| 1 |
C $Header: |
| 2 |
|
| 3 |
#include "SEAICE_OPTIONS.h" |
| 4 |
|
| 5 |
CStartOfInterface |
| 6 |
SUBROUTINE dynsolver( myTime, myIter, myThid ) |
| 7 |
C /==========================================================\ |
| 8 |
C | SUBROUTINE dynsolver | |
| 9 |
C | o Ice dynamics solver | |
| 10 |
C | See Zhang and Hibler, JGR, 102, 8691-8702, 1997 | |
| 11 |
C | Zhang and Rothrock, JGR, 105, 3325-3338, 2000 | |
| 12 |
C | and Hibler, JPO, 9, 815- 846, 1979 | |
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C |==========================================================| |
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C \==========================================================/ |
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IMPLICIT NONE |
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|
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C === Global variables === |
| 18 |
#include "SIZE.h" |
| 19 |
#include "EEPARAMS.h" |
| 20 |
#include "PARAMS.h" |
| 21 |
#include "FFIELDS.h" |
| 22 |
#include "SEAICE.h" |
| 23 |
#include "SEAICE_GRID.h" |
| 24 |
#include "SEAICE_PARAMS.h" |
| 25 |
#include "SEAICE_FFIELDS.h" |
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|
| 27 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 28 |
# include "tamc.h" |
| 29 |
#endif |
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|
| 31 |
C === Routine arguments === |
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C myTime - Simulation time |
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C myIter - Simulation timestep number |
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C myThid - Thread no. that called this routine. |
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_RL myTime |
| 36 |
INTEGER myIter |
| 37 |
INTEGER myThid |
| 38 |
CEndOfInterface |
| 39 |
|
| 40 |
#ifdef ALLOW_SEAICE |
| 41 |
|
| 42 |
C === Local variables === |
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C i,j,bi,bj - Loop counters |
| 44 |
|
| 45 |
INTEGER i, j, bi, bj, kii |
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_RL DWAT, DAIR, RHOICE, RHOAIR, SINWIN, COSWIN, SINWAT, COSWAT |
| 47 |
_RL GRAV, ECCEN, ECM2, GMIN, RADIUS, DELT1, DELT2, PSTAR, AAA |
| 48 |
_RL TEMPVAR |
| 49 |
|
| 50 |
_RL PRESS (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
| 51 |
_RL DAIRN (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
| 52 |
_RL DWATN (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_RL FORCEX0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
| 54 |
_RL FORCEY0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_RL E11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
| 56 |
_RL E22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
| 57 |
_RL E12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_RL COR_ICE (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_RL ZMAX (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_RL ZMIN (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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|
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C-- FIRST SET UP BASIC CONSTANTS |
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DWAT=0.59 _d 0 |
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DAIR=0.01462 _d 0 |
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RHOICE=0.91 _d +03 |
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RHOAIR=1.3 _d 0 |
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GRAV=9.832 _d 0 |
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ECCEN=TWO |
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ECM2=ONE/(ECCEN**2) |
| 70 |
GMIN=1.0 _d -20 |
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RADIUS=6370. _d 3 |
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PSTAR=SEAICE_strength |
| 73 |
|
| 74 |
C-- 25 DEG GIVES SIN EQUAL TO 0.4226 |
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SINWIN=0.4226 _d 0 |
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COSWIN=0.9063 _d 0 |
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SINWAT=0.4226 _d 0 |
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COSWAT=0.9063 _d 0 |
| 79 |
|
| 80 |
C-- Do not introduce turning angle |
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SINWIN=ZERO |
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COSWIN=ONE |
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SINWAT=ZERO |
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COSWAT=ONE |
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|
| 86 |
C-- NOW SET UP MASS PER UNIT AREA AND CORIOLIS TERM |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1,sNy |
| 90 |
DO i=1,sNx |
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AMASS(I,J,bi,bj)=RHOICE*QUART*(HEFF(i,j,1,bi,bj) |
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& +HEFF(i-1,j,1,bi,bj) |
| 93 |
& +HEFF(i,j-1,1,bi,bj) |
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& +HEFF(i-1,j-1,1,bi,bj)) |
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COR_ICE(I,J,bi,bj)=AMASS(I,J,bi,bj) |
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& *TWO*OMEGA*SINEICE(I,J,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
| 102 |
C-- NOW SET UP FORCING FIELDS |
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|
| 104 |
IF (SEAICEwindOnCgrid) THEN |
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C-- Wind stress computed here from wind on South-West C-grid |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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AAA=(HALF*(UWIND(I,J,bi,bj)+UWIND(I,J-1,bi,bj)))**2+ |
| 111 |
& (HALF*(VWIND(I,J,bi,bj)+VWIND(I-1,J,bi,bj)))**2 |
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IF ( AAA .LT. SEAICE_EPS_SQ ) THEN |
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AAA=SEAICE_EPS |
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ELSE |
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AAA=SQRT(AAA) |
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ENDIF |
| 117 |
DAIRN(I,J,bi,bj)=RHOAIR*SEAICE_drag* |
| 118 |
& (2.70 _d 0+0.142 _d 0*AAA+0.0764 _d 0*AAA*AAA) |
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FORCEX(I,J,bi,bj)=DAIRN(I,J,bi,bj)* |
| 120 |
& (COSWIN*HALF*(UWIND(I,J,bi,bj)+UWIND(I,J-1,bi,bj)) |
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& -SINWIN*HALF*(VWIND(I,J,bi,bj)+VWIND(I-1,J,bi,bj))) |
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FORCEY(I,J,bi,bj)=DAIRN(I,J,bi,bj)* |
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& (SINWIN*HALF*(UWIND(I,J,bi,bj)+UWIND(I,J-1,bi,bj)) |
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& +COSWIN*HALF*(VWIND(I,J,bi,bj)+VWIND(I-1,J,bi,bj))) |
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ENDDO |
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ENDDO |
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ENDDO |
| 128 |
ENDDO |
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|
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ELSE |
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C-- Wind stress computed here from wind on South-West B-grid |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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AAA=UWIND(I,J,bi,bj)**2+VWIND(I,J,bi,bj)**2 |
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IF ( AAA .LT. SEAICE_EPS_SQ ) THEN |
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AAA=SEAICE_EPS |
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ELSE |
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AAA=SQRT(AAA) |
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ENDIF |
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DAIRN(I,J,bi,bj)=RHOAIR*SEAICE_drag* |
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& (2.70 _d 0+0.142 _d 0*AAA+0.0764 _d 0*AAA*AAA) |
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FORCEX(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(COSWIN*UWIND(I,J,bi,bj) |
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& -SINWIN*VWIND(I,J,bi,bj)) |
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FORCEY(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(SINWIN*UWIND(I,J,bi,bj) |
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& +COSWIN*VWIND(I,J,bi,bj)) |
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ENDDO |
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ENDDO |
| 150 |
ENDDO |
| 151 |
ENDDO |
| 152 |
ENDIF |
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|
| 154 |
DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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C-- STORE WIND ONLY STRESS |
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WINDX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
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WINDY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
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C-- NOW ADD IN TILT |
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FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
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& -COR_ICE(I,J,bi,bj)*GWATY(I,J,bi,bj) |
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FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
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& +COR_ICE(I,J,bi,bj)*GWATX(I,J,bi,bj) |
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C-- NOW SET UP ICE PRESSURE AND VISCOSITIES |
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PRESS(I,J,bi,bj)=PSTAR*HEFF(I,J,1,bi,bj) |
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& *EXP(-20.0 _d 0*(ONE-AREA(I,J,1,bi,bj))) |
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ZMAX(I,J,bi,bj)=(5.0 _d +12/(2.0 _d +04))*PRESS(I,J,bi,bj) |
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ZMIN(I,J,bi,bj)=4.0 _d +08 |
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PRESS(I,J,bi,bj)=PRESS(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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#ifdef SEAICE_ALLOW_DYNAMICS |
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IF ( SEAICEuseDYNAMICS ) THEN |
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|
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C-- Update overlap regions for PRESS |
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_EXCH_XY_R8(PRESS, myThid) |
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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C NOW CALCULATE PRESSURE FORCE AND ADD TO EXTERNAL FORCE |
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FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
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& -(QUART/(DXUICE(I,J,bi,bj)*CSUICE(I,J,bi,bj))) |
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& *(PRESS(I,J,bi,bj)+PRESS(I,J-1,bi,bj) |
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& -PRESS(I-1,J,bi,bj)-PRESS(I-1,J-1,bi,bj)) |
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FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj)-QUART/DYUICE(I,J,bi,bj) |
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& *(PRESS(I,J,bi,bj)+PRESS(I-1,J,bi,bj) |
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& -PRESS(I,J-1,bi,bj)-PRESS(I-1,J-1,bi,bj)) |
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C NOW KEEP FORCEX0 |
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FORCEX0(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
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FORCEY0(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
| 198 |
ENDDO |
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ENDDO |
| 200 |
ENDDO |
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ENDDO |
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|
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C DO PSEUDO-TIMESTEPS TO OBTAIN AN ACCURATE VISCOUS-PLASTIC SOLUTION |
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C A RANGE OF 5-300 PSEUDO-TIMESTEPS IS SUGGESTED DEPENDING ON ACCURACY |
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C REQUIREMENTS OF SPECIFIC APPLICATION |
| 206 |
C NPSEUDO is now set in data.seaice input file |
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C TIMESTEP FOR PSEUDO-TIMESTEPPING |
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SEAICE_DT = DELTAT/NPSEUDO |
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|
| 210 |
crg what about DWAIN,DRAGS,DRAGA,ETA,ZETA |
| 211 |
|
| 212 |
crg later c$taf loop = iteration uice,vice |
| 213 |
|
| 214 |
DO 5000 KII=1,NPSEUDO |
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|
| 216 |
cdmc$taf store uice,vice = comlev1_seaice_ds, |
| 217 |
cdmc$taf& key = kii + (ikey_dynamics-1)*NPSEUDO |
| 218 |
|
| 219 |
C NOW DO PREDICTOR TIME STEP |
| 220 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 221 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 222 |
DO j=1-OLy,sNy+OLy |
| 223 |
DO i=1-OLx,sNx+OLx |
| 224 |
UICE(I,J,2,bi,bj)=UICE(I,J,1,bi,bj) |
| 225 |
VICE(I,J,2,bi,bj)=VICE(I,J,1,bi,bj) |
| 226 |
UICEC(I,J,bi,bj)=UICE(I,J,1,bi,bj) |
| 227 |
VICEC(I,J,bi,bj)=VICE(I,J,1,bi,bj) |
| 228 |
ENDDO |
| 229 |
ENDDO |
| 230 |
ENDDO |
| 231 |
ENDDO |
| 232 |
|
| 233 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 234 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 235 |
DO j=1,sNy |
| 236 |
DO i=1,sNx |
| 237 |
C NOW SET UP NON-LINEAR WATER DRAG, FORCEX, FORCEY |
| 238 |
TEMPVAR=(UICE(I,J,1,bi,bj)-GWATX(I,J,bi,bj))**2 |
| 239 |
& +(VICE(I,J,1,bi,bj)-GWATY(I,J,bi,bj))**2 |
| 240 |
IF ( TEMPVAR .LT. SEAICE_EPS_SQ ) THEN |
| 241 |
DWATN(I,J,bi,bj)=SEAICE_waterDrag*SEAICE_EPS |
| 242 |
ELSE |
| 243 |
DWATN(I,J,bi,bj)=SEAICE_waterDrag*SQRT(TEMPVAR) |
| 244 |
ENDIF |
| 245 |
DWATN(I,J,bi,bj)=MAX(DWATN(I,J,bi,bj),QUART) |
| 246 |
C NOW SET UP SYMMETTRIC DRAG |
| 247 |
DRAGS(I,J,bi,bj)=DWATN(I,J,bi,bj)*COSWAT |
| 248 |
C NOW SET UP ANTI SYMMETTRIC DRAG PLUS CORIOLIS |
| 249 |
DRAGA(I,J,bi,bj)=DWATN(I,J,bi,bj)*SINWAT+COR_ICE(I,J,bi,bj) |
| 250 |
C NOW ADD IN CURRENT FORCE |
| 251 |
FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
| 252 |
& *(COSWAT*GWATX(I,J,bi,bj) |
| 253 |
& -SINWAT*GWATY(I,J,bi,bj)) |
| 254 |
FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
| 255 |
& *(SINWAT*GWATX(I,J,bi,bj) |
| 256 |
& +COSWAT*GWATY(I,J,bi,bj)) |
| 257 |
ENDDO |
| 258 |
ENDDO |
| 259 |
ENDDO |
| 260 |
ENDDO |
| 261 |
|
| 262 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 263 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 264 |
DO j=1,sNy |
| 265 |
DO i=1,sNx |
| 266 |
C NOW EVALUATE STRAIN RATES |
| 267 |
E11(I,J,bi,bj)=HALF/(DXTICE(I,J,bi,bj)*CSTICE(I,J,bi,bj)) |
| 268 |
& *(UICE(I+1,J+1,1,bi,bj)+UICE(I+1,J,1,bi,bj) |
| 269 |
& -UICE(I,J+1,1,bi,bj)-UICE(I,J,1,bi,bj)) |
| 270 |
& -QUART*(VICE(I+1,J+1,1,bi,bj) |
| 271 |
& +VICE(I,J+1,1,bi,bj) |
| 272 |
& +VICE(I,J,1,bi,bj)+VICE(I+1,J,1,bi,bj)) |
| 273 |
& *TNGTICE(I,J,bi,bj)/RADIUS |
| 274 |
E22(I,J,bi,bj)=HALF/DYTICE(I,J,bi,bj) |
| 275 |
& *(VICE(I+1,J+1,1,bi,bj)+VICE(I,J+1,1,bi,bj) |
| 276 |
& -VICE(I+1,J,1,bi,bj)-VICE(I,J,1,bi,bj)) |
| 277 |
E12(I,J,bi,bj)=HALF*(HALF/DYTICE(I,J,bi,bj) |
| 278 |
& *(UICE(I+1,J+1,1,bi,bj)+UICE(I,J+1,1,bi,bj) |
| 279 |
& -UICE(I+1,J,1,bi,bj)-UICE(I,J,1,bi,bj)) |
| 280 |
& +HALF/(DXTICE(I,J,bi,bj)*CSTICE(I,J,bi,bj)) |
| 281 |
& *(VICE(I+1,J+1,1,bi,bj)+VICE(I+1,J,1,bi,bj) |
| 282 |
& -VICE(I,J+1,1,bi,bj)-VICE(I,J,1,bi,bj)) |
| 283 |
& +QUART*(UICE(I+1,J+1,1,bi,bj) |
| 284 |
& +UICE(I,J+1,1,bi,bj) |
| 285 |
& +UICE(I,J,1,bi,bj)+UICE(I+1,J,1,bi,bj)) |
| 286 |
& *TNGTICE(I,J,bi,bj)/RADIUS) |
| 287 |
C NOW EVALUATE VISCOSITIES |
| 288 |
DELT1=(E11(I,J,bi,bj)**2+E22(I,J,bi,bj)**2)*(ONE+ECM2) |
| 289 |
& +4.0 _d 0*ECM2*E12(I,J,bi,bj)**2 |
| 290 |
1 +TWO*E11(I,J,bi,bj)*E22(I,J,bi,bj)*(ONE-ECM2) |
| 291 |
IF ( DELT1 .LT. SEAICE_EPS_SQ ) THEN |
| 292 |
DELT2=SEAICE_EPS |
| 293 |
ELSE |
| 294 |
DELT2=SQRT(DELT1) |
| 295 |
ENDIF |
| 296 |
DELT2=MAX(GMIN,DELT2) |
| 297 |
ZETA(I,J,bi,bj)=HALF*PRESS(I,J,bi,bj)/DELT2 |
| 298 |
C NOW PUT MIN AND MAX VISCOSITIES IN |
| 299 |
ZETA(I,J,bi,bj)=MIN(ZMAX(I,J,bi,bj),ZETA(I,J,bi,bj)) |
| 300 |
ZETA(I,J,bi,bj)=MAX(ZMIN(I,J,bi,bj),ZETA(I,J,bi,bj)) |
| 301 |
C NOW SET VISCOSITIES TO ZERO AT HEFFMFLOW PTS |
| 302 |
ZETA(I,J,bi,bj)=ZETA(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 303 |
ETA(I,J,bi,bj)=ECM2*ZETA(I,J,bi,bj) |
| 304 |
ENDDO |
| 305 |
ENDDO |
| 306 |
ENDDO |
| 307 |
ENDDO |
| 308 |
|
| 309 |
C-- Update overlap regions |
| 310 |
_EXCH_XY_R8(ETA, myThid) |
| 311 |
_EXCH_XY_R8(ZETA, myThid) |
| 312 |
|
| 313 |
C NOW ADI SCHEME (ZHANG-J/ROTHROCK 1999,bi,bj) |
| 314 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 315 |
CALL ADI( myThid ) |
| 316 |
#else /* ALLOW_AUTODIFF_TAMC */ |
| 317 |
IF ( SEAICEuseLSR ) THEN |
| 318 |
CALL LSR( myThid ) |
| 319 |
ELSE |
| 320 |
CALL ADI( myThid ) |
| 321 |
ENDIF |
| 322 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 323 |
|
| 324 |
C NOW DO MODIFIED EULER STEP |
| 325 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 326 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 327 |
DO j=1-OLy,sNy+OLy |
| 328 |
DO i=1-OLx,sNx+OLx |
| 329 |
UICE(I,J,1,bi,bj)=HALF*(UICE(I,J,1,bi,bj)+UICE(I,J,2,bi,bj)) |
| 330 |
VICE(I,J,1,bi,bj)=HALF*(VICE(I,J,1,bi,bj)+VICE(I,J,2,bi,bj)) |
| 331 |
UICEC(I,J,bi,bj)=UICE(I,J,1,bi,bj) |
| 332 |
VICEC(I,J,bi,bj)=VICE(I,J,1,bi,bj) |
| 333 |
ENDDO |
| 334 |
ENDDO |
| 335 |
ENDDO |
| 336 |
ENDDO |
| 337 |
|
| 338 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 339 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 340 |
DO j=1,sNy |
| 341 |
DO i=1,sNx |
| 342 |
C NOW SET UP NON-LINEAR WATER DRAG |
| 343 |
TEMPVAR=(UICE(I,J,1,bi,bj)-GWATX(I,J,bi,bj))**2 |
| 344 |
& +(VICE(I,J,1,bi,bj)-GWATY(I,J,bi,bj))**2 |
| 345 |
IF ( TEMPVAR .LT. SEAICE_EPS_SQ ) THEN |
| 346 |
DWATN(I,J,bi,bj)=SEAICE_waterDrag*SEAICE_EPS |
| 347 |
ELSE |
| 348 |
DWATN(I,J,bi,bj)=SEAICE_waterDrag*SQRT(TEMPVAR) |
| 349 |
ENDIF |
| 350 |
DWATN(I,J,bi,bj)=MAX(DWATN(I,J,bi,bj),QUART) |
| 351 |
C NOW SET UP SYMMETTRIC DRAG |
| 352 |
DRAGS(I,J,bi,bj)=DWATN(I,J,bi,bj)*COSWAT |
| 353 |
C NOW SET UP ANTI SYMMETTRIC DRAG PLUS CORIOLIS |
| 354 |
DRAGA(I,J,bi,bj)=DWATN(I,J,bi,bj)*SINWAT+COR_ICE(I,J,bi,bj) |
| 355 |
C NOW ADD IN CURRENT FORCE |
| 356 |
FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
| 357 |
& *(COSWAT*GWATX(I,J,bi,bj) |
| 358 |
& -SINWAT*GWATY(I,J,bi,bj)) |
| 359 |
FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
| 360 |
& *(SINWAT*GWATX(I,J,bi,bj) |
| 361 |
& +COSWAT*GWATY(I,J,bi,bj)) |
| 362 |
ENDDO |
| 363 |
ENDDO |
| 364 |
ENDDO |
| 365 |
ENDDO |
| 366 |
|
| 367 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 368 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 369 |
DO j=1,sNy |
| 370 |
DO i=1,sNx |
| 371 |
C NOW EVALUATE STRAIN RATES |
| 372 |
E11(I,J,bi,bj)=HALF/(DXTICE(I,J,bi,bj)*CSTICE(I,J,bi,bj)) |
| 373 |
& *(UICE(I+1,J+1,1,bi,bj)+UICE(I+1,J,1,bi,bj) |
| 374 |
& -UICE(I,J+1,1,bi,bj)-UICE(I,J,1,bi,bj)) |
| 375 |
& -QUART*(VICE(I+1,J+1,1,bi,bj) |
| 376 |
& +VICE(I,J+1,1,bi,bj) |
| 377 |
& +VICE(I,J,1,bi,bj)+VICE(I+1,J,1,bi,bj)) |
| 378 |
& *TNGTICE(I,J,bi,bj)/RADIUS |
| 379 |
E22(I,J,bi,bj)=HALF/DYTICE(I,J,bi,bj) |
| 380 |
& *(VICE(I+1,J+1,1,bi,bj)+VICE(I,J+1,1,bi,bj) |
| 381 |
& -VICE(I+1,J,1,bi,bj)-VICE(I,J,1,bi,bj)) |
| 382 |
E12(I,J,bi,bj)=HALF*(HALF/DYTICE(I,J,bi,bj) |
| 383 |
& *(UICE(I+1,J+1,1,bi,bj)+UICE(I,J+1,1,bi,bj) |
| 384 |
& -UICE(I+1,J,1,bi,bj)-UICE(I,J,1,bi,bj)) |
| 385 |
& +HALF/(DXTICE(I,J,bi,bj)*CSTICE(I,J,bi,bj)) |
| 386 |
& *(VICE(I+1,J+1,1,bi,bj)+VICE(I+1,J,1,bi,bj) |
| 387 |
& -VICE(I,J+1,1,bi,bj)-VICE(I,J,1,bi,bj)) |
| 388 |
& +QUART*(UICE(I+1,J+1,1,bi,bj) |
| 389 |
& +UICE(I,J+1,1,bi,bj) |
| 390 |
& +UICE(I,J,1,bi,bj)+UICE(I+1,J,1,bi,bj)) |
| 391 |
& *TNGTICE(I,J,bi,bj)/RADIUS) |
| 392 |
C NOW EVALUATE VISCOSITIES |
| 393 |
DELT1=(E11(I,J,bi,bj)**2+E22(I,J,bi,bj)**2)*(ONE+ECM2) |
| 394 |
& +4. _d 0*ECM2*E12(I,J,bi,bj)**2 |
| 395 |
1 +TWO*E11(I,J,bi,bj)*E22(I,J,bi,bj)*(ONE-ECM2) |
| 396 |
IF ( DELT1 .LT. SEAICE_EPS_SQ ) THEN |
| 397 |
DELT2=SEAICE_EPS |
| 398 |
ELSE |
| 399 |
DELT2=SQRT(DELT1) |
| 400 |
ENDIF |
| 401 |
DELT2=MAX(GMIN,DELT2) |
| 402 |
ZETA(I,J,bi,bj)=HALF*PRESS(I,J,bi,bj)/DELT2 |
| 403 |
C NOW PUT MIN AND MAX VISCOSITIES IN |
| 404 |
ZETA(I,J,bi,bj)=MIN(ZMAX(I,J,bi,bj),ZETA(I,J,bi,bj)) |
| 405 |
ZETA(I,J,bi,bj)=MAX(ZMIN(I,J,bi,bj),ZETA(I,J,bi,bj)) |
| 406 |
C NOW SET VISCOSITIES TO ZERO AT HEFFMFLOW PTS |
| 407 |
ZETA(I,J,bi,bj)=ZETA(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 408 |
ETA(I,J,bi,bj)=ECM2*ZETA(I,J,bi,bj) |
| 409 |
ENDDO |
| 410 |
ENDDO |
| 411 |
ENDDO |
| 412 |
ENDDO |
| 413 |
|
| 414 |
C-- Update overlap regions |
| 415 |
_EXCH_XY_R8(ETA, myThid) |
| 416 |
_EXCH_XY_R8(ZETA, myThid) |
| 417 |
|
| 418 |
C GET READY FOR SECOND CALL OF ADI |
| 419 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 420 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 421 |
DO j=1-OLy,sNy+OLy |
| 422 |
DO i=1-OLx,sNx+OLx |
| 423 |
UICE(I,J,2,bi,bj)=UICEC(I,J,bi,bj) |
| 424 |
VICE(I,J,2,bi,bj)=VICEC(I,J,bi,bj) |
| 425 |
ENDDO |
| 426 |
ENDDO |
| 427 |
ENDDO |
| 428 |
ENDDO |
| 429 |
|
| 430 |
C NOW ADI SCHEME (ZHANG-J/ROTHROCK 1999) |
| 431 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 432 |
CALL ADI( myThid ) |
| 433 |
#else /* ALLOW_AUTODIFF_TAMC */ |
| 434 |
IF ( SEAICEuseLSR ) THEN |
| 435 |
CALL LSR( myThid ) |
| 436 |
ELSE |
| 437 |
CALL ADI( myThid ) |
| 438 |
ENDIF |
| 439 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 440 |
|
| 441 |
5000 CONTINUE |
| 442 |
|
| 443 |
cdm c$taf store uice,vice = comlev1, key=ikey_dynamics |
| 444 |
|
| 445 |
ENDIF |
| 446 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 447 |
|
| 448 |
C Calculate ocean surface stress |
| 449 |
CALL OSTRES ( DWATN, COR_ICE, myThid ) |
| 450 |
|
| 451 |
#ifdef SEAICE_ALLOW_DYNAMICS |
| 452 |
IF ( SEAICEuseDYNAMICS ) THEN |
| 453 |
|
| 454 |
c Put a cap on ice velocity |
| 455 |
c limit velocity to 0.40 m s-1 to avoid potential CFL violations |
| 456 |
c in open water areas (drift of zero thickness ice) |
| 457 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 458 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 459 |
DO j=1-OLy,sNy+OLy |
| 460 |
DO i=1-OLx,sNx+OLx |
| 461 |
#ifdef SEAICE_DEBUG |
| 462 |
c write(*,'(2i4,2i2,f7.1,7f12.3)') |
| 463 |
c & i,j,bi,bj,UVM(I,J,bi,bj),amass(i,j,bi,bj) |
| 464 |
c & ,gwatx(I,J,bi,bj),gwaty(i,j,bi,bj) |
| 465 |
c & ,forcex(I,J,bi,bj),forcey(i,j,bi,bj) |
| 466 |
c & ,uice(i,j,1,bi,bj) |
| 467 |
c & ,vice(i,j,1,bi,bj) |
| 468 |
#endif /* SEAICE_DEBUG */ |
| 469 |
UICE(i,j,1,bi,bj)=min(UICE(i,j,1,bi,bj),0.40 _d +00) |
| 470 |
VICE(i,j,1,bi,bj)=min(VICE(i,j,1,bi,bj),0.40 _d +00) |
| 471 |
UICE(i,j,1,bi,bj)=max(UICE(i,j,1,bi,bj),-0.40 _d +00) |
| 472 |
VICE(i,j,1,bi,bj)=max(VICE(i,j,1,bi,bj),-0.40 _d +00) |
| 473 |
ENDDO |
| 474 |
ENDDO |
| 475 |
ENDDO |
| 476 |
ENDDO |
| 477 |
|
| 478 |
ENDIF |
| 479 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 480 |
|
| 481 |
#endif /* ALLOW_SEAICE */ |
| 482 |
|
| 483 |
RETURN |
| 484 |
END |
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