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torge |
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C $Header: /u/gcmpack/MITgcm/pkg/seaice/advect.F,v 1.29 2012/11/09 22:15:18 heimbach Exp $ |
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torge |
1.1 |
C $Name: $ |
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#include "SEAICE_OPTIONS.h" |
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CBOP |
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C !ROUTINE: ADVECT |
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C !INTERFACE: |
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SUBROUTINE ADVECT( |
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I UI, VI, |
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U fld, |
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O fldNm1, |
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I iceMsk, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | S/R ADVECT |
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C | o Calculate advection and diffusion |
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C | and update the input ice-field |
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C *==========================================================* |
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C \ev |
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C !USES: |
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IMPLICIT NONE |
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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 "SEAICE_SIZE.h" |
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#include "SEAICE_PARAMS.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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#endif |
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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C UI, VI :: ice velocity components |
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C fld :: input and updated ice-field |
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C fldNm1 :: copy of the input ice-field |
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C iceMsk :: Ocean/Land mask |
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C myThid :: my Thread Id. number |
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_RL UI (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL VI (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL fld (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL fldNm1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL iceMsk (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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INTEGER myThid |
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CEOP |
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C !LOCAL VARIABLES: |
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C == Local variables == |
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C i,j,k,bi,bj :: Loop counters |
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INTEGER i, j, bi, bj |
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INTEGER k |
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_RL DELTT |
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_RL DIFFA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL tmpFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL afx (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL afy (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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DELTT=SEAICE_deltaTtherm |
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C save fld from previous 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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fldNm1(i,j,bi,bj) = fld(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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DO k=1,2 |
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cph IF ( k .EQ. 1 ) THEN |
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C Prediction step |
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cph DO bj=myByLo(myThid),myByHi(myThid) |
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cph DO bi=myBxLo(myThid),myBxHi(myThid) |
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cph DO j=1-OLy,sNy+OLy |
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cph DO i=1-OLx,sNx+OLx |
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cph tmpFld(i,j,bi,bj) = fld(i,j,bi,bj) |
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cph ENDDO |
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cph ENDDO |
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cph ENDDO |
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cph ENDDO |
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cph ELSE |
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C Backward Euler correction 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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cph for k=1 this is same as tmpFld = fld |
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tmpFld(i,j,bi,bj)=HALF*(fld(i,j,bi,bj) |
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& +fldNm1(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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cph ENDIF |
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#ifdef ALLOW_AUTODIFF_TAMC |
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cphCADJ STORE fld = comlev1, key = ikey_dynamics |
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cphCADJ STORE fldNm1 = comlev1, key = ikey_dynamics |
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cphCADJ STORE tmpFld = comlev1, key = ikey_dynamics |
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DO J=1-Oly,sNy+Oly |
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DO I=1-Olx,sNx+Olx |
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afx(i,j) = 0. _d 0 |
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afy(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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C NOW GO THROUGH STANDARD CONSERVATIVE ADVECTION |
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IF ( .NOT. SEAICEuseFluxForm ) THEN |
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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=0,sNy+1 |
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DO i=0,sNx+1 |
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CML This formulation gives the same result as the original code on a |
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CML lat-lon-grid, but may not be accurate on irregular grids |
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fld(i,j,bi,bj)=fldNm1(i,j,bi,bj) |
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& -DELTT*( |
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& ( tmpFld(i ,j ,bi,bj)+tmpFld(i+1,j ,bi,bj)) |
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& * UI(i+1,j, bi,bj) - |
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& ( tmpFld(i ,j ,bi,bj)+tmpFld(i-1,j ,bi,bj)) |
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& * UI(i ,j, bi,bj) )*maskInC(i,j,bi,bj) |
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& *(HALF * _recip_dxF(i,j,bi,bj)) |
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& -DELTT*( |
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& ( tmpFld(i ,j ,bi,bj)+tmpFld(i ,j+1,bi,bj)) |
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& * VI(i ,j+1, bi,bj) |
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& * _dxG(i ,j+1,bi,bj) - |
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& ( tmpFld(i ,j ,bi,bj)+tmpFld(i ,j-1,bi,bj)) |
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& * VI(i ,j , bi,bj) |
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& * _dxG(i,j,bi,bj))*maskInC(i,j,bi,bj) |
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& *(HALF * _recip_dyF(i,j,bi,bj) * _recip_dxF(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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ELSE |
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C-- Use flux form for MITgcm compliance, unfortunately changes results |
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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-- first compute fluxes across cell faces |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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afx(i,j) = _dyG(i,j,bi,bj) * UI(i,j,bi,bj) |
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& * 0.5 _d 0 * (tmpFld(i,j,bi,bj)+tmpFld(i-1,j,bi,bj)) |
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afy(i,j) = _dxG(i,j,bi,bj) * VI(i,j,bi,bj) |
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& * 0.5 _d 0 * (tmpFld(i,j,bi,bj)+tmpFld(i,j-1,bi,bj)) |
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ENDDO |
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ENDDO |
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DO j=1,sNy |
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DO i=1,sNx |
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fld(i,j,bi,bj)=fldNm1(i,j,bi,bj) |
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& -DELTT * ( |
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& afx(i+1,j) - afx(i,j) |
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& + afy(i,j+1) - afy(i,j) |
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& )*recip_rA(i,j,bi,bj)*maskInC(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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ENDIF |
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CALL EXCH_XY_RL( fld, myThid ) |
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ENDDO |
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IF ( DIFF1.GT.0. _d 0 ) THEN |
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C NOW DO DIFFUSION |
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C make a working copy of field from last 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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tmpFld(i,j,bi,bj) = fldNm1(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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C NOW CALCULATE DIFFUSION COEF ROUGHLY |
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C 1rst pass: compute changes due to harmonic diffusion and add it to ice-field |
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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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DIFFA(i,j,bi,bj) = MIN( _dxF(i,j,bi,bj), _dyF(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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C- Compute laplacian of ice-field; return result in same array |
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CALL DIFFUS( tmpFld, DIFFA, iceMsk, myThid ) |
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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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fld(i,j,bi,bj) = ( fld(i,j,bi,bj) |
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& +tmpFld(i,j,bi,bj)*DIFF1*DELTT |
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& )*iceMsk(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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c IF ( useBiHarmonic ) THEN |
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C 2nd pass: compute changes due to biharmonic diffusion and add it to ice-field |
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_EXCH_XY_RL( tmpFld, myThid ) |
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C use some strange quadratic form for the second time around |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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C to avoid recomputations when there was a k loop; not needed anymore |
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c DIFFA(i,j,bi,bj) = MIN( _dxF(i,j,bi,bj), _dyF(i,j,bi,bj) ) |
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#endif |
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DIFFA(i,j,bi,bj) = - DIFFA(i,j,bi,bj)*DIFFA(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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C- Compute bilaplacian (laplacian of laplacian); return result in same array |
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CALL DIFFUS( tmpFld, DIFFA, iceMsk, myThid ) |
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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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fld(i,j,bi,bj) = ( fld(i,j,bi,bj) |
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& +tmpFld(i,j,bi,bj)*DIFF1*DELTT |
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& )*iceMsk(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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C-- end biharmonic block |
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c ENDIF |
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C-- end DIFF1 > 0 block |
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ENDIF |
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RETURN |
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END |
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