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heimbach |
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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 0 |
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C !ROUTINE: STREAMICE_INIT_FIXED |
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C !INTERFACE: |
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SUBROUTINE STREAMICE_INIT_PHI( myThid ) |
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C !DESCRIPTION: |
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C Initialize STREAMICE nodal basis gradients for FEM solver |
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C !USES: |
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IMPLICIT NONE |
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#include "EEPARAMS.h" |
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#include "SIZE.h" |
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#include "PARAMS.h" |
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#include "STREAMICE.h" |
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#include "STREAMICE_CG.h" |
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#include "GRID.h" |
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C myThid :: my Thread Id number |
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INTEGER myThid |
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CEOP |
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C !LOCAL VARIABLES: |
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C === Local variables === |
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INTEGER bi, bj, i, j, xnode, ynode, xq, yq, m, n, p, kx, ky |
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REAL gradx(2), grady(2) ! gradients at quadrature points |
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C here the terms used to calculate matrix terms in the |
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C velocity solve are initialized |
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C |
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C this is a quasi-finite element method; the gradient |
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C of the basis functions are approximated based on knowledge |
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C of the grid |
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C |
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C Dphi (i,j,bi,bj,m,n,p): |
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C gradient (in p-direction) of nodal basis function in |
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C cell (i,j) on thread (bi,bj) which is centered on node m, |
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C at quadrature point n |
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C |
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C % 3 - 4 |
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C % | | |
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C % 1 - 2 |
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C |
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C NOTE 2x2 quadrature is hardcoded - might make it specifiable through CPP |
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C |
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C this will not be updated in overlap cells - so we extend it as far as we can |
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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-1 |
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DO i=1-Olx,sNx+Olx-1 |
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DO xq = 1,2 |
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gradx(xq) = Xquad(3-xq) * recip_dxG (i,j,bi,bj) + |
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& Xquad(xq) * recip_dxG (i+1,j,bi,bj) |
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grady(xq) = Xquad(3-xq) * recip_dyG (i,j,bi,bj) + |
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& Xquad(xq) * recip_dyG (i,j+1,bi,bj) |
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ENDDO |
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DO n = 1,4 |
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xq = 2 - mod(n,2) |
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yq = floor ((n+1)/2.0) |
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DO m = 1,4 |
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xnode = 2 - mod(m,2) |
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ynode = floor ((m+1)/2.0) |
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kx = 1 ; ky = 1 |
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if (xq.eq.xnode) kx = 2 |
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if (yq.eq.ynode) ky = 2 |
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Dphi (i,j,bi,bj,m,n,1) = |
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& (2*xnode-3) * Xquad(ky) * gradx(yq) |
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Dphi (i,j,bi,bj,m,n,2) = |
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& (2*ynode-3) * Xquad(kx) * grady(xq) |
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ENDDO |
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grid_jacq_streamice (i,j,bi,bj,n) = |
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& (Xquad(3-xq)*dyG(i,j,bi,bj) + Xquad(xq)*dyG(i+1,j,bi,bj)) * |
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& (Xquad(3-yq)*dxG(i,j,bi,bj) + Xquad(yq)*dxG(i,j+1,bi,bj)) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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RETURN |
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END |
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