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C $Header: /u/gcmpack/MITgcm/model/src/update_cg2d.F,v 1.11 2016/11/28 23:05:05 jmc Exp $ |
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C $Name: $ |
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|
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#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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# include "SHELFICE_OPTIONS.h" |
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#endif |
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|
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CBOP |
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C !ROUTINE: UPDATE_CG2D |
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C !INTERFACE: |
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SUBROUTINE UPDATE_CG2D( myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE UPDATE_CG2D |
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C | o Update 2d conjugate gradient solver operators |
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C | account for Free-Surf effect on total column thickness |
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C *==========================================================* |
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C | This routine is based on INI_CG2D, and simplified. It is |
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C | used when the non-linear free surface mode is activated |
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C | or when bottom depth is part of the control vector. |
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C *==========================================================* |
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C \ev |
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|
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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 "SURFACE.h" |
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#include "CG2D.h" |
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#ifdef ALLOW_SOLVE4_PS_AND_DRAG |
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# include "DYNVARS.h" |
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#endif /* ALLOW_SOLVE4_PS_AND_DRAG */ |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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# include "SHELFICE.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C === Routine arguments === |
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C myTime :: Current time in simulation |
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C myIter :: Current iteration number in simulation |
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C myThid :: Thread number for this instance of the routine. |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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|
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C !LOCAL VARIABLES: |
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C-- Note : compared to "INI_CG2D", no needs to compute again |
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C the solver normalisation factor or the solver tolerance |
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C === Local variables === |
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C bi,bj :: tile indices |
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C i,j,k :: Loop counters |
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C faceArea :: Temporary used to hold cell face areas. |
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INTEGER bi, bj |
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INTEGER i, j, k, ks |
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_RL faceArea |
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_RL pW_tmp, pS_tmp |
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LOGICAL updatePreCond |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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_RL curPrelVisc, avgGrd |
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_RL depth, eff_depth, depth_fac, pinit |
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_RL drag_fac |
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#endif |
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CEOP |
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|
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C-- Decide when to update cg2d Preconditioner : |
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IF ( cg2dPreCondFreq.EQ.0 ) THEN |
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updatePreCond = .FALSE. |
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ELSE |
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updatePreCond = ( myIter.EQ.nIter0 ) |
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IF ( MOD(myIter,cg2dPreCondFreq).EQ.0 ) updatePreCond=.TRUE. |
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ENDIF |
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|
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C-- Initialise laplace operator |
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C aW2d: integral in Z Ax/dX |
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C aS2d: integral in Z Ay/dY |
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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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aW2d(i,j,bi,bj) = 0. _d 0 |
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aS2d(i,j,bi,bj) = 0. _d 0 |
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#ifdef ALLOW_AUTODIFF |
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aC2d(i,j,bi,bj) = 0. _d 0 |
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#endif /* ALLOW_AUTODIFF */ |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_SOLVE4_PS_AND_DRAG |
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IF ( selectImplicitDrag.EQ.2 ) THEN |
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DO k=1,Nr |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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faceArea = _dyG(i,j,bi,bj)*drF(k)*deepFacC(k)*rhoFacC(k) |
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& *_hFacW(i,j,k,bi,bj) |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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IF (depthColW(i,j,bi,bj).lt.cg2dminColumnEps) THEN |
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|
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|
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drag_fac = _recip_hFacW(i,j,k,bi,bj)**2*recip_drF(k)**2* |
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& 30000. * viscArNr(k) * |
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& 1./(1+exp(-10./cg2dminColumnEps* |
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& (-1.)*(depthColW(i,j,bi,bj)-cg2dminColumnEps/2))) |
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|
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aW2d(i,j,bi,bj) = aW2d(i,j,bi,bj) |
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& + faceArea*dU_psFacX(i,j,k,bi,bj) |
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& / (1 + drag_fac*deltaTmom) |
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ELSE |
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#endif |
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aW2d(i,j,bi,bj) = aW2d(i,j,bi,bj) |
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& + faceArea*dU_psFacX(i,j,k,bi,bj) |
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& *recip_dxC(i,j,bi,bj) |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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ENDIF |
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#endif |
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|
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faceArea = _dxG(i,j,bi,bj)*drF(k)*deepFacC(k)*rhoFacC(k) |
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& *_hFacS(i,j,k,bi,bj) |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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IF (depthColS(i,j,bi,bj).lt.cg2dminColumnEps) THEN |
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|
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drag_fac = _recip_hFacS(i,j,k,bi,bj)**2*recip_drF(k)**2* |
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& 30000. * viscArNr(k)* |
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& 1./(1+exp(-10./cg2dminColumnEps* |
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& (-1.)*(depthColS(i,j,bi,bj)-cg2dminColumnEps/2))) |
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|
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|
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aS2d(i,j,bi,bj) = aS2d(i,j,bi,bj) |
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& + faceArea*dV_psFacY(i,j,k,bi,bj) |
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& / (1 + drag_fac*deltaTmom) |
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ELSE |
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#endif |
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aS2d(i,j,bi,bj) = aS2d(i,j,bi,bj) |
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& + faceArea*dV_psFacY(i,j,k,bi,bj) |
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& *recip_dyC(i,j,bi,bj) |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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ENDIF |
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#endif |
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ENDDO |
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ENDDO |
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ENDDO |
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ELSE |
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#endif /* ALLOW_SOLVE4_PS_AND_DRAG */ |
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DO k=1,Nr |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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C deep-model: *deepFacC (faceArea), /deepFacC (recip_dx,y): => no net effect |
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|
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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IF (depthColW(i,j,bi,bj).lt.cg2dminColumnEps) THEN |
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drag_fac = _recip_hFacW(i,j,k,bi,bj)**2*recip_drF(k)**2* |
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& 30000. * viscArNr(k)* |
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& 1./(1+exp(-10./cg2dminColumnEps* |
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& (-1.)*(depthColW(i,j,bi,bj)-cg2dminColumnEps/2))) |
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ELSE |
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drag_fac = 0. _d 0 |
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ENDIF |
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#endif |
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faceArea = _dyG(i,j,bi,bj)*drF(k) |
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& *_hFacW(i,j,k,bi,bj) |
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|
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|
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aW2d(i,j,bi,bj) = aW2d(i,j,bi,bj) |
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& + faceArea*recip_dxC(i,j,bi,bj) |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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& / (1 + drag_fac*deltaTmom) |
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#endif |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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IF (depthColS(i,j,bi,bj).lt.cg2dminColumnEps) THEN |
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drag_fac = _recip_hFacS(i,j,k,bi,bj)**2*recip_drF(k)**2* |
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& 30000. * viscArNr(k) * |
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& 1./(1+exp(-10./cg2dminColumnEps* |
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& (-1.)*(depthColS(i,j,bi,bj)-cg2dminColumnEps/2))) |
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ELSE |
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drag_fac = 0. _d 0 |
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ENDIF |
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#endif |
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faceArea = _dxG(i,j,bi,bj)*drF(k) |
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& *_hFacS(i,j,k,bi,bj) |
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|
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aS2d(i,j,bi,bj) = aS2d(i,j,bi,bj) |
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& + faceArea*recip_dyC(i,j,bi,bj) |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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& / (1 + drag_fac*deltaTmom) |
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#endif |
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ENDDO |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_SOLVE4_PS_AND_DRAG |
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ENDIF |
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#endif /* ALLOW_SOLVE4_PS_AND_DRAG */ |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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aW2d(i,j,bi,bj) = aW2d(i,j,bi,bj)*cg2dNorm |
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& *implicSurfPress*implicDiv2DFlow |
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#ifdef ALLOW_OBCS |
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& *maskInC(i,j,bi,bj)*maskInC(i-1,j,bi,bj) |
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#endif |
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aS2d(i,j,bi,bj) = aS2d(i,j,bi,bj)*cg2dNorm |
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& *implicSurfPress*implicDiv2DFlow |
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#ifdef ALLOW_OBCS |
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& *maskInC(i,j,bi,bj)*maskInC(i,j-1,bi,bj) |
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#endif |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_PRESSURE_RELEASE_CODE |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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IF (depthColW(i,j,bi,bj).lt.cg2dminColumnEps) THEN |
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IF (maskInC(i,j,bi,bj)*maskInC(i-1,j,bi,bj).eq.1.) THEN |
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|
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avgGrd = min (grdFactor(i,j,bi,bj),grdFactor(i-1,j,bi,bj)) |
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curPrelVisc = max((0.55+avgGrd*0.45),0. _d 0)*pReleaseVisc |
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|
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depth = depthColW(i,j,bi,bj) |
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eff_depth = cg2dminColumnEps * |
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& (1.-2./PI * COS (PI*depth / (2.*cg2dminColumnEps))) |
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aW2d(i,j,bi,bj) = aW2d(i,j,bi,bj) + |
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& curPrelVisc*(eff_depth-depth) |
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& *_dyG(i,j,bi,bj)* |
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& recip_dxC(i,j,bi,bj) * cg2dNorm * |
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& implicSurfPress*implicDiv2DFlow / |
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& deltaTmom |
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|
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ENDIF |
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ENDIF |
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IF (depthColS(i,j,bi,bj).lt.cg2dminColumnEps) THEN |
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IF (maskInC(i,j,bi,bj)*maskInC(i,j-1,bi,bj).eq.1.) THEN |
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|
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avgGrd = min (grdFactor(i,j,bi,bj),grdFactor(i,j-1,bi,bj)) |
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curPrelVisc = max((0.55+avgGrd*0.45),0. _d 0)*pReleaseVisc |
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|
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depth = depthColS(i,j,bi,bj) |
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eff_depth = cg2dminColumnEps * |
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& (1.-2./PI * COS (PI*depth / (2.*cg2dminColumnEps))) |
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aS2d(i,j,bi,bj) = aS2d(i,j,bi,bj) + |
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& curPrelVisc*(eff_depth-depth) |
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& *_dxG(i,j,bi,bj)* |
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& recip_dyC(i,j,bi,bj) * cg2dNorm * |
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& implicSurfPress*implicDiv2DFlow / |
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& deltaTmom |
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ENDIF |
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ENDIF |
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ENDDO |
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ENDDO |
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#endif |
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C-- compute matrix main diagonal : |
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IF ( deepAtmosphere ) THEN |
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DO j=1,sNy |
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DO i=1,sNx |
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ks = kSurfC(i,j,bi,bj) |
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aC2d(i,j,bi,bj) = -( |
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& aW2d(i,j,bi,bj) + aW2d(i+1, j ,bi,bj) |
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& +aS2d(i,j,bi,bj) + aS2d( i ,j+1,bi,bj) |
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& +freeSurfFac*cg2dNorm*recip_Bo(i,j,bi,bj)*deepFac2F(ks) |
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& *rA(i,j,bi,bj)/deltaTMom/deltaTFreeSurf |
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& ) |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=1,sNy |
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DO i=1,sNx |
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aC2d(i,j,bi,bj) = -( |
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& aW2d(i,j,bi,bj) + aW2d(i+1, j ,bi,bj) |
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& +aS2d(i,j,bi,bj) + aS2d( i ,j+1,bi,bj) |
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& +freeSurfFac*cg2dNorm*recip_Bo(i,j,bi,bj) |
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& *rA(i,j,bi,bj)/deltaTMom/deltaTFreeSurf |
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& ) |
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ENDDO |
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ENDDO |
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ENDIF |
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C- end bi,bj loops |
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ENDDO |
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ENDDO |
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|
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IF ( updatePreCond ) THEN |
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C-- Update overlap regions |
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CALL EXCH_XY_RS(aC2d, myThid) |
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|
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C-- Initialise preconditioner |
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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+1 |
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DO i=1,sNx+1 |
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IF ( aC2d(i,j,bi,bj) .EQ. 0. ) THEN |
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pC(i,j,bi,bj) = 1. _d 0 |
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ELSE |
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pC(i,j,bi,bj) = 1. _d 0 / aC2d(i,j,bi,bj) |
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ENDIF |
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pW_tmp = aC2d(i,j,bi,bj)+aC2d(i-1,j,bi,bj) |
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IF ( pW_tmp .EQ. 0. ) THEN |
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pW(i,j,bi,bj) = 0. |
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ELSE |
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pW(i,j,bi,bj) = |
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& -aW2d(i,j,bi,bj)/((cg2dpcOffDFac *pW_tmp)**2 ) |
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ENDIF |
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pS_tmp = aC2d(i,j,bi,bj)+aC2d(i,j-1,bi,bj) |
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IF ( pS_tmp .EQ. 0. ) THEN |
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pS(i,j,bi,bj) = 0. |
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ELSE |
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pS(i,j,bi,bj) = |
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& -aS2d(i,j,bi,bj)/((cg2dpcOffDFac *pS_tmp)**2 ) |
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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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C- if update Preconditioner : end |
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ENDIF |
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|
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RETURN |
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END |
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