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heimbach |
1.1 |
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_SOLVE( |
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U cg_Uin, |
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U cg_Vin, |
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I cg_Bu, |
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I cg_Bv, |
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I tolerance, |
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heimbach |
1.2 |
O iters, |
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I myThid ) |
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heimbach |
1.1 |
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 "STREAMICE.h" |
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#include "STREAMICE_CG.h" |
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C !INPUT/OUTPUT ARGUMENTS |
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C cg_Uin, cg_Vin - input and output velocities |
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C cg_Bu, cg_Bv - driving stress |
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INTEGER myThid |
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INTEGER iters |
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_RL tolerance |
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_RL cg_Uin (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg_Vin (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg_Bu (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg_Bv (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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C LOCAL VARIABLES |
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INTEGER i, j, bi, bj, cg_halo, conv_flag |
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INTEGER iter, is, js, ie, je, colx, coly, k |
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_RL dot_p1, dot_p2, resid_0, alpha_k, beta_k, resid |
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_RL dot_p1_tile (nSx,nSy) |
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_RL dot_p2_tile (nSx,nSy) |
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iters = streamice_max_cg_iter |
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#ifdef ALLOW_STREAMICE |
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conv_flag = 0 |
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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,sNy |
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DO i=1,sNx |
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Zu_SI (i,j,bi,bj) = 0. _d 0 |
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Zv_SI (i,j,bi,bj) = 0. _d 0 |
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DIAGu_SI (i,j,bi,bj) = 0. _d 0 |
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DIAGv_SI (i,j,bi,bj) = 0. _d 0 |
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Ru_SI (i,j,bi,bj) = 0. _d 0 |
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Rv_SI (i,j,bi,bj) = 0. _d 0 |
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Au_SI (i,j,bi,bj) = 0. _d 0 |
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Av_SI (i,j,bi,bj) = 0. _d 0 |
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Du_SI (i,j,bi,bj) = 0. _d 0 |
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Dv_SI (i,j,bi,bj) = 0. _d 0 |
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ubd_SI (i,j,bi,bj) = 0. _d 0 |
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vbd_SI (i,j,bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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C PREAMBLE: get bdry contribution, find matrix diagonal, |
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C initialize iterates R (residual), Z, and D |
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CALL STREAMICE_CG_BOUND_VALS( myThid, |
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O ubd_SI, |
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O vbd_SI) |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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RHSu_SI (i,j,bi,bj) = cg_Bu(i,j,bi,bj) |
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& - ubd_SI(i,j,bi,bj) |
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RHSv_SI (i,j,bi,bj) = cg_Bv(i,j,bi,bj) |
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& - vbd_SI(i,j,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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_EXCH_XY_RL( RHSu_SI, myThid ) |
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_EXCH_XY_RL( RHSv_SI, myThid ) |
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CALL STREAMICE_CG_ADIAG( myThid, |
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O DIAGu_SI, |
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O DIAGv_SI) |
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_EXCH_XY_RL( DIAGu_SI, myThid ) |
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_EXCH_XY_RL( DIAGv_SI, myThid ) |
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C FIX PROBLEM WITH PRECOND LATER |
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! DO bj = myByLo(myThid), myByHi(myThid) |
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! DO bi = myBxLo(myThid), myBxHi(myThid) |
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! DO j=1-OLy,sNy+OLy |
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! DO i=1-OLx,sNx+OLx |
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! DIAGu_SI(i,j,bi,bj)=1.0 |
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! DIAGv_SI(i,j,bi,bj)=1.0 |
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! ENDDO |
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! ENDDO |
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! ENDDO |
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! ENDDO |
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CALL STREAMICE_CG_ACTION( myThid, |
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O Au_SI, |
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O Av_SI, |
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I cg_Uin, |
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I cg_Vin, |
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I 0, sNx+1, 0, sNy+1 ) |
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_EXCH_XY_RL( Au_SI, myThid ) |
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_EXCH_XY_RL( Av_SI, myThid ) |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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Ru_SI(i,j,bi,bj)=RHSu_SI(i,j,bi,bj)- |
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& Au_SI(i,j,bi,bj) |
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Rv_SI(i,j,bi,bj)=RHSv_SI(i,j,bi,bj)- |
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& Av_SI(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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dot_p1_tile(bi,bj) = 0. _d 0 |
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dot_p2_tile(bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
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& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Ru_SI(i,j,bi,bj)**2 |
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
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& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Rv_SI(i,j,bi,bj)**2 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
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resid_0 = sqrt(dot_p1) |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
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& Zu_SI(i,j,bi,bj)=Ru_SI(i,j,bi,bj) / DIAGu_SI(i,j,bi,bj) |
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
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& Zv_SI(i,j,bi,bj)=Rv_SI(i,j,bi,bj) / DIAGv_SI(i,j,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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cg_halo = min(OLx-1,OLy-1) |
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conv_flag = 0 |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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Du_SI(i,j,bi,bj)=Zu_SI(i,j,bi,bj) |
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Dv_SI(i,j,bi,bj)=Zv_SI(i,j,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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resid = resid_0 |
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iters = 0 |
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c !!!!!!!!!!!!!!!!!! |
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c !! !! |
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c !! MAIN CG LOOP !! |
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c !! !! |
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c !!!!!!!!!!!!!!!!!! |
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c ! initially, b-grid data is valid up to 3 halo nodes out -- right? (check for MITgcm!!) |
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print *, "BEGINNING MAIN CG LOOP" |
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IF(STREAMICE_construct_matrix) CALL STREAMICE_CG_MAKE_A(myThid) |
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do iter = 1, streamice_max_cg_iter |
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if (resid .gt. tolerance*resid_0) then |
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c to avoid using "exit" |
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iters = iters + 1 |
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is = 1 - cg_halo |
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ie = sNx + cg_halo |
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js = 1 - cg_halo |
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je = sNy + 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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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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Au_SI(i,j,bi,bj) = 0. _d 0 |
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Av_SI(i,j,bi,bj) = 0. _d 0 |
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! Du_SI(i,j,bi,bj) = Real(i) |
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! Dv_SI(i,j,bi,bj) = 0.0 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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IF (STREAMICE_construct_matrix) THEN |
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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=js,je |
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DO i=is,ie |
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DO colx=-1,1 |
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DO coly=-1,1 |
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Au_SI(i,j,bi,bj) = Au_SI(i,j,bi,bj) + |
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& streamice_cg_A1(i,j,bi,bj,colx,coly)* |
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& Du_SI(i+colx,j+coly,bi,bj)+ |
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& streamice_cg_A2(i,j,bi,bj,colx,coly)* |
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& Dv_SI(i+colx,j+coly,bi,bj) |
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Av_SI(i,j,bi,bj) = Av_SI(i,j,bi,bj) + |
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& streamice_cg_A3(i,j,bi,bj,colx,coly)* |
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& Du_SI(i+colx,j+coly,bi,bj)+ |
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& streamice_cg_A4(i,j,bi,bj,colx,coly)* |
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& Dv_SI(i+colx,j+coly,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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ENDDO |
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else |
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CALL STREAMICE_CG_ACTION( myThid, |
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O Au_SI, |
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O Av_SI, |
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I Du_SI, |
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I Dv_SI, |
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I is,ie,js,je) |
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ENDIF |
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! ! if (iter.eq.1) then |
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! ! CALL WRITE_FLD_XY_RL ("Au2","",Au_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL ("Av2","",Av_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL ("Du","",Du_SI,0,myThid) |
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! ! |
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! ! CALL WRITE_FLD_XY_RL("Dv","",Au_SI,0,myThid) |
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! ! |
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! ! CALL WRITE_FLD_XY_RL("DiagU1","",Diagu_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL("DiagV1","",Diagv_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL("DiagU2","", |
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! ! & streamice_cg_A1(i,j,bi,bj,0,0),0,myThid) |
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! ! CALL WRITE_FLD_XY_RL("DiagV2","", |
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! ! & streamice_cg_A4(i,j,bi,bj,0,0),0,myThid) |
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! ! CALL WRITE_FLD_XY_RL("DiagV2","",Diagv_SI,0,myThid) |
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! ! |
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! ! endif |
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! ! if (iter.eq.1) then |
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! ! CALL WRITE_FLD_XY_RL ("Au1","",Au_SI,0,myThid) |
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! ! CALL WRITE_FLD_XY_RL ("Av1","",Av_SI,0,myThid) |
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! ! |
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! ! endif |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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dot_p1_tile(bi,bj) = 0. _d 0 |
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dot_p2_tile(bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
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dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zu_SI(i,j,bi,bj)* |
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& Ru_SI(i,j,bi,bj) |
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dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Du_SI(i,j,bi,bj)* |
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& Au_SI(i,j,bi,bj) |
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ENDIF |
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
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dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zv_SI(i,j,bi,bj)* |
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& Rv_SI(i,j,bi,bj) |
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dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Dv_SI(i,j,bi,bj)* |
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& Av_SI(i,j,bi,bj) |
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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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CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
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CALL GLOBAL_SUM_TILE_RL( dot_p2_tile, dot_p2, myThid ) |
| 323 |
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alpha_k = dot_p1/dot_p2 |
| 324 |
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| 325 |
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DO bj = myByLo(myThid), myByHi(myThid) |
| 326 |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
| 327 |
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DO j=1-OLy,sNy+OLy |
| 328 |
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DO i=1-OLx,sNx+OLx |
| 329 |
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| 330 |
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IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
| 331 |
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cg_Uin(i,j,bi,bj)=cg_Uin(i,j,bi,bj)+ |
| 332 |
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& alpha_k*Du_SI(i,j,bi,bj) |
| 333 |
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Ru_old_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj) |
| 334 |
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Zu_old_SI(i,j,bi,bj) = Zu_SI(i,j,bi,bj) |
| 335 |
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Ru_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj)- |
| 336 |
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& alpha_k*Au_SI(i,j,bi,bj) |
| 337 |
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Zu_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj) / |
| 338 |
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& DIAGu_SI(i,j,bi,bj) |
| 339 |
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ENDIF |
| 340 |
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| 341 |
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
| 342 |
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cg_Vin(i,j,bi,bj)=cg_Vin(i,j,bi,bj)+ |
| 343 |
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& alpha_k*Dv_SI(i,j,bi,bj) |
| 344 |
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Rv_old_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj) |
| 345 |
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Zv_old_SI(i,j,bi,bj) = Zv_SI(i,j,bi,bj) |
| 346 |
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Rv_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj)- |
| 347 |
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& alpha_k*Av_SI(i,j,bi,bj) |
| 348 |
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Zv_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj) / |
| 349 |
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& DIAGv_SI(i,j,bi,bj) |
| 350 |
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| 351 |
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ENDIF |
| 352 |
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ENDDO |
| 353 |
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ENDDO |
| 354 |
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ENDDO |
| 355 |
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ENDDO |
| 356 |
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| 357 |
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DO bj = myByLo(myThid), myByHi(myThid) |
| 358 |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
| 359 |
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dot_p1_tile(bi,bj) = 0. _d 0 |
| 360 |
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dot_p2_tile(bi,bj) = 0. _d 0 |
| 361 |
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ENDDO |
| 362 |
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ENDDO |
| 363 |
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| 364 |
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DO bj = myByLo(myThid), myByHi(myThid) |
| 365 |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
| 366 |
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DO j=1,sNy |
| 367 |
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DO i=1,sNx |
| 368 |
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| 369 |
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IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
| 370 |
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dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zu_SI(i,j,bi,bj)* |
| 371 |
|
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& Ru_SI(i,j,bi,bj) |
| 372 |
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dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Zu_old_SI(i,j,bi,bj)* |
| 373 |
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& Ru_old_SI(i,j,bi,bj) |
| 374 |
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ENDIF |
| 375 |
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| 376 |
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
| 377 |
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dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zv_SI(i,j,bi,bj)* |
| 378 |
|
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& Rv_SI(i,j,bi,bj) |
| 379 |
|
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dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Zv_old_SI(i,j,bi,bj)* |
| 380 |
|
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& Rv_old_SI(i,j,bi,bj) |
| 381 |
|
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ENDIF |
| 382 |
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| 383 |
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ENDDO |
| 384 |
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ENDDO |
| 385 |
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ENDDO |
| 386 |
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ENDDO |
| 387 |
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| 388 |
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CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
| 389 |
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CALL GLOBAL_SUM_TILE_RL( dot_p2_tile, dot_p2, myThid ) |
| 390 |
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| 391 |
|
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beta_k = dot_p1/dot_p2 |
| 392 |
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| 393 |
|
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DO bj = myByLo(myThid), myByHi(myThid) |
| 394 |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
| 395 |
|
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DO j=1-OLy,sNy+OLy |
| 396 |
|
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DO i=1-OLx,sNx+OLx |
| 397 |
|
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IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
| 398 |
|
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& Du_SI(i,j,bi,bj)=beta_k*Du_SI(i,j,bi,bj)+ |
| 399 |
|
|
& Zu_SI(i,j,bi,bj) |
| 400 |
|
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
| 401 |
|
|
& Dv_SI(i,j,bi,bj)=beta_k*Dv_SI(i,j,bi,bj)+ |
| 402 |
|
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& Zv_SI(i,j,bi,bj) |
| 403 |
|
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ENDDO |
| 404 |
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ENDDO |
| 405 |
|
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ENDDO |
| 406 |
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ENDDO |
| 407 |
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| 408 |
|
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DO bj = myByLo(myThid), myByHi(myThid) |
| 409 |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 410 |
|
|
dot_p1_tile(bi,bj) = 0. _d 0 |
| 411 |
|
|
ENDDO |
| 412 |
|
|
ENDDO |
| 413 |
|
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|
| 414 |
|
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DO bj = myByLo(myThid), myByHi(myThid) |
| 415 |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 416 |
|
|
DO j=1,sNy |
| 417 |
|
|
DO i=1,sNx |
| 418 |
|
|
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
| 419 |
|
|
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Ru_SI(i,j,bi,bj)**2 |
| 420 |
|
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IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
| 421 |
|
|
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Rv_SI(i,j,bi,bj)**2 |
| 422 |
|
|
ENDDO |
| 423 |
|
|
ENDDO |
| 424 |
|
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ENDDO |
| 425 |
|
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ENDDO |
| 426 |
|
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|
| 427 |
|
|
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
| 428 |
|
|
resid = sqrt(dot_p1) |
| 429 |
|
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|
| 430 |
|
|
! IF (iter .eq. 1) then |
| 431 |
|
|
! print *, alpha_k, beta_k, resid |
| 432 |
|
|
! ENDIF |
| 433 |
|
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|
| 434 |
|
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cg_halo = cg_halo - 1 |
| 435 |
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|
| 436 |
|
|
if (cg_halo .eq. 0) then |
| 437 |
|
|
cg_halo = min(OLx-1,OLy-1) |
| 438 |
|
|
_EXCH_XY_RL( Du_SI, myThid ) |
| 439 |
|
|
_EXCH_XY_RL( Dv_SI, myThid ) |
| 440 |
|
|
_EXCH_XY_RL( Ru_SI, myThid ) |
| 441 |
|
|
_EXCH_XY_RL( Rv_SI, myThid ) |
| 442 |
|
|
_EXCH_XY_RL( cg_Uin, myThid ) |
| 443 |
|
|
_EXCH_XY_RL( cg_Vin, myThid ) |
| 444 |
|
|
endif |
| 445 |
|
|
|
| 446 |
|
|
endif |
| 447 |
|
|
enddo ! end of CG loop |
| 448 |
|
|
|
| 449 |
|
|
c to avoid using "exit" |
| 450 |
|
|
c if iters has reached max_iters there is no convergence |
| 451 |
|
|
|
| 452 |
|
|
IF (iters .lt. streamice_max_cg_iter) THEN |
| 453 |
|
|
conv_flag = 1 |
| 454 |
|
|
ENDIF |
| 455 |
|
|
|
| 456 |
|
|
DO bj = myByLo(myThid), myByHi(myThid) |
| 457 |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 458 |
|
|
DO j=1-OLy,sNy+OLy |
| 459 |
|
|
DO i=1-OLy,sNx+OLy |
| 460 |
|
|
IF (STREAMICE_umask(i,j,bi,bj).eq.3.0) |
| 461 |
|
|
& cg_Uin(i,j,bi,bj)=u_bdry_values_SI(i,j,bi,bj) |
| 462 |
|
|
IF (STREAMICE_vmask(i,j,bi,bj).eq.3.0) |
| 463 |
|
|
& cg_Vin(i,j,bi,bj)=v_bdry_values_SI(i,j,bi,bj) |
| 464 |
|
|
ENDDO |
| 465 |
|
|
ENDDO |
| 466 |
|
|
ENDDO |
| 467 |
|
|
ENDDO |
| 468 |
|
|
|
| 469 |
|
|
_EXCH_XY_RL( cg_Uin, myThid ) |
| 470 |
|
|
_EXCH_XY_RL( cg_Vin, myThid ) |
| 471 |
|
|
|
| 472 |
|
|
#endif |
| 473 |
|
|
RETURN |
| 474 |
|
|
END |
| 475 |
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| 476 |
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| 477 |
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| 478 |
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| 479 |
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| 480 |
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| 481 |
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| 482 |
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