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solver_test.f90
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! ----------------------------------------------------------------
! file: solver_test.f90
!
! This program tests the solver module by setting up the cell
! coefficients for a simple steady-state heat transfer problem. The
! problem and (inaccurate) solution are described in Example 7.2 of
! "An Introduction to Computational Fluid Dynamics" by H.K. Versteeg
! and W. Malalasekera. Successful output should look like (this does
! not precisely match the answer in the book):
!
! 1 1 1 10.0 0.0 0.0 10.0 20.0 500.0 260.04
! 1 2 2 10.0 10.0 0.0 10.0 30.0 500.0 242.27
! 1 3 3 10.0 10.0 0.0 10.0 30.0 500.0 205.59
! 1 4 4 0.0 10.0 0.0 10.0 40.0 2500.0 146.32
! 2 1 5 10.0 0.0 10.0 10.0 30.0 0.0 227.80
! 2 2 6 10.0 10.0 10.0 10.0 40.0 0.0 211.20
! 2 3 7 10.0 10.0 10.0 10.0 40.0 0.0 178.18
! 2 4 8 0.0 10.0 10.0 10.0 50.0 2000.0 129.70
! 3 1 9 10.0 0.0 10.0 0.0 20.0 0.0 212.16
! 3 2 10 10.0 10.0 10.0 0.0 30.0 0.0 196.53
! 3 3 11 10.0 10.0 10.0 0.0 30.0 0.0 166.23
! 3 4 12 0.0 10.0 10.0 0.0 40.0 2000.0 123.98
! ----------------------------------------------------------------
! ----------------------------------------------------------------
! Battelle Memorial Institute
! Pacific Northwest Laboratory
! ----------------------------------------------------------------
! ----------------------------------------------------------------
! Created November 4, 2002 by William A. Perkins
! Last Change: Wed Jan 12 12:54:26 2011 by William A. Perkins <[email protected]>
! ----------------------------------------------------------------
PROGRAM solver_test
USE solver_module
IMPLICIT NONE
CHARACTER (LEN=80), SAVE :: rcsid = "$Id$"
INTEGER, PARAMETER :: imax = 3, jmax = 4
DOUBLE PRECISION :: k, t, w, h
DOUBLE PRECISION :: dx,dy
DOUBLE PRECISION, DIMENSION(1:imax,1:jmax) :: ap, aw, ae, as, an, bp, tsol
CHARACTER (LEN=1024) :: buf
INTEGER :: i, j, junk, limin, limax, ljmin, ljmax
INTEGER :: iP, iN, iS, iE, iW
INTEGER :: ierr, me, nproc, p
DATA k, t, w, h / 1000, 0.01, 0.3, 0.4 /
dx = w/REAL(imax)
dy = h/REAL(jmax)
scalar_sweep = 500
CALL mpi_init( ierr )
CALL mpi_comm_rank(MPI_COMM_WORLD, me, ierr)
CALL mpi_comm_size(MPI_COMM_WORLD, nproc, ierr)
CALL solver_initialize(1)
SELECT CASE (nproc)
CASE (1)
limin = 1
limax = imax
ljmin = 1
ljmax = jmax
CASE (2)
limin = 1
limax = imax
ljmin = me*jmax/2 + 1
ljmax = (me+1)*jmax/2
CASE DEFAULT
STOP
END SELECT
WRITE (*, *) me, limin, limax, ljmin, ljmax
junk = solver_initialize_block(1, 1, imax, 1, jmax, &
&limin, limax, ljmin, ljmax, .FALSE., .TRUE.)
OPEN(file="junk", unit=1)
WRITE(1,*) "Writing after Solver Initialization"
CLOSE(1)
OPEN(file="junk", unit=1)
READ(1,'(A1024)') buf
WRITE(*,*) TRIM(buf)
CLOSE(1)
DO i = limin, limax
DO j = ljmin, ljmax
bp(i,j) = 0.0
ap(i,j) = 0.0
IF (j .EQ. 1) THEN
as(i,j) = 0.0
bp(i,j) = bp(i,j) + 0.0
ap(i,j) = ap(i,j) - 0.0
ELSE
as(i,j) = (k/dx)*(dx*t)
END IF
IF (j .EQ. jmax) THEN
an(i,j) = 0.0
bp(i,j) = bp(i,j) + 2*k/dy*(dy*t)*100.0
ap(i,j) = ap(i,j) + 2*k/dy*(dy*t)
ELSE
an(i,j) = (k/dx)*(dx*t)
END IF
IF (i .EQ. 1) THEN
aw(i,j) = 0.0
bp(i,j) = bp(i,j) + 500000.0*dy*t
ap(i,j) = ap(i,j) - 0.0
ELSE
aw(i,j) = (k/dx)*(dx*t)
END IF
IF (i .EQ. imax) THEN
ae(i,j) = 0.0
bp(i,j) = bp(i,j) + 0.0
ap(i,j) = ap(i,j) - 0.0
ELSE
ae(i,j) = (k/dx)*(dx*t)
END IF
ap(i,j) = ap(i,j) + aw(i,j) + ae(i,j) + an(i,j) + as(i,j)
END DO
END DO
tsol = 0.0
!!$ DO i = 1, imax
!!$ DO j = 1, jmax
!!$ ip = (i-1)*jmax + j
!!$ WRITE (*,100) i, j, ip, &
!!$ &an(i,j), as(i,j), aw(i,j), ae(i,j), &
!!$ &ap(i,j), bp(i,j), tsol(i, j)
!!$ END DO
!!$ END DO
junk = solver(1, SOLVE_SCALAR, limin, limax, ljmin, ljmax, 500, &
&ap(limin:limax,ljmin:ljmax), aw(limin:limax,ljmin:ljmax), ae(limin:limax,ljmin:ljmax), &
&as(limin:limax,ljmin:ljmax), an(limin:limax,ljmin:ljmax), bp(limin:limax,ljmin:ljmax), &
&tsol(limin:limax,ljmin:ljmax))
DO i = 1, imax
DO j = ljmin, ljmax
IF (.NOT.(limin .LE. i .AND. i .LE. limax)) CYCLE
IF (.NOT.(ljmin .LE. j .AND. j .LE. ljmax)) CYCLE
ip = (i-1)*jmax + j
WRITE (*,100) me, i, j, ip, &
&an(i,j), as(i,j), aw(i,j), ae(i,j), &
&ap(i,j), bp(i,j), tsol(i, j)
CALL mpi_barrier(MPI_COMM_WORLD, ierr)
END DO
END DO
!!$ ! tsol = 0.9*tsol
!!$ junk = solver(1, SOLVE_SCALAR, 1, imax, 1, jmax, 500, &
!!$ &ap, aw, ae, &
!!$ &as, an, bp, &
!!$ &tsol)
!!$
!!$ WRITE(*,*)
!!$ DO p = 0, nproc - 1
!!$ IF (me .EQ. p) THEN
!!$ DO i = limin, limax
!!$ DO j = ljmin, ljmax
!!$ ip = (i-1)*jmax + j
!!$ WRITE (*,100) p, i, j, ip, &
!!$ &an(i,j), as(i,j), aw(i,j), ae(i,j), &
!!$ &ap(i,j), bp(i,j), tsol(i, j)
!!$ END DO
!!$ END DO
!!$ END IF
!!$ END DO
junk = solver_finalize()
CALL mpi_finalize(junk)
100 FORMAT(I2, 3I6,6F8.1, F8.2)
END PROGRAM solver_test