wTrans,maskC, |
| 311 |
I pH, |
| 312 |
U aTerm,xTerm,cTerm,mTerm,pTerm, |
| 313 |
U fZon, fMer, fVerU, fVerV, |
| 314 |
I myThid) |
| 315 |
ENDIF |
| 316 |
|
| 317 |
C-- Calculate active tracer tendencies |
| 318 |
IF ( tempStepping ) THEN |
| 319 |
CALL CALC_GT( |
| 320 |
I bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown, |
| 321 |
I xA,yA,uTrans,vTrans,wTrans,maskUp, |
| 322 |
I K13,K23,K33,KapGM, |
| 323 |
U aTerm,xTerm,fZon,fMer,fVerT, |
| 324 |
I myThid) |
| 325 |
ENDIF |
| 326 |
Cdbg CALL CALC_GS( |
| 327 |
Cdbg I bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown, |
| 328 |
Cdbg I xA,yA,uTrans,vTrans,wTrans,maskUp, |
| 329 |
Cdbg I K13,K23,K33,KapGM, |
| 330 |
Cdbg U aTerm,xTerm,fZon,fMer,fVerS, |
| 331 |
Cdbg I myThid) |
| 332 |
|
| 333 |
C-- Prediction step (step forward all model variables) |
| 334 |
CALL TIMESTEP( |
| 335 |
I bi,bj,iMin,iMax,jMin,jMax,K, |
| 336 |
I myThid) |
| 337 |
|
| 338 |
C-- Diagnose barotropic divergence of predicted fields |
| 339 |
CALL DIV_G( |
| 340 |
I bi,bj,iMin,iMax,jMin,jMax,K, |
| 341 |
I xA,yA, |
| 342 |
I myThid) |
| 343 |
|
| 344 |
ENDDO ! K |
| 345 |
|
| 346 |
ENDDO |
| 347 |
ENDDO |
| 348 |
|
| 349 |
!dbg write(0,*) 'dynamics: pS',minval(cg2d_x),maxval(cg2d_x) |
| 350 |
!dbg write(0,*) 'dynamics: U',minval(uVel(1:sNx,1:sNy,:,:,:)), |
| 351 |
!dbg & maxval(uVel(1:sNx,1:sNy,:,:,:)) |
| 352 |
!dbg write(0,*) 'dynamics: V',minval(vVel(1:sNx,1:sNy,:,:,:)), |
| 353 |
!dbg & maxval(vVel(1:sNx,1:sNy,:,:,:)) |
| 354 |
!dbg write(0,*) 'dynamics: K13',minval(K13(1:sNx,1:sNy,:)), |
| 355 |
!dbg & maxval(K13(1:sNx,1:sNy,:)) |
| 356 |
!dbg write(0,*) 'dynamics: K23',minval(K23(1:sNx,1:sNy,:)), |
| 357 |
!dbg & maxval(K23(1:sNx,1:sNy,:)) |
| 358 |
!dbg write(0,*) 'dynamics: K33',minval(K33(1:sNx,1:sNy,:)), |
| 359 |
!dbg & maxval(K33(1:sNx,1:sNy,:)) |
| 360 |
!dbg write(0,*) 'dynamics: gT',minval(gT(1:sNx,1:sNy,:,:,:)), |
| 361 |
!dbg & maxval(gT(1:sNx,1:sNy,:,:,:)) |
| 362 |
!dbg write(0,*) 'dynamics: T',minval(Theta(1:sNx,1:sNy,:,:,:)), |
| 363 |
!dbg & maxval(Theta(1:sNx,1:sNy,:,:,:)) |
| 364 |
!dbg write(0,*) 'dynamics: pH',minval(pH/(Gravity*Rhonil)), |
| 365 |
!dbg & maxval(pH/(Gravity*Rhonil)) |
| 366 |
|
| 367 |
RETURN |
| 368 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph