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!Environment Canada - Atmospheric Science and Technology License/Disclaimer,
! version 3; Last Modified: May 7, 2008.
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***s/r opinv7 - inverse of quasi-tridiagonal general operator
* in Z direction only (GLB/LAM version)
*
subroutine opinv7 ( F_r, F_ideb,F_jdeb, F_ifin, F_jfin,F_nk, 1,3
% F_axis, F_a_8, F_b_8, F_c_8,
% F_ai_8, F_bi_8, F_ci_8, F_di_8,
% F_prep_L, F_case, NIS, NJS, NKS, SKIP )
*
#include "impnone.cdk"
*
integer F_ideb, F_jdeb,F_ifin,F_jfin,F_nk, NIS, NJS, NKS, SKIP
real F_r(SKIP,NIS,NJS,NKS)
real*8 F_a_8(*), F_b_8(*), F_c_8(*)
real*8 F_ai_8(*), F_bi_8(*), F_ci_8(*), F_di_8(*)
logical F_prep_L
character*1 F_case, F_axis
*
*author
* alain patoine - after opinvss (remove possibility of having
* distinct input and output)
*
*revision
* v3_01 - Lee V. - initial MPI version (from opinv6 v2_00)
* v3_10 - Corbeil & Desgagne & Lee - AIXport+Opti+OpenMP
*
*object
* see above ID
*
*arguments
* Name I/O Description
*----------------------------------------------------------------
* F_r O - result in an array
* F_ideb I - starting index on I
* F_ifin I - ending index on I
* F_jdeb I - starting index on J
* F_jfin I - ending index on J
* F_nk I - number of levels in z-direction
* F_axis I - along the z-axis only
* F_a_8 I - lower diagonal of inverse operator
* F_b_8 I - middle diagonal of inverse operator
* F_c_8 I - upper diagonal of inverse operator
* F_ai_8 I/O - auxiliary vector for inverse
* F_bi_8 I/O - auxiliary vector for inverse
* F_ci_8 I/O - auxiliary vector for inverse
* F_di_8 I/O - auxiliary vector for inverse
* F_prep_L I - .true. to prepare F_ai_8, ..., F_di_8
* F_case I - 'N'eumann, 'D'irichlet or 'P'eriodic boundary condition
* NIS I - field dimension in x-direction
* NJS I - field dimension in y-direction
* NKS I - field dimension in z-direction
* SKIP I - distance between elements of F_r
*
**
*
logical plbnd, plper, plalonz
integer i, j, k, pnm
*
real*8 zero, one
parameter( zero = 0.0 )
parameter( one = 1.0 )
*
*
*******************************************************************************
* *
* ONLY for solving along z direction *
* *
*******************************************************************************
* *
c call tmg_start(76,'opinv')
plalonz = F_axis.eq.'Z'
if ( .not.plalonz ) then
print *,'ERROR: OPINV7 is only correct for Z axis'
call stopmpi(-1)
endif
pnm = F_nk
if ( F_case.eq.'D' ) then
plbnd = .true.
plper = .false.
elseif ( F_case.eq.'N' ) then
plbnd = .false.
plper = .false.
elseif ( F_case.eq.'P' ) then
plbnd = .false.
plper = .true.
endif
*
*
if ( F_prep_L ) then
do i=1,pnm
F_ai_8(i) = F_a_8(i)
F_bi_8(i) = F_b_8(i)
F_ci_8(i) = F_c_8(i)
enddo
if ( plbnd ) then
F_bi_8(1) = one
F_ci_8(1) = zero
F_ai_8(pnm) = zero
F_bi_8(pnm) = one
endif
call set_trig21
% ( F_ai_8, F_bi_8, F_ci_8, F_di_8, F_ai_8, F_bi_8, F_ci_8,
% 1,1, pnm, 1, plper )
endif
*
if ( plper ) pnm = pnm - 1
*
*
do k=1,F_nk
do i=F_ifin+1,NIS
do j=1,NJS
F_r(1,i,j,k) = zero
enddo
enddo
do i=1,F_ideb-1
do j=1,NJS
F_r(1,i,j,k) = zero
enddo
enddo
enddo
*
if ( plbnd ) then
do j=1,NJS
do i=1,NIS
F_r(1,i,j,1) = zero
F_r(1,i,j,F_nk) = zero
enddo
enddo
endif
*
c call tmg_start(97,'msoltri')
call msoltri6
% ( F_r(1,1,1,1), F_r(1,1,1,1), F_bi_8, F_ci_8, F_ai_8,
% NIS*NJS*SKIP, SKIP, pnm, NIS*NJS)
c call tmg_stop(97)
*
if ( plper ) then
!$omp parallel
!$omp do
do j=1,NJS
do i=1,NIS
F_r(1,i,j,F_nk) = F_bi_8(F_nk) * F_r(1,i,j,F_nk)
% + F_ci_8(F_nk) * F_r(1,i,j,1)
% + F_ai_8(1) * F_r(1,i,j,pnm)
enddo
enddo
!$omp enddo
!$omp do
do k=1,pnm
do j=1,NJS
do i=1,NIS
F_r(1,i,j,k) = F_r(1,i,j,k)
% + F_di_8(k) * F_r(1,i,j,F_nk)
enddo
enddo
enddo
!$omp enddo
!$omp end parallel
endif
c call tmg_stop(76)
return
end