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C $Header: /u/gcmpack/MITgcm_contrib/dgoldberg/streamice/streamice_cg_solve.F,v 1.5 2012/07/26 16:13:18 dgoldberg Exp $ |
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C $Name: $ |
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|
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#include "STREAMICE_OPTIONS.h" |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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CBOP |
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SUBROUTINE STREAMICE_CG_SOLVE( |
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U cg_Uin, ! x-velocities |
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U cg_Vin, ! y-velocities |
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I cg_Bu, ! force in x dir |
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I cg_Bv, ! force in y dir |
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I A_uu, ! section of matrix that multiplies u and projects on u |
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I A_uv, ! section of matrix that multiplies v and projects on u |
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I A_vu, ! section of matrix that multiplies u and projects on v |
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I A_vv, ! section of matrix that multiplies v and projects on v |
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I tolerance, |
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O iters, |
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I 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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|
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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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|
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|
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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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_RL |
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& A_uu (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy,-1:1,-1:1), |
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& A_vu (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy,-1:1,-1:1), |
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& A_uv (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy,-1:1,-1:1), |
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& A_vv (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy,-1:1,-1:1) |
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|
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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, alpha_k, beta_k, resid, resid_0 |
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_RL dot_p1_tile (nSx,nSy) |
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_RL dot_p2_tile (nSx,nSy) |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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|
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iters = streamice_max_cg_iter |
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|
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#ifdef ALLOW_STREAMICE |
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|
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|
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conv_flag = 0 |
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|
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|
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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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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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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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C FIND INITIAL RESIDUAL, and initialize r |
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|
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! #ifdef STREAMICE_CONSTRUCT_MATRIX |
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|
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|
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|
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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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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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& A_uu(i,j,bi,bj,colx,coly)* |
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& cg_Uin(i+colx,j+coly,bi,bj)+ |
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& A_uv(i,j,bi,bj,colx,coly)* |
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& cg_Vin(i+colx,j+coly,bi,bj) |
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|
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|
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Av_SI(i,j,bi,bj) = Av_SI(i,j,bi,bj) + |
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& A_vu(i,j,bi,bj,colx,coly)* |
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& cg_Uin(i+colx,j+coly,bi,bj)+ |
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& A_vv(i,j,bi,bj,colx,coly)* |
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& cg_Vin(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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|
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|
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_EXCH_XY_RL( Au_SI, myThid ) |
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_EXCH_XY_RL( Av_SI, myThid ) |
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|
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|
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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)=cg_Bu(i,j,bi,bj)- |
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& Au_SI(i,j,bi,bj) |
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Rv_SI(i,j,bi,bj)=cg_Bv(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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|
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|
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|
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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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|
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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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|
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WRITE(msgBuf,'(A,E14.7)') 'CONJ GRAD INIT RESID, ', |
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& resid_0 |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT , 1) |
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|
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C CCCCCCCCCCCCCCCCCCCC |
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|
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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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|
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cg_halo = min(OLx-1,OLy-1) |
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conv_flag = 0 |
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|
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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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|
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resid = resid_0 |
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iters = 0 |
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|
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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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|
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|
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|
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|
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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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|
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WRITE(msgBuf,'(A)') 'BEGINNING MAIN CG LOOP' |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT , 1) |
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|
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! IF(STREAMICE_construct_matrix) CALL STREAMICE_CG_MAKE_A(myThid) |
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|
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|
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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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|
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c to avoid using "exit" |
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iters = iters + 1 |
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|
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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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|
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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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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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! IF (STREAMICE_construct_matrix) THEN |
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|
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! #ifdef STREAMICE_CONSTRUCT_MATRIX |
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|
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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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& A_uu(i,j,bi,bj,colx,coly)* |
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& Du_SI(i+colx,j+coly,bi,bj)+ |
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& A_uv(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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& A_vu(i,j,bi,bj,colx,coly)* |
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& Du_SI(i+colx,j+coly,bi,bj)+ |
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& A_vv(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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|
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! else |
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! #else |
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! |
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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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! |
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! ! ENDIF |
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! |
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! #endif |
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|
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|
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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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|
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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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|
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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 ) |
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alpha_k = dot_p1/dot_p2 |
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|
| 306 |
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 |
| 310 |
|
| 311 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
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cg_Uin(i,j,bi,bj)=cg_Uin(i,j,bi,bj)+ |
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& alpha_k*Du_SI(i,j,bi,bj) |
| 314 |
Ru_old_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj) |
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Zu_old_SI(i,j,bi,bj) = Zu_SI(i,j,bi,bj) |
| 316 |
Ru_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj)- |
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& alpha_k*Au_SI(i,j,bi,bj) |
| 318 |
Zu_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj) / |
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& DIAGu_SI(i,j,bi,bj) |
| 320 |
ENDIF |
| 321 |
|
| 322 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
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cg_Vin(i,j,bi,bj)=cg_Vin(i,j,bi,bj)+ |
| 324 |
& alpha_k*Dv_SI(i,j,bi,bj) |
| 325 |
Rv_old_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj) |
| 326 |
Zv_old_SI(i,j,bi,bj) = Zv_SI(i,j,bi,bj) |
| 327 |
Rv_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj)- |
| 328 |
& alpha_k*Av_SI(i,j,bi,bj) |
| 329 |
Zv_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj) / |
| 330 |
& DIAGv_SI(i,j,bi,bj) |
| 331 |
|
| 332 |
ENDIF |
| 333 |
ENDDO |
| 334 |
ENDDO |
| 335 |
ENDDO |
| 336 |
ENDDO |
| 337 |
|
| 338 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 339 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 340 |
dot_p1_tile(bi,bj) = 0. _d 0 |
| 341 |
dot_p2_tile(bi,bj) = 0. _d 0 |
| 342 |
ENDDO |
| 343 |
ENDDO |
| 344 |
|
| 345 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 346 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 347 |
DO j=1,sNy |
| 348 |
DO i=1,sNx |
| 349 |
|
| 350 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
| 351 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zu_SI(i,j,bi,bj)* |
| 352 |
& Ru_SI(i,j,bi,bj) |
| 353 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Zu_old_SI(i,j,bi,bj)* |
| 354 |
& Ru_old_SI(i,j,bi,bj) |
| 355 |
ENDIF |
| 356 |
|
| 357 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
| 358 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zv_SI(i,j,bi,bj)* |
| 359 |
& Rv_SI(i,j,bi,bj) |
| 360 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Zv_old_SI(i,j,bi,bj)* |
| 361 |
& Rv_old_SI(i,j,bi,bj) |
| 362 |
ENDIF |
| 363 |
|
| 364 |
ENDDO |
| 365 |
ENDDO |
| 366 |
ENDDO |
| 367 |
ENDDO |
| 368 |
|
| 369 |
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
| 370 |
CALL GLOBAL_SUM_TILE_RL( dot_p2_tile, dot_p2, myThid ) |
| 371 |
|
| 372 |
beta_k = dot_p1/dot_p2 |
| 373 |
|
| 374 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 375 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 376 |
DO j=1-OLy,sNy+OLy |
| 377 |
DO i=1-OLx,sNx+OLx |
| 378 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
| 379 |
& Du_SI(i,j,bi,bj)=beta_k*Du_SI(i,j,bi,bj)+ |
| 380 |
& Zu_SI(i,j,bi,bj) |
| 381 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
| 382 |
& Dv_SI(i,j,bi,bj)=beta_k*Dv_SI(i,j,bi,bj)+ |
| 383 |
& Zv_SI(i,j,bi,bj) |
| 384 |
ENDDO |
| 385 |
ENDDO |
| 386 |
ENDDO |
| 387 |
ENDDO |
| 388 |
|
| 389 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 390 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 391 |
dot_p1_tile(bi,bj) = 0. _d 0 |
| 392 |
ENDDO |
| 393 |
ENDDO |
| 394 |
|
| 395 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 396 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 397 |
DO j=1,sNy |
| 398 |
DO i=1,sNx |
| 399 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
| 400 |
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Ru_SI(i,j,bi,bj)**2 |
| 401 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
| 402 |
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Rv_SI(i,j,bi,bj)**2 |
| 403 |
ENDDO |
| 404 |
ENDDO |
| 405 |
ENDDO |
| 406 |
ENDDO |
| 407 |
|
| 408 |
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
| 409 |
resid = sqrt(dot_p1) |
| 410 |
|
| 411 |
! IF (iter .eq. 1) then |
| 412 |
! print *, alpha_k, beta_k, resid |
| 413 |
! ENDIF |
| 414 |
|
| 415 |
cg_halo = cg_halo - 1 |
| 416 |
|
| 417 |
if (cg_halo .eq. 0) then |
| 418 |
cg_halo = min(OLx-1,OLy-1) |
| 419 |
_EXCH_XY_RL( Du_SI, myThid ) |
| 420 |
_EXCH_XY_RL( Dv_SI, myThid ) |
| 421 |
_EXCH_XY_RL( Ru_SI, myThid ) |
| 422 |
_EXCH_XY_RL( Rv_SI, myThid ) |
| 423 |
_EXCH_XY_RL( cg_Uin, myThid ) |
| 424 |
_EXCH_XY_RL( cg_Vin, myThid ) |
| 425 |
endif |
| 426 |
|
| 427 |
|
| 428 |
endif |
| 429 |
enddo ! end of CG loop |
| 430 |
|
| 431 |
c to avoid using "exit" |
| 432 |
c if iters has reached max_iters there is no convergence |
| 433 |
|
| 434 |
IF (iters .lt. streamice_max_cg_iter) THEN |
| 435 |
conv_flag = 1 |
| 436 |
ENDIF |
| 437 |
|
| 438 |
! DO bj = myByLo(myThid), myByHi(myThid) |
| 439 |
! DO bi = myBxLo(myThid), myBxHi(myThid) |
| 440 |
! DO j=1-OLy,sNy+OLy |
| 441 |
! DO i=1-OLy,sNx+OLy |
| 442 |
! IF (STREAMICE_umask(i,j,bi,bj).eq.3.0) |
| 443 |
! & cg_Uin(i,j,bi,bj)=u_bdry_values_SI(i,j,bi,bj) |
| 444 |
! IF (STREAMICE_vmask(i,j,bi,bj).eq.3.0) |
| 445 |
! & cg_Vin(i,j,bi,bj)=v_bdry_values_SI(i,j,bi,bj) |
| 446 |
! ENDDO |
| 447 |
! ENDDO |
| 448 |
! ENDDO |
| 449 |
! ENDDO |
| 450 |
! |
| 451 |
! _EXCH_XY_RL( cg_Uin, myThid ) |
| 452 |
! _EXCH_XY_RL( cg_Vin, myThid ) |
| 453 |
|
| 454 |
#endif |
| 455 |
RETURN |
| 456 |
END |
| 457 |
|
| 458 |
|
| 459 |
|
| 460 |
|
| 461 |
|
| 462 |
|
| 463 |
|
| 464 |
|
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