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C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_dynsolver.F,v 1.15 2007/03/08 11:21:34 mlosch Exp $ |
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C $Name: $ |
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|
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#include "SEAICE_OPTIONS.h" |
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|
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CStartOfInterface |
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SUBROUTINE SEAICE_DYNSOLVER( myTime, myIter, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE SEAICE_DYNSOLVER | |
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C | o Ice dynamics using LSR solver | |
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C | Zhang and Hibler, JGR, 102, 8691-8702, 1997 | |
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C | or EVP explicit solver by Hunke and Dukowicz, JPO 27, | |
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C | 1849-1867 (1997) | |
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C |==========================================================| |
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C | written by Martin Losch, March 2006 | |
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C \==========================================================/ |
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IMPLICIT NONE |
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|
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C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "SURFACE.h" |
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#include "DYNVARS.h" |
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#include "FFIELDS.h" |
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#include "SEAICE.h" |
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#include "SEAICE_PARAMS.h" |
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#include "SEAICE_FFIELDS.h" |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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#endif |
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|
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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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|
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#ifdef SEAICE_CGRID |
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C === Local variables === |
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C i,j,bi,bj - Loop counters |
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|
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INTEGER i, j, bi, bj |
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_RL RHOICE, RHOAIR, SINWIN, COSWIN |
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_RL PSTAR, AAA |
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_RL U1, V1 |
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_RL phiSurf(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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|
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C-- FIRST SET UP BASIC CONSTANTS |
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RHOICE = SEAICE_rhoIce |
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RHOAIR = SEAICE_rhoAir |
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PSTAR = SEAICE_strength |
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|
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C-- introduce turning angle (default is zero) |
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SINWIN=SIN(SEAICE_airTurnAngle*deg2rad) |
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COSWIN=COS(SEAICE_airTurnAngle*deg2rad) |
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|
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C-- Compute proxy for geostrophic velocity, |
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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-Oly,sNy+Oly |
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DO i=1-Oly,sNx+Olx |
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CML GWATX(I,J,bi,bj)=uVel(i,j,KGEO(I,J,bi,bj),bi,bj) |
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CML GWATY(I,J,bi,bj)=vVel(i,j,KGEO(I,J,bi,bj),bi,bj) |
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GWATX(I,J,bi,bj)=uVel(i,j,1,bi,bj) |
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GWATY(I,J,bi,bj)=vVel(i,j,1,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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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-Oly+1,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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seaiceMassC(I,J,bi,bj)=RHOICE*HEFF(i,j,1,bi,bj) |
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seaiceMassU(I,J,bi,bj)=RHOICE*HALF*( |
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& HEFF(i,j,1,bi,bj) + HEFF(i-1,j ,1,bi,bj) ) |
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seaiceMassV(I,J,bi,bj)=RHOICE*HALF*( |
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& HEFF(i,j,1,bi,bj) + HEFF(i ,j-1,1,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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IF ( SEAICE_maskRHS ) THEN |
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C dynamic masking of areas with no ice |
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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-Oly+1,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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seaiceMaskU(I,J,bi,bj)=AREA(I,J,1,bi,bj)+AREA(I-1,J,1,bi,bj) |
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IF ( seaiceMaskU(I,J,bi,bj) .GT. 0. _d 0 ) THEN |
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seaiceMaskU(I,J,bi,bj) = 1. _d 0 |
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ELSE |
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seaiceMaskU(I,J,bi,bj) = 0. _d 0 |
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ENDIF |
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seaiceMaskV(I,J,bi,bj)=AREA(I,J,1,bi,bj)+AREA(I,J-1,1,bi,bj) |
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IF ( seaiceMaskV(I,J,bi,bj) .GT. 0. _d 0 ) THEN |
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seaiceMaskV(I,J,bi,bj) = 1. _d 0 |
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ELSE |
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seaiceMaskV(I,J,bi,bj) = 0. _d 0 |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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CALL EXCH_UV_XY_RL( seaiceMaskU, seaiceMaskV, .FALSE., myThid ) |
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ENDIF |
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|
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C-- NOW SET UP FORCING FIELDS |
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|
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#ifdef ALLOW_ATM_WIND |
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C-- Wind stress is computed on center of C-grid cell and interpolated |
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C to U and V points later |
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C locations from wind on tracer locations |
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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-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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U1=UWIND(I,J,bi,bj) |
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V1=VWIND(I,J,bi,bj) |
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AAA=U1**2+V1**2 |
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IF ( AAA .LE. 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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C first ocean surface stress |
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DAIRN(I,J,bi,bj)=RHOAIR*OCEAN_drag |
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& *(2.70 _d 0+0.142 _d 0*AAA+0.0764 _d 0*AAA*AAA) |
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WINDX(I,J,bi,bj)=DAIRN(I,J,bi,bj)* |
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& (COSWIN*U1-SIGN(SINWIN, _fCori(I,J,bi,bj))*V1) |
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WINDY(I,J,bi,bj)=DAIRN(I,J,bi,bj)* |
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& (SIGN(SINWIN, _fCori(I,J,bi,bj))*U1+COSWIN*V1) |
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C now ice surface stress |
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DAIRN(I,J,bi,bj) = RHOAIR*SEAICE_drag*AAA |
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ENDDO |
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ENDDO |
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C now interpolate to U and V points respectively |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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FORCEX0(I,J,bi,bj)=0.5 _d 0 * |
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& ( DAIRN(I ,J,bi,bj)*( |
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& COSWIN*uWind(I ,J,bi,bj) |
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& -SIGN(SINWIN, _fCori(I ,J,bi,bj))*vWind(I ,J,bi,bj) ) |
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& + DAIRN(I-1,J,bi,bj)*( |
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& COSWIN*uWind(I-1,J,bi,bj) |
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& -SIGN(SINWIN, _fCori(I-1,J,bi,bj))*vWind(I-1,J,bi,bj) ) |
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& ) |
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C interpolate to V point |
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FORCEY0(I,J,bi,bj)=0.5 _d 0 * |
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& ( DAIRN(I,J ,bi,bj)*( |
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& SIGN(SINWIN, _fCori(I,J ,bi,bj))*uWind(I,J ,bi,bj) |
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& +COSWIN*vWind(I,J ,bi,bj) ) |
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& + DAIRN(I,J-1,bi,bj)*( |
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& SIGN(SINWIN, _fCori(I,J-1,bi,bj))*uWind(I,J-1,bi,bj) |
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& +COSWIN*vWind(I,J-1,bi,bj) ) |
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& ) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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#else |
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C-- Wind stress is available on U and V points, copy it to seaice variables. |
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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-Oly,sNy+Oly-1 |
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DO i=1-Olx,sNx+Olx-1 |
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U1=.5*(FU(I,J,bi,bj)+FU(I+1,J,bi,bj)) |
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V1=.5*(FV(I,J,bi,bj)+FV(I,J+1,bi,bj)) |
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C first ocean surface stress |
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WINDX(I,J,bi,bj)= |
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& (COSWIN*U1 |
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& -SIGN(SINWIN, _fCori(I,J,bi,bj))*V1) |
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WINDY(I,J,bi,bj)= |
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& (SIGN(SINWIN, _fCori(I,J,bi,bj))*U1+COSWIN*V1) |
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ENDDO |
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ENDDO |
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C now interpolate to U and V points respectively |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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C now ice surface stress |
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DAIRN(I,J,bi,bj) = SEAICE_drag/OCEAN_drag |
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FORCEX0(I,J,bi,bj)=DAIRN(I,J,bi,bj)*( |
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& COSWIN*FU(I,J,bi,bj) |
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& -SIGN(SINWIN, _fCori(I ,J,bi,bj))*0.25 |
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& *(FV(I,J, bi,bj)+FV(I-1,J, bi,bj) |
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& +FV(I,J+1,bi,bj)+FV(I-1,J+1,bi,bj)) |
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& ) |
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C interpolate to V point |
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FORCEY0(I,J,bi,bj)=DAIRN(I,J,bi,bj)*( |
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& SIGN(SINWIN, _fCori(I,J ,bi,bj))*0.25 |
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& *(FU(I,J ,bi,bj)+FU(I+1,J, bi,bj) |
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& +FU(I,J-1,bi,bj)+FU(I+1,J-1,bi,bj)) |
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& +COSWIN*FV(I,J,bi,bj) |
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& ) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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#endif /* ALLOW_ATM_WIND */ |
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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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C-- Compute surface pressure at z==0: |
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C- use actual sea surface height for tilt computations |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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phiSurf(i,j) = Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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#ifdef ATMOSPHERIC_LOADING |
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C- add atmospheric loading and Sea-Ice loading |
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IF ( useRealFreshWaterFlux ) THEN |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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phiSurf(i,j) = phiSurf(i,j) |
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& + ( pload(i,j,bi,bj) |
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& +sIceLoad(i,j,bi,bj)*gravity |
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& )*recip_rhoConst |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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phiSurf(i,j) = phiSurf(i,j) |
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& + pload(i,j,bi,bj)*recip_rhoConst |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* ATMOSPHERIC_LOADING */ |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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C-- NOW ADD IN TILT |
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FORCEX0(I,J,bi,bj)=FORCEX0(I,J,bi,bj) |
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& -seaiceMassU(I,J,bi,bj)*_recip_dxC(I,J,bi,bj) |
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& *( phiSurf(i,j)-phiSurf(i-1,j) ) |
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FORCEY0(I,J,bi,bj)=FORCEY0(I,J,bi,bj) |
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& -seaiceMassV(I,J,bi,bj)* _recip_dyC(I,J,bi,bj) |
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& *( phiSurf(i,j)-phiSurf(i,j-1) ) |
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C-- NOW SET UP ICE PRESSURE AND VISCOSITIES |
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PRESS0(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))*PRESS0(I,J,bi,bj) |
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ZMIN(I,J,bi,bj)=4.0 _d +08 |
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PRESS0(I,J,bi,bj)=PRESS0(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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|
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IF ( SEAICEuseDYNAMICS ) THEN |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE uice = comlev1, key=ikey_dynamics |
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CADJ STORE vice = comlev1, key=ikey_dynamics |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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#ifdef SEAICE_ALLOW_EVP |
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IF ( SEAICEuseEVP ) THEN |
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CALL SEAICE_EVP( myTime, myIter, myThid ) |
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ELSE |
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C do the original VP solver of Zhang and Hibler (1997), ported to |
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C a C-grid |
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#endif /* SEAICE_ALLOW_EVP */ |
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C NOW DO PREDICTOR TIME STEP |
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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-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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uIce(I,J,2,bi,bj)=uIce(I,J,1,bi,bj) |
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vIce(I,J,2,bi,bj)=vIce(I,J,1,bi,bj) |
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uIceC(I,J,bi,bj)=uIce(I,J,1,bi,bj) |
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vIceC(I,J,bi,bj)=vIce(I,J,1,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 ALLOW_AUTODIFF_TAMC |
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# ifdef SEAICE_ALLOW_EVP |
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cphCADJ STORE uice = comlev1, key=ikey_dynamics |
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cphCADJ STORE vice = comlev1, key=ikey_dynamics |
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CADJ STORE uicec = comlev1, key=ikey_dynamics |
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CADJ STORE vicec = comlev1, key=ikey_dynamics |
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# endif |
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#endif |
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C NOW LSR SCHEME (ZHANG-J/HIBLER 1997) |
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CALL SEAICE_LSR( 1, myThid ) |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE uice = comlev1, key=ikey_dynamics |
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CADJ STORE vice = comlev1, key=ikey_dynamics |
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cphCADJ STORE uicec = comlev1, key=ikey_dynamics |
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cphCADJ STORE vicec = comlev1, key=ikey_dynamics |
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#endif |
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|
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C NOW DO MODIFIED EULER STEP |
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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-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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uIce(I,J,1,bi,bj)=HALF*(uIce(I,J,1,bi,bj)+uIce(I,J,2,bi,bj)) |
| 312 |
vIce(I,J,1,bi,bj)=HALF*(vIce(I,J,1,bi,bj)+vIce(I,J,2,bi,bj)) |
| 313 |
uIceC(I,J,bi,bj)=uIce(I,J,1,bi,bj) |
| 314 |
vIceC(I,J,bi,bj)=vIce(I,J,1,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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|
| 320 |
C NOW LSR SCHEME (ZHANG-J/HIBLER 1997) |
| 321 |
CALL SEAICE_LSR( 2, myThid ) |
| 322 |
#ifdef SEAICE_ALLOW_EVP |
| 323 |
ENDIF |
| 324 |
#endif /* SEAICE_ALLOW_EVP */ |
| 325 |
|
| 326 |
ENDIF |
| 327 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 328 |
|
| 329 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 330 |
CADJ STORE dwatn = comlev1, key=ikey_dynamics |
| 331 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 332 |
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 333 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 334 |
|
| 335 |
C Calculate ocean surface stress |
| 336 |
CALL SEAICE_OCEAN_STRESS ( myTime, myIter, myThid ) |
| 337 |
|
| 338 |
#ifdef SEAICE_ALLOW_DYNAMICS |
| 339 |
IF ( SEAICEuseDYNAMICS .AND. SEAICE_clipVelocities) THEN |
| 340 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 341 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 342 |
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 343 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 344 |
c Put a cap on ice velocity |
| 345 |
c limit velocity to 0.40 m s-1 to avoid potential CFL violations |
| 346 |
c in open water areas (drift of zero thickness ice) |
| 347 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 348 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 349 |
DO j=1-OLy,sNy+OLy |
| 350 |
DO i=1-OLx,sNx+OLx |
| 351 |
uIce(i,j,1,bi,bj)= |
| 352 |
& MAX(MIN(uIce(i,j,1,bi,bj),0.40 _d +00),-0.40 _d +00) |
| 353 |
vIce(i,j,1,bi,bj)= |
| 354 |
& MAX(MIN(vIce(i,j,1,bi,bj),0.40 _d +00),-0.40 _d +00) |
| 355 |
ENDDO |
| 356 |
ENDDO |
| 357 |
ENDDO |
| 358 |
ENDDO |
| 359 |
ENDIF |
| 360 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 361 |
|
| 362 |
#endif /* SEAICE_CGRID */ |
| 363 |
RETURN |
| 364 |
END |
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