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dgoldberg |
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C $Header: /u/gcmpack/MITgcm_contrib/dgoldberg/streamice/streamice_driving_stress.F,v 1.2 2012/09/18 17:06:48 dgoldberg Exp $ |
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C $Name: $ |
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#include "STREAMICE_OPTIONS.h" |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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CBOP |
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SUBROUTINE STREAMICE_DRIVING_STRESS_PPM( myThid ) |
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! O taudx, |
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! O taudy ) |
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C /============================================================\ |
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C | SUBROUTINE | |
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C | o | |
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C |============================================================| |
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C | | |
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C \============================================================/ |
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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 "STREAMICE.h" |
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#include "STREAMICE_CG.h" |
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C !INPUT/OUTPUT ARGUMENTS |
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INTEGER myThid |
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! _RL taudx (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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! _RL taudx (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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#ifdef ALLOW_STREAMICE |
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C LOCAL VARIABLES |
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INTEGER i, j, bi, bj, k, l, |
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& Gi, Gj |
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LOGICAL at_west_bdry, at_east_bdry, |
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& at_north_bdry, at_south_bdry |
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_RL sx, sy, diffx, diffy, neu_val |
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IF (myXGlobalLo.eq.1) at_west_bdry = .true. |
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IF (myYGlobalLo.eq.1) at_south_bdry = .true. |
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IF (myXGlobalLo-1+sNx*nSx.eq.Nx) |
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& at_east_bdry = .false. |
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IF (myYGlobalLo-1+sNy*nSy.eq.Ny) |
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& at_north_bdry = .false. |
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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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taudx_SI(i,j,bi,bj) = 0. _d 0 |
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taudy_SI(i,j,bi,bj) = 0. _d 0 |
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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 bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO i=0,sNx+1 |
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DO j=0,sNy+1 |
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diffx = 0. _d 0 |
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diffy = 0. _d 0 |
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sx = 0. _d 0 |
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sy = 0. _d 0 |
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Gi = (myXGlobalLo-1)+(bi-1)*sNx+i |
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Gj = (myYGlobalLo-1)+(bj-1)*sNy+j |
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IF (STREAMICE_hmask(i,j,bi,bj).eq.1.0) THEN |
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! we are in an "active" cell |
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IF (Gi.eq.1.AND..NOT.STREAMICE_EW_periodic) THEN |
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! western boundary - only one sided possible |
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IF (STREAMICE_hmask(i+1,j,bi,bj).eq.1.0) THEN |
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! cell to east is active |
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sx = (surf_el_streamice(i+1,j,bi,bj)- |
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& surf_el_streamice(i,j,bi,bj))/dxC(i+1,j,bi,bj) |
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ELSE |
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! cell to east is empty |
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sx = 0. _d 0 |
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ENDIF |
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DO k=0,1 |
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DO l=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudx_SI(i+k,j+l,bi,bj) = taudx_SI(i+k,j+l,bi,bj) - |
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& 0.25 * streamice_density * gravity * |
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& (streamice_bg_surf_slope_x+sx) * |
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& H_streamice(i,j,bi,bj) * rA(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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ELSEIF (Gi.eq.Nx.AND..NOT.STREAMICE_EW_periodic) THEN |
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! eastern boundary - only one sided possible |
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IF (STREAMICE_hmask(i-1,j,bi,bj).eq.1.0) THEN |
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! cell to west is active |
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sx = (surf_el_streamice(i,j,bi,bj)- |
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& surf_el_streamice(i-1,j,bi,bj))/dxC(i,j,bi,bj) |
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ELSE |
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! cell to west is inactive |
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sx = 0. _d 0 |
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ENDIF |
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DO k=0,1 |
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DO l=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudx_SI(i+k,j+l,bi,bj) = taudx_SI(i+k,j+l,bi,bj) - |
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& 0.25 * streamice_density * gravity * |
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& (streamice_bg_surf_slope_x+sx) * |
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& H_streamice(i,j,bi,bj) * rA(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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ELSE |
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! interior (west-east) cell |
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IF (STREAMICE_hmask(i+1,j,bi,bj).eq.1.0 .and. |
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& STREAMICE_hmask(i-1,j,bi,bj).eq.1.0) THEN |
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k = 0 |
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DO l=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudx_SI(i+k,j+l,bi,bj) = taudx_SI(i+k,j+l,bi,bj) - |
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& streamice_density * gravity * (1./6.) * |
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& (-2.*surf_el_streamice(i-1,j,bi,bj) + |
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& surf_el_streamice(i,j,bi,bj) + |
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& surf_el_streamice(i+1,j,bi,bj) + |
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& 3.*streamice_bg_surf_slope_x * dxF(i,j,bi,bj)) * |
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& H_streamice(i,j,bi,bj) * .5 * dyF(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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k = 1 |
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DO l=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudx_SI(i+k,j+l,bi,bj) = taudx_SI(i+k,j+l,bi,bj) - |
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& streamice_density * gravity * (1./6.) * |
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& (-surf_el_streamice(i-1,j,bi,bj) - |
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& surf_el_streamice(i,j,bi,bj) + |
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& 2*surf_el_streamice(i+1,j,bi,bj) + |
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& 3.*streamice_bg_surf_slope_x * dxF(i,j,bi,bj)) * |
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& H_streamice(i,j,bi,bj) * .5 * dyF(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ELSE |
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IF (STREAMICE_hmask(i+1,j,bi,bj).eq.1.0) THEN |
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sx = (surf_el_streamice(i+1,j,bi,bj)- |
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& surf_el_streamice(i,j,bi,bj))/dxC(i+1,j,bi,bj) |
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ELSEIF (STREAMICE_hmask(i-1,j,bi,bj).eq.1.0) THEN |
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sx = (surf_el_streamice(i,j,bi,bj)- |
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& surf_el_streamice(i-1,j,bi,bj))/dxC(i,j,bi,bj) |
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ELSE |
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sx = 0. _d 0 |
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ENDIF |
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DO k=0,1 |
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DO l=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudx_SI(i+k,j+l,bi,bj) = taudx_SI(i+k,j+l,bi,bj) - |
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& 0.25 * streamice_density * gravity * |
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& (streamice_bg_surf_slope_x+sx) * |
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& H_streamice(i,j,bi,bj) * rA(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDIF |
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ENDIF |
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!!!!!!!! DONE WITH X-GRADIENT |
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IF (Gj.eq.1.AND..NOT.STREAMICE_NS_periodic) THEN |
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! western boundary - only one sided possible |
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IF (STREAMICE_hmask(i,j+1,bi,bj).eq.1.0) THEN |
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! cell to east is active |
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sy = (surf_el_streamice(i,j+1,bi,bj)- |
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& surf_el_streamice(i,j,bi,bj))/dyC(i,j+1,bi,bj) |
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ELSE |
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! cell to east is empty |
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sy = 0. _d 0 |
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ENDIF |
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DO k=0,1 |
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DO l=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudy_SI(i+k,j+l,bi,bj) = taudy_SI(i+k,j+l,bi,bj) - |
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& 0.25 * streamice_density * gravity * |
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& (streamice_bg_surf_slope_y+sy) * |
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& H_streamice(i,j,bi,bj) * rA(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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ELSEIF (Gj.eq.Ny.AND..NOT.STREAMICE_NS_periodic) THEN |
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! eastern boundary - only one sided possible |
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IF (STREAMICE_hmask(i,j-1,bi,bj).eq.1.0) THEN |
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! cell to west is active |
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sy = (surf_el_streamice(i,j,bi,bj)- |
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& surf_el_streamice(i,j-1,bi,bj))/dyC(i,j,bi,bj) |
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ELSE |
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! cell to west is inactive |
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sy = 0. _d 0 |
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ENDIF |
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DO k=0,1 |
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DO l=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudy_SI(i+k,j+l,bi,bj) = taudy_SI(i+k,j+l,bi,bj) - |
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& 0.25 * streamice_density * gravity * |
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& (streamice_bg_surf_slope_y+sy) * |
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& H_streamice(i,j,bi,bj) * rA(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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ELSE |
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! interior (west-east) cell |
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IF (STREAMICE_hmask(i,j+1,bi,bj).eq.1.0 .and. |
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& STREAMICE_hmask(i,j-1,bi,bj).eq.1.0) THEN |
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l = 0 |
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DO k=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudy_SI(i+k,j+l,bi,bj) = taudy_SI(i+k,j+l,bi,bj) - |
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& streamice_density * gravity * (1./6.) * |
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& (-2.*surf_el_streamice(i,j-1,bi,bj) + |
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& surf_el_streamice(i,j,bi,bj) + |
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& surf_el_streamice(i,j+1,bi,bj) + |
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& 3.*streamice_bg_surf_slope_y * dyF(i,j,bi,bj)) * |
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& H_streamice(i,j,bi,bj) * .5 * dxF(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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l = 1 |
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DO k=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudy_SI(i+k,j+l,bi,bj) = taudy_SI(i+k,j+l,bi,bj) - |
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& streamice_density * gravity * (1./6.) * |
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& (-surf_el_streamice(i,j-1,bi,bj) - |
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& surf_el_streamice(i,j,bi,bj) + |
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& 2*surf_el_streamice(i,j+1,bi,bj) + |
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& 3.*streamice_bg_surf_slope_y * dyF(i,j,bi,bj)) * |
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& H_streamice(i,j,bi,bj) * .5 * dxF(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ELSE |
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IF (STREAMICE_hmask(i,j+1,bi,bj).eq.1.0) THEN |
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sy = (surf_el_streamice(i,j+1,bi,bj)- |
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& surf_el_streamice(i,j,bi,bj))/dxC(i,j+1,bi,bj) |
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ELSEIF (STREAMICE_hmask(i,j-1,bi,bj).eq.1.0) THEN |
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sy = (surf_el_streamice(i,j,bi,bj)- |
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& surf_el_streamice(i,j-1,bi,bj))/dxC(i,j,bi,bj) |
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ELSE |
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sy = 0. _d 0 |
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ENDIF |
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DO k=0,1 |
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DO l=0,1 |
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IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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taudy_SI(i+k,j+l,bi,bj) = taudy_SI(i+k,j+l,bi,bj) - |
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& 0.25 * streamice_density * gravity * |
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& (streamice_bg_surf_slope_y+sy) * |
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& H_streamice(i,j,bi,bj) * rA(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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ENDIF |
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ENDIF |
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! DO k=0,1 |
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! DO l=0,1 |
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! IF (STREAMICE_umask(i+k,j+l,bi,bj).eq.1.0) THEN |
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! taudx_SI(i+k,j+l,bi,bj) = taudx_SI(i+k,j+l,bi,bj) - |
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! & 0.25 * streamice_density * gravity * |
| 334 |
|
|
! & (streamice_bg_surf_slope_x+sx) * |
| 335 |
|
|
! & H_streamice(i,j,bi,bj) * rA(i,j,bi,bj) |
| 336 |
|
|
! taudy_SI(i+k,j+l,bi,bj) = taudy_SI(i+k,j+l,bi,bj) - |
| 337 |
|
|
! & 0.25 * streamice_density * gravity * |
| 338 |
|
|
! & (streamice_bg_surf_slope_y+sy) * |
| 339 |
|
|
! & H_streamice(i,j,bi,bj) * rA(i,j,bi,bj) |
| 340 |
|
|
! |
| 341 |
|
|
! ENDIF |
| 342 |
|
|
! ENDDO |
| 343 |
|
|
! ENDDO |
| 344 |
|
|
|
| 345 |
|
|
IF (float_frac_streamice(i,j,bi,bj) .eq. 1.0) then |
| 346 |
|
|
#ifdef USE_ALT_RLOW |
| 347 |
|
|
neu_val = .5 * gravity * |
| 348 |
|
|
& (streamice_density * H_streamice (i,j,bi,bj) ** 2 - |
| 349 |
|
|
& streamice_density_ocean_avg * R_low_si(i,j,bi,bj) ** 2) |
| 350 |
|
|
#else |
| 351 |
|
|
neu_val = .5 * gravity * |
| 352 |
|
|
& (streamice_density * H_streamice (i,j,bi,bj) ** 2 - |
| 353 |
|
|
& streamice_density_ocean_avg * R_low(i,j,bi,bj) ** 2 |
| 354 |
|
|
#endif |
| 355 |
|
|
ELSE |
| 356 |
|
|
neu_val = .5 * gravity * |
| 357 |
|
|
& (1-streamice_density/streamice_density_ocean_avg) * |
| 358 |
|
|
& streamice_density * H_streamice(i,j,bi,bj) ** 2 |
| 359 |
|
|
ENDIF |
| 360 |
|
|
|
| 361 |
|
|
IF ((STREAMICE_ufacemask(i,j,bi,bj) .eq. 2) |
| 362 |
|
|
& .OR. (STREAMICE_hmask(i-1,j,bi,bj) .eq. 0) |
| 363 |
|
|
& .OR. (STREAMICE_hmask(i-1,j,bi,bj) .eq. 2) ) THEN ! left face of the cell is at a stress boundary |
| 364 |
|
|
! the depth-integrated longitudinal stress is equal to the difference of depth-integrated pressure on either side of the face |
| 365 |
|
|
! on the ice side, it is rho g h^2 / 2 |
| 366 |
|
|
! on the ocean side, it is rhow g (delta OD)^2 / 2 |
| 367 |
|
|
! OD can be zero under the ice; but it is ASSUMED on the ice-free side of the face, topography elevation is not above the base of the |
| 368 |
|
|
! ice in the current cell |
| 369 |
|
|
|
| 370 |
|
|
taudx_SI(i,j,bi,bj) = taudx_SI(i,j,bi,bj) - |
| 371 |
|
|
& .5 * dyG(i,j,bi,bj) * neu_val ! note negative sign is due to direction of normal vector |
| 372 |
|
|
taudx_SI(i,j+1,bi,bj) = taudx_SI(i,j+1,bi,bj) - |
| 373 |
|
|
& .5 * dyG(i,j,bi,bj) * neu_val |
| 374 |
|
|
ENDIF |
| 375 |
|
|
|
| 376 |
|
|
IF ((STREAMICE_ufacemask(i+1,j,bi,bj) .eq. 2) |
| 377 |
|
|
& .OR. (STREAMICE_hmask(i+1,j,bi,bj) .eq. 0) |
| 378 |
|
|
& .OR. (STREAMICE_hmask(i+1,j,bi,bj) .eq. 2) ) THEN |
| 379 |
|
|
|
| 380 |
|
|
taudx_SI(i+1,j,bi,bj) = taudx_SI(i+1,j,bi,bj) + |
| 381 |
|
|
& .5 * dyG(i+1,j,bi,bj) * neu_val ! note negative sign is due to direction of normal vector |
| 382 |
|
|
taudx_SI(i+1,j+1,bi,bj) = taudx_SI(i+1,j+1,bi,bj) + |
| 383 |
|
|
& .5 * dyG(i+1,j,bi,bj) * neu_val |
| 384 |
|
|
ENDIF |
| 385 |
|
|
|
| 386 |
|
|
IF ((STREAMICE_vfacemask(i,j,bi,bj) .eq. 2) |
| 387 |
|
|
& .OR. (STREAMICE_hmask(i,j-1,bi,bj) .eq. 0) |
| 388 |
|
|
& .OR. (STREAMICE_hmask(i,j-1,bi,bj) .eq. 2) ) THEN |
| 389 |
|
|
|
| 390 |
|
|
taudy_SI(i,j,bi,bj) = taudy_SI(i,j,bi,bj) - |
| 391 |
|
|
& .5 * dxG(i,j,bi,bj) * neu_val ! note negative sign is due to direction of normal vector |
| 392 |
|
|
taudy_SI(i+1,j,bi,bj) = taudy_SI(i+1,j,bi,bj) - |
| 393 |
|
|
& .5 * dxG(i,j,bi,bj) * neu_val |
| 394 |
|
|
ENDIF |
| 395 |
|
|
|
| 396 |
|
|
IF ((STREAMICE_vfacemask(i,j+1,bi,bj) .eq. 2) |
| 397 |
|
|
& .OR. (STREAMICE_hmask(i,j+1,bi,bj) .eq. 0) |
| 398 |
|
|
& .OR. (STREAMICE_hmask(i,j+1,bi,bj) .eq. 2) ) THEN |
| 399 |
|
|
|
| 400 |
|
|
taudy_SI(i,j+1,bi,bj) = taudy_SI(i,j+1,bi,bj) + |
| 401 |
|
|
& .5 * dxG(i,j+1,bi,bj) * neu_val ! note negative sign is due to direction of normal vector |
| 402 |
|
|
taudy_SI(i+1,j+1,bi,bj) = taudy_SI(i+1,j+1,bi,bj) + |
| 403 |
|
|
& .5 * dxG(i,j+1,bi,bj) * neu_val |
| 404 |
|
|
ENDIF |
| 405 |
|
|
|
| 406 |
|
|
ENDIF |
| 407 |
|
|
ENDDO |
| 408 |
|
|
ENDDO |
| 409 |
|
|
ENDDO |
| 410 |
|
|
ENDDO |
| 411 |
|
|
|
| 412 |
|
|
|
| 413 |
|
|
|
| 414 |
|
|
#endif |
| 415 |
|
|
RETURN |
| 416 |
|
|
END |
| 417 |
|
|
|
| 418 |
|
|
|
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