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C $Header: /u/gcmpack/MITgcm_contrib/dgoldberg/streamice/streamice_cg_solve.F,v 1.8 2013/05/28 22:32:39 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 |
| 14 |
I A_uu, ! section of matrix that multiplies u and projects on u |
| 15 |
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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#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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|
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#ifdef ALLOW_PETSC |
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#include "finclude/petsc.h" |
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! UNCOMMENT IF V3.0 |
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!#include "finclude/petscvec.h" |
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!#include "finclude/petscmat.h" |
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!#include "finclude/petscksp.h" |
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!#include "finclude/petscpc.h" |
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#endif |
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C === Global variables === |
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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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|
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#ifdef ALLOW_PETSC |
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INTEGER indices(2*(snx*nsx*sny*nsy)) |
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INTEGER n_dofs_cum_sum (0:nPx*nPy-1), idx(1) |
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_RL rhs_values(2*(snx*nsx*sny*nsy)) |
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_RL solution_values(2*(snx*nsx*sny*nsy)) |
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! _RL mat_values (2*Nx*Ny,2*(snx*nsx*sny*nsy)) |
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_RL mat_values (18,1), mat_val_return(1) |
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INTEGER indices_col(18) |
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INTEGER local_dofs, global_dofs, dof_index, dof_index_col |
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INTEGER local_offset |
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Mat matrix |
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KSP ksp |
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PC pc |
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Vec rhs |
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Vec solution |
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PetscErrorCode ierr |
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#ifdef ALLOW_USE_MPI |
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integer mpiRC, mpiMyWid |
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#endif |
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#endif |
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|
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|
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#ifdef ALLOW_STREAMICE |
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|
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|
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|
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CALL TIMER_START ('STREAMICE_CG_SOLVE',myThid) |
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#ifndef STREAMICE_SERIAL_TRISOLVE |
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|
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#ifdef ALLOW_PETSC |
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|
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#ifdef ALLOW_USE_MPI |
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|
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|
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CALL MPI_COMM_RANK( MPI_COMM_WORLD, mpiMyWId, mpiRC ) |
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local_dofs = n_dofs_process (mpiMyWid) |
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global_dofs = 0 |
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|
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n_dofs_cum_sum(0) = 0 |
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DO i=0,nPx*nPy-1 |
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global_dofs = global_dofs + n_dofs_process (i) |
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if (i.ge.1) THEN |
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n_dofs_cum_sum(i) = n_dofs_cum_sum(i-1)+ |
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& n_dofs_process(i-1) |
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endif |
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ENDDO |
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local_offset = n_dofs_cum_sum(mpimywid) |
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|
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#else |
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|
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local_dofs = n_dofs_process (0) |
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global_dofs = local_dofs |
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local_offset = 0 |
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|
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#endif |
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|
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! call petscInitialize(PETSC_NULL_CHARACTER,ierr) |
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|
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!---------------------- |
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|
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call VecCreate(PETSC_COMM_WORLD, rhs, ierr) |
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call VecSetSizes(rhs, local_dofs, global_dofs, ierr) |
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call VecSetType(rhs, VECMPI, ierr) |
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|
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call VecCreate(PETSC_COMM_WORLD, solution, ierr) |
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call VecSetSizes(solution, local_dofs, global_dofs, ierr) |
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call VecSetType(solution, VECMPI, ierr) |
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|
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do i=1,local_dofs |
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indices(i) = i-1 + local_offset |
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end do |
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do i=1,2*nSx*nSy*sNx*sNy |
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rhs_values (i) = 0. _d 0 |
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solution_values (i) = 0. _d 0 |
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enddo |
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|
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! gather rhs and initial guess values to populate petsc vectors |
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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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|
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dof_index = INT(streamice_petsc_dofs_u(i,j,bi,bj)) |
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& - local_offset |
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|
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if (dof_index.ge.0) THEN |
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|
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rhs_values(dof_index+1) = cg_Bu(i,j,bi,bj) |
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solution_values(dof_index+1) = cg_Uin(i,j,bi,bj) |
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|
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endif |
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|
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!--------------- |
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|
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dof_index = INT(streamice_petsc_dofs_v(i,j,bi,bj)) |
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& - local_offset |
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|
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if (dof_index.ge.0) THEN |
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|
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rhs_values(dof_index+1) = cg_Bv(i,j,bi,bj) |
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solution_values(dof_index+1) = cg_Vin(i,j,bi,bj) |
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|
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endif |
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|
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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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call VecSetValues(rhs, local_dofs, indices, rhs_values, |
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& INSERT_VALUES, ierr) |
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call VecAssemblyBegin(rhs, ierr) |
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call VecAssemblyEnd(rhs, ierr) |
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|
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|
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call VecSetValues(solution, local_dofs, indices, |
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& solution_values, INSERT_VALUES, ierr) |
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call VecAssemblyBegin(solution, ierr) |
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call VecAssemblyEnd(solution, ierr) |
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|
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! IF USING v3.0 THEN |
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! call MatCreateMPIAIJ (PETSC_COMM_WORLD, |
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call MatCreateAIJ (PETSC_COMM_WORLD, |
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& local_dofs, local_dofs, |
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& global_dofs, global_dofs, |
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& 18, PETSC_NULL_INTEGER, |
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& 18, PETSC_NULL_INTEGER, |
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& matrix, ierr) |
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|
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|
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! populate petsc 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=1,sNy |
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DO i=1,sNx |
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|
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dof_index = INT(streamice_petsc_dofs_u(i,j,bi,bj)) |
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! & - local_offset |
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|
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IF (dof_index .ge. 0) THEN |
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|
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DO k=1,18 |
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indices_col(k) = 0 |
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mat_values(k,1) = 0. _d 0 |
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ENDDO |
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k=0 |
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|
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DO coly=-1,1 |
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DO colx=-1,1 |
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|
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dof_index_col = streamice_petsc_dofs_u(i+colx,j+coly,bi,bj) |
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|
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if (dof_index_col.ge.0) THEN |
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! pscal = A_uu(i,j,bi,bj,colx,coly) |
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! CALL MatSetValue (matrix,dof_index, dof_index_col, |
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! & pscal,INSERT_VALUES,ierr) |
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k=k+1 |
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mat_values (k,1) = A_uu(i,j,bi,bj,colx,coly) |
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indices_col (k) = dof_index_col |
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endif |
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|
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dof_index_col = streamice_petsc_dofs_v(i+colx,j+coly,bi,bj) |
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|
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if (dof_index_col.ge.0) THEN |
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! CALL MatSetValue (matrix,dof_index, dof_index_col, |
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! & A_uv(i,j,bi,bj,colx,coly),INSERT_VALUES,ierr) |
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k=k+1 |
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mat_values (k,1) = A_uv(i,j,bi,bj,colx,coly) |
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indices_col (k) = dof_index_col |
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endif |
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|
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ENDDO |
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ENDDO |
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|
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call matSetValues (matrix, 1, dof_index, k, indices_col, |
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& mat_values,INSERT_VALUES,ierr) |
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|
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|
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ENDIF |
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|
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! ---------------------------------------------- |
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|
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dof_index = INT(streamice_petsc_dofs_v(i,j,bi,bj)) |
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! & - local_offset |
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|
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IF (dof_index .ge. 0) THEN |
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|
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DO k=1,18 |
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indices_col(k) = 0 |
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mat_values(k,1) = 0. _d 0 |
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ENDDO |
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k=0 |
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|
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DO coly=-1,1 |
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DO colx=-1,1 |
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|
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dof_index_col = streamice_petsc_dofs_u(i+colx,j+coly,bi,bj) |
| 273 |
|
| 274 |
if (dof_index_col.ge.0) THEN |
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! CALL MatSetValue (matrix,dof_index, dof_index_col, |
| 276 |
! & A_vu(i,j,bi,bj,colx,coly),INSERT_VALUES,ierr) |
| 277 |
k=k+1 |
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mat_values (k,1) = A_vu(i,j,bi,bj,colx,coly) |
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indices_col (k) = dof_index_col |
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endif |
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|
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dof_index_col = streamice_petsc_dofs_v(i+colx,j+coly,bi,bj) |
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|
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if (dof_index_col.ge.0) THEN |
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! CALL MatSetValue (matrix,dof_index, dof_index_col, |
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! & A_vv(i,j,bi,bj,colx,coly),INSERT_VALUES,ierr) |
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k=k+1 |
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mat_values (k,1) = A_vv(i,j,bi,bj,colx,coly) |
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indices_col (k) = dof_index_col |
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endif |
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|
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ENDDO |
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ENDDO |
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|
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call matSetValues (matrix, 1, dof_index, k, indices_col, |
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& mat_values,INSERT_VALUES,ierr) |
| 297 |
ENDIF |
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|
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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 MatAssemblyBegin(matrix,MAT_FINAL_ASSEMBLY,ierr) |
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call MatAssemblyEnd(matrix,MAT_FINAL_ASSEMBLY,ierr) |
| 306 |
|
| 307 |
|
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call KSPCreate(PETSC_COMM_WORLD, ksp, ierr) |
| 309 |
call KSPSetOperators(ksp, matrix, matrix, |
| 310 |
& DIFFERENT_NONZERO_PATTERN, ierr) |
| 311 |
|
| 312 |
SELECT CASE (PETSC_SOLVER_TYPE) |
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CASE ('CG') |
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PRINT *, "PETSC SOLVER: SELECTED CG" |
| 315 |
call KSPSetType(ksp, KSPCG, ierr) |
| 316 |
CASE ('GMRES') |
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PRINT *, "PETSC SOLVER: SELECTED GMRES" |
| 318 |
call KSPSetType(ksp, KSPGMRES, ierr) |
| 319 |
CASE ('BICG') |
| 320 |
PRINT *, "PETSC SOLVER: SELECTED BICG" |
| 321 |
call KSPSetType(ksp, KSPBICG, ierr) |
| 322 |
CASE DEFAULT |
| 323 |
PRINT *, "PETSC SOLVER: SELECTED DEFAULT" |
| 324 |
call KSPSetType(ksp, KSPCG, ierr) |
| 325 |
END SELECT |
| 326 |
|
| 327 |
call KSPGetPC(ksp, pc, ierr) |
| 328 |
call KSPSetTolerances(ksp,tolerance, |
| 329 |
& PETSC_DEFAULT_DOUBLE_PRECISION, |
| 330 |
& PETSC_DEFAULT_DOUBLE_PRECISION, |
| 331 |
& streamice_max_cg_iter,ierr) |
| 332 |
|
| 333 |
SELECT CASE (PETSC_PRECOND_TYPE) |
| 334 |
CASE ('BLOCKJACOBI') |
| 335 |
PRINT *, "PETSC PRECOND: SELECTED BJACOBI" |
| 336 |
call PCSetType(pc, PCBJACOBI, ierr) |
| 337 |
CASE ('JACOBI') |
| 338 |
PRINT *, "PETSC PRECOND: SELECTED JACOBI" |
| 339 |
call PCSetType(pc, PCJACOBI, ierr) |
| 340 |
CASE ('ILU') |
| 341 |
PRINT *, "PETSC PRECOND: SELECTED ILU" |
| 342 |
call PCSetType(pc, PCILU, ierr) |
| 343 |
CASE DEFAULT |
| 344 |
PRINT *, "PETSC PRECOND: SELECTED DEFAULT" |
| 345 |
call PCSetType(pc, PCBJACOBI, ierr) |
| 346 |
END SELECT |
| 347 |
|
| 348 |
|
| 349 |
call KSPSolve(ksp, rhs, solution, ierr) |
| 350 |
call KSPGetIterationNumber(ksp,iters,ierr) |
| 351 |
|
| 352 |
call VecGetValues(solution,local_dofs,indices, |
| 353 |
& solution_values,ierr) |
| 354 |
|
| 355 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 356 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 357 |
DO j=1,sNy |
| 358 |
DO i=1,sNx |
| 359 |
|
| 360 |
dof_index = INT(streamice_petsc_dofs_u(i,j,bi,bj)) |
| 361 |
& - local_offset |
| 362 |
if (dof_index.ge.0) THEN |
| 363 |
cg_Uin(i,j,bi,bj) = solution_values(dof_index+1) |
| 364 |
endif |
| 365 |
|
| 366 |
dof_index = INT(streamice_petsc_dofs_v(i,j,bi,bj)) |
| 367 |
& - local_offset |
| 368 |
if (dof_index.ge.0) THEN |
| 369 |
cg_Vin(i,j,bi,bj) = solution_values(dof_index+1) |
| 370 |
endif |
| 371 |
|
| 372 |
ENDDO |
| 373 |
ENDDO |
| 374 |
ENDDO |
| 375 |
ENDDO |
| 376 |
|
| 377 |
|
| 378 |
|
| 379 |
#else /* ALLOW_PETSC */ |
| 380 |
|
| 381 |
|
| 382 |
iters = streamice_max_cg_iter |
| 383 |
conv_flag = 0 |
| 384 |
|
| 385 |
|
| 386 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 387 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 388 |
DO j=1,sNy |
| 389 |
DO i=1,sNx |
| 390 |
Zu_SI (i,j,bi,bj) = 0. _d 0 |
| 391 |
Zv_SI (i,j,bi,bj) = 0. _d 0 |
| 392 |
Ru_SI (i,j,bi,bj) = 0. _d 0 |
| 393 |
Rv_SI (i,j,bi,bj) = 0. _d 0 |
| 394 |
Au_SI (i,j,bi,bj) = 0. _d 0 |
| 395 |
Av_SI (i,j,bi,bj) = 0. _d 0 |
| 396 |
Du_SI (i,j,bi,bj) = 0. _d 0 |
| 397 |
Dv_SI (i,j,bi,bj) = 0. _d 0 |
| 398 |
ENDDO |
| 399 |
ENDDO |
| 400 |
ENDDO |
| 401 |
ENDDO |
| 402 |
|
| 403 |
C FIND INITIAL RESIDUAL, and initialize r |
| 404 |
|
| 405 |
! #ifdef STREAMICE_CONSTRUCT_MATRIX |
| 406 |
|
| 407 |
|
| 408 |
|
| 409 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 410 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 411 |
DO j=1,sNy |
| 412 |
DO i=1,sNx |
| 413 |
DO colx=-1,1 |
| 414 |
DO coly=-1,1 |
| 415 |
Au_SI(i,j,bi,bj) = Au_SI(i,j,bi,bj) + |
| 416 |
& A_uu(i,j,bi,bj,colx,coly)* |
| 417 |
& cg_Uin(i+colx,j+coly,bi,bj)+ |
| 418 |
& A_uv(i,j,bi,bj,colx,coly)* |
| 419 |
& cg_Vin(i+colx,j+coly,bi,bj) |
| 420 |
|
| 421 |
|
| 422 |
Av_SI(i,j,bi,bj) = Av_SI(i,j,bi,bj) + |
| 423 |
& A_vu(i,j,bi,bj,colx,coly)* |
| 424 |
& cg_Uin(i+colx,j+coly,bi,bj)+ |
| 425 |
& A_vv(i,j,bi,bj,colx,coly)* |
| 426 |
& cg_Vin(i+colx,j+coly,bi,bj) |
| 427 |
ENDDO |
| 428 |
ENDDO |
| 429 |
ENDDO |
| 430 |
ENDDO |
| 431 |
ENDDO |
| 432 |
ENDDO |
| 433 |
|
| 434 |
|
| 435 |
_EXCH_XY_RL( Au_SI, myThid ) |
| 436 |
_EXCH_XY_RL( Av_SI, myThid ) |
| 437 |
|
| 438 |
|
| 439 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 440 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 441 |
DO j=1-OLy,sNy+OLy |
| 442 |
DO i=1-OLx,sNx+OLx |
| 443 |
Ru_SI(i,j,bi,bj)=cg_Bu(i,j,bi,bj)- |
| 444 |
& Au_SI(i,j,bi,bj) |
| 445 |
Rv_SI(i,j,bi,bj)=cg_Bv(i,j,bi,bj)- |
| 446 |
& Av_SI(i,j,bi,bj) |
| 447 |
ENDDO |
| 448 |
ENDDO |
| 449 |
dot_p1_tile(bi,bj) = 0. _d 0 |
| 450 |
dot_p2_tile(bi,bj) = 0. _d 0 |
| 451 |
ENDDO |
| 452 |
ENDDO |
| 453 |
|
| 454 |
|
| 455 |
|
| 456 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 457 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 458 |
DO j=1,sNy |
| 459 |
DO i=1,sNx |
| 460 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
| 461 |
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Ru_SI(i,j,bi,bj)**2 |
| 462 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
| 463 |
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Rv_SI(i,j,bi,bj)**2 |
| 464 |
ENDDO |
| 465 |
ENDDO |
| 466 |
ENDDO |
| 467 |
ENDDO |
| 468 |
|
| 469 |
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
| 470 |
resid_0 = sqrt(dot_p1) |
| 471 |
|
| 472 |
WRITE(msgBuf,'(A,E14.7)') 'CONJ GRAD INIT RESID, ', |
| 473 |
& resid_0 |
| 474 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 475 |
& SQUEEZE_RIGHT , 1) |
| 476 |
|
| 477 |
C CCCCCCCCCCCCCCCCCCCC |
| 478 |
|
| 479 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 480 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 481 |
DO j=1-OLy,sNy+OLy |
| 482 |
DO i=1-OLx,sNx+OLx |
| 483 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
| 484 |
& Zu_SI(i,j,bi,bj)=Ru_SI(i,j,bi,bj) / DIAGu_SI(i,j,bi,bj) |
| 485 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
| 486 |
& Zv_SI(i,j,bi,bj)=Rv_SI(i,j,bi,bj) / DIAGv_SI(i,j,bi,bj) |
| 487 |
ENDDO |
| 488 |
ENDDO |
| 489 |
ENDDO |
| 490 |
ENDDO |
| 491 |
|
| 492 |
cg_halo = min(OLx-1,OLy-1) |
| 493 |
conv_flag = 0 |
| 494 |
|
| 495 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 496 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 497 |
DO j=1-OLy,sNy+OLy |
| 498 |
DO i=1-OLx,sNx+OLx |
| 499 |
Du_SI(i,j,bi,bj)=Zu_SI(i,j,bi,bj) |
| 500 |
Dv_SI(i,j,bi,bj)=Zv_SI(i,j,bi,bj) |
| 501 |
ENDDO |
| 502 |
ENDDO |
| 503 |
ENDDO |
| 504 |
ENDDO |
| 505 |
|
| 506 |
resid = resid_0 |
| 507 |
iters = 0 |
| 508 |
|
| 509 |
c !!!!!!!!!!!!!!!!!! |
| 510 |
c !! !! |
| 511 |
c !! MAIN CG LOOP !! |
| 512 |
c !! !! |
| 513 |
c !!!!!!!!!!!!!!!!!! |
| 514 |
|
| 515 |
|
| 516 |
|
| 517 |
|
| 518 |
c ! initially, b-grid data is valid up to 3 halo nodes out -- right? (check for MITgcm!!) |
| 519 |
|
| 520 |
WRITE(msgBuf,'(A)') 'BEGINNING MAIN CG LOOP' |
| 521 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 522 |
& SQUEEZE_RIGHT , 1) |
| 523 |
|
| 524 |
! IF(STREAMICE_construct_matrix) CALL STREAMICE_CG_MAKE_A(myThid) |
| 525 |
|
| 526 |
|
| 527 |
do iter = 1, streamice_max_cg_iter |
| 528 |
if (resid .gt. tolerance*resid_0) then |
| 529 |
|
| 530 |
c to avoid using "exit" |
| 531 |
iters = iters + 1 |
| 532 |
|
| 533 |
is = 1 - cg_halo |
| 534 |
ie = sNx + cg_halo |
| 535 |
js = 1 - cg_halo |
| 536 |
je = sNy + cg_halo |
| 537 |
|
| 538 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 539 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 540 |
DO j=1-OLy,sNy+OLy |
| 541 |
DO i=1-OLx,sNx+OLx |
| 542 |
Au_SI(i,j,bi,bj) = 0. _d 0 |
| 543 |
Av_SI(i,j,bi,bj) = 0. _d 0 |
| 544 |
ENDDO |
| 545 |
ENDDO |
| 546 |
ENDDO |
| 547 |
ENDDO |
| 548 |
|
| 549 |
! IF (STREAMICE_construct_matrix) THEN |
| 550 |
|
| 551 |
! #ifdef STREAMICE_CONSTRUCT_MATRIX |
| 552 |
|
| 553 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 554 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 555 |
DO j=js,je |
| 556 |
DO i=is,ie |
| 557 |
DO colx=-1,1 |
| 558 |
DO coly=-1,1 |
| 559 |
Au_SI(i,j,bi,bj) = Au_SI(i,j,bi,bj) + |
| 560 |
& A_uu(i,j,bi,bj,colx,coly)* |
| 561 |
& Du_SI(i+colx,j+coly,bi,bj)+ |
| 562 |
& A_uv(i,j,bi,bj,colx,coly)* |
| 563 |
& Dv_SI(i+colx,j+coly,bi,bj) |
| 564 |
Av_SI(i,j,bi,bj) = Av_SI(i,j,bi,bj) + |
| 565 |
& A_vu(i,j,bi,bj,colx,coly)* |
| 566 |
& Du_SI(i+colx,j+coly,bi,bj)+ |
| 567 |
& A_vv(i,j,bi,bj,colx,coly)* |
| 568 |
& Dv_SI(i+colx,j+coly,bi,bj) |
| 569 |
ENDDO |
| 570 |
ENDDO |
| 571 |
ENDDO |
| 572 |
ENDDO |
| 573 |
ENDDO |
| 574 |
ENDDO |
| 575 |
|
| 576 |
! else |
| 577 |
! #else |
| 578 |
! |
| 579 |
! CALL STREAMICE_CG_ACTION( myThid, |
| 580 |
! O Au_SI, |
| 581 |
! O Av_SI, |
| 582 |
! I Du_SI, |
| 583 |
! I Dv_SI, |
| 584 |
! I is,ie,js,je) |
| 585 |
! |
| 586 |
! ! ENDIF |
| 587 |
! |
| 588 |
! #endif |
| 589 |
|
| 590 |
|
| 591 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 592 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 593 |
dot_p1_tile(bi,bj) = 0. _d 0 |
| 594 |
dot_p2_tile(bi,bj) = 0. _d 0 |
| 595 |
ENDDO |
| 596 |
ENDDO |
| 597 |
|
| 598 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 599 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 600 |
DO j=1,sNy |
| 601 |
DO i=1,sNx |
| 602 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
| 603 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zu_SI(i,j,bi,bj)* |
| 604 |
& Ru_SI(i,j,bi,bj) |
| 605 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Du_SI(i,j,bi,bj)* |
| 606 |
& Au_SI(i,j,bi,bj) |
| 607 |
ENDIF |
| 608 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
| 609 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zv_SI(i,j,bi,bj)* |
| 610 |
& Rv_SI(i,j,bi,bj) |
| 611 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Dv_SI(i,j,bi,bj)* |
| 612 |
& Av_SI(i,j,bi,bj) |
| 613 |
ENDIF |
| 614 |
ENDDO |
| 615 |
ENDDO |
| 616 |
ENDDO |
| 617 |
ENDDO |
| 618 |
|
| 619 |
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
| 620 |
CALL GLOBAL_SUM_TILE_RL( dot_p2_tile, dot_p2, myThid ) |
| 621 |
alpha_k = dot_p1/dot_p2 |
| 622 |
|
| 623 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 624 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 625 |
DO j=1-OLy,sNy+OLy |
| 626 |
DO i=1-OLx,sNx+OLx |
| 627 |
|
| 628 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
| 629 |
cg_Uin(i,j,bi,bj)=cg_Uin(i,j,bi,bj)+ |
| 630 |
& alpha_k*Du_SI(i,j,bi,bj) |
| 631 |
Ru_old_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj) |
| 632 |
Zu_old_SI(i,j,bi,bj) = Zu_SI(i,j,bi,bj) |
| 633 |
Ru_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj)- |
| 634 |
& alpha_k*Au_SI(i,j,bi,bj) |
| 635 |
Zu_SI(i,j,bi,bj) = Ru_SI(i,j,bi,bj) / |
| 636 |
& DIAGu_SI(i,j,bi,bj) |
| 637 |
ENDIF |
| 638 |
|
| 639 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
| 640 |
cg_Vin(i,j,bi,bj)=cg_Vin(i,j,bi,bj)+ |
| 641 |
& alpha_k*Dv_SI(i,j,bi,bj) |
| 642 |
Rv_old_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj) |
| 643 |
Zv_old_SI(i,j,bi,bj) = Zv_SI(i,j,bi,bj) |
| 644 |
Rv_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj)- |
| 645 |
& alpha_k*Av_SI(i,j,bi,bj) |
| 646 |
Zv_SI(i,j,bi,bj) = Rv_SI(i,j,bi,bj) / |
| 647 |
& DIAGv_SI(i,j,bi,bj) |
| 648 |
|
| 649 |
ENDIF |
| 650 |
ENDDO |
| 651 |
ENDDO |
| 652 |
ENDDO |
| 653 |
ENDDO |
| 654 |
|
| 655 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 656 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 657 |
dot_p1_tile(bi,bj) = 0. _d 0 |
| 658 |
dot_p2_tile(bi,bj) = 0. _d 0 |
| 659 |
ENDDO |
| 660 |
ENDDO |
| 661 |
|
| 662 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 663 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 664 |
DO j=1,sNy |
| 665 |
DO i=1,sNx |
| 666 |
|
| 667 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) THEN |
| 668 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zu_SI(i,j,bi,bj)* |
| 669 |
& Ru_SI(i,j,bi,bj) |
| 670 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Zu_old_SI(i,j,bi,bj)* |
| 671 |
& Ru_old_SI(i,j,bi,bj) |
| 672 |
ENDIF |
| 673 |
|
| 674 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) THEN |
| 675 |
dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Zv_SI(i,j,bi,bj)* |
| 676 |
& Rv_SI(i,j,bi,bj) |
| 677 |
dot_p2_tile(bi,bj)=dot_p2_tile(bi,bj)+Zv_old_SI(i,j,bi,bj)* |
| 678 |
& Rv_old_SI(i,j,bi,bj) |
| 679 |
ENDIF |
| 680 |
|
| 681 |
ENDDO |
| 682 |
ENDDO |
| 683 |
ENDDO |
| 684 |
ENDDO |
| 685 |
|
| 686 |
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
| 687 |
CALL GLOBAL_SUM_TILE_RL( dot_p2_tile, dot_p2, myThid ) |
| 688 |
|
| 689 |
beta_k = dot_p1/dot_p2 |
| 690 |
|
| 691 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 692 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 693 |
DO j=1-OLy,sNy+OLy |
| 694 |
DO i=1-OLx,sNx+OLx |
| 695 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
| 696 |
& Du_SI(i,j,bi,bj)=beta_k*Du_SI(i,j,bi,bj)+ |
| 697 |
& Zu_SI(i,j,bi,bj) |
| 698 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
| 699 |
& Dv_SI(i,j,bi,bj)=beta_k*Dv_SI(i,j,bi,bj)+ |
| 700 |
& Zv_SI(i,j,bi,bj) |
| 701 |
ENDDO |
| 702 |
ENDDO |
| 703 |
ENDDO |
| 704 |
ENDDO |
| 705 |
|
| 706 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 707 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 708 |
dot_p1_tile(bi,bj) = 0. _d 0 |
| 709 |
ENDDO |
| 710 |
ENDDO |
| 711 |
|
| 712 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 713 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 714 |
DO j=1,sNy |
| 715 |
DO i=1,sNx |
| 716 |
IF (STREAMICE_umask(i,j,bi,bj).eq.1.0) |
| 717 |
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Ru_SI(i,j,bi,bj)**2 |
| 718 |
IF (STREAMICE_vmask(i,j,bi,bj).eq.1.0) |
| 719 |
& dot_p1_tile(bi,bj)=dot_p1_tile(bi,bj)+Rv_SI(i,j,bi,bj)**2 |
| 720 |
ENDDO |
| 721 |
ENDDO |
| 722 |
ENDDO |
| 723 |
ENDDO |
| 724 |
|
| 725 |
CALL GLOBAL_SUM_TILE_RL( dot_p1_tile, dot_p1, myThid ) |
| 726 |
resid = sqrt(dot_p1) |
| 727 |
|
| 728 |
! IF (iter .eq. 1) then |
| 729 |
! print *, alpha_k, beta_k, resid |
| 730 |
! ENDIF |
| 731 |
|
| 732 |
cg_halo = cg_halo - 1 |
| 733 |
|
| 734 |
if (cg_halo .eq. 0) then |
| 735 |
cg_halo = min(OLx-1,OLy-1) |
| 736 |
_EXCH_XY_RL( Du_SI, myThid ) |
| 737 |
_EXCH_XY_RL( Dv_SI, myThid ) |
| 738 |
_EXCH_XY_RL( Ru_SI, myThid ) |
| 739 |
_EXCH_XY_RL( Rv_SI, myThid ) |
| 740 |
_EXCH_XY_RL( cg_Uin, myThid ) |
| 741 |
_EXCH_XY_RL( cg_Vin, myThid ) |
| 742 |
endif |
| 743 |
|
| 744 |
|
| 745 |
endif |
| 746 |
enddo ! end of CG loop |
| 747 |
|
| 748 |
c to avoid using "exit" |
| 749 |
c if iters has reached max_iters there is no convergence |
| 750 |
|
| 751 |
IF (iters .lt. streamice_max_cg_iter) THEN |
| 752 |
conv_flag = 1 |
| 753 |
ENDIF |
| 754 |
|
| 755 |
! DO bj = myByLo(myThid), myByHi(myThid) |
| 756 |
! DO bi = myBxLo(myThid), myBxHi(myThid) |
| 757 |
! DO j=1-OLy,sNy+OLy |
| 758 |
! DO i=1-OLy,sNx+OLy |
| 759 |
! IF (STREAMICE_umask(i,j,bi,bj).eq.3.0) |
| 760 |
! & cg_Uin(i,j,bi,bj)=u_bdry_values_SI(i,j,bi,bj) |
| 761 |
! IF (STREAMICE_vmask(i,j,bi,bj).eq.3.0) |
| 762 |
! & cg_Vin(i,j,bi,bj)=v_bdry_values_SI(i,j,bi,bj) |
| 763 |
! ENDDO |
| 764 |
! ENDDO |
| 765 |
! ENDDO |
| 766 |
! ENDDO |
| 767 |
! |
| 768 |
! _EXCH_XY_RL( cg_Uin, myThid ) |
| 769 |
! _EXCH_XY_RL( cg_Vin, myThid ) |
| 770 |
|
| 771 |
#endif /* ifndef ALLOW_PETSC */ |
| 772 |
|
| 773 |
#else /* STREAMICE_SERIAL_TRISOLVE */ |
| 774 |
|
| 775 |
CALL STREAMICE_TRIDIAG_SOLVE( |
| 776 |
U cg_Uin, ! x-velocities |
| 777 |
U cg_Vin, |
| 778 |
U cg_Bu, ! force in x dir |
| 779 |
I A_uu, ! section of matrix that multiplies u and projects on u |
| 780 |
I STREAMICE_umask, |
| 781 |
I myThid ) |
| 782 |
|
| 783 |
#endif |
| 784 |
|
| 785 |
CALL TIMER_STOP ('STREAMICE_CG_SOLVE',myThid) |
| 786 |
|
| 787 |
|
| 788 |
#endif |
| 789 |
RETURN |
| 790 |
END |
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