+++ /dev/null
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_solve
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c Performs line solves in Z direction by first factoring
-c the block-tridiagonal matrix into an upper triangular matrix,
-c and then performing back substitution to solve for the unknow
-c vectors of each line.
-c
-c Make sure we treat elements zero to cell_size in the direction
-c of the sweep.
-c---------------------------------------------------------------------
-
- include 'header.h'
- include 'mpinpb.h'
-
- integer c, kstart, stage,
- > first, last, recv_id, error, r_status(MPI_STATUS_SIZE),
- > isize,jsize,ksize,send_id
-
- kstart = 0
-
-c---------------------------------------------------------------------
-c in our terminology stage is the number of the cell in the y-direct
-c i.e. stage = 1 means the start of the line stage=ncells means end
-c---------------------------------------------------------------------
- do stage = 1,ncells
- c = slice(3,stage)
- isize = cell_size(1,c) - 1
- jsize = cell_size(2,c) - 1
- ksize = cell_size(3,c) - 1
-c---------------------------------------------------------------------
-c set last-cell flag
-c---------------------------------------------------------------------
- if (stage .eq. ncells) then
- last = 1
- else
- last = 0
- endif
-
- if (stage .eq. 1) then
-c---------------------------------------------------------------------
-c This is the first cell, so solve without receiving data
-c---------------------------------------------------------------------
- first = 1
-c call lhsz(c)
- call z_solve_cell(first,last,c)
- else
-c---------------------------------------------------------------------
-c Not the first cell of this line, so receive info from
-c processor working on preceeding cell
-c---------------------------------------------------------------------
- first = 0
- call z_receive_solve_info(recv_id,c)
-c---------------------------------------------------------------------
-c overlap computations and communications
-c---------------------------------------------------------------------
-c call lhsz(c)
-c---------------------------------------------------------------------
-c wait for completion
-c---------------------------------------------------------------------
- call mpi_wait(send_id,r_status,error)
- call mpi_wait(recv_id,r_status,error)
-c---------------------------------------------------------------------
-c install C'(kstart+1) and rhs'(kstart+1) to be used in this cell
-c---------------------------------------------------------------------
- call z_unpack_solve_info(c)
- call z_solve_cell(first,last,c)
- endif
-
- if (last .eq. 0) call z_send_solve_info(send_id,c)
- enddo
-
-c---------------------------------------------------------------------
-c now perform backsubstitution in reverse direction
-c---------------------------------------------------------------------
- do stage = ncells, 1, -1
- c = slice(3,stage)
- first = 0
- last = 0
- if (stage .eq. 1) first = 1
- if (stage .eq. ncells) then
- last = 1
-c---------------------------------------------------------------------
-c last cell, so perform back substitute without waiting
-c---------------------------------------------------------------------
- call z_backsubstitute(first, last,c)
- else
- call z_receive_backsub_info(recv_id,c)
- call mpi_wait(send_id,r_status,error)
- call mpi_wait(recv_id,r_status,error)
- call z_unpack_backsub_info(c)
- call z_backsubstitute(first,last,c)
- endif
- if (first .eq. 0) call z_send_backsub_info(send_id,c)
- enddo
-
-
- return
- end
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_unpack_solve_info(c)
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c unpack C'(-1) and rhs'(-1) for
-c all i and j
-c---------------------------------------------------------------------
-
- include 'header.h'
-
- integer i,j,m,n,ptr,c,kstart
-
- kstart = 0
- ptr = 0
- do j=0,JMAX-1
- do i=0,IMAX-1
- do m=1,BLOCK_SIZE
- do n=1,BLOCK_SIZE
- lhsc(m,n,i,j,kstart-1,c) = out_buffer(ptr+n)
- enddo
- ptr = ptr+BLOCK_SIZE
- enddo
- do n=1,BLOCK_SIZE
- rhs(n,i,j,kstart-1,c) = out_buffer(ptr+n)
- enddo
- ptr = ptr+BLOCK_SIZE
- enddo
- enddo
-
- return
- end
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_send_solve_info(send_id,c)
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c pack up and send C'(kend) and rhs'(kend) for
-c all i and j
-c---------------------------------------------------------------------
-
- include 'header.h'
- include 'mpinpb.h'
-
- integer i,j,m,n,ksize,ptr,c,ip,jp
- integer error,send_id,buffer_size
-
- ksize = cell_size(3,c)-1
- ip = cell_coord(1,c) - 1
- jp = cell_coord(2,c) - 1
- buffer_size=MAX_CELL_DIM*MAX_CELL_DIM*
- > (BLOCK_SIZE*BLOCK_SIZE + BLOCK_SIZE)
-
-c---------------------------------------------------------------------
-c pack up buffer
-c---------------------------------------------------------------------
- ptr = 0
- do j=0,JMAX-1
- do i=0,IMAX-1
- do m=1,BLOCK_SIZE
- do n=1,BLOCK_SIZE
- in_buffer(ptr+n) = lhsc(m,n,i,j,ksize,c)
- enddo
- ptr = ptr+BLOCK_SIZE
- enddo
- do n=1,BLOCK_SIZE
- in_buffer(ptr+n) = rhs(n,i,j,ksize,c)
- enddo
- ptr = ptr+BLOCK_SIZE
- enddo
- enddo
-
-c---------------------------------------------------------------------
-c send buffer
-c---------------------------------------------------------------------
- call mpi_isend(in_buffer, buffer_size,
- > dp_type, successor(3),
- > BOTTOM+ip+jp*NCELLS, comm_solve,
- > send_id,error)
-
- return
- end
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_send_backsub_info(send_id,c)
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c pack up and send U(jstart) for all i and j
-c---------------------------------------------------------------------
-
- include 'header.h'
- include 'mpinpb.h'
-
- integer i,j,n,ptr,c,kstart,ip,jp
- integer error,send_id,buffer_size
-
-c---------------------------------------------------------------------
-c Send element 0 to previous processor
-c---------------------------------------------------------------------
- kstart = 0
- ip = cell_coord(1,c)-1
- jp = cell_coord(2,c)-1
- buffer_size=MAX_CELL_DIM*MAX_CELL_DIM*BLOCK_SIZE
- ptr = 0
- do j=0,JMAX-1
- do i=0,IMAX-1
- do n=1,BLOCK_SIZE
- in_buffer(ptr+n) = rhs(n,i,j,kstart,c)
- enddo
- ptr = ptr+BLOCK_SIZE
- enddo
- enddo
-
- call mpi_isend(in_buffer, buffer_size,
- > dp_type, predecessor(3),
- > TOP+ip+jp*NCELLS, comm_solve,
- > send_id,error)
-
- return
- end
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_unpack_backsub_info(c)
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c unpack U(ksize) for all i and j
-c---------------------------------------------------------------------
-
- include 'header.h'
-
- integer i,j,n,ptr,c
-
- ptr = 0
- do j=0,JMAX-1
- do i=0,IMAX-1
- do n=1,BLOCK_SIZE
- backsub_info(n,i,j,c) = out_buffer(ptr+n)
- enddo
- ptr = ptr+BLOCK_SIZE
- enddo
- enddo
-
- return
- end
-
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_receive_backsub_info(recv_id,c)
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c post mpi receives
-c---------------------------------------------------------------------
-
- include 'header.h'
- include 'mpinpb.h'
-
- integer error,recv_id,ip,jp,c,buffer_size
- ip = cell_coord(1,c) - 1
- jp = cell_coord(2,c) - 1
- buffer_size=MAX_CELL_DIM*MAX_CELL_DIM*BLOCK_SIZE
- call mpi_irecv(out_buffer, buffer_size,
- > dp_type, successor(3),
- > TOP+ip+jp*NCELLS, comm_solve,
- > recv_id, error)
-
- return
- end
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_receive_solve_info(recv_id,c)
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c post mpi receives
-c---------------------------------------------------------------------
-
- include 'header.h'
- include 'mpinpb.h'
-
- integer ip,jp,recv_id,error,c,buffer_size
- ip = cell_coord(1,c) - 1
- jp = cell_coord(2,c) - 1
- buffer_size=MAX_CELL_DIM*MAX_CELL_DIM*
- > (BLOCK_SIZE*BLOCK_SIZE + BLOCK_SIZE)
- call mpi_irecv(out_buffer, buffer_size,
- > dp_type, predecessor(3),
- > BOTTOM+ip+jp*NCELLS, comm_solve,
- > recv_id, error)
-
- return
- end
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_backsubstitute(first, last, c)
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c back solve: if last cell, then generate U(ksize)=rhs(ksize)
-c else assume U(ksize) is loaded in un pack backsub_info
-c so just use it
-c after call u(kstart) will be sent to next cell
-c---------------------------------------------------------------------
-
- include 'header.h'
-
- integer first, last, c, i, k
- integer m,n,j,jsize,isize,ksize,kstart
-
- kstart = 0
- isize = cell_size(1,c)-end(1,c)-1
- jsize = cell_size(2,c)-end(2,c)-1
- ksize = cell_size(3,c)-1
- if (last .eq. 0) then
- do j=start(2,c),jsize
- do i=start(1,c),isize
-c---------------------------------------------------------------------
-c U(jsize) uses info from previous cell if not last cell
-c---------------------------------------------------------------------
- do m=1,BLOCK_SIZE
- do n=1,BLOCK_SIZE
- rhs(m,i,j,ksize,c) = rhs(m,i,j,ksize,c)
- > - lhsc(m,n,i,j,ksize,c)*
- > backsub_info(n,i,j,c)
- enddo
- enddo
- enddo
- enddo
- endif
- do k=ksize-1,kstart,-1
- do j=start(2,c),jsize
- do i=start(1,c),isize
- do m=1,BLOCK_SIZE
- do n=1,BLOCK_SIZE
- rhs(m,i,j,k,c) = rhs(m,i,j,k,c)
- > - lhsc(m,n,i,j,k,c)*rhs(n,i,j,k+1,c)
- enddo
- enddo
- enddo
- enddo
- enddo
-
- return
- end
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
- subroutine z_solve_cell(first,last,c)
-
-c---------------------------------------------------------------------
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c performs guaussian elimination on this cell.
-c
-c assumes that unpacking routines for non-first cells
-c preload C' and rhs' from previous cell.
-c
-c assumed send happens outside this routine, but that
-c c'(KMAX) and rhs'(KMAX) will be sent to next cell.
-c---------------------------------------------------------------------
-
- include 'header.h'
- include 'work_lhs_vec.h'
-
- integer first,last,c
- integer i,j,k,m,n,isize,ksize,jsize,kstart
-
- kstart = 0
- isize = cell_size(1,c)-end(1,c)-1
- jsize = cell_size(2,c)-end(2,c)-1
- ksize = cell_size(3,c)-1
-
-c---------------------------------------------------------------------
-c zero the left hand side for starters
-c set diagonal values to 1. This is overkill, but convenient
-c---------------------------------------------------------------------
- do i = 0, isize
- do m = 1, 5
- do n = 1, 5
- lhsa(m,n,i,0) = 0.0d0
- lhsb(m,n,i,0) = 0.0d0
- lhsa(m,n,i,ksize) = 0.0d0
- lhsb(m,n,i,ksize) = 0.0d0
- enddo
- lhsb(m,m,i,0) = 1.0d0
- lhsb(m,m,i,ksize) = 1.0d0
- enddo
- enddo
-
- do j=start(2,c),jsize
-
-c---------------------------------------------------------------------
-c This function computes the left hand side for the three z-factors
-c---------------------------------------------------------------------
-
-c---------------------------------------------------------------------
-c Compute the indices for storing the block-diagonal matrix;
-c determine c (labeled f) and s jacobians for cell c
-c---------------------------------------------------------------------
-
- do k = start(3,c)-1, cell_size(3,c)-end(3,c)
- do i=start(1,c),isize
-
- tmp1 = 1.0d0 / u(1,i,j,k,c)
- tmp2 = tmp1 * tmp1
- tmp3 = tmp1 * tmp2
-
- fjac(1,1,i,k) = 0.0d+00
- fjac(1,2,i,k) = 0.0d+00
- fjac(1,3,i,k) = 0.0d+00
- fjac(1,4,i,k) = 1.0d+00
- fjac(1,5,i,k) = 0.0d+00
-
- fjac(2,1,i,k) = - ( u(2,i,j,k,c)*u(4,i,j,k,c) )
- > * tmp2
- fjac(2,2,i,k) = u(4,i,j,k,c) * tmp1
- fjac(2,3,i,k) = 0.0d+00
- fjac(2,4,i,k) = u(2,i,j,k,c) * tmp1
- fjac(2,5,i,k) = 0.0d+00
-
- fjac(3,1,i,k) = - ( u(3,i,j,k,c)*u(4,i,j,k,c) )
- > * tmp2
- fjac(3,2,i,k) = 0.0d+00
- fjac(3,3,i,k) = u(4,i,j,k,c) * tmp1
- fjac(3,4,i,k) = u(3,i,j,k,c) * tmp1
- fjac(3,5,i,k) = 0.0d+00
-
- fjac(4,1,i,k) = - (u(4,i,j,k,c)*u(4,i,j,k,c) * tmp2 )
- > + c2 * qs(i,j,k,c)
- fjac(4,2,i,k) = - c2 * u(2,i,j,k,c) * tmp1
- fjac(4,3,i,k) = - c2 * u(3,i,j,k,c) * tmp1
- fjac(4,4,i,k) = ( 2.0d+00 - c2 )
- > * u(4,i,j,k,c) * tmp1
- fjac(4,5,i,k) = c2
-
- fjac(5,1,i,k) = ( c2 * 2.0d0 * qs(i,j,k,c)
- > - c1 * ( u(5,i,j,k,c) * tmp1 ) )
- > * ( u(4,i,j,k,c) * tmp1 )
- fjac(5,2,i,k) = - c2 * ( u(2,i,j,k,c)*u(4,i,j,k,c) )
- > * tmp2
- fjac(5,3,i,k) = - c2 * ( u(3,i,j,k,c)*u(4,i,j,k,c) )
- > * tmp2
- fjac(5,4,i,k) = c1 * ( u(5,i,j,k,c) * tmp1 )
- > - c2 * ( qs(i,j,k,c)
- > + u(4,i,j,k,c)*u(4,i,j,k,c) * tmp2 )
- fjac(5,5,i,k) = c1 * u(4,i,j,k,c) * tmp1
-
- njac(1,1,i,k) = 0.0d+00
- njac(1,2,i,k) = 0.0d+00
- njac(1,3,i,k) = 0.0d+00
- njac(1,4,i,k) = 0.0d+00
- njac(1,5,i,k) = 0.0d+00
-
- njac(2,1,i,k) = - c3c4 * tmp2 * u(2,i,j,k,c)
- njac(2,2,i,k) = c3c4 * tmp1
- njac(2,3,i,k) = 0.0d+00
- njac(2,4,i,k) = 0.0d+00
- njac(2,5,i,k) = 0.0d+00
-
- njac(3,1,i,k) = - c3c4 * tmp2 * u(3,i,j,k,c)
- njac(3,2,i,k) = 0.0d+00
- njac(3,3,i,k) = c3c4 * tmp1
- njac(3,4,i,k) = 0.0d+00
- njac(3,5,i,k) = 0.0d+00
-
- njac(4,1,i,k) = - con43 * c3c4 * tmp2 * u(4,i,j,k,c)
- njac(4,2,i,k) = 0.0d+00
- njac(4,3,i,k) = 0.0d+00
- njac(4,4,i,k) = con43 * c3 * c4 * tmp1
- njac(4,5,i,k) = 0.0d+00
-
- njac(5,1,i,k) = - ( c3c4
- > - c1345 ) * tmp3 * (u(2,i,j,k,c)**2)
- > - ( c3c4 - c1345 ) * tmp3 * (u(3,i,j,k,c)**2)
- > - ( con43 * c3c4
- > - c1345 ) * tmp3 * (u(4,i,j,k,c)**2)
- > - c1345 * tmp2 * u(5,i,j,k,c)
-
- njac(5,2,i,k) = ( c3c4 - c1345 ) * tmp2 * u(2,i,j,k,c)
- njac(5,3,i,k) = ( c3c4 - c1345 ) * tmp2 * u(3,i,j,k,c)
- njac(5,4,i,k) = ( con43 * c3c4
- > - c1345 ) * tmp2 * u(4,i,j,k,c)
- njac(5,5,i,k) = ( c1345 )* tmp1
-
-
- enddo
- enddo
-
-c---------------------------------------------------------------------
-c now joacobians set, so form left hand side in z direction
-c---------------------------------------------------------------------
- do k = start(3,c), ksize-end(3,c)
- do i=start(1,c),isize
-
- tmp1 = dt * tz1
- tmp2 = dt * tz2
-
- lhsa(1,1,i,k) = - tmp2 * fjac(1,1,i,k-1)
- > - tmp1 * njac(1,1,i,k-1)
- > - tmp1 * dz1
- lhsa(1,2,i,k) = - tmp2 * fjac(1,2,i,k-1)
- > - tmp1 * njac(1,2,i,k-1)
- lhsa(1,3,i,k) = - tmp2 * fjac(1,3,i,k-1)
- > - tmp1 * njac(1,3,i,k-1)
- lhsa(1,4,i,k) = - tmp2 * fjac(1,4,i,k-1)
- > - tmp1 * njac(1,4,i,k-1)
- lhsa(1,5,i,k) = - tmp2 * fjac(1,5,i,k-1)
- > - tmp1 * njac(1,5,i,k-1)
-
- lhsa(2,1,i,k) = - tmp2 * fjac(2,1,i,k-1)
- > - tmp1 * njac(2,1,i,k-1)
- lhsa(2,2,i,k) = - tmp2 * fjac(2,2,i,k-1)
- > - tmp1 * njac(2,2,i,k-1)
- > - tmp1 * dz2
- lhsa(2,3,i,k) = - tmp2 * fjac(2,3,i,k-1)
- > - tmp1 * njac(2,3,i,k-1)
- lhsa(2,4,i,k) = - tmp2 * fjac(2,4,i,k-1)
- > - tmp1 * njac(2,4,i,k-1)
- lhsa(2,5,i,k) = - tmp2 * fjac(2,5,i,k-1)
- > - tmp1 * njac(2,5,i,k-1)
-
- lhsa(3,1,i,k) = - tmp2 * fjac(3,1,i,k-1)
- > - tmp1 * njac(3,1,i,k-1)
- lhsa(3,2,i,k) = - tmp2 * fjac(3,2,i,k-1)
- > - tmp1 * njac(3,2,i,k-1)
- lhsa(3,3,i,k) = - tmp2 * fjac(3,3,i,k-1)
- > - tmp1 * njac(3,3,i,k-1)
- > - tmp1 * dz3
- lhsa(3,4,i,k) = - tmp2 * fjac(3,4,i,k-1)
- > - tmp1 * njac(3,4,i,k-1)
- lhsa(3,5,i,k) = - tmp2 * fjac(3,5,i,k-1)
- > - tmp1 * njac(3,5,i,k-1)
-
- lhsa(4,1,i,k) = - tmp2 * fjac(4,1,i,k-1)
- > - tmp1 * njac(4,1,i,k-1)
- lhsa(4,2,i,k) = - tmp2 * fjac(4,2,i,k-1)
- > - tmp1 * njac(4,2,i,k-1)
- lhsa(4,3,i,k) = - tmp2 * fjac(4,3,i,k-1)
- > - tmp1 * njac(4,3,i,k-1)
- lhsa(4,4,i,k) = - tmp2 * fjac(4,4,i,k-1)
- > - tmp1 * njac(4,4,i,k-1)
- > - tmp1 * dz4
- lhsa(4,5,i,k) = - tmp2 * fjac(4,5,i,k-1)
- > - tmp1 * njac(4,5,i,k-1)
-
- lhsa(5,1,i,k) = - tmp2 * fjac(5,1,i,k-1)
- > - tmp1 * njac(5,1,i,k-1)
- lhsa(5,2,i,k) = - tmp2 * fjac(5,2,i,k-1)
- > - tmp1 * njac(5,2,i,k-1)
- lhsa(5,3,i,k) = - tmp2 * fjac(5,3,i,k-1)
- > - tmp1 * njac(5,3,i,k-1)
- lhsa(5,4,i,k) = - tmp2 * fjac(5,4,i,k-1)
- > - tmp1 * njac(5,4,i,k-1)
- lhsa(5,5,i,k) = - tmp2 * fjac(5,5,i,k-1)
- > - tmp1 * njac(5,5,i,k-1)
- > - tmp1 * dz5
-
- lhsb(1,1,i,k) = 1.0d+00
- > + tmp1 * 2.0d+00 * njac(1,1,i,k)
- > + tmp1 * 2.0d+00 * dz1
- lhsb(1,2,i,k) = tmp1 * 2.0d+00 * njac(1,2,i,k)
- lhsb(1,3,i,k) = tmp1 * 2.0d+00 * njac(1,3,i,k)
- lhsb(1,4,i,k) = tmp1 * 2.0d+00 * njac(1,4,i,k)
- lhsb(1,5,i,k) = tmp1 * 2.0d+00 * njac(1,5,i,k)
-
- lhsb(2,1,i,k) = tmp1 * 2.0d+00 * njac(2,1,i,k)
- lhsb(2,2,i,k) = 1.0d+00
- > + tmp1 * 2.0d+00 * njac(2,2,i,k)
- > + tmp1 * 2.0d+00 * dz2
- lhsb(2,3,i,k) = tmp1 * 2.0d+00 * njac(2,3,i,k)
- lhsb(2,4,i,k) = tmp1 * 2.0d+00 * njac(2,4,i,k)
- lhsb(2,5,i,k) = tmp1 * 2.0d+00 * njac(2,5,i,k)
-
- lhsb(3,1,i,k) = tmp1 * 2.0d+00 * njac(3,1,i,k)
- lhsb(3,2,i,k) = tmp1 * 2.0d+00 * njac(3,2,i,k)
- lhsb(3,3,i,k) = 1.0d+00
- > + tmp1 * 2.0d+00 * njac(3,3,i,k)
- > + tmp1 * 2.0d+00 * dz3
- lhsb(3,4,i,k) = tmp1 * 2.0d+00 * njac(3,4,i,k)
- lhsb(3,5,i,k) = tmp1 * 2.0d+00 * njac(3,5,i,k)
-
- lhsb(4,1,i,k) = tmp1 * 2.0d+00 * njac(4,1,i,k)
- lhsb(4,2,i,k) = tmp1 * 2.0d+00 * njac(4,2,i,k)
- lhsb(4,3,i,k) = tmp1 * 2.0d+00 * njac(4,3,i,k)
- lhsb(4,4,i,k) = 1.0d+00
- > + tmp1 * 2.0d+00 * njac(4,4,i,k)
- > + tmp1 * 2.0d+00 * dz4
- lhsb(4,5,i,k) = tmp1 * 2.0d+00 * njac(4,5,i,k)
-
- lhsb(5,1,i,k) = tmp1 * 2.0d+00 * njac(5,1,i,k)
- lhsb(5,2,i,k) = tmp1 * 2.0d+00 * njac(5,2,i,k)
- lhsb(5,3,i,k) = tmp1 * 2.0d+00 * njac(5,3,i,k)
- lhsb(5,4,i,k) = tmp1 * 2.0d+00 * njac(5,4,i,k)
- lhsb(5,5,i,k) = 1.0d+00
- > + tmp1 * 2.0d+00 * njac(5,5,i,k)
- > + tmp1 * 2.0d+00 * dz5
-
- lhsc(1,1,i,j,k,c) = tmp2 * fjac(1,1,i,k+1)
- > - tmp1 * njac(1,1,i,k+1)
- > - tmp1 * dz1
- lhsc(1,2,i,j,k,c) = tmp2 * fjac(1,2,i,k+1)
- > - tmp1 * njac(1,2,i,k+1)
- lhsc(1,3,i,j,k,c) = tmp2 * fjac(1,3,i,k+1)
- > - tmp1 * njac(1,3,i,k+1)
- lhsc(1,4,i,j,k,c) = tmp2 * fjac(1,4,i,k+1)
- > - tmp1 * njac(1,4,i,k+1)
- lhsc(1,5,i,j,k,c) = tmp2 * fjac(1,5,i,k+1)
- > - tmp1 * njac(1,5,i,k+1)
-
- lhsc(2,1,i,j,k,c) = tmp2 * fjac(2,1,i,k+1)
- > - tmp1 * njac(2,1,i,k+1)
- lhsc(2,2,i,j,k,c) = tmp2 * fjac(2,2,i,k+1)
- > - tmp1 * njac(2,2,i,k+1)
- > - tmp1 * dz2
- lhsc(2,3,i,j,k,c) = tmp2 * fjac(2,3,i,k+1)
- > - tmp1 * njac(2,3,i,k+1)
- lhsc(2,4,i,j,k,c) = tmp2 * fjac(2,4,i,k+1)
- > - tmp1 * njac(2,4,i,k+1)
- lhsc(2,5,i,j,k,c) = tmp2 * fjac(2,5,i,k+1)
- > - tmp1 * njac(2,5,i,k+1)
-
- lhsc(3,1,i,j,k,c) = tmp2 * fjac(3,1,i,k+1)
- > - tmp1 * njac(3,1,i,k+1)
- lhsc(3,2,i,j,k,c) = tmp2 * fjac(3,2,i,k+1)
- > - tmp1 * njac(3,2,i,k+1)
- lhsc(3,3,i,j,k,c) = tmp2 * fjac(3,3,i,k+1)
- > - tmp1 * njac(3,3,i,k+1)
- > - tmp1 * dz3
- lhsc(3,4,i,j,k,c) = tmp2 * fjac(3,4,i,k+1)
- > - tmp1 * njac(3,4,i,k+1)
- lhsc(3,5,i,j,k,c) = tmp2 * fjac(3,5,i,k+1)
- > - tmp1 * njac(3,5,i,k+1)
-
- lhsc(4,1,i,j,k,c) = tmp2 * fjac(4,1,i,k+1)
- > - tmp1 * njac(4,1,i,k+1)
- lhsc(4,2,i,j,k,c) = tmp2 * fjac(4,2,i,k+1)
- > - tmp1 * njac(4,2,i,k+1)
- lhsc(4,3,i,j,k,c) = tmp2 * fjac(4,3,i,k+1)
- > - tmp1 * njac(4,3,i,k+1)
- lhsc(4,4,i,j,k,c) = tmp2 * fjac(4,4,i,k+1)
- > - tmp1 * njac(4,4,i,k+1)
- > - tmp1 * dz4
- lhsc(4,5,i,j,k,c) = tmp2 * fjac(4,5,i,k+1)
- > - tmp1 * njac(4,5,i,k+1)
-
- lhsc(5,1,i,j,k,c) = tmp2 * fjac(5,1,i,k+1)
- > - tmp1 * njac(5,1,i,k+1)
- lhsc(5,2,i,j,k,c) = tmp2 * fjac(5,2,i,k+1)
- > - tmp1 * njac(5,2,i,k+1)
- lhsc(5,3,i,j,k,c) = tmp2 * fjac(5,3,i,k+1)
- > - tmp1 * njac(5,3,i,k+1)
- lhsc(5,4,i,j,k,c) = tmp2 * fjac(5,4,i,k+1)
- > - tmp1 * njac(5,4,i,k+1)
- lhsc(5,5,i,j,k,c) = tmp2 * fjac(5,5,i,k+1)
- > - tmp1 * njac(5,5,i,k+1)
- > - tmp1 * dz5
-
- enddo
- enddo
-
-
-c---------------------------------------------------------------------
-c outer most do loops - sweeping in i direction
-c---------------------------------------------------------------------
- if (first .eq. 1) then
-
-c---------------------------------------------------------------------
-c multiply c(i,j,kstart) by b_inverse and copy back to c
-c multiply rhs(kstart) by b_inverse(kstart) and copy to rhs
-c---------------------------------------------------------------------
-!dir$ ivdep
- do i=start(1,c),isize
- call binvcrhs( lhsb(1,1,i,kstart),
- > lhsc(1,1,i,j,kstart,c),
- > rhs(1,i,j,kstart,c) )
- enddo
-
- endif
-
-c---------------------------------------------------------------------
-c begin inner most do loop
-c do all the elements of the cell unless last
-c---------------------------------------------------------------------
- do k=kstart+first,ksize-last
-!dir$ ivdep
- do i=start(1,c),isize
-
-c---------------------------------------------------------------------
-c subtract A*lhs_vector(k-1) from lhs_vector(k)
-c
-c rhs(k) = rhs(k) - A*rhs(k-1)
-c---------------------------------------------------------------------
- call matvec_sub(lhsa(1,1,i,k),
- > rhs(1,i,j,k-1,c),rhs(1,i,j,k,c))
-
-c---------------------------------------------------------------------
-c B(k) = B(k) - C(k-1)*A(k)
-c call matmul_sub(aa,i,j,k,c,cc,i,j,k-1,c,bb,i,j,k,c)
-c---------------------------------------------------------------------
- call matmul_sub(lhsa(1,1,i,k),
- > lhsc(1,1,i,j,k-1,c),
- > lhsb(1,1,i,k))
-
-c---------------------------------------------------------------------
-c multiply c(i,j,k) by b_inverse and copy back to c
-c multiply rhs(i,j,1) by b_inverse(i,j,1) and copy to rhs
-c---------------------------------------------------------------------
- call binvcrhs( lhsb(1,1,i,k),
- > lhsc(1,1,i,j,k,c),
- > rhs(1,i,j,k,c) )
-
- enddo
- enddo
-
-c---------------------------------------------------------------------
-c Now finish up special cases for last cell
-c---------------------------------------------------------------------
- if (last .eq. 1) then
-
-!dir$ ivdep
- do i=start(1,c),isize
-c---------------------------------------------------------------------
-c rhs(ksize) = rhs(ksize) - A*rhs(ksize-1)
-c---------------------------------------------------------------------
- call matvec_sub(lhsa(1,1,i,ksize),
- > rhs(1,i,j,ksize-1,c),rhs(1,i,j,ksize,c))
-
-c---------------------------------------------------------------------
-c B(ksize) = B(ksize) - C(ksize-1)*A(ksize)
-c call matmul_sub(aa,i,j,ksize,c,
-c $ cc,i,j,ksize-1,c,bb,i,j,ksize,c)
-c---------------------------------------------------------------------
- call matmul_sub(lhsa(1,1,i,ksize),
- > lhsc(1,1,i,j,ksize-1,c),
- > lhsb(1,1,i,ksize))
-
-c---------------------------------------------------------------------
-c multiply rhs(ksize) by b_inverse(ksize) and copy to rhs
-c---------------------------------------------------------------------
- call binvrhs( lhsb(1,1,i,ksize),
- > rhs(1,i,j,ksize,c) )
- enddo
-
- endif
- enddo
-
-
- return
- end
-
-
-
-
-
-
