| 1 |
dimitri |
1.14 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/dynsolver.F,v 1.13 2004/05/05 00:23:37 dimitri Exp $ |
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edhill |
1.11 |
C $Name: $ |
| 3 |
heimbach |
1.2 |
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#include "SEAICE_OPTIONS.h" |
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dimitri |
1.8 |
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| 6 |
heimbach |
1.2 |
CStartOfInterface |
| 7 |
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SUBROUTINE dynsolver( myTime, myIter, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE dynsolver | |
| 10 |
dimitri |
1.12 |
C | o Ice dynamics using LSR solver | |
| 11 |
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C | Zhang and Hibler, JGR, 102, 8691-8702, 1997 | |
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heimbach |
1.2 |
C |==========================================================| |
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C \==========================================================/ |
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IMPLICIT NONE |
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dimitri |
1.8 |
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heimbach |
1.2 |
C === Global variables === |
| 17 |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
| 19 |
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#include "PARAMS.h" |
| 20 |
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#include "FFIELDS.h" |
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#include "SEAICE.h" |
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#include "SEAICE_GRID.h" |
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#include "SEAICE_PARAMS.h" |
| 24 |
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#include "SEAICE_FFIELDS.h" |
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dimitri |
1.3 |
#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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dimitri |
1.5 |
#endif |
| 29 |
dimitri |
1.3 |
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heimbach |
1.2 |
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 |
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INTEGER myIter |
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INTEGER myThid |
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CEndOfInterface |
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dimitri |
1.8 |
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heimbach |
1.2 |
#ifdef ALLOW_SEAICE |
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C === Local variables === |
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dimitri |
1.4 |
C i,j,bi,bj - Loop counters |
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heimbach |
1.2 |
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dimitri |
1.4 |
INTEGER i, j, bi, bj, kii |
| 45 |
dimitri |
1.14 |
_RL RHOICE, RHOAIR, SINWIN, COSWIN, SINWAT, COSWAT |
| 46 |
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_RL ECCEN, ECM2, RADIUS, DELT1, DELT2, PSTAR, AAA |
| 47 |
dimitri |
1.10 |
_RL TEMPVAR, U1, V1 |
| 48 |
heimbach |
1.2 |
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| 49 |
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_RL PRESS (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
| 50 |
dimitri |
1.8 |
_RL PRESS0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
| 51 |
dimitri |
1.5 |
_RL DAIRN (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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heimbach |
1.2 |
_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) |
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_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 |
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_RL E22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
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_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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dimitri |
1.4 |
C-- FIRST SET UP BASIC CONSTANTS |
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dimitri |
1.3 |
RHOICE=0.91 _d +03 |
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RHOAIR=1.3 _d 0 |
| 65 |
dimitri |
1.4 |
ECCEN=TWO |
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ECM2=ONE/(ECCEN**2) |
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RADIUS=6370. _d 3 |
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PSTAR=SEAICE_strength |
| 69 |
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| 70 |
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C-- 25 DEG GIVES SIN EQUAL TO 0.4226 |
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dimitri |
1.3 |
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 |
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dimitri |
1.4 |
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C-- Do not introduce turning angle |
| 77 |
dimitri |
1.3 |
SINWIN=ZERO |
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COSWIN=ONE |
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SINWAT=ZERO |
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COSWAT=ONE |
| 81 |
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dimitri |
1.4 |
C-- NOW SET UP MASS PER UNIT AREA AND CORIOLIS TERM |
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heimbach |
1.2 |
DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO j=1,sNy |
| 86 |
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DO i=1,sNx |
| 87 |
dimitri |
1.3 |
AMASS(I,J,bi,bj)=RHOICE*QUART*(HEFF(i,j,1,bi,bj) |
| 88 |
dimitri |
1.6 |
& +HEFF(i-1,j,1,bi,bj) |
| 89 |
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& +HEFF(i,j-1,1,bi,bj) |
| 90 |
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& +HEFF(i-1,j-1,1,bi,bj)) |
| 91 |
heimbach |
1.2 |
COR_ICE(I,J,bi,bj)=AMASS(I,J,bi,bj) |
| 92 |
dimitri |
1.4 |
& *TWO*OMEGA*SINEICE(I,J,bi,bj) |
| 93 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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| 98 |
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C-- NOW SET UP FORCING FIELDS |
| 99 |
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| 100 |
dimitri |
1.10 |
C-- Wind stress is computed on South-West B-grid U/V |
| 101 |
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C locations from wind on tracer locations |
| 102 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 103 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 104 |
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DO j=1,sNy |
| 105 |
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DO i=1,sNx |
| 106 |
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U1=QUART*(UWIND(I-1,J-1,bi,bj)+UWIND(I-1,J,bi,bj) |
| 107 |
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& +UWIND(I ,J-1,bi,bj)+UWIND(I ,J,bi,bj)) |
| 108 |
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V1=QUART*(VWIND(I-1,J-1,bi,bj)+VWIND(I-1,J,bi,bj) |
| 109 |
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& +VWIND(I ,J-1,bi,bj)+VWIND(I ,J,bi,bj)) |
| 110 |
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AAA=U1**2+V1**2 |
| 111 |
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IF ( AAA .LE. SEAICE_EPS_SQ ) THEN |
| 112 |
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AAA=SEAICE_EPS |
| 113 |
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ELSE |
| 114 |
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AAA=SQRT(AAA) |
| 115 |
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ENDIF |
| 116 |
dimitri |
1.8 |
C first ocean surface stress |
| 117 |
dimitri |
1.10 |
DAIRN(I,J,bi,bj)=RHOAIR*OCEAN_drag |
| 118 |
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& *(2.70 _d 0+0.142 _d 0*AAA+0.0764 _d 0*AAA*AAA) |
| 119 |
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WINDX(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(COSWIN*U1-SINWIN*V1) |
| 120 |
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WINDY(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(SINWIN*U1+COSWIN*V1) |
| 121 |
dimitri |
1.8 |
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| 122 |
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C now ice surface stress |
| 123 |
dimitri |
1.10 |
DAIRN(I,J,bi,bj)=RHOAIR*(SEAICE_drag*AAA*AREA(I,J,1,bi,bj) |
| 124 |
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& +OCEAN_drag*(2.70 _d 0+0.142 _d 0*AAA |
| 125 |
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& +0.0764 _d 0*AAA*AAA)*(ONE-AREA(I,J,1,bi,bj))) |
| 126 |
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FORCEX(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(COSWIN*U1-SINWIN*V1) |
| 127 |
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FORCEY(I,J,bi,bj)=DAIRN(I,J,bi,bj)*(SINWIN*U1+COSWIN*V1) |
| 128 |
dimitri |
1.4 |
ENDDO |
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ENDDO |
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ENDDO |
| 131 |
dimitri |
1.10 |
ENDDO |
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heimbach |
1.2 |
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| 133 |
dimitri |
1.4 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 134 |
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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 ADD IN TILT |
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heimbach |
1.2 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 139 |
dimitri |
1.4 |
& -COR_ICE(I,J,bi,bj)*GWATY(I,J,bi,bj) |
| 140 |
heimbach |
1.2 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
| 141 |
dimitri |
1.4 |
& +COR_ICE(I,J,bi,bj)*GWATX(I,J,bi,bj) |
| 142 |
dimitri |
1.8 |
C NOW KEEP FORCEX0 |
| 143 |
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FORCEX0(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 144 |
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FORCEY0(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
| 145 |
dimitri |
1.4 |
C-- NOW SET UP ICE PRESSURE AND VISCOSITIES |
| 146 |
dimitri |
1.8 |
PRESS0(I,J,bi,bj)=PSTAR*HEFF(I,J,1,bi,bj) |
| 147 |
dimitri |
1.4 |
& *EXP(-20.0 _d 0*(ONE-AREA(I,J,1,bi,bj))) |
| 148 |
dimitri |
1.8 |
ZMAX(I,J,bi,bj)=(5.0 _d +12/(2.0 _d +04))*PRESS0(I,J,bi,bj) |
| 149 |
dimitri |
1.3 |
ZMIN(I,J,bi,bj)=4.0 _d +08 |
| 150 |
dimitri |
1.8 |
PRESS0(I,J,bi,bj)=PRESS0(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
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heimbach |
1.2 |
ENDDO |
| 152 |
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ENDDO |
| 153 |
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ENDDO |
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ENDDO |
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| 156 |
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#ifdef SEAICE_ALLOW_DYNAMICS |
| 157 |
heimbach |
1.9 |
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| 158 |
heimbach |
1.2 |
IF ( SEAICEuseDYNAMICS ) THEN |
| 159 |
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| 160 |
heimbach |
1.9 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 161 |
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CADJ STORE uice = comlev1, key=ikey_dynamics |
| 162 |
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CADJ STORE vice = comlev1, key=ikey_dynamics |
| 163 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 164 |
dimitri |
1.3 |
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| 165 |
dimitri |
1.14 |
crg what about DRAGS,DRAGA,ETA,ZETA |
| 166 |
dimitri |
1.3 |
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| 167 |
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crg later c$taf loop = iteration uice,vice |
| 168 |
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| 169 |
dimitri |
1.8 |
cdm c$taf store uice,vice = comlev1_seaice_ds, |
| 170 |
dimitri |
1.12 |
cdm c$taf& key = kii + (ikey_dynamics-1) |
| 171 |
heimbach |
1.2 |
C NOW DO PREDICTOR TIME STEP |
| 172 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 173 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 174 |
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DO j=1-OLy,sNy+OLy |
| 175 |
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DO i=1-OLx,sNx+OLx |
| 176 |
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UICE(I,J,2,bi,bj)=UICE(I,J,1,bi,bj) |
| 177 |
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VICE(I,J,2,bi,bj)=VICE(I,J,1,bi,bj) |
| 178 |
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UICEC(I,J,bi,bj)=UICE(I,J,1,bi,bj) |
| 179 |
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VICEC(I,J,bi,bj)=VICE(I,J,1,bi,bj) |
| 180 |
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ENDDO |
| 181 |
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ENDDO |
| 182 |
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ENDDO |
| 183 |
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ENDDO |
| 184 |
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| 185 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 186 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 187 |
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DO j=1,sNy |
| 188 |
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DO i=1,sNx |
| 189 |
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C NOW EVALUATE STRAIN RATES |
| 190 |
dimitri |
1.3 |
E11(I,J,bi,bj)=HALF/(DXTICE(I,J,bi,bj)*CSTICE(I,J,bi,bj)) |
| 191 |
dimitri |
1.8 |
& *(UICE(I+1,J+1,1,bi,bj)+UICE(I+1,J,1,bi,bj) |
| 192 |
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& -UICE(I,J+1,1,bi,bj)-UICE(I,J,1,bi,bj)) |
| 193 |
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& -QUART*(VICE(I+1,J+1,1,bi,bj)+VICE(I,J+1,1,bi,bj) |
| 194 |
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& +VICE(I,J,1,bi,bj)+VICE(I+1,J,1,bi,bj)) |
| 195 |
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& *TNGTICE(I,J,bi,bj)/RADIUS |
| 196 |
dimitri |
1.3 |
E22(I,J,bi,bj)=HALF/DYTICE(I,J,bi,bj) |
| 197 |
dimitri |
1.8 |
& *(VICE(I+1,J+1,1,bi,bj)+VICE(I,J+1,1,bi,bj) |
| 198 |
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& -VICE(I+1,J,1,bi,bj)-VICE(I,J,1,bi,bj)) |
| 199 |
dimitri |
1.3 |
E12(I,J,bi,bj)=HALF*(HALF/DYTICE(I,J,bi,bj) |
| 200 |
dimitri |
1.8 |
& *(UICE(I+1,J+1,1,bi,bj)+UICE(I,J+1,1,bi,bj) |
| 201 |
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& -UICE(I+1,J,1,bi,bj)-UICE(I,J,1,bi,bj)) |
| 202 |
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& +HALF/(DXTICE(I,J,bi,bj)*CSTICE(I,J,bi,bj)) |
| 203 |
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& *(VICE(I+1,J+1,1,bi,bj)+VICE(I+1,J,1,bi,bj) |
| 204 |
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& -VICE(I,J+1,1,bi,bj)-VICE(I,J,1,bi,bj)) |
| 205 |
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& +QUART*(UICE(I+1,J+1,1,bi,bj)+UICE(I,J+1,1,bi,bj) |
| 206 |
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& +UICE(I,J,1,bi,bj)+UICE(I+1,J,1,bi,bj)) |
| 207 |
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& *TNGTICE(I,J,bi,bj)/RADIUS) |
| 208 |
heimbach |
1.2 |
C NOW EVALUATE VISCOSITIES |
| 209 |
dimitri |
1.3 |
DELT1=(E11(I,J,bi,bj)**2+E22(I,J,bi,bj)**2)*(ONE+ECM2) |
| 210 |
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& +4.0 _d 0*ECM2*E12(I,J,bi,bj)**2 |
| 211 |
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1 +TWO*E11(I,J,bi,bj)*E22(I,J,bi,bj)*(ONE-ECM2) |
| 212 |
dimitri |
1.8 |
IF ( DELT1 .LE. SEAICE_EPS_SQ ) THEN |
| 213 |
dimitri |
1.7 |
DELT2=SEAICE_EPS |
| 214 |
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ELSE |
| 215 |
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DELT2=SQRT(DELT1) |
| 216 |
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ENDIF |
| 217 |
dimitri |
1.8 |
ZETA(I,J,bi,bj)=HALF*PRESS0(I,J,bi,bj)/DELT2 |
| 218 |
heimbach |
1.2 |
C NOW PUT MIN AND MAX VISCOSITIES IN |
| 219 |
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ZETA(I,J,bi,bj)=MIN(ZMAX(I,J,bi,bj),ZETA(I,J,bi,bj)) |
| 220 |
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ZETA(I,J,bi,bj)=MAX(ZMIN(I,J,bi,bj),ZETA(I,J,bi,bj)) |
| 221 |
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C NOW SET VISCOSITIES TO ZERO AT HEFFMFLOW PTS |
| 222 |
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ZETA(I,J,bi,bj)=ZETA(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 223 |
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ETA(I,J,bi,bj)=ECM2*ZETA(I,J,bi,bj) |
| 224 |
dimitri |
1.8 |
PRESS(I,J,bi,bj)=TWO*ZETA(I,J,bi,bj)*DELT2 |
| 225 |
heimbach |
1.2 |
ENDDO |
| 226 |
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ENDDO |
| 227 |
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ENDDO |
| 228 |
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ENDDO |
| 229 |
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| 230 |
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C-- Update overlap regions |
| 231 |
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_EXCH_XY_R8(ETA, myThid) |
| 232 |
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_EXCH_XY_R8(ZETA, myThid) |
| 233 |
dimitri |
1.8 |
_EXCH_XY_R8(PRESS, myThid) |
| 234 |
heimbach |
1.2 |
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| 235 |
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DO bj=myByLo(myThid),myByHi(myThid) |
| 236 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
| 237 |
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DO j=1,sNy |
| 238 |
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DO i=1,sNx |
| 239 |
dimitri |
1.8 |
C NOW SET UP NON-LINEAR WATER DRAG, FORCEX, FORCEY |
| 240 |
dimitri |
1.7 |
TEMPVAR=(UICE(I,J,1,bi,bj)-GWATX(I,J,bi,bj))**2 |
| 241 |
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& +(VICE(I,J,1,bi,bj)-GWATY(I,J,bi,bj))**2 |
| 242 |
dimitri |
1.8 |
IF ( TEMPVAR .LE. (QUART/SEAICE_waterDrag)**2 ) THEN |
| 243 |
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DWATN(I,J,bi,bj)=QUART |
| 244 |
dimitri |
1.7 |
ELSE |
| 245 |
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DWATN(I,J,bi,bj)=SEAICE_waterDrag*SQRT(TEMPVAR) |
| 246 |
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ENDIF |
| 247 |
heimbach |
1.2 |
C NOW SET UP SYMMETTRIC DRAG |
| 248 |
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DRAGS(I,J,bi,bj)=DWATN(I,J,bi,bj)*COSWAT |
| 249 |
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C NOW SET UP ANTI SYMMETTRIC DRAG PLUS CORIOLIS |
| 250 |
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DRAGA(I,J,bi,bj)=DWATN(I,J,bi,bj)*SINWAT+COR_ICE(I,J,bi,bj) |
| 251 |
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C NOW ADD IN CURRENT FORCE |
| 252 |
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FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
| 253 |
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& *(COSWAT*GWATX(I,J,bi,bj) |
| 254 |
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& -SINWAT*GWATY(I,J,bi,bj)) |
| 255 |
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FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
| 256 |
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& *(SINWAT*GWATX(I,J,bi,bj) |
| 257 |
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& +COSWAT*GWATY(I,J,bi,bj)) |
| 258 |
dimitri |
1.8 |
C NOW CALCULATE PRESSURE FORCE AND ADD TO EXTERNAL FORCE |
| 259 |
|
|
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 260 |
|
|
& -(QUART/(DXUICE(I,J,bi,bj)*CSUICE(I,J,bi,bj))) |
| 261 |
|
|
& *(PRESS(I,J,bi,bj)+PRESS(I,J-1,bi,bj) |
| 262 |
|
|
& -PRESS(I-1,J,bi,bj)-PRESS(I-1,J-1,bi,bj)) |
| 263 |
|
|
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj)-QUART/DYUICE(I,J,bi,bj) |
| 264 |
|
|
& *(PRESS(I,J,bi,bj)+PRESS(I-1,J,bi,bj) |
| 265 |
|
|
& -PRESS(I,J-1,bi,bj)-PRESS(I-1,J-1,bi,bj)) |
| 266 |
|
|
ENDDO |
| 267 |
|
|
ENDDO |
| 268 |
|
|
ENDDO |
| 269 |
|
|
ENDDO |
| 270 |
|
|
|
| 271 |
|
|
C NOW LSR SCHEME (ZHANG-J/HIBLER 1997) |
| 272 |
heimbach |
1.9 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 273 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 274 |
|
|
CALL LSR( 1, myThid ) |
| 275 |
|
|
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 276 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 277 |
dimitri |
1.8 |
|
| 278 |
|
|
C NOW DO MODIFIED EULER STEP |
| 279 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 280 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 281 |
|
|
DO j=1-OLy,sNy+OLy |
| 282 |
|
|
DO i=1-OLx,sNx+OLx |
| 283 |
|
|
UICE(I,J,1,bi,bj)=HALF*(UICE(I,J,1,bi,bj)+UICE(I,J,2,bi,bj)) |
| 284 |
|
|
VICE(I,J,1,bi,bj)=HALF*(VICE(I,J,1,bi,bj)+VICE(I,J,2,bi,bj)) |
| 285 |
|
|
UICEC(I,J,bi,bj)=UICE(I,J,1,bi,bj) |
| 286 |
|
|
VICEC(I,J,bi,bj)=VICE(I,J,1,bi,bj) |
| 287 |
heimbach |
1.2 |
ENDDO |
| 288 |
|
|
ENDDO |
| 289 |
|
|
ENDDO |
| 290 |
|
|
ENDDO |
| 291 |
|
|
|
| 292 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 293 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 294 |
|
|
DO j=1,sNy |
| 295 |
|
|
DO i=1,sNx |
| 296 |
|
|
C NOW EVALUATE STRAIN RATES |
| 297 |
dimitri |
1.3 |
E11(I,J,bi,bj)=HALF/(DXTICE(I,J,bi,bj)*CSTICE(I,J,bi,bj)) |
| 298 |
dimitri |
1.8 |
& *(UICE(I+1,J+1,1,bi,bj)+UICE(I+1,J,1,bi,bj) |
| 299 |
|
|
& -UICE(I,J+1,1,bi,bj)-UICE(I,J,1,bi,bj)) |
| 300 |
|
|
& -QUART*(VICE(I+1,J+1,1,bi,bj)+VICE(I,J+1,1,bi,bj) |
| 301 |
|
|
& +VICE(I,J,1,bi,bj)+VICE(I+1,J,1,bi,bj)) |
| 302 |
|
|
& *TNGTICE(I,J,bi,bj)/RADIUS |
| 303 |
dimitri |
1.3 |
E22(I,J,bi,bj)=HALF/DYTICE(I,J,bi,bj) |
| 304 |
dimitri |
1.8 |
& *(VICE(I+1,J+1,1,bi,bj)+VICE(I,J+1,1,bi,bj) |
| 305 |
|
|
& -VICE(I+1,J,1,bi,bj)-VICE(I,J,1,bi,bj)) |
| 306 |
dimitri |
1.3 |
E12(I,J,bi,bj)=HALF*(HALF/DYTICE(I,J,bi,bj) |
| 307 |
dimitri |
1.8 |
& *(UICE(I+1,J+1,1,bi,bj)+UICE(I,J+1,1,bi,bj) |
| 308 |
|
|
& -UICE(I+1,J,1,bi,bj)-UICE(I,J,1,bi,bj)) |
| 309 |
|
|
& +HALF/(DXTICE(I,J,bi,bj)*CSTICE(I,J,bi,bj)) |
| 310 |
|
|
& *(VICE(I+1,J+1,1,bi,bj)+VICE(I+1,J,1,bi,bj) |
| 311 |
|
|
& -VICE(I,J+1,1,bi,bj)-VICE(I,J,1,bi,bj)) |
| 312 |
|
|
& +QUART*(UICE(I+1,J+1,1,bi,bj)+UICE(I,J+1,1,bi,bj) |
| 313 |
|
|
& +UICE(I,J,1,bi,bj)+UICE(I+1,J,1,bi,bj)) |
| 314 |
|
|
& *TNGTICE(I,J,bi,bj)/RADIUS) |
| 315 |
heimbach |
1.2 |
C NOW EVALUATE VISCOSITIES |
| 316 |
dimitri |
1.3 |
DELT1=(E11(I,J,bi,bj)**2+E22(I,J,bi,bj)**2)*(ONE+ECM2) |
| 317 |
|
|
& +4. _d 0*ECM2*E12(I,J,bi,bj)**2 |
| 318 |
|
|
1 +TWO*E11(I,J,bi,bj)*E22(I,J,bi,bj)*(ONE-ECM2) |
| 319 |
dimitri |
1.8 |
IF ( DELT1 .LE. SEAICE_EPS_SQ ) THEN |
| 320 |
dimitri |
1.7 |
DELT2=SEAICE_EPS |
| 321 |
|
|
ELSE |
| 322 |
|
|
DELT2=SQRT(DELT1) |
| 323 |
|
|
ENDIF |
| 324 |
dimitri |
1.8 |
ZETA(I,J,bi,bj)=HALF*PRESS0(I,J,bi,bj)/DELT2 |
| 325 |
heimbach |
1.2 |
C NOW PUT MIN AND MAX VISCOSITIES IN |
| 326 |
|
|
ZETA(I,J,bi,bj)=MIN(ZMAX(I,J,bi,bj),ZETA(I,J,bi,bj)) |
| 327 |
|
|
ZETA(I,J,bi,bj)=MAX(ZMIN(I,J,bi,bj),ZETA(I,J,bi,bj)) |
| 328 |
|
|
C NOW SET VISCOSITIES TO ZERO AT HEFFMFLOW PTS |
| 329 |
|
|
ZETA(I,J,bi,bj)=ZETA(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 330 |
|
|
ETA(I,J,bi,bj)=ECM2*ZETA(I,J,bi,bj) |
| 331 |
dimitri |
1.8 |
PRESS(I,J,bi,bj)=TWO*ZETA(I,J,bi,bj)*DELT2 |
| 332 |
heimbach |
1.2 |
ENDDO |
| 333 |
|
|
ENDDO |
| 334 |
|
|
ENDDO |
| 335 |
|
|
ENDDO |
| 336 |
|
|
|
| 337 |
|
|
C-- Update overlap regions |
| 338 |
|
|
_EXCH_XY_R8(ETA, myThid) |
| 339 |
|
|
_EXCH_XY_R8(ZETA, myThid) |
| 340 |
dimitri |
1.8 |
_EXCH_XY_R8(PRESS, myThid) |
| 341 |
|
|
|
| 342 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 343 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 344 |
|
|
DO j=1,sNy |
| 345 |
|
|
DO i=1,sNx |
| 346 |
|
|
C NOW SET UP NON-LINEAR WATER DRAG, FORCEX, FORCEY |
| 347 |
|
|
TEMPVAR=(UICE(I,J,1,bi,bj)-GWATX(I,J,bi,bj))**2 |
| 348 |
|
|
& +(VICE(I,J,1,bi,bj)-GWATY(I,J,bi,bj))**2 |
| 349 |
|
|
IF ( TEMPVAR .LE. (QUART/SEAICE_waterDrag)**2 ) THEN |
| 350 |
|
|
DWATN(I,J,bi,bj)=QUART |
| 351 |
|
|
ELSE |
| 352 |
|
|
DWATN(I,J,bi,bj)=SEAICE_waterDrag*SQRT(TEMPVAR) |
| 353 |
|
|
ENDIF |
| 354 |
|
|
C NOW SET UP SYMMETTRIC DRAG |
| 355 |
|
|
DRAGS(I,J,bi,bj)=DWATN(I,J,bi,bj)*COSWAT |
| 356 |
|
|
C NOW SET UP ANTI SYMMETTRIC DRAG PLUS CORIOLIS |
| 357 |
|
|
DRAGA(I,J,bi,bj)=DWATN(I,J,bi,bj)*SINWAT+COR_ICE(I,J,bi,bj) |
| 358 |
|
|
C NOW ADD IN CURRENT FORCE |
| 359 |
|
|
FORCEX(I,J,bi,bj)=FORCEX0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
| 360 |
|
|
& *(COSWAT*GWATX(I,J,bi,bj) |
| 361 |
|
|
& -SINWAT*GWATY(I,J,bi,bj)) |
| 362 |
|
|
FORCEY(I,J,bi,bj)=FORCEY0(I,J,bi,bj)+DWATN(I,J,bi,bj) |
| 363 |
|
|
& *(SINWAT*GWATX(I,J,bi,bj) |
| 364 |
|
|
& +COSWAT*GWATY(I,J,bi,bj)) |
| 365 |
|
|
C NOW CALCULATE PRESSURE FORCE AND ADD TO EXTERNAL FORCE |
| 366 |
|
|
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 367 |
|
|
& -(QUART/(DXUICE(I,J,bi,bj)*CSUICE(I,J,bi,bj))) |
| 368 |
|
|
& *(PRESS(I,J,bi,bj)+PRESS(I,J-1,bi,bj) |
| 369 |
|
|
& -PRESS(I-1,J,bi,bj)-PRESS(I-1,J-1,bi,bj)) |
| 370 |
|
|
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj)-QUART/DYUICE(I,J,bi,bj) |
| 371 |
|
|
& *(PRESS(I,J,bi,bj)+PRESS(I-1,J,bi,bj) |
| 372 |
|
|
& -PRESS(I,J-1,bi,bj)-PRESS(I-1,J-1,bi,bj)) |
| 373 |
|
|
ENDDO |
| 374 |
|
|
ENDDO |
| 375 |
|
|
ENDDO |
| 376 |
|
|
ENDDO |
| 377 |
heimbach |
1.2 |
|
| 378 |
dimitri |
1.8 |
C NOW LSR SCHEME (ZHANG-J/HIBLER 1997) |
| 379 |
heimbach |
1.9 |
CALL LSR( 2, myThid ) |
| 380 |
heimbach |
1.2 |
|
| 381 |
dimitri |
1.7 |
cdm c$taf store uice,vice = comlev1, key=ikey_dynamics |
| 382 |
dimitri |
1.3 |
|
| 383 |
heimbach |
1.2 |
ENDIF |
| 384 |
dimitri |
1.5 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 385 |
heimbach |
1.2 |
|
| 386 |
|
|
C Calculate ocean surface stress |
| 387 |
|
|
CALL OSTRES ( DWATN, COR_ICE, myThid ) |
| 388 |
|
|
|
| 389 |
|
|
#ifdef SEAICE_ALLOW_DYNAMICS |
| 390 |
heimbach |
1.9 |
|
| 391 |
heimbach |
1.2 |
IF ( SEAICEuseDYNAMICS ) THEN |
| 392 |
|
|
|
| 393 |
heimbach |
1.9 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 394 |
|
|
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 395 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 396 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 397 |
heimbach |
1.2 |
c Put a cap on ice velocity |
| 398 |
|
|
c limit velocity to 0.40 m s-1 to avoid potential CFL violations |
| 399 |
|
|
c in open water areas (drift of zero thickness ice) |
| 400 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 401 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 402 |
|
|
DO j=1-OLy,sNy+OLy |
| 403 |
|
|
DO i=1-OLx,sNx+OLx |
| 404 |
|
|
#ifdef SEAICE_DEBUG |
| 405 |
|
|
c write(*,'(2i4,2i2,f7.1,7f12.3)') |
| 406 |
|
|
c & i,j,bi,bj,UVM(I,J,bi,bj),amass(i,j,bi,bj) |
| 407 |
|
|
c & ,gwatx(I,J,bi,bj),gwaty(i,j,bi,bj) |
| 408 |
|
|
c & ,forcex(I,J,bi,bj),forcey(i,j,bi,bj) |
| 409 |
|
|
c & ,uice(i,j,1,bi,bj) |
| 410 |
|
|
c & ,vice(i,j,1,bi,bj) |
| 411 |
dimitri |
1.5 |
#endif /* SEAICE_DEBUG */ |
| 412 |
dimitri |
1.3 |
UICE(i,j,1,bi,bj)=min(UICE(i,j,1,bi,bj),0.40 _d +00) |
| 413 |
|
|
VICE(i,j,1,bi,bj)=min(VICE(i,j,1,bi,bj),0.40 _d +00) |
| 414 |
heimbach |
1.9 |
ENDDO |
| 415 |
|
|
ENDDO |
| 416 |
|
|
ENDDO |
| 417 |
|
|
ENDDO |
| 418 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 419 |
|
|
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 420 |
|
|
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 421 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 422 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 423 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 424 |
|
|
DO j=1-OLy,sNy+OLy |
| 425 |
|
|
DO i=1-OLx,sNx+OLx |
| 426 |
dimitri |
1.3 |
UICE(i,j,1,bi,bj)=max(UICE(i,j,1,bi,bj),-0.40 _d +00) |
| 427 |
|
|
VICE(i,j,1,bi,bj)=max(VICE(i,j,1,bi,bj),-0.40 _d +00) |
| 428 |
heimbach |
1.2 |
ENDDO |
| 429 |
|
|
ENDDO |
| 430 |
|
|
ENDDO |
| 431 |
|
|
ENDDO |
| 432 |
|
|
|
| 433 |
|
|
ENDIF |
| 434 |
dimitri |
1.5 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 435 |
heimbach |
1.2 |
|
| 436 |
dimitri |
1.5 |
#endif /* ALLOW_SEAICE */ |
| 437 |
heimbach |
1.2 |
|
| 438 |
|
|
RETURN |
| 439 |
|
|
END |
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