| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/streamice/streamice_cg_functions.F,v 1.2 2013/08/24 20:35:17 dgoldberg Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "STREAMICE_OPTIONS.h" |
| 5 |
|
| 6 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 7 |
|
| 8 |
CBOP |
| 9 |
SUBROUTINE STREAMICE_CG_ACTION( myThid, |
| 10 |
O uret, |
| 11 |
O vret, |
| 12 |
I u, |
| 13 |
I v, |
| 14 |
I is, ie, js, je ) |
| 15 |
C /============================================================\ |
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C | SUBROUTINE | |
| 17 |
C | o | |
| 18 |
C |============================================================| |
| 19 |
C | | |
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C \============================================================/ |
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IMPLICIT NONE |
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|
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C === Global variables === |
| 24 |
#include "SIZE.h" |
| 25 |
#include "EEPARAMS.h" |
| 26 |
#include "PARAMS.h" |
| 27 |
#include "GRID.h" |
| 28 |
#include "STREAMICE.h" |
| 29 |
#include "STREAMICE_CG.h" |
| 30 |
|
| 31 |
C !INPUT/OUTPUT ARGUMENTS |
| 32 |
C uret, vret - result of matrix operating on u, v |
| 33 |
C is, ie, js, je - starting and ending cells |
| 34 |
INTEGER myThid |
| 35 |
_RL uret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 36 |
_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) |
| 39 |
INTEGER is, ie, js, je |
| 40 |
|
| 41 |
#ifdef ALLOW_STREAMICE |
| 42 |
|
| 43 |
C the linear action of the matrix on (u,v) with triangular finite elements |
| 44 |
C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
| 45 |
C but this may change pursuant to conversations with others |
| 46 |
C |
| 47 |
C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
| 48 |
C in order to make less frequent halo updates |
| 49 |
C isym = 1 if grid is symmetric, 0 o.w. |
| 50 |
|
| 51 |
C the linear action of the matrix on (u,v) with triangular finite elements |
| 52 |
C Phi has the form |
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C Phi (i,j,k,q) - applies to cell i,j |
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|
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C 3 - 4 |
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C | | |
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C 1 - 2 |
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|
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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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|
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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,Gi,Gj |
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_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy |
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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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_RL phival(2,2) |
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|
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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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|
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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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|
| 80 |
Gi = (myXGlobalLo-1)+(bi-1)*sNx+i |
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Gj = (myYGlobalLo-1)+(bj-1)*sNy+j |
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|
| 83 |
IF (STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) THEN |
| 84 |
DO iq = 1,2 |
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DO jq = 1,2 |
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|
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n = 2*(jq-1)+iq |
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|
| 89 |
|
| 90 |
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) |
| 110 |
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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|
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do inode = 1,2 |
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do jnode = 1,2 |
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|
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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(inode,jnode) = Xquad(ilq)*Xquad(jlq) |
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|
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if (STREAMICE_umask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
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|
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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) * |
| 134 |
& visc_streamice(i,j,bi,bj) * ( |
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& DPhi(i,j,bi,bj,m,n,1)*(4*exx+2*eyy) + |
| 136 |
& DPhi(i,j,bi,bj,m,n,2)*(2*exy)) |
| 137 |
|
| 138 |
|
| 139 |
uret(i-1+inode,j-1+jnode,bi,bj) = |
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& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 141 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 142 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
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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) |
| 145 |
|
| 146 |
|
| 147 |
uret(i-1+inode,j-1+jnode,bi,bj) = |
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& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 149 |
& phival(inode,jnode) * |
| 150 |
& 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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|
| 153 |
|
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endif |
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|
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if (STREAMICE_vmask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
| 157 |
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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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(inode,jnode) * |
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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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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(inode,jnode) * |
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& grid_jacq_streamice(i,j,bi,bj,n) * |
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& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 174 |
|
| 175 |
endif |
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enddo |
| 177 |
enddo |
| 178 |
|
| 179 |
enddo |
| 180 |
enddo |
| 181 |
c-- STREAMICE_hmask |
| 182 |
endif |
| 183 |
|
| 184 |
enddo |
| 185 |
enddo |
| 186 |
enddo |
| 187 |
enddo |
| 188 |
|
| 189 |
#endif |
| 190 |
RETURN |
| 191 |
END SUBROUTINE |
| 192 |
|
| 193 |
SUBROUTINE STREAMICE_CG_MAKE_A( myThid ) |
| 194 |
C /============================================================\ |
| 195 |
C | SUBROUTINE | |
| 196 |
C | o | |
| 197 |
C |============================================================| |
| 198 |
C | | |
| 199 |
C \============================================================/ |
| 200 |
IMPLICIT NONE |
| 201 |
|
| 202 |
C === Global variables === |
| 203 |
#include "SIZE.h" |
| 204 |
#include "EEPARAMS.h" |
| 205 |
#include "PARAMS.h" |
| 206 |
#include "GRID.h" |
| 207 |
#include "STREAMICE.h" |
| 208 |
#include "STREAMICE_CG.h" |
| 209 |
|
| 210 |
C !INPUT/OUTPUT ARGUMENTS |
| 211 |
C uret, vret - result of matrix operating on u, v |
| 212 |
C is, ie, js, je - starting and ending cells |
| 213 |
INTEGER myThid |
| 214 |
|
| 215 |
#ifdef ALLOW_STREAMICE |
| 216 |
|
| 217 |
#ifdef STREAMICE_CONSTRUCT_MATRIX |
| 218 |
|
| 219 |
C the linear action of the matrix on (u,v) with triangular finite elements |
| 220 |
C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
| 221 |
C but this may change pursuant to conversations with others |
| 222 |
C |
| 223 |
C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
| 224 |
C in order to make less frequent halo updates |
| 225 |
C isym = 1 if grid is symmetric, 0 o.w. |
| 226 |
|
| 227 |
C the linear action of the matrix on (u,v) with triangular finite elements |
| 228 |
C Phi has the form |
| 229 |
C Phi (i,j,k,q) - applies to cell i,j |
| 230 |
|
| 231 |
C 3 - 4 |
| 232 |
C | | |
| 233 |
C 1 - 2 |
| 234 |
|
| 235 |
C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
| 236 |
C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
| 237 |
C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
| 238 |
|
| 239 |
C !LOCAL VARIABLES: |
| 240 |
C == Local variables == |
| 241 |
INTEGER iq, jq, inodx, inody, i, j, bi, bj, ilqx, ilqy, m_i, n |
| 242 |
INTEGER jlqx, jlqy, jnodx,jnody, m_j, col_y, col_x, cg_halo, k |
| 243 |
INTEGER colx_rev, coly_rev |
| 244 |
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy, tmpval |
| 245 |
_RL phival(2,2) |
| 246 |
|
| 247 |
! do i=1,3 |
| 248 |
! do j=0,2 |
| 249 |
! col_index_a = i + j*3 |
| 250 |
! enddo |
| 251 |
! enddo |
| 252 |
|
| 253 |
cg_halo = min(OLx-1,OLy-1) |
| 254 |
|
| 255 |
DO j = 1-cg_halo, sNy+cg_halo |
| 256 |
DO i = 1-cg_halo, sNx+cg_halo |
| 257 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 258 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 259 |
cc DO k=1,4 |
| 260 |
DO col_x=-1,1 |
| 261 |
DO col_y=-1,1 |
| 262 |
streamice_cg_A1(i,j,bi,bj,col_x,col_y)=0.0 |
| 263 |
streamice_cg_A2(i,j,bi,bj,col_x,col_y)=0.0 |
| 264 |
streamice_cg_A3(i,j,bi,bj,col_x,col_y)=0.0 |
| 265 |
streamice_cg_A4(i,j,bi,bj,col_x,col_y)=0.0 |
| 266 |
ENDDO |
| 267 |
ENDDO |
| 268 |
cc ENDDO |
| 269 |
ENDDO |
| 270 |
ENDDO |
| 271 |
ENDDO |
| 272 |
ENDDO |
| 273 |
|
| 274 |
c$openad xxx simple loop |
| 275 |
DO j = 1-cg_halo, sNy+cg_halo |
| 276 |
DO i = 1-cg_halo, sNx+cg_halo |
| 277 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 278 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 279 |
IF (STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) THEN |
| 280 |
DO iq=1,2 |
| 281 |
DO jq = 1,2 |
| 282 |
|
| 283 |
n = 2*(jq-1)+iq |
| 284 |
|
| 285 |
DO inodx = 1,2 |
| 286 |
DO inody = 1,2 |
| 287 |
|
| 288 |
if (STREAMICE_umask(i-1+inodx,j-1+inody,bi,bj) |
| 289 |
& .eq.1.0 .or. |
| 290 |
& streamice_vmask(i-1+inodx,j-1+inody,bi,bj).eq.1.0) |
| 291 |
& then |
| 292 |
|
| 293 |
m_i = 2*(inody-1)+inodx |
| 294 |
ilqx = 1 |
| 295 |
ilqy = 1 |
| 296 |
|
| 297 |
if (inodx.eq.iq) ilqx = 2 |
| 298 |
if (inody.eq.jq) ilqy = 2 |
| 299 |
phival(inodx,inody) = Xquad(ilqx)*Xquad(ilqy) |
| 300 |
|
| 301 |
DO jnodx = 1,2 |
| 302 |
DO jnody = 1,2 |
| 303 |
if (STREAMICE_umask(i-1+jnodx,j-1+jnody,bi,bj) |
| 304 |
& .eq.1.0 .or. |
| 305 |
& STREAMICE_vmask(i-1+jnodx,j-1+jnody,bi,bj).eq.1.0) |
| 306 |
& then |
| 307 |
|
| 308 |
m_j = 2*(jnody-1)+jnodx |
| 309 |
ilqx = 1 |
| 310 |
ilqy = 1 |
| 311 |
if (jnodx.eq.iq) ilqx = 2 |
| 312 |
if (jnody.eq.jq) ilqy = 2 |
| 313 |
|
| 314 |
! col_j = col_index_a ( |
| 315 |
! & jnodx+mod(inodx,2), |
| 316 |
! & jnody+mod(inody,2) ) |
| 317 |
|
| 318 |
col_x = mod(inodx,2)+jnodx-2 |
| 319 |
colx_rev = mod(jnodx,2)+inodx-2 |
| 320 |
col_y = mod(inody,2)+jnody-2 |
| 321 |
coly_rev = mod(jnody,2)+inody-2 |
| 322 |
c |
| 323 |
|
| 324 |
|
| 325 |
IF ( (inodx.eq.jnodx .and. inody.eq.jnody) .or. |
| 326 |
& (inodx.eq.1 .and. inody.eq.1) .or. |
| 327 |
& (jnody.eq.2 .and. inody.eq.1) .or. |
| 328 |
& (jnody.eq.2 .and. jnodx.eq.2)) THEN |
| 329 |
|
| 330 |
|
| 331 |
|
| 332 |
ux = DPhi (i,j,bi,bj,m_j,n,1) |
| 333 |
uy = DPhi (i,j,bi,bj,m_j,n,2) |
| 334 |
vx = 0 |
| 335 |
vy = 0 |
| 336 |
uq = Xquad(ilqx) * Xquad(ilqy) |
| 337 |
vq = 0 |
| 338 |
|
| 339 |
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 340 |
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 341 |
exy = .5*(uy+vx) + |
| 342 |
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 343 |
|
| 344 |
tmpval = .25 * |
| 345 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 346 |
& visc_streamice(i,j,bi,bj) * ( |
| 347 |
& DPhi(i,j,bi,bj,m_i,n,1)*(4*exx+2*eyy) + |
| 348 |
& DPhi(i,j,bi,bj,m_i,n,2)*(2*exy)) |
| 349 |
|
| 350 |
streamice_cg_A1 |
| 351 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 352 |
& mod(inody,2)+jnody-2)= |
| 353 |
& streamice_cg_A1 |
| 354 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 355 |
& mod(inody,2)+jnody-2)+tmpval |
| 356 |
|
| 357 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 358 |
streamice_cg_A1 |
| 359 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 360 |
& mod(jnody,2)+inody-2)= |
| 361 |
& streamice_cg_A1 |
| 362 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 363 |
& mod(jnody,2)+inody-2)+ |
| 364 |
& tmpval |
| 365 |
ENDIF |
| 366 |
|
| 367 |
!!! |
| 368 |
|
| 369 |
tmpval = .25 * |
| 370 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 371 |
& visc_streamice(i,j,bi,bj) * ( |
| 372 |
& DPhi(i,j,bi,bj,m_i,n,2)*(4*eyy+2*exx) + |
| 373 |
& DPhi(i,j,bi,bj,m_i,n,1)*(2*exy)) |
| 374 |
|
| 375 |
streamice_cg_A3 |
| 376 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 377 |
& mod(inody,2)+jnody-2)= |
| 378 |
& streamice_cg_A3 |
| 379 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 380 |
& mod(inody,2)+jnody-2)+tmpval |
| 381 |
|
| 382 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 383 |
streamice_cg_A2 |
| 384 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 385 |
& mod(jnody,2)+inody-2)= |
| 386 |
& streamice_cg_A2 |
| 387 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 388 |
& mod(jnody,2)+inody-2)+ |
| 389 |
& tmpval |
| 390 |
ENDIF |
| 391 |
|
| 392 |
!!! |
| 393 |
|
| 394 |
tmpval = .25 * |
| 395 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 396 |
& visc_streamice(i,j,bi,bj) * phival(inodx,inody) * |
| 397 |
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)* |
| 398 |
& exx+4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
| 399 |
|
| 400 |
streamice_cg_A1 |
| 401 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 402 |
& mod(inody,2)+jnody-2)= |
| 403 |
& streamice_cg_A1 |
| 404 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 405 |
& mod(inody,2)+jnody-2)+tmpval |
| 406 |
|
| 407 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 408 |
streamice_cg_A1 |
| 409 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 410 |
& mod(jnody,2)+inody-2)= |
| 411 |
& streamice_cg_A1 |
| 412 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 413 |
& mod(jnody,2)+inody-2)+ |
| 414 |
& tmpval |
| 415 |
ENDIF |
| 416 |
|
| 417 |
!!! |
| 418 |
|
| 419 |
tmpval = .25 * |
| 420 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 421 |
& visc_streamice(i,j,bi,bj) * phival(inodx,inody) * |
| 422 |
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)* |
| 423 |
& eyy+4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
| 424 |
|
| 425 |
streamice_cg_A3 |
| 426 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 427 |
& mod(inody,2)+jnody-2)= |
| 428 |
& streamice_cg_A3 |
| 429 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 430 |
& mod(inody,2)+jnody-2)+tmpval |
| 431 |
|
| 432 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 433 |
streamice_cg_A2 |
| 434 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 435 |
& mod(jnody,2)+inody-2)= |
| 436 |
& streamice_cg_A2 |
| 437 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 438 |
& mod(jnody,2)+inody-2)+ |
| 439 |
& tmpval |
| 440 |
ENDIF |
| 441 |
|
| 442 |
|
| 443 |
!!! |
| 444 |
|
| 445 |
tmpval = .25*phival(inodx,inody) * |
| 446 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 447 |
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
| 448 |
|
| 449 |
streamice_cg_A1 |
| 450 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 451 |
& mod(inody,2)+jnody-2)= |
| 452 |
& streamice_cg_A1 |
| 453 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 454 |
& mod(inody,2)+jnody-2)+tmpval |
| 455 |
|
| 456 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 457 |
streamice_cg_A1 |
| 458 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 459 |
& mod(jnody,2)+inody-2)= |
| 460 |
& streamice_cg_A1 |
| 461 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 462 |
& mod(jnody,2)+inody-2)+ |
| 463 |
& tmpval |
| 464 |
ENDIF |
| 465 |
|
| 466 |
|
| 467 |
!!! |
| 468 |
tmpval = .25*phival(inodx,inody) * |
| 469 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 470 |
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 471 |
|
| 472 |
streamice_cg_A3 |
| 473 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 474 |
& mod(inody,2)+jnody-2)= |
| 475 |
& streamice_cg_A3 |
| 476 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 477 |
& mod(inody,2)+jnody-2)+tmpval |
| 478 |
|
| 479 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 480 |
streamice_cg_A2 |
| 481 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 482 |
& mod(jnody,2)+inody-2)= |
| 483 |
& streamice_cg_A2 |
| 484 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 485 |
& mod(jnody,2)+inody-2)+ |
| 486 |
& tmpval |
| 487 |
ENDIF |
| 488 |
|
| 489 |
|
| 490 |
|
| 491 |
!!! |
| 492 |
|
| 493 |
vx = DPhi (i,j,bi,bj,m_j,n,1) |
| 494 |
vy = DPhi (i,j,bi,bj,m_j,n,2) |
| 495 |
ux = 0 |
| 496 |
uy = 0 |
| 497 |
vq = Xquad(ilqx) * Xquad(ilqy) |
| 498 |
uq = 0 |
| 499 |
|
| 500 |
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 501 |
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 502 |
exy = .5*(uy+vx) + |
| 503 |
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 504 |
|
| 505 |
tmpval = .25 * |
| 506 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 507 |
& visc_streamice(i,j,bi,bj) * ( |
| 508 |
& DPhi(i,j,bi,bj,m_i,n,1)*(4*exx+2*eyy) + |
| 509 |
& DPhi(i,j,bi,bj,m_i,n,2)*(2*exy)) |
| 510 |
|
| 511 |
streamice_cg_A2 |
| 512 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 513 |
& mod(inody,2)+jnody-2)= |
| 514 |
& streamice_cg_A2 |
| 515 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 516 |
& mod(inody,2)+jnody-2)+tmpval |
| 517 |
|
| 518 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 519 |
streamice_cg_A3 |
| 520 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 521 |
& mod(jnody,2)+inody-2)= |
| 522 |
& streamice_cg_A3 |
| 523 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 524 |
& mod(jnody,2)+inody-2)+ |
| 525 |
& tmpval |
| 526 |
ENDIF |
| 527 |
|
| 528 |
|
| 529 |
tmpval = .25 * |
| 530 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 531 |
& visc_streamice(i,j,bi,bj) * ( |
| 532 |
& DPhi(i,j,bi,bj,m_i,n,2)*(4*eyy+2*exx) + |
| 533 |
& DPhi(i,j,bi,bj,m_i,n,1)*(2*exy)) |
| 534 |
|
| 535 |
streamice_cg_A4 |
| 536 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 537 |
& mod(inody,2)+jnody-2)= |
| 538 |
& streamice_cg_A4 |
| 539 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 540 |
& mod(inody,2)+jnody-2)+tmpval |
| 541 |
|
| 542 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 543 |
streamice_cg_A4 |
| 544 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 545 |
& mod(jnody,2)+inody-2)= |
| 546 |
& streamice_cg_A4 |
| 547 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 548 |
& mod(jnody,2)+inody-2)+ |
| 549 |
& tmpval |
| 550 |
ENDIF |
| 551 |
|
| 552 |
|
| 553 |
tmpval = .25 * |
| 554 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 555 |
& visc_streamice(i,j,bi,bj) * phival(inodx,inody) * |
| 556 |
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)* |
| 557 |
& exx+4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
| 558 |
|
| 559 |
streamice_cg_A2 |
| 560 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 561 |
& mod(inody,2)+jnody-2)= |
| 562 |
& streamice_cg_A2 |
| 563 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 564 |
& mod(inody,2)+jnody-2)+tmpval |
| 565 |
|
| 566 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 567 |
streamice_cg_A3 |
| 568 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 569 |
& mod(jnody,2)+inody-2)= |
| 570 |
& streamice_cg_A3 |
| 571 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 572 |
& mod(jnody,2)+inody-2)+ |
| 573 |
& tmpval |
| 574 |
ENDIF |
| 575 |
|
| 576 |
|
| 577 |
tmpval = .25 * |
| 578 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 579 |
& visc_streamice(i,j,bi,bj) * phival(inodx,inody) * |
| 580 |
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)* |
| 581 |
& eyy+4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
| 582 |
|
| 583 |
streamice_cg_A4 |
| 584 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 585 |
& mod(inody,2)+jnody-2)= |
| 586 |
& streamice_cg_A4 |
| 587 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 588 |
& mod(inody,2)+jnody-2)+tmpval |
| 589 |
|
| 590 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 591 |
streamice_cg_A4 |
| 592 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 593 |
& mod(jnody,2)+inody-2)= |
| 594 |
& streamice_cg_A4 |
| 595 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 596 |
& mod(jnody,2)+inody-2)+ |
| 597 |
& tmpval |
| 598 |
ENDIF |
| 599 |
|
| 600 |
|
| 601 |
tmpval = .25*phival(inodx,inody) * |
| 602 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 603 |
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
| 604 |
|
| 605 |
streamice_cg_A2 |
| 606 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 607 |
& mod(inody,2)+jnody-2)= |
| 608 |
& streamice_cg_A2 |
| 609 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 610 |
& mod(inody,2)+jnody-2)+tmpval |
| 611 |
|
| 612 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 613 |
streamice_cg_A3 |
| 614 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 615 |
& mod(jnody,2)+inody-2)= |
| 616 |
& streamice_cg_A3 |
| 617 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 618 |
& mod(jnody,2)+inody-2)+ |
| 619 |
& tmpval |
| 620 |
ENDIF |
| 621 |
|
| 622 |
|
| 623 |
tmpval = .25*phival(inodx,inody) * |
| 624 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 625 |
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 626 |
|
| 627 |
streamice_cg_A4 |
| 628 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 629 |
& mod(inody,2)+jnody-2)= |
| 630 |
& streamice_cg_A4 |
| 631 |
& (i-1+inodx,j-1+inody,bi,bj,mod(inodx,2)+jnodx-2, |
| 632 |
& mod(inody,2)+jnody-2)+tmpval |
| 633 |
|
| 634 |
IF (.not. (inodx.eq.jnodx .and. inody.eq.jnody)) THEN |
| 635 |
streamice_cg_A4 |
| 636 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 637 |
& mod(jnody,2)+inody-2)= |
| 638 |
& streamice_cg_A4 |
| 639 |
& (i-1+jnodx,j-1+jnody,bi,bj,mod(jnodx,2)+inodx-2, |
| 640 |
& mod(jnody,2)+inody-2)+ |
| 641 |
& tmpval |
| 642 |
ENDIF |
| 643 |
|
| 644 |
|
| 645 |
endif |
| 646 |
endif |
| 647 |
enddo |
| 648 |
enddo |
| 649 |
endif |
| 650 |
enddo |
| 651 |
enddo |
| 652 |
enddo |
| 653 |
enddo |
| 654 |
endif |
| 655 |
enddo |
| 656 |
enddo |
| 657 |
enddo |
| 658 |
enddo |
| 659 |
|
| 660 |
|
| 661 |
|
| 662 |
#endif |
| 663 |
#endif |
| 664 |
RETURN |
| 665 |
END SUBROUTINE |
| 666 |
! END MAKE_A |
| 667 |
|
| 668 |
SUBROUTINE STREAMICE_CG_ADIAG( myThid, |
| 669 |
O uret, |
| 670 |
O vret) |
| 671 |
|
| 672 |
C /============================================================\ |
| 673 |
C | SUBROUTINE | |
| 674 |
C | o | |
| 675 |
C |============================================================| |
| 676 |
C | | |
| 677 |
C \============================================================/ |
| 678 |
IMPLICIT NONE |
| 679 |
|
| 680 |
C === Global variables === |
| 681 |
#include "SIZE.h" |
| 682 |
#include "EEPARAMS.h" |
| 683 |
#include "PARAMS.h" |
| 684 |
#include "GRID.h" |
| 685 |
#include "STREAMICE.h" |
| 686 |
#include "STREAMICE_CG.h" |
| 687 |
|
| 688 |
C !INPUT/OUTPUT ARGUMENTS |
| 689 |
C uret, vret - result of matrix operating on u, v |
| 690 |
C is, ie, js, je - starting and ending cells |
| 691 |
INTEGER myThid |
| 692 |
_RL uret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 693 |
_RL vret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 694 |
|
| 695 |
|
| 696 |
#ifdef ALLOW_STREAMICE |
| 697 |
|
| 698 |
C the linear action of the matrix on (u,v) with triangular finite elements |
| 699 |
C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
| 700 |
C but this may change pursuant to conversations with others |
| 701 |
C |
| 702 |
C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
| 703 |
C in order to make less frequent halo updates |
| 704 |
C isym = 1 if grid is symmetric, 0 o.w. |
| 705 |
|
| 706 |
C the linear action of the matrix on (u,v) with triangular finite elements |
| 707 |
C Phi has the form |
| 708 |
C Phi (i,j,k,q) - applies to cell i,j |
| 709 |
|
| 710 |
C 3 - 4 |
| 711 |
C | | |
| 712 |
C 1 - 2 |
| 713 |
|
| 714 |
C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
| 715 |
C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
| 716 |
C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
| 717 |
|
| 718 |
C !LOCAL VARIABLES: |
| 719 |
C == Local variables == |
| 720 |
INTEGER iq, jq, inode, jnode, i, j, bi, bj, ilq, jlq, m, n |
| 721 |
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy |
| 722 |
_RL Ucell (2,2) |
| 723 |
_RL Vcell (2,2) |
| 724 |
_RL Hcell (2,2) |
| 725 |
_RL phival(2,2) |
| 726 |
|
| 727 |
uret(1,1,1,1) = uret(1,1,1,1) |
| 728 |
vret(1,1,1,1) = vret(1,1,1,1) |
| 729 |
|
| 730 |
DO j = 0, sNy+1 |
| 731 |
DO i = 0, sNx+1 |
| 732 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 733 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 734 |
IF (STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) THEN |
| 735 |
DO iq=1,2 |
| 736 |
DO jq = 1,2 |
| 737 |
|
| 738 |
n = 2*(jq-1)+iq |
| 739 |
|
| 740 |
DO inode = 1,2 |
| 741 |
DO jnode = 1,2 |
| 742 |
|
| 743 |
m = 2*(jnode-1)+inode |
| 744 |
|
| 745 |
if (STREAMICE_umask(i-1+inode,j-1+jnode,bi,bj).eq.1.0 .or. |
| 746 |
& STREAMICE_vmask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) |
| 747 |
& then |
| 748 |
|
| 749 |
ilq = 1 |
| 750 |
jlq = 1 |
| 751 |
|
| 752 |
if (inode.eq.iq) ilq = 2 |
| 753 |
if (jnode.eq.jq) jlq = 2 |
| 754 |
phival(inode,jnode) = Xquad(ilq)*Xquad(jlq) |
| 755 |
|
| 756 |
ux = DPhi (i,j,bi,bj,m,n,1) |
| 757 |
uy = DPhi (i,j,bi,bj,m,n,2) |
| 758 |
vx = 0 |
| 759 |
vy = 0 |
| 760 |
uq = Xquad(ilq) * Xquad(jlq) |
| 761 |
vq = 0 |
| 762 |
|
| 763 |
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 764 |
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 765 |
exy = .5*(uy+vx) + |
| 766 |
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 767 |
|
| 768 |
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 769 |
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 770 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 771 |
& visc_streamice(i,j,bi,bj) * ( |
| 772 |
& DPhi(i,j,bi,bj,m,n,1)*(4*exx+2*eyy) + |
| 773 |
& DPhi(i,j,bi,bj,m,n,2)*(2*exy)) |
| 774 |
|
| 775 |
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 776 |
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 777 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 778 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
| 779 |
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)*exx+ |
| 780 |
& 4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
| 781 |
|
| 782 |
|
| 783 |
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 784 |
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 785 |
& phival(inode,jnode) * grid_jacq_streamice(i,j,bi,bj,n) * |
| 786 |
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
| 787 |
|
| 788 |
|
| 789 |
vx = DPhi (i,j,bi,bj,m,n,1) |
| 790 |
vy = DPhi (i,j,bi,bj,m,n,2) |
| 791 |
ux = 0 |
| 792 |
uy = 0 |
| 793 |
vq = Xquad(ilq) * Xquad(jlq) |
| 794 |
uq = 0 |
| 795 |
|
| 796 |
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 797 |
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 798 |
exy = .5*(uy+vx) + |
| 799 |
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 800 |
|
| 801 |
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 802 |
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 803 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 804 |
& visc_streamice(i,j,bi,bj) * ( |
| 805 |
& DPhi(i,j,bi,bj,m,n,2)*(4*eyy+2*exx) + |
| 806 |
& DPhi(i,j,bi,bj,m,n,1)*(2*exy)) |
| 807 |
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 808 |
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 809 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 810 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
| 811 |
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)*eyy+ |
| 812 |
& 4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
| 813 |
|
| 814 |
|
| 815 |
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 816 |
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 817 |
& phival(inode,jnode) * grid_jacq_streamice(i,j,bi,bj,n) * |
| 818 |
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 819 |
|
| 820 |
endif |
| 821 |
|
| 822 |
enddo |
| 823 |
enddo |
| 824 |
enddo |
| 825 |
enddo |
| 826 |
endif |
| 827 |
enddo |
| 828 |
enddo |
| 829 |
enddo |
| 830 |
enddo |
| 831 |
|
| 832 |
#endif |
| 833 |
RETURN |
| 834 |
END SUBROUTINE |
| 835 |
|
| 836 |
|
| 837 |
|
| 838 |
SUBROUTINE STREAMICE_CG_BOUND_VALS( myThid, |
| 839 |
O uret, |
| 840 |
O vret) |
| 841 |
C /============================================================\ |
| 842 |
C | SUBROUTINE | |
| 843 |
C | o | |
| 844 |
C |============================================================| |
| 845 |
C | | |
| 846 |
C \============================================================/ |
| 847 |
IMPLICIT NONE |
| 848 |
|
| 849 |
C === Global variables === |
| 850 |
#include "SIZE.h" |
| 851 |
#include "EEPARAMS.h" |
| 852 |
#include "PARAMS.h" |
| 853 |
#include "GRID.h" |
| 854 |
#include "STREAMICE.h" |
| 855 |
#include "STREAMICE_CG.h" |
| 856 |
|
| 857 |
C !INPUT/OUTPUT ARGUMENTS |
| 858 |
C uret, vret - result of matrix operating on u, v |
| 859 |
C is, ie, js, je - starting and ending cells |
| 860 |
INTEGER myThid |
| 861 |
_RL uret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 862 |
_RL vret (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 863 |
|
| 864 |
#ifdef ALLOW_STREAMICE |
| 865 |
|
| 866 |
C the linear action of the matrix on (u,v) with triangular finite elements |
| 867 |
C as of now everything is passed in so no grid pointers or anything of the sort have to be dereferenced, |
| 868 |
C but this may change pursuant to conversations with others |
| 869 |
C |
| 870 |
C is & ie are the cells over which the iteration is done; this may change between calls to this subroutine |
| 871 |
C in order to make less frequent halo updates |
| 872 |
C isym = 1 if grid is symmetric, 0 o.w. |
| 873 |
|
| 874 |
C the linear action of the matrix on (u,v) with triangular finite elements |
| 875 |
C Phi has the form |
| 876 |
C Phi (i,j,k,q) - applies to cell i,j |
| 877 |
|
| 878 |
C 3 - 4 |
| 879 |
C | | |
| 880 |
C 1 - 2 |
| 881 |
|
| 882 |
C Phi (i,j,2*k-1,q) gives d(Phi_k)/dx at quadrature point q |
| 883 |
C Phi (i,j,2*k,q) gives d(Phi_k)/dy at quadrature point q |
| 884 |
C Phi_k is equal to 1 at vertex k, and 0 at vertex l .ne. k, and bilinear |
| 885 |
|
| 886 |
C !LOCAL VARIABLES: |
| 887 |
C == Local variables == |
| 888 |
INTEGER iq, jq, inode, jnode, i, j, bi, bj, ilq, jlq, m, n |
| 889 |
_RL ux, vx, uy, vy, uq, vq, exx, eyy, exy |
| 890 |
_RL Ucell (2,2) |
| 891 |
_RL Vcell (2,2) |
| 892 |
_RL Hcell (2,2) |
| 893 |
_RL phival(2,2) |
| 894 |
|
| 895 |
uret(1,1,1,1) = uret(1,1,1,1) |
| 896 |
vret(1,1,1,1) = vret(1,1,1,1) |
| 897 |
|
| 898 |
DO j = 0, sNy+1 |
| 899 |
DO i = 0, sNx+1 |
| 900 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 901 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 902 |
IF ((STREAMICE_hmask (i,j,bi,bj) .eq. 1.0) .AND. |
| 903 |
& ((STREAMICE_umask(i,j,bi,bj).eq.3.0) .OR. |
| 904 |
& (STREAMICE_umask(i,j+1,bi,bj).eq.3.0) .OR. |
| 905 |
& (STREAMICE_umask(i+1,j,bi,bj).eq.3.0) .OR. |
| 906 |
& (STREAMICE_umask(i+1,j+1,bi,bj).eq.3.0) .OR. |
| 907 |
& (STREAMICE_vmask(i,j,bi,bj).eq.3.0) .OR. |
| 908 |
& (STREAMICE_vmask(i,j+1,bi,bj).eq.3.0) .OR. |
| 909 |
& (STREAMICE_vmask(i+1,j,bi,bj).eq.3.0) .OR. |
| 910 |
& (STREAMICE_vmask(i+1,j+1,bi,bj).eq.3.0))) THEN |
| 911 |
|
| 912 |
DO iq=1,2 |
| 913 |
DO jq = 1,2 |
| 914 |
|
| 915 |
n = 2*(jq-1)+iq |
| 916 |
|
| 917 |
uq = u_bdry_values_SI(i,j,bi,bj)*Xquad(3-iq)*Xquad(3-jq)+ |
| 918 |
& u_bdry_values_SI(i+1,j,bi,bj)*Xquad(iq)*Xquad(3-jq)+ |
| 919 |
& u_bdry_values_SI(i,j+1,bi,bj)*Xquad(3-iq)*Xquad(jq)+ |
| 920 |
& u_bdry_values_SI(i+1,j+1,bi,bj)*Xquad(iq)*Xquad(jq) |
| 921 |
vq = v_bdry_values_SI(i,j,bi,bj)*Xquad(3-iq)*Xquad(3-jq)+ |
| 922 |
& v_bdry_values_SI(i+1,j,bi,bj)*Xquad(iq)*Xquad(3-jq)+ |
| 923 |
& v_bdry_values_SI(i,j+1,bi,bj)*Xquad(3-iq)*Xquad(jq)+ |
| 924 |
& v_bdry_values_SI(i+1,j+1,bi,bj)*Xquad(iq)*Xquad(jq) |
| 925 |
ux = u_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
| 926 |
& u_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,1) + |
| 927 |
& u_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,1) + |
| 928 |
& u_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,1) |
| 929 |
uy = u_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,2) + |
| 930 |
& u_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,2) + |
| 931 |
& u_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,2) + |
| 932 |
& u_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,2) |
| 933 |
vx = v_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,1) + |
| 934 |
& v_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,1) + |
| 935 |
& v_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,1) + |
| 936 |
& v_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,1) |
| 937 |
vy = v_bdry_values_SI(i,j,bi,bj) * DPhi(i,j,bi,bj,1,n,2) + |
| 938 |
& v_bdry_values_SI(i+1,j,bi,bj) * DPhi(i,j,bi,bj,2,n,2) + |
| 939 |
& v_bdry_values_SI(i,j+1,bi,bj) * DPhi(i,j,bi,bj,3,n,2) + |
| 940 |
& v_bdry_values_SI(i+1,j+1,bi,bj) * DPhi(i,j,bi,bj,4,n,2) |
| 941 |
exx = ux + k1AtC_str(i,j,bi,bj)*vq |
| 942 |
eyy = vy + k2AtC_str(i,j,bi,bj)*uq |
| 943 |
exy = .5*(uy+vx) + |
| 944 |
& k1AtC_str(i,j,bi,bj)*uq + k2AtC_str(i,j,bi,bj)*vq |
| 945 |
|
| 946 |
|
| 947 |
do inode = 1,2 |
| 948 |
do jnode = 1,2 |
| 949 |
|
| 950 |
m = 2*(jnode-1)+inode |
| 951 |
ilq = 1 |
| 952 |
jlq = 1 |
| 953 |
if (inode.eq.iq) ilq = 2 |
| 954 |
if (jnode.eq.jq) jlq = 2 |
| 955 |
phival(inode,jnode) = Xquad(ilq)*Xquad(jlq) |
| 956 |
|
| 957 |
if (STREAMICE_umask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
| 958 |
|
| 959 |
|
| 960 |
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 961 |
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 962 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 963 |
& visc_streamice(i,j,bi,bj) * ( |
| 964 |
& DPhi(i,j,bi,bj,m,n,1)*(4*exx+2*eyy) + |
| 965 |
& DPhi(i,j,bi,bj,m,n,2)*(2*exy)) |
| 966 |
|
| 967 |
|
| 968 |
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 969 |
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 970 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 971 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
| 972 |
& (4*k2AtC_str(i,j,bi,bj)*eyy+2*k2AtC_str(i,j,bi,bj)*exx+ |
| 973 |
& 4*0.5*k1AtC_str(i,j,bi,bj)*exy) |
| 974 |
|
| 975 |
|
| 976 |
! if (STREAMICE_float_cond(i,j,bi,bj) .eq. 1) then |
| 977 |
uret(i-1+inode,j-1+jnode,bi,bj) = |
| 978 |
& uret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 979 |
& phival(inode,jnode) * grid_jacq_streamice(i,j,bi,bj,n) * |
| 980 |
& tau_beta_eff_streamice (i,j,bi,bj) * uq |
| 981 |
|
| 982 |
|
| 983 |
! endif |
| 984 |
endif |
| 985 |
if (STREAMICE_vmask(i-1+inode,j-1+jnode,bi,bj).eq.1.0) then |
| 986 |
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 987 |
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 988 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 989 |
& visc_streamice(i,j,bi,bj) * ( |
| 990 |
& DPhi(i,j,bi,bj,m,n,2)*(4*eyy+2*exx) + |
| 991 |
& DPhi(i,j,bi,bj,m,n,1)*(2*exy)) |
| 992 |
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 993 |
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 994 |
& grid_jacq_streamice(i,j,bi,bj,n) * |
| 995 |
& visc_streamice(i,j,bi,bj) * phival(inode,jnode) * |
| 996 |
& (4*k1AtC_str(i,j,bi,bj)*exx+2*k1AtC_str(i,j,bi,bj)*eyy+ |
| 997 |
& 4*0.5*k2AtC_str(i,j,bi,bj)*exy) |
| 998 |
vret(i-1+inode,j-1+jnode,bi,bj) = |
| 999 |
& vret(i-1+inode,j-1+jnode,bi,bj) + .25 * |
| 1000 |
& phival(inode,jnode) * grid_jacq_streamice(i,j,bi,bj,n) * |
| 1001 |
& tau_beta_eff_streamice (i,j,bi,bj) * vq |
| 1002 |
endif |
| 1003 |
enddo |
| 1004 |
enddo |
| 1005 |
enddo |
| 1006 |
enddo |
| 1007 |
endif |
| 1008 |
enddo |
| 1009 |
enddo |
| 1010 |
enddo |
| 1011 |
enddo |
| 1012 |
|
| 1013 |
#endif |
| 1014 |
RETURN |
| 1015 |
END SUBROUTINE |
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