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!Environment Canada - Atmospheric Science and Technology License/Disclaimer,
! version 3; Last Modified: May 7, 2008.
!This is free but copyrighted software; you can use/redistribute/modify it under the terms
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***s/r opinv6 - inverse of quasi-tridiagonal general operator
* in one direction
*
subroutine opinv6 ( F_r, F_ni, F_nj, F_nk, 2,4
% 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_ni, F_nj, 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
* v2_00 - Lee V. - initial MPI version (from opinv v1_03)
*
*object
* see above ID
*
*arguments
* Name I/O Description
*----------------------------------------------------------------
* F_r O - result in an array
* F_ni I - number of points in x-direction
* F_nj I - number of points in y-direction
* F_nk I - number of levels in z-direction
* F_axis I - along the x-, y- or z-axis
* 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, plalonx, plalony, plalonz
integer pnm
integer i, j, k
*
real*8 zero, one
parameter( zero = 0.0 )
parameter( one = 1.0 )
*
*
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
*
plalonx = F_axis.eq.'X'
plalony = F_axis.eq.'Y'
plalonz = F_axis.eq.'Z'
*
if ( plalonx ) pnm = F_ni
if ( plalony ) pnm = F_nj
if ( plalonz ) pnm = F_nk
*
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
*
*******************************************************************************
* *
* for solving along x direction *
* *
*******************************************************************************
if ( plalonx ) then
do j=F_nj+1,NJS
do k=1,F_nk
do i=1,NIS
F_r(1,i,j,k) = zero
enddo
enddo
enddo
*
if ( plbnd ) then
do k=1,F_nk
do j=1,NJS
F_r(1,1,j,k) = zero
F_r(1,F_ni,j,k) = zero
enddo
enddo
endif
*
call msoltri6
% ( F_r(1,1,1,1), F_r(1,1,1,1), F_bi_8, F_ci_8, F_ai_8,
% SKIP, NIS*SKIP, pnm, NJS*F_nk)
*
if ( plper ) then
do k=1,F_nk
do j=1,NJS
F_r(1,F_ni,j,k) = F_bi_8(F_ni) * F_r(1,F_ni,j,k)
% + F_ci_8(F_ni) * F_r(1,1,j,k)
% + F_ai_8(1) * F_r(1,pnm,j,k)
enddo
enddo
do i=1,pnm
do k=1,F_nk
do j=1,NJS
F_r(1,i,j,k) = F_r(1,i,j,k)
% + F_di_8(i) * F_r(1,F_ni,j,k)
enddo
enddo
enddo
endif
*
*******************************************************************************
* *
* for solving along y direction *
* *
*******************************************************************************
elseif ( plalony ) then
*
do 100 k=1,F_nk
*
do i=F_ni+1,NIS
do j=1,F_nj
F_r(1,i,j,k) = zero
enddo
enddo
*
if ( plbnd ) then
do i=1,NIS
F_r(1,i,1,k) = zero
F_r(1,i,F_nj,k) = zero
enddo
endif
*
call msoltri6
% ( F_r(1,1,1,k), F_r(1,1,1,k), F_bi_8, F_ci_8, F_ai_8,
% NIS*SKIP, SKIP, pnm, F_ni)
*
if ( plper ) then
do i=1,NIS
F_r(1,i,F_nj,k) = F_bi_8(F_nj) * F_r(1,i,F_nj,k)
% + F_ci_8(F_nj) * F_r(1,i,1,k)
% + F_ai_8(1) * F_r(1,i,pnm,k)
enddo
do j=1,pnm
do i=1,NIS
F_r(1,i,j,k) = F_r(1,i,j,k) + F_di_8(j) * F_r(1,i,F_nj,k)
enddo
enddo
endif
100 continue
*
*******************************************************************************
* *
* for solving along z direction *
* *
*******************************************************************************
elseif ( plalonz ) then
*
do i=F_ni+1,NIS
do k=1,F_nk
do j=1,F_nj
F_r(1,i,j,k) = zero
enddo
enddo
enddo
*
if ( plbnd ) then
do j=1,F_nj
do i=1,NIS
F_r(1,i,j,1) = zero
F_r(1,i,j,F_nk) = zero
enddo
enddo
endif
*
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*F_nj)
*
if ( plper ) then
do j=1,F_nj
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
do k=1,pnm
do j=1,F_nj
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
endif
endif
return
end