1 |
dgoldberg |
1.4 |
C $Header: /u/gcmpack/MITgcm_contrib/dgoldberg/streamice/streamice_cg_functions.F,v 1.3 2012/05/14 16:53:09 dgoldberg Exp $ |
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heimbach |
1.1 |
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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heimbach |
1.2 |
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy |
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heimbach |
1.1 |
_RL Ucell (2,2) |
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_RL Vcell (2,2) |
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_RL Hcell (2,2) |
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heimbach |
1.2 |
_RL phival(2,2) |
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uret(1,1,1,1) = uret(1,1,1,1) |
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vret(1,1,1,1) = vret(1,1,1,1) |
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heimbach |
1.1 |
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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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heimbach |
1.2 |
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heimbach |
1.1 |
IF (STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) THEN |
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heimbach |
1.2 |
DO iq = 1,2 |
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heimbach |
1.1 |
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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heimbach |
1.2 |
jlq = 1 |
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heimbach |
1.1 |
if (inode.eq.iq) ilq = 2 |
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heimbach |
1.2 |
if (jnode.eq.jq) jlq = 2 |
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phival(inode,jnode) = Xquad(ilq)*Xquad(jlq) |
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heimbach |
1.1 |
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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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heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
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heimbach |
1.1 |
& (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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heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
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heimbach |
1.1 |
& (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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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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heimbach |
1.2 |
& phival(inode,jnode) * |
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& grid_jacq_streamice(i,j,bi,bj,n) * |
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heimbach |
1.1 |
& 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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heimbach |
1.2 |
& phival(inode,jnode) * |
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& grid_jacq_streamice(i,j,bi,bj,n) * |
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heimbach |
1.1 |
& 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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heimbach |
1.2 |
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heimbach |
1.1 |
enddo |
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enddo |
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heimbach |
1.2 |
c-- STREAMICE_hmask |
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heimbach |
1.1 |
endif |
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heimbach |
1.2 |
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heimbach |
1.1 |
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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dgoldberg |
1.3 |
#ifdef STREAMICE_CONSTRUCT_MATRIX |
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heimbach |
1.1 |
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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heimbach |
1.2 |
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy |
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_RL phival(2,2) |
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heimbach |
1.1 |
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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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281 |
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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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285 |
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if (inodx.eq.iq) ilqx = 2 |
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if (inody.eq.jq) ilqy = 2 |
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heimbach |
1.2 |
phival(inodx,inody) = Xquad(ilqx)*Xquad(ilqy) |
288 |
heimbach |
1.1 |
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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) |
312 |
|
|
vx = 0 |
313 |
|
|
vy = 0 |
314 |
|
|
uq = Xquad(ilqx) * Xquad(ilqy) |
315 |
|
|
vq = 0 |
316 |
|
|
|
317 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
318 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
319 |
|
|
exy = .5*(uy+vx) + |
320 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
321 |
|
|
|
322 |
|
|
streamice_cg_A1 |
323 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
324 |
|
|
& streamice_cg_A1 |
325 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
326 |
|
|
& .25 * |
327 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
328 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
329 |
|
|
& DPhi(i,j,bi,bj,m_i,n,1)*(4*exx+2*eyy) + |
330 |
|
|
& DPhi(i,j,bi,bj,m_i,n,2)*(2*exy)) |
331 |
|
|
|
332 |
|
|
streamice_cg_A3 |
333 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
334 |
|
|
& streamice_cg_A3 |
335 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
336 |
|
|
& .25 * |
337 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
338 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
339 |
|
|
& DPhi(i,j,bi,bj,m_i,n,2)*(4*eyy+2*exx) + |
340 |
|
|
& DPhi(i,j,bi,bj,m_i,n,1)*(2*exy)) |
341 |
|
|
|
342 |
|
|
streamice_cg_A1 |
343 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
344 |
|
|
& streamice_cg_A1 |
345 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
346 |
|
|
& .25 * |
347 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
348 |
heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inodx,inody) * |
349 |
heimbach |
1.1 |
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)* |
350 |
|
|
& exx+4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
351 |
|
|
|
352 |
|
|
streamice_cg_A3 |
353 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
354 |
|
|
& streamice_cg_A3 |
355 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
356 |
|
|
& .25 * |
357 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
358 |
heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inodx,inody) * |
359 |
heimbach |
1.1 |
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)* |
360 |
|
|
& eyy+4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
361 |
|
|
|
362 |
|
|
streamice_cg_A1 |
363 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
364 |
|
|
& streamice_cg_A1 |
365 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
366 |
heimbach |
1.2 |
& .25*phival(inodx,inody) * |
367 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
368 |
heimbach |
1.1 |
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
369 |
|
|
|
370 |
|
|
streamice_cg_A3 |
371 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
372 |
|
|
& streamice_cg_A3 |
373 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
374 |
heimbach |
1.2 |
& .25*phival(inodx,inody) * |
375 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
376 |
heimbach |
1.1 |
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
377 |
|
|
|
378 |
|
|
c |
379 |
|
|
|
380 |
|
|
vx = DPhi (i,j,bi,bj,m_j,n,1) |
381 |
|
|
vy = DPhi (i,j,bi,bj,m_j,n,2) |
382 |
|
|
ux = 0 |
383 |
|
|
uy = 0 |
384 |
|
|
vq = Xquad(ilqx) * Xquad(ilqy) |
385 |
|
|
uq = 0 |
386 |
|
|
|
387 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
388 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
389 |
|
|
exy = .5*(uy+vx) + |
390 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
391 |
|
|
|
392 |
|
|
streamice_cg_A2 |
393 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
394 |
|
|
& streamice_cg_A2 |
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,1)*(4*exx+2*eyy) + |
400 |
|
|
& DPhi(i,j,bi,bj,m_i,n,2)*(2*exy)) |
401 |
|
|
|
402 |
|
|
streamice_cg_A4 |
403 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
404 |
|
|
& streamice_cg_A4 |
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) * ( |
409 |
|
|
& DPhi(i,j,bi,bj,m_i,n,2)*(4*eyy+2*exx) + |
410 |
|
|
& DPhi(i,j,bi,bj,m_i,n,1)*(2*exy)) |
411 |
|
|
|
412 |
|
|
streamice_cg_A2 |
413 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
414 |
|
|
& streamice_cg_A2 |
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 |
heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inodx,inody) * |
419 |
heimbach |
1.1 |
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)* |
420 |
|
|
& exx+4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
421 |
|
|
|
422 |
|
|
streamice_cg_A4 |
423 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
424 |
|
|
& streamice_cg_A4 |
425 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
426 |
|
|
& .25 * |
427 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
428 |
heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inodx,inody) * |
429 |
heimbach |
1.1 |
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)* |
430 |
|
|
& eyy+4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
431 |
|
|
|
432 |
|
|
streamice_cg_A2 |
433 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
434 |
|
|
& streamice_cg_A2 |
435 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
436 |
heimbach |
1.2 |
& .25*phival(inodx,inody) * |
437 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
438 |
heimbach |
1.1 |
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
439 |
|
|
|
440 |
|
|
streamice_cg_A4 |
441 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)= |
442 |
|
|
& streamice_cg_A4 |
443 |
|
|
& (i-1+inodx,j-1+inody,bi,bj,col_x,col_y)+ |
444 |
heimbach |
1.2 |
& .25*phival(inodx,inody) * |
445 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
446 |
heimbach |
1.1 |
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
447 |
|
|
|
448 |
|
|
endif |
449 |
|
|
enddo |
450 |
|
|
enddo |
451 |
|
|
endif |
452 |
|
|
enddo |
453 |
|
|
enddo |
454 |
|
|
enddo |
455 |
|
|
enddo |
456 |
|
|
endif |
457 |
|
|
enddo |
458 |
|
|
enddo |
459 |
|
|
enddo |
460 |
|
|
enddo |
461 |
|
|
|
462 |
|
|
#endif |
463 |
dgoldberg |
1.3 |
#endif |
464 |
heimbach |
1.1 |
RETURN |
465 |
|
|
END SUBROUTINE |
466 |
|
|
|
467 |
|
|
SUBROUTINE STREAMICE_CG_ADIAG( myThid, |
468 |
|
|
O uret, |
469 |
|
|
O vret) |
470 |
|
|
|
471 |
|
|
C /============================================================\ |
472 |
|
|
C | SUBROUTINE | |
473 |
|
|
C | o | |
474 |
|
|
C |============================================================| |
475 |
|
|
C | | |
476 |
|
|
C \============================================================/ |
477 |
|
|
IMPLICIT NONE |
478 |
|
|
|
479 |
|
|
C === Global variables === |
480 |
|
|
#include "SIZE.h" |
481 |
|
|
#include "EEPARAMS.h" |
482 |
|
|
#include "PARAMS.h" |
483 |
|
|
#include "GRID.h" |
484 |
|
|
#include "STREAMICE.h" |
485 |
|
|
#include "STREAMICE_CG.h" |
486 |
|
|
|
487 |
|
|
C !INPUT/OUTPUT ARGUMENTS |
488 |
|
|
C uret, vret - result of matrix operating on u, v |
489 |
|
|
C is, ie, js, je - starting and ending cells |
490 |
|
|
INTEGER myThid |
491 |
|
|
_RL uret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
492 |
|
|
_RL vret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
493 |
|
|
|
494 |
|
|
|
495 |
|
|
#ifdef ALLOW_STREAMICE |
496 |
|
|
|
497 |
|
|
C the linear action of the matrix on (u,v) with triangular finite elements |
498 |
|
|
C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
499 |
|
|
C but this may change pursuant to conversations with others |
500 |
|
|
C |
501 |
|
|
C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
502 |
|
|
C in order to make less frequent halo updates |
503 |
|
|
C isym = 1 if grid is symmetric, 0 o.w. |
504 |
|
|
|
505 |
|
|
C the linear action of the matrix on (u,v) with triangular finite elements |
506 |
|
|
C Phi has the form |
507 |
|
|
C Phi (i,j,k,q) - applies to cell i,j |
508 |
|
|
|
509 |
|
|
C 3 - 4 |
510 |
|
|
C | | |
511 |
|
|
C 1 - 2 |
512 |
|
|
|
513 |
|
|
C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
514 |
|
|
C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
515 |
|
|
C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
516 |
|
|
|
517 |
|
|
C !LOCAL VARIABLES: |
518 |
|
|
C == Local variables == |
519 |
|
|
INTEGER iq, jq, inode, jnode, i, j, bi, bj, ilq, jlq, m, n |
520 |
heimbach |
1.2 |
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy |
521 |
heimbach |
1.1 |
_RL Ucell (2,2) |
522 |
|
|
_RL Vcell (2,2) |
523 |
|
|
_RL Hcell (2,2) |
524 |
heimbach |
1.2 |
_RL phival(2,2) |
525 |
|
|
|
526 |
|
|
uret(1,1,1,1) = uret(1,1,1,1) |
527 |
|
|
vret(1,1,1,1) = vret(1,1,1,1) |
528 |
heimbach |
1.1 |
|
529 |
|
|
DO j = 0, sNy+1 |
530 |
|
|
DO i = 0, sNx+1 |
531 |
|
|
DO bj = myByLo(myThid), myByHi(myThid) |
532 |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
533 |
|
|
IF (STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) THEN |
534 |
|
|
DO iq=1,2 |
535 |
|
|
DO jq = 1,2 |
536 |
|
|
|
537 |
|
|
n = 2*(jq-1)+iq |
538 |
|
|
|
539 |
|
|
DO inode = 1,2 |
540 |
|
|
DO jnode = 1,2 |
541 |
|
|
|
542 |
|
|
m = 2*(jnode-1)+inode |
543 |
heimbach |
1.2 |
|
544 |
|
|
if (STREAMICE_umask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
545 |
|
|
|
546 |
|
|
ilq = 1 |
547 |
|
|
jlq = 1 |
548 |
heimbach |
1.1 |
|
549 |
heimbach |
1.2 |
if (inode.eq.iq) ilq = 2 |
550 |
|
|
if (jnode.eq.jq) jlq = 2 |
551 |
|
|
phival(inode,jnode) = Xquad(ilq)*Xquad(jlq) |
552 |
|
|
|
553 |
|
|
ux = DPhi (i,j,bi,bj,m,n,1) |
554 |
|
|
uy = DPhi (i,j,bi,bj,m,n,2) |
555 |
|
|
vx = 0 |
556 |
|
|
vy = 0 |
557 |
|
|
uq = Xquad(ilq) * Xquad(jlq) |
558 |
|
|
vq = 0 |
559 |
|
|
|
560 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
561 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
562 |
|
|
exy = .5*(uy+vx) + |
563 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
564 |
heimbach |
1.1 |
|
565 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
566 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
567 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
568 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
569 |
|
|
& DPhi(i,j,bi,bj,m,n,1)*(4*exx+2*eyy) + |
570 |
|
|
& DPhi(i,j,bi,bj,m,n,2)*(2*exy)) |
571 |
|
|
|
572 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
573 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
574 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
575 |
heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
576 |
heimbach |
1.1 |
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)*exx+ |
577 |
|
|
& 4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
578 |
|
|
|
579 |
|
|
|
580 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
581 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
582 |
heimbach |
1.2 |
& phival(inode,jnode) * grid_jacq_streamice(i,j,bi,bj,n) * |
583 |
heimbach |
1.1 |
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
584 |
|
|
|
585 |
|
|
|
586 |
|
|
vx = DPhi (i,j,bi,bj,m,n,1) |
587 |
|
|
vy = DPhi (i,j,bi,bj,m,n,2) |
588 |
|
|
ux = 0 |
589 |
|
|
uy = 0 |
590 |
|
|
vq = Xquad(ilq) * Xquad(jlq) |
591 |
|
|
uq = 0 |
592 |
|
|
|
593 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
594 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
595 |
|
|
exy = .5*(uy+vx) + |
596 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
597 |
|
|
|
598 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
599 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
600 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
601 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
602 |
|
|
& DPhi(i,j,bi,bj,m,n,2)*(4*eyy+2*exx) + |
603 |
|
|
& DPhi(i,j,bi,bj,m,n,1)*(2*exy)) |
604 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
605 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
606 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
607 |
heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
608 |
heimbach |
1.1 |
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)*eyy+ |
609 |
|
|
& 4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
610 |
|
|
|
611 |
|
|
|
612 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
613 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
614 |
heimbach |
1.2 |
& phival(inode,jnode) * grid_jacq_streamice(i,j,bi,bj,n) * |
615 |
heimbach |
1.1 |
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
616 |
|
|
|
617 |
|
|
endif |
618 |
heimbach |
1.2 |
|
619 |
heimbach |
1.1 |
enddo |
620 |
|
|
enddo |
621 |
|
|
enddo |
622 |
|
|
enddo |
623 |
|
|
endif |
624 |
|
|
enddo |
625 |
|
|
enddo |
626 |
|
|
enddo |
627 |
|
|
enddo |
628 |
|
|
|
629 |
|
|
#endif |
630 |
|
|
RETURN |
631 |
|
|
END SUBROUTINE |
632 |
|
|
|
633 |
|
|
|
634 |
|
|
|
635 |
|
|
SUBROUTINE STREAMICE_CG_BOUND_VALS( myThid, |
636 |
|
|
O uret, |
637 |
|
|
O vret) |
638 |
|
|
C /============================================================\ |
639 |
|
|
C | SUBROUTINE | |
640 |
|
|
C | o | |
641 |
|
|
C |============================================================| |
642 |
|
|
C | | |
643 |
|
|
C \============================================================/ |
644 |
|
|
IMPLICIT NONE |
645 |
|
|
|
646 |
|
|
C === Global variables === |
647 |
|
|
#include "SIZE.h" |
648 |
|
|
#include "EEPARAMS.h" |
649 |
|
|
#include "PARAMS.h" |
650 |
|
|
#include "GRID.h" |
651 |
|
|
#include "STREAMICE.h" |
652 |
|
|
#include "STREAMICE_CG.h" |
653 |
|
|
|
654 |
|
|
C !INPUT/OUTPUT ARGUMENTS |
655 |
|
|
C uret, vret - result of matrix operating on u, v |
656 |
|
|
C is, ie, js, je - starting and ending cells |
657 |
|
|
INTEGER myThid |
658 |
|
|
_RL uret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
659 |
|
|
_RL vret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
660 |
|
|
|
661 |
|
|
#ifdef ALLOW_STREAMICE |
662 |
|
|
|
663 |
|
|
C the linear action of the matrix on (u,v) with triangular finite elements |
664 |
|
|
C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
665 |
|
|
C but this may change pursuant to conversations with others |
666 |
|
|
C |
667 |
|
|
C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
668 |
|
|
C in order to make less frequent halo updates |
669 |
|
|
C isym = 1 if grid is symmetric, 0 o.w. |
670 |
|
|
|
671 |
|
|
C the linear action of the matrix on (u,v) with triangular finite elements |
672 |
|
|
C Phi has the form |
673 |
|
|
C Phi (i,j,k,q) - applies to cell i,j |
674 |
|
|
|
675 |
|
|
C 3 - 4 |
676 |
|
|
C | | |
677 |
|
|
C 1 - 2 |
678 |
|
|
|
679 |
|
|
C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
680 |
|
|
C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
681 |
|
|
C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
682 |
|
|
|
683 |
|
|
C !LOCAL VARIABLES: |
684 |
|
|
C == Local variables == |
685 |
|
|
INTEGER iq, jq, inode, jnode, i, j, bi, bj, ilq, jlq, m, n |
686 |
heimbach |
1.2 |
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy |
687 |
heimbach |
1.1 |
_RL Ucell (2,2) |
688 |
|
|
_RL Vcell (2,2) |
689 |
|
|
_RL Hcell (2,2) |
690 |
heimbach |
1.2 |
_RL phival(2,2) |
691 |
|
|
|
692 |
|
|
uret(1,1,1,1) = uret(1,1,1,1) |
693 |
|
|
vret(1,1,1,1) = vret(1,1,1,1) |
694 |
heimbach |
1.1 |
|
695 |
|
|
DO j = 0, sNy+1 |
696 |
|
|
DO i = 0, sNx+1 |
697 |
|
|
DO bj = myByLo(myThid), myByHi(myThid) |
698 |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
699 |
|
|
IF ((STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) .AND. |
700 |
|
|
& ((STREAMICE_umask(i,j,bi,bj).eq.3.0) .OR. |
701 |
|
|
& (STREAMICE_umask(i,j+1,bi,bj).eq.3.0) .OR. |
702 |
|
|
& (STREAMICE_umask(i+1,j,bi,bj).eq.3.0) .OR. |
703 |
|
|
& (STREAMICE_umask(i+1,j+1,bi,bj).eq.3.0))) THEN |
704 |
|
|
|
705 |
|
|
DO iq=1,2 |
706 |
|
|
DO jq = 1,2 |
707 |
|
|
|
708 |
|
|
n = 2*(jq-1)+iq |
709 |
|
|
|
710 |
|
|
uq = u_bdry_values_SI(i,j,bi,bj)*Xquad(3-iq)*Xquad(3-jq)+ |
711 |
|
|
& u_bdry_values_SI(i+1,j,bi,bj)*Xquad(iq)*Xquad(3-jq)+ |
712 |
|
|
& u_bdry_values_SI(i,j+1,bi,bj)*Xquad(3-iq)*Xquad(jq)+ |
713 |
|
|
& u_bdry_values_SI(i+1,j+1,bi,bj)*Xquad(iq)*Xquad(jq) |
714 |
|
|
vq = v_bdry_values_SI(i,j,bi,bj)*Xquad(3-iq)*Xquad(3-jq)+ |
715 |
|
|
& v_bdry_values_SI(i+1,j,bi,bj)*Xquad(iq)*Xquad(3-jq)+ |
716 |
|
|
& v_bdry_values_SI(i,j+1,bi,bj)*Xquad(3-iq)*Xquad(jq)+ |
717 |
|
|
& v_bdry_values_SI(i+1,j+1,bi,bj)*Xquad(iq)*Xquad(jq) |
718 |
|
|
ux = u_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
719 |
|
|
& u_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,1) + |
720 |
|
|
& u_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,1) + |
721 |
|
|
& u_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,1) |
722 |
|
|
uy = u_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
723 |
|
|
& u_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,2) + |
724 |
|
|
& u_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,2) + |
725 |
|
|
& u_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,2) |
726 |
|
|
vx = v_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
727 |
|
|
& v_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,1) + |
728 |
|
|
& v_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,1) + |
729 |
|
|
& v_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,1) |
730 |
|
|
vy = v_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
731 |
|
|
& v_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,2) + |
732 |
|
|
& v_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,2) + |
733 |
|
|
& v_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,2) |
734 |
|
|
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
735 |
|
|
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
736 |
|
|
exy = .5*(uy+vx) + |
737 |
|
|
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
738 |
|
|
|
739 |
|
|
do inode = 1,2 |
740 |
|
|
do jnode = 1,2 |
741 |
|
|
|
742 |
|
|
m = 2*(jnode-1)+inode |
743 |
|
|
ilq = 1 |
744 |
heimbach |
1.2 |
jlq = 1 |
745 |
heimbach |
1.1 |
if (inode.eq.iq) ilq = 2 |
746 |
|
|
if (jnode.eq.jq) jlq = 2 |
747 |
heimbach |
1.2 |
phival(inode,jnode) = Xquad(ilq)*Xquad(jlq) |
748 |
heimbach |
1.1 |
|
749 |
|
|
if (STREAMICE_umask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
750 |
|
|
|
751 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
752 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
753 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
754 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
755 |
|
|
& DPhi(i,j,bi,bj,m,n,1)*(4*exx+2*eyy) + |
756 |
|
|
& DPhi(i,j,bi,bj,m,n,2)*(2*exy)) |
757 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
758 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
759 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
760 |
|
|
& visc_streamice(i,j,bi,bj) * ( |
761 |
|
|
& DPhi(i,j,bi,bj,m,n,2)*(4*eyy+2*exx) + |
762 |
|
|
& DPhi(i,j,bi,bj,m,n,1)*(2*exy)) |
763 |
|
|
|
764 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
765 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
766 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
767 |
heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
768 |
heimbach |
1.1 |
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)*exx+ |
769 |
|
|
& 4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
770 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
771 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
772 |
|
|
& grid_jacq_streamice(i,j,bi,bj,n) * |
773 |
heimbach |
1.2 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
774 |
heimbach |
1.1 |
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)*eyy+ |
775 |
|
|
& 4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
776 |
|
|
|
777 |
|
|
! if (STREAMICE_float_cond(i,j,bi,bj) .eq. 1) then |
778 |
|
|
uret(i-1+inode,j-1+jnode,bi,bj) = |
779 |
|
|
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
780 |
heimbach |
1.2 |
& phival(inode,jnode) * grid_jacq_streamice(i,j,bi,bj,n) * |
781 |
heimbach |
1.1 |
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
782 |
|
|
vret(i-1+inode,j-1+jnode,bi,bj) = |
783 |
|
|
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
784 |
heimbach |
1.2 |
& phival(inode,jnode) * grid_jacq_streamice(i,j,bi,bj,n) * |
785 |
heimbach |
1.1 |
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
786 |
|
|
! endif |
787 |
|
|
endif |
788 |
|
|
enddo |
789 |
|
|
enddo |
790 |
|
|
enddo |
791 |
|
|
enddo |
792 |
|
|
endif |
793 |
|
|
enddo |
794 |
|
|
enddo |
795 |
|
|
enddo |
796 |
|
|
enddo |
797 |
|
|
|
798 |
|
|
#endif |
799 |
|
|
RETURN |
800 |
|
|
END SUBROUTINE |