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heimbach |
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C $Header: /u/gcmpack/MITgcm/pkg/streamice/streamice_init_varia.F,v 1.6 2011/06/29 16:24:10 dng 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_CG_ACTION( myThid, |
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O uret, |
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O vret, |
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I u, |
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I v, |
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I is, ie, js, je ) |
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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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C uret, vret - result of matrix operating on u, v |
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C is, ie, js, je - starting and ending cells |
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INTEGER myThid |
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_RL uret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL vret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL u (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL v (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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INTEGER is, ie, js, je |
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#ifdef ALLOW_STREAMICE |
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C the linear action of the matrix on (u,v) with triangular finite elements |
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C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
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C but this may change pursuant to conversations with others |
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C |
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C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
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C in order to make less frequent halo updates |
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C isym = 1 if grid is symmetric, 0 o.w. |
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C the linear action of the matrix on (u,v) with triangular finite elements |
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C Phi has the form |
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C Phi (i,j,k,q) - applies to cell i,j |
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C 3 - 4 |
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C | | |
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C 1 - 2 |
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C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
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C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
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C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
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C !LOCAL VARIABLES: |
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C == Local variables == |
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INTEGER iq, jq, inode, jnode, i, j, bi, bj, ilq, jlq, m, n |
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_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy, phival |
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_RL Ucell (2,2) |
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_RL Vcell (2,2) |
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_RL Hcell (2,2) |
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DO j = js, je |
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DO i = is, ie |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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IF (STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) THEN |
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DO iq=1,2 |
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DO jq = 1,2 |
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n = 2*(jq-1)+iq |
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uq = u(i,j,bi,bj) * Xquad(3-iq) * Xquad(3-jq) + |
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& u(i+1,j,bi,bj) * Xquad(iq) * Xquad(3-jq) + |
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& u(i,j+1,bi,bj) * Xquad(3-iq) * Xquad(jq) + |
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& u(i+1,j+1,bi,bj) * Xquad(iq) * Xquad(jq) |
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vq = v(i,j,bi,bj) * Xquad(3-iq) * Xquad(3-jq) + |
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& v(i+1,j,bi,bj) * Xquad(iq) * Xquad(3-jq) + |
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& v(i,j+1,bi,bj) * Xquad(3-iq) * Xquad(jq) + |
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& v(i+1,j+1,bi,bj) * Xquad(iq) * Xquad(jq) |
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ux = u(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
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& u(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,1) + |
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& u(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,1) + |
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& u(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,1) |
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uy = u(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,2) + |
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& u(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,2) + |
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& u(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,2) + |
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& u(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,2) |
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vx = v(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
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& v(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,1) + |
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& v(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,1) + |
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& v(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,1) |
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vy = v(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,2) + |
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& v(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,2) + |
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& v(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,2) + |
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& v(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,2) |
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exx = ux + k1AtC_str(i,j,bi,bj)*vq |
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eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
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exy = .5*(uy+vx) + |
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& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
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do inode = 1,2 |
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do jnode = 1,2 |
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m = 2*(jnode-1)+inode |
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ilq = 1 |
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jlq = 1 |
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if (inode.eq.iq) ilq = 2 |
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if (jnode.eq.jq) jlq = 2 |
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phival = Xquad(ilq)*Xquad(jlq) |
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if (STREAMICE_umask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
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uret(i-1+inode,j-1+jnode,bi,bj) = |
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& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
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& grid_jacq_streamice(i,j,bi,bj,n) * |
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& visc_streamice(i,j,bi,bj) * ( |
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& DPhi(i,j,bi,bj,m,n,1)*(4*exx+2*eyy) + |
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& DPhi(i,j,bi,bj,m,n,2)*(2*exy)) |
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vret(i-1+inode,j-1+jnode,bi,bj) = |
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& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
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& grid_jacq_streamice(i,j,bi,bj,n) * |
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& visc_streamice(i,j,bi,bj) * ( |
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& DPhi(i,j,bi,bj,m,n,2)*(4*eyy+2*exx) + |
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& DPhi(i,j,bi,bj,m,n,1)*(2*exy)) |
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uret(i-1+inode,j-1+jnode,bi,bj) = |
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& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
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& grid_jacq_streamice(i,j,bi,bj,n) * |
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& visc_streamice(i,j,bi,bj) * phival * |
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& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)*exx+ |
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& 4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
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vret(i-1+inode,j-1+jnode,bi,bj) = |
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& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
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& grid_jacq_streamice(i,j,bi,bj,n) * |
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& visc_streamice(i,j,bi,bj) * phival * |
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& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)*eyy+ |
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& 4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
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! IF (bi.eq.2.and.bj.eq.2.and.i.eq.15.and. |
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! & (exx.ne.0.0 .or. eyy.ne.0.0 .or. exy.ne.0.0)) THEN |
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! PRINT *, "CG_FUNCTION", j, v(i,j,bi,bj),v(i+1,j,bi,bj), |
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! & v(i,j+1,bi,bj),v(i+1,j+1,bi,bj) |
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! ENDIF |
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uret(i-1+inode,j-1+jnode,bi,bj) = |
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& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
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& phival * grid_jacq_streamice(i,j,bi,bj,n) * |
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& tau_beta_eff_streamice (i,j,bi,bj) * uq |
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vret(i-1+inode,j-1+jnode,bi,bj) = |
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& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
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& phival * grid_jacq_streamice(i,j,bi,bj,n) * |
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& tau_beta_eff_streamice (i,j,bi,bj) * vq |
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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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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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#endif |
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RETURN |
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END SUBROUTINE |
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SUBROUTINE STREAMICE_CG_MAKE_A( myThid ) |
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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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C uret, vret - result of matrix operating on u, v |
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C is, ie, js, je - starting and ending cells |
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INTEGER myThid |
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#ifdef ALLOW_STREAMICE |
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C the linear action of the matrix on (u,v) with triangular finite elements |
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C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
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C but this may change pursuant to conversations with others |
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C |
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C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
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C in order to make less frequent halo updates |
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C isym = 1 if grid is symmetric, 0 o.w. |
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C the linear action of the matrix on (u,v) with triangular finite elements |
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C Phi has the form |
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C Phi (i,j,k,q) - applies to cell i,j |
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C 3 - 4 |
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C | | |
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C 1 - 2 |
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C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
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C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
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C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
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C !LOCAL VARIABLES: |
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C == Local variables == |
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INTEGER iq, jq, inodx, inody, i, j, bi, bj, ilqx, ilqy, m_i, n |
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INTEGER jlqx, jlqy, jnodx,jnody, m_j, col_y, col_x, cg_halo, k |
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_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy, phival |
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! do i=1,3 |
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! do j=0,2 |
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! col_index_a = i + j*3 |
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! enddo |
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! enddo |
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cg_halo = min(OLx-1,OLy-1) |
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DO j = 1-cg_halo, sNy+cg_halo |
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DO i = 1-cg_halo, sNx+cg_halo |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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cc DO k=1,4 |
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DO col_x=-1,1 |
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DO col_y=-1,1 |
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streamice_cg_A1(i,j,bi,bj,col_x,col_y)=0.0 |
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streamice_cg_A2(i,j,bi,bj,col_x,col_y)=0.0 |
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streamice_cg_A3(i,j,bi,bj,col_x,col_y)=0.0 |
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streamice_cg_A4(i,j,bi,bj,col_x,col_y)=0.0 |
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ENDDO |
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ENDDO |
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cc ENDDO |
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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 j = 1-cg_halo, sNy+cg_halo |
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DO i = 1-cg_halo, sNx+cg_halo |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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IF (STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) THEN |
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DO iq=1,2 |
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DO jq = 1,2 |
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n = 2*(jq-1)+iq |
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DO inodx = 1,2 |
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DO inody = 1,2 |
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if (STREAMICE_umask(i-1+inodx,j-1+inody,bi,bj) |
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& .eq.1.0) |
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& then |
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m_i = 2*(inody-1)+inodx |
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ilqx = 1 |
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ilqy = 1 |
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if (inodx.eq.iq) ilqx = 2 |
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if (inody.eq.jq) ilqy = 2 |
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phival = Xquad(ilqx)*Xquad(ilqy) |
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DO jnodx = 1,2 |
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DO jnody = 1,2 |
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if (STREAMICE_umask(i-1+jnodx,j-1+jnody,bi,bj) |
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& .eq.1.0) |
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& then |
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m_j = 2*(jnody-1)+jnodx |
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ilqx = 1 |
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ilqy = 1 |
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if (jnodx.eq.iq) ilqx = 2 |
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if (jnody.eq.jq) ilqy = 2 |
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! col_j = col_index_a ( |
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! & jnodx+mod(inodx,2), |
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! & jnody+mod(inody,2) ) |
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col_x = mod(inodx,2)+jnodx-2 |
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col_y = mod(inody,2)+jnody-2 |
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c |
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ux = DPhi (i,j,bi,bj,m_j,n,1) |
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uy = DPhi (i,j,bi,bj,m_j,n,2) |
| 304 |
|
|
vx = 0 |
| 305 |
|
|
vy = 0 |
| 306 |
|
|
uq = Xquad(ilqx) * Xquad(ilqy) |
| 307 |
|
|
vq = 0 |
| 308 |
|
|
|
| 309 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 310 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 311 |
|
|
exy = .5*(uy+vx) + |
| 312 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 313 |
|
|
|
| 314 |
|
|
streamice_cg_A1 |
| 315 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 316 |
|
|
& streamice_cg_A1 |
| 317 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 318 |
|
|
& .25 * |
| 319 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 320 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
| 321 |
|
|
& DPhi(i,j,bi,bj,m_i,n,1)*(4*exx+2*eyy) + |
| 322 |
|
|
& DPhi(i,j,bi,bj,m_i,n,2)*(2*exy)) |
| 323 |
|
|
|
| 324 |
|
|
streamice_cg_A3 |
| 325 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 326 |
|
|
& streamice_cg_A3 |
| 327 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 328 |
|
|
& .25 * |
| 329 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 330 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
| 331 |
|
|
& DPhi(i,j,bi,bj,m_i,n,2)*(4*eyy+2*exx) + |
| 332 |
|
|
& DPhi(i,j,bi,bj,m_i,n,1)*(2*exy)) |
| 333 |
|
|
|
| 334 |
|
|
streamice_cg_A1 |
| 335 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 336 |
|
|
& streamice_cg_A1 |
| 337 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 338 |
|
|
& .25 * |
| 339 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 340 |
|
|
& visc_streamice(i,j,bi,bj) * phival * |
| 341 |
|
|
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)* |
| 342 |
|
|
& exx+4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
| 343 |
|
|
|
| 344 |
|
|
streamice_cg_A3 |
| 345 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 346 |
|
|
& streamice_cg_A3 |
| 347 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 348 |
|
|
& .25 * |
| 349 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 350 |
|
|
& visc_streamice(i,j,bi,bj) * phival * |
| 351 |
|
|
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)* |
| 352 |
|
|
& eyy+4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
| 353 |
|
|
|
| 354 |
|
|
streamice_cg_A1 |
| 355 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 356 |
|
|
& streamice_cg_A1 |
| 357 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 358 |
|
|
& .25*phival * grid_jacq_streamice(i,j,bi,bj,n) * |
| 359 |
|
|
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
| 360 |
|
|
|
| 361 |
|
|
streamice_cg_A3 |
| 362 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 363 |
|
|
& streamice_cg_A3 |
| 364 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 365 |
|
|
& .25*phival * grid_jacq_streamice(i,j,bi,bj,n) * |
| 366 |
|
|
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 367 |
|
|
|
| 368 |
|
|
c |
| 369 |
|
|
|
| 370 |
|
|
vx = DPhi (i,j,bi,bj,m_j,n,1) |
| 371 |
|
|
vy = DPhi (i,j,bi,bj,m_j,n,2) |
| 372 |
|
|
ux = 0 |
| 373 |
|
|
uy = 0 |
| 374 |
|
|
vq = Xquad(ilqx) * Xquad(ilqy) |
| 375 |
|
|
uq = 0 |
| 376 |
|
|
|
| 377 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 378 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 379 |
|
|
exy = .5*(uy+vx) + |
| 380 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 381 |
|
|
|
| 382 |
|
|
streamice_cg_A2 |
| 383 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 384 |
|
|
& streamice_cg_A2 |
| 385 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 386 |
|
|
& .25 * |
| 387 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 388 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
| 389 |
|
|
& DPhi(i,j,bi,bj,m_i,n,1)*(4*exx+2*eyy) + |
| 390 |
|
|
& DPhi(i,j,bi,bj,m_i,n,2)*(2*exy)) |
| 391 |
|
|
|
| 392 |
|
|
streamice_cg_A4 |
| 393 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 394 |
|
|
& streamice_cg_A4 |
| 395 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 396 |
|
|
& .25 * |
| 397 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 398 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
| 399 |
|
|
& DPhi(i,j,bi,bj,m_i,n,2)*(4*eyy+2*exx) + |
| 400 |
|
|
& DPhi(i,j,bi,bj,m_i,n,1)*(2*exy)) |
| 401 |
|
|
|
| 402 |
|
|
streamice_cg_A2 |
| 403 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 404 |
|
|
& streamice_cg_A2 |
| 405 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 406 |
|
|
& .25 * |
| 407 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 408 |
|
|
& visc_streamice(i,j,bi,bj) * phival * |
| 409 |
|
|
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)* |
| 410 |
|
|
& exx+4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
| 411 |
|
|
|
| 412 |
|
|
streamice_cg_A4 |
| 413 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 414 |
|
|
& streamice_cg_A4 |
| 415 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 416 |
|
|
& .25 * |
| 417 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 418 |
|
|
& visc_streamice(i,j,bi,bj) * phival * |
| 419 |
|
|
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)* |
| 420 |
|
|
& eyy+4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
| 421 |
|
|
|
| 422 |
|
|
streamice_cg_A2 |
| 423 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 424 |
|
|
& streamice_cg_A2 |
| 425 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 426 |
|
|
& .25*phival * grid_jacq_streamice(i,j,bi,bj,n) * |
| 427 |
|
|
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
| 428 |
|
|
|
| 429 |
|
|
streamice_cg_A4 |
| 430 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
| 431 |
|
|
& streamice_cg_A4 |
| 432 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
| 433 |
|
|
& .25*phival * grid_jacq_streamice(i,j,bi,bj,n) * |
| 434 |
|
|
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 435 |
|
|
|
| 436 |
|
|
endif |
| 437 |
|
|
enddo |
| 438 |
|
|
enddo |
| 439 |
|
|
endif |
| 440 |
|
|
enddo |
| 441 |
|
|
enddo |
| 442 |
|
|
enddo |
| 443 |
|
|
enddo |
| 444 |
|
|
endif |
| 445 |
|
|
enddo |
| 446 |
|
|
enddo |
| 447 |
|
|
enddo |
| 448 |
|
|
enddo |
| 449 |
|
|
|
| 450 |
|
|
#endif |
| 451 |
|
|
RETURN |
| 452 |
|
|
END SUBROUTINE |
| 453 |
|
|
|
| 454 |
|
|
SUBROUTINE STREAMICE_CG_ADIAG( myThid, |
| 455 |
|
|
O uret, |
| 456 |
|
|
O vret) |
| 457 |
|
|
|
| 458 |
|
|
C /============================================================\ |
| 459 |
|
|
C | SUBROUTINE | |
| 460 |
|
|
C | o | |
| 461 |
|
|
C |============================================================| |
| 462 |
|
|
C | | |
| 463 |
|
|
C \============================================================/ |
| 464 |
|
|
IMPLICIT NONE |
| 465 |
|
|
|
| 466 |
|
|
C === Global variables === |
| 467 |
|
|
#include "SIZE.h" |
| 468 |
|
|
#include "EEPARAMS.h" |
| 469 |
|
|
#include "PARAMS.h" |
| 470 |
|
|
#include "GRID.h" |
| 471 |
|
|
#include "STREAMICE.h" |
| 472 |
|
|
#include "STREAMICE_CG.h" |
| 473 |
|
|
|
| 474 |
|
|
C !INPUT/OUTPUT ARGUMENTS |
| 475 |
|
|
C uret, vret - result of matrix operating on u, v |
| 476 |
|
|
C is, ie, js, je - starting and ending cells |
| 477 |
|
|
INTEGER myThid |
| 478 |
|
|
_RL uret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 479 |
|
|
_RL vret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 480 |
|
|
|
| 481 |
|
|
|
| 482 |
|
|
#ifdef ALLOW_STREAMICE |
| 483 |
|
|
|
| 484 |
|
|
C the linear action of the matrix on (u,v) with triangular finite elements |
| 485 |
|
|
C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
| 486 |
|
|
C but this may change pursuant to conversations with others |
| 487 |
|
|
C |
| 488 |
|
|
C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
| 489 |
|
|
C in order to make less frequent halo updates |
| 490 |
|
|
C isym = 1 if grid is symmetric, 0 o.w. |
| 491 |
|
|
|
| 492 |
|
|
C the linear action of the matrix on (u,v) with triangular finite elements |
| 493 |
|
|
C Phi has the form |
| 494 |
|
|
C Phi (i,j,k,q) - applies to cell i,j |
| 495 |
|
|
|
| 496 |
|
|
C 3 - 4 |
| 497 |
|
|
C | | |
| 498 |
|
|
C 1 - 2 |
| 499 |
|
|
|
| 500 |
|
|
C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
| 501 |
|
|
C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
| 502 |
|
|
C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
| 503 |
|
|
|
| 504 |
|
|
C !LOCAL VARIABLES: |
| 505 |
|
|
C == Local variables == |
| 506 |
|
|
INTEGER iq, jq, inode, jnode, i, j, bi, bj, ilq, jlq, m, n |
| 507 |
|
|
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy, phival |
| 508 |
|
|
_RL Ucell (2,2) |
| 509 |
|
|
_RL Vcell (2,2) |
| 510 |
|
|
_RL Hcell (2,2) |
| 511 |
|
|
|
| 512 |
|
|
DO j = 0, sNy+1 |
| 513 |
|
|
DO i = 0, sNx+1 |
| 514 |
|
|
DO bj = myByLo(myThid), myByHi(myThid) |
| 515 |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 516 |
|
|
IF (STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) THEN |
| 517 |
|
|
DO iq=1,2 |
| 518 |
|
|
DO jq = 1,2 |
| 519 |
|
|
|
| 520 |
|
|
n = 2*(jq-1)+iq |
| 521 |
|
|
|
| 522 |
|
|
DO inode = 1,2 |
| 523 |
|
|
DO jnode = 1,2 |
| 524 |
|
|
|
| 525 |
|
|
m = 2*(jnode-1)+inode |
| 526 |
|
|
ilq = 1 |
| 527 |
|
|
jlq = 1 |
| 528 |
|
|
|
| 529 |
|
|
if (inode.eq.iq) ilq = 2 |
| 530 |
|
|
if (jnode.eq.jq) jlq = 2 |
| 531 |
|
|
phival = Xquad(ilq)*Xquad(jlq) |
| 532 |
|
|
|
| 533 |
|
|
ux = DPhi (i,j,bi,bj,m,n,1) |
| 534 |
|
|
uy = DPhi (i,j,bi,bj,m,n,2) |
| 535 |
|
|
vx = 0 |
| 536 |
|
|
vy = 0 |
| 537 |
|
|
uq = Xquad(ilq) * Xquad(jlq) |
| 538 |
|
|
vq = 0 |
| 539 |
|
|
|
| 540 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 541 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 542 |
|
|
exy = .5*(uy+vx) + |
| 543 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 544 |
|
|
|
| 545 |
|
|
if (STREAMICE_umask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
| 546 |
|
|
|
| 547 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 548 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 549 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 550 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
| 551 |
|
|
& DPhi(i,j,bi,bj,m,n,1)*(4*exx+2*eyy) + |
| 552 |
|
|
& DPhi(i,j,bi,bj,m,n,2)*(2*exy)) |
| 553 |
|
|
|
| 554 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 555 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 556 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 557 |
|
|
& visc_streamice(i,j,bi,bj) * phival * |
| 558 |
|
|
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)*exx+ |
| 559 |
|
|
& 4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
| 560 |
|
|
|
| 561 |
|
|
|
| 562 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 563 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 564 |
|
|
& phival * grid_jacq_streamice(i,j,bi,bj,n) * |
| 565 |
|
|
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
| 566 |
|
|
|
| 567 |
|
|
|
| 568 |
|
|
vx = DPhi (i,j,bi,bj,m,n,1) |
| 569 |
|
|
vy = DPhi (i,j,bi,bj,m,n,2) |
| 570 |
|
|
ux = 0 |
| 571 |
|
|
uy = 0 |
| 572 |
|
|
vq = Xquad(ilq) * Xquad(jlq) |
| 573 |
|
|
uq = 0 |
| 574 |
|
|
|
| 575 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 576 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 577 |
|
|
exy = .5*(uy+vx) + |
| 578 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 579 |
|
|
|
| 580 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 581 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 582 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 583 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
| 584 |
|
|
& DPhi(i,j,bi,bj,m,n,2)*(4*eyy+2*exx) + |
| 585 |
|
|
& DPhi(i,j,bi,bj,m,n,1)*(2*exy)) |
| 586 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 587 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 588 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 589 |
|
|
& visc_streamice(i,j,bi,bj) * phival * |
| 590 |
|
|
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)*eyy+ |
| 591 |
|
|
& 4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
| 592 |
|
|
|
| 593 |
|
|
|
| 594 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 595 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 596 |
|
|
& phival * grid_jacq_streamice(i,j,bi,bj,n) * |
| 597 |
|
|
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 598 |
|
|
|
| 599 |
|
|
endif |
| 600 |
|
|
enddo |
| 601 |
|
|
enddo |
| 602 |
|
|
enddo |
| 603 |
|
|
enddo |
| 604 |
|
|
endif |
| 605 |
|
|
enddo |
| 606 |
|
|
enddo |
| 607 |
|
|
enddo |
| 608 |
|
|
enddo |
| 609 |
|
|
|
| 610 |
|
|
#endif |
| 611 |
|
|
RETURN |
| 612 |
|
|
END SUBROUTINE |
| 613 |
|
|
|
| 614 |
|
|
|
| 615 |
|
|
|
| 616 |
|
|
SUBROUTINE STREAMICE_CG_BOUND_VALS( myThid, |
| 617 |
|
|
O uret, |
| 618 |
|
|
O vret) |
| 619 |
|
|
C /============================================================\ |
| 620 |
|
|
C | SUBROUTINE | |
| 621 |
|
|
C | o | |
| 622 |
|
|
C |============================================================| |
| 623 |
|
|
C | | |
| 624 |
|
|
C \============================================================/ |
| 625 |
|
|
IMPLICIT NONE |
| 626 |
|
|
|
| 627 |
|
|
C === Global variables === |
| 628 |
|
|
#include "SIZE.h" |
| 629 |
|
|
#include "EEPARAMS.h" |
| 630 |
|
|
#include "PARAMS.h" |
| 631 |
|
|
#include "GRID.h" |
| 632 |
|
|
#include "STREAMICE.h" |
| 633 |
|
|
#include "STREAMICE_CG.h" |
| 634 |
|
|
|
| 635 |
|
|
C !INPUT/OUTPUT ARGUMENTS |
| 636 |
|
|
C uret, vret - result of matrix operating on u, v |
| 637 |
|
|
C is, ie, js, je - starting and ending cells |
| 638 |
|
|
INTEGER myThid |
| 639 |
|
|
_RL uret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 640 |
|
|
_RL vret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 641 |
|
|
|
| 642 |
|
|
#ifdef ALLOW_STREAMICE |
| 643 |
|
|
|
| 644 |
|
|
C the linear action of the matrix on (u,v) with triangular finite elements |
| 645 |
|
|
C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
| 646 |
|
|
C but this may change pursuant to conversations with others |
| 647 |
|
|
C |
| 648 |
|
|
C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
| 649 |
|
|
C in order to make less frequent halo updates |
| 650 |
|
|
C isym = 1 if grid is symmetric, 0 o.w. |
| 651 |
|
|
|
| 652 |
|
|
C the linear action of the matrix on (u,v) with triangular finite elements |
| 653 |
|
|
C Phi has the form |
| 654 |
|
|
C Phi (i,j,k,q) - applies to cell i,j |
| 655 |
|
|
|
| 656 |
|
|
C 3 - 4 |
| 657 |
|
|
C | | |
| 658 |
|
|
C 1 - 2 |
| 659 |
|
|
|
| 660 |
|
|
C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
| 661 |
|
|
C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
| 662 |
|
|
C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
| 663 |
|
|
|
| 664 |
|
|
C !LOCAL VARIABLES: |
| 665 |
|
|
C == Local variables == |
| 666 |
|
|
INTEGER iq, jq, inode, jnode, i, j, bi, bj, ilq, jlq, m, n |
| 667 |
|
|
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy, phival |
| 668 |
|
|
_RL Ucell (2,2) |
| 669 |
|
|
_RL Vcell (2,2) |
| 670 |
|
|
_RL Hcell (2,2) |
| 671 |
|
|
|
| 672 |
|
|
DO j = 0, sNy+1 |
| 673 |
|
|
DO i = 0, sNx+1 |
| 674 |
|
|
DO bj = myByLo(myThid), myByHi(myThid) |
| 675 |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 676 |
|
|
IF ((STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) .AND. |
| 677 |
|
|
& ((STREAMICE_umask(i,j,bi,bj).eq.3.0) .OR. |
| 678 |
|
|
& (STREAMICE_umask(i,j+1,bi,bj).eq.3.0) .OR. |
| 679 |
|
|
& (STREAMICE_umask(i+1,j,bi,bj).eq.3.0) .OR. |
| 680 |
|
|
& (STREAMICE_umask(i+1,j+1,bi,bj).eq.3.0))) THEN |
| 681 |
|
|
|
| 682 |
|
|
DO iq=1,2 |
| 683 |
|
|
DO jq = 1,2 |
| 684 |
|
|
|
| 685 |
|
|
n = 2*(jq-1)+iq |
| 686 |
|
|
|
| 687 |
|
|
uq = u_bdry_values_SI(i,j,bi,bj)*Xquad(3-iq)*Xquad(3-jq)+ |
| 688 |
|
|
& u_bdry_values_SI(i+1,j,bi,bj)*Xquad(iq)*Xquad(3-jq)+ |
| 689 |
|
|
& u_bdry_values_SI(i,j+1,bi,bj)*Xquad(3-iq)*Xquad(jq)+ |
| 690 |
|
|
& u_bdry_values_SI(i+1,j+1,bi,bj)*Xquad(iq)*Xquad(jq) |
| 691 |
|
|
vq = v_bdry_values_SI(i,j,bi,bj)*Xquad(3-iq)*Xquad(3-jq)+ |
| 692 |
|
|
& v_bdry_values_SI(i+1,j,bi,bj)*Xquad(iq)*Xquad(3-jq)+ |
| 693 |
|
|
& v_bdry_values_SI(i,j+1,bi,bj)*Xquad(3-iq)*Xquad(jq)+ |
| 694 |
|
|
& v_bdry_values_SI(i+1,j+1,bi,bj)*Xquad(iq)*Xquad(jq) |
| 695 |
|
|
ux = u_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
| 696 |
|
|
& u_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,1) + |
| 697 |
|
|
& u_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,1) + |
| 698 |
|
|
& u_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,1) |
| 699 |
|
|
uy = u_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
| 700 |
|
|
& u_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,2) + |
| 701 |
|
|
& u_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,2) + |
| 702 |
|
|
& u_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,2) |
| 703 |
|
|
vx = v_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
| 704 |
|
|
& v_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,1) + |
| 705 |
|
|
& v_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,1) + |
| 706 |
|
|
& v_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,1) |
| 707 |
|
|
vy = v_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
| 708 |
|
|
& v_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,2) + |
| 709 |
|
|
& v_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,2) + |
| 710 |
|
|
& v_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,2) |
| 711 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 712 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 713 |
|
|
exy = .5*(uy+vx) + |
| 714 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 715 |
|
|
|
| 716 |
|
|
do inode = 1,2 |
| 717 |
|
|
do jnode = 1,2 |
| 718 |
|
|
|
| 719 |
|
|
m = 2*(jnode-1)+inode |
| 720 |
|
|
ilq = 1 |
| 721 |
|
|
ilq = 1 |
| 722 |
|
|
if (inode.eq.iq) ilq = 2 |
| 723 |
|
|
if (jnode.eq.jq) jlq = 2 |
| 724 |
|
|
phival = Xquad(ilq)*Xquad(jlq) |
| 725 |
|
|
|
| 726 |
|
|
if (STREAMICE_umask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
| 727 |
|
|
|
| 728 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 729 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 730 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 731 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
| 732 |
|
|
& DPhi(i,j,bi,bj,m,n,1)*(4*exx+2*eyy) + |
| 733 |
|
|
& DPhi(i,j,bi,bj,m,n,2)*(2*exy)) |
| 734 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 735 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 736 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 737 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
| 738 |
|
|
& DPhi(i,j,bi,bj,m,n,2)*(4*eyy+2*exx) + |
| 739 |
|
|
& DPhi(i,j,bi,bj,m,n,1)*(2*exy)) |
| 740 |
|
|
|
| 741 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 742 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 743 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 744 |
|
|
& visc_streamice(i,j,bi,bj) * phival * |
| 745 |
|
|
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)*exx+ |
| 746 |
|
|
& 4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
| 747 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 748 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 749 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 750 |
|
|
& visc_streamice(i,j,bi,bj) * phival * |
| 751 |
|
|
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)*eyy+ |
| 752 |
|
|
& 4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
| 753 |
|
|
|
| 754 |
|
|
! if (STREAMICE_float_cond(i,j,bi,bj) .eq. 1) then |
| 755 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 756 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 757 |
|
|
& phival * grid_jacq_streamice(i,j,bi,bj,n) * |
| 758 |
|
|
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
| 759 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 760 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 761 |
|
|
& phival * grid_jacq_streamice(i,j,bi,bj,n) * |
| 762 |
|
|
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 763 |
|
|
! endif |
| 764 |
|
|
endif |
| 765 |
|
|
enddo |
| 766 |
|
|
enddo |
| 767 |
|
|
enddo |
| 768 |
|
|
enddo |
| 769 |
|
|
endif |
| 770 |
|
|
enddo |
| 771 |
|
|
enddo |
| 772 |
|
|
enddo |
| 773 |
|
|
enddo |
| 774 |
|
|
|
| 775 |
|
|
#endif |
| 776 |
|
|
RETURN |
| 777 |
|
|
END SUBROUTINE |
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