blob: 08ea0bc24d484e59e6aecf72850be64f4eab0f73 [file] [log] [blame]
c---------------------------------------------------------------------
c---------------------------------------------------------------------
subroutine lhsz(c)
c---------------------------------------------------------------------
c---------------------------------------------------------------------
c---------------------------------------------------------------------
c This function computes the left hand side for the three z-factors
c---------------------------------------------------------------------
include 'header.h'
double precision ru1
integer i, j, k, c
c---------------------------------------------------------------------
c treat only cell c
c---------------------------------------------------------------------
c---------------------------------------------------------------------
c first fill the lhs for the u-eigenvalue
c---------------------------------------------------------------------
do j = start(2,c), cell_size(2,c)-end(2,c)-1
do i = start(1,c), cell_size(1,c)-end(1,c)-1
do k = start(3,c)-1, cell_size(3,c)-end(3,c)
ru1 = c3c4*rho_i(i,j,k,c)
cv(k) = ws(i,j,k,c)
rhos(k) = dmax1(dz4 + con43 * ru1,
> dz5 + c1c5 * ru1,
> dzmax + ru1,
> dz1)
end do
do k = start(3,c), cell_size(3,c)-end(3,c)-1
lhs(i,j,k,1,c) = 0.0d0
lhs(i,j,k,2,c) = -dttz2 * cv(k-1) - dttz1 * rhos(k-1)
lhs(i,j,k,3,c) = 1.0 + c2dttz1 * rhos(k)
lhs(i,j,k,4,c) = dttz2 * cv(k+1) - dttz1 * rhos(k+1)
lhs(i,j,k,5,c) = 0.0d0
end do
end do
end do
c---------------------------------------------------------------------
c add fourth order dissipation
c---------------------------------------------------------------------
if (start(3,c) .gt. 0) then
k = 1
do j = start(2,c), cell_size(2,c)-end(2,c)-1
do i = start(1,c), cell_size(1,c)-end(1,c)-1
lhs(i,j,k,3,c) = lhs(i,j,k,3,c) + comz5
lhs(i,j,k,4,c) = lhs(i,j,k,4,c) - comz4
lhs(i,j,k,5,c) = lhs(i,j,k,5,c) + comz1
lhs(i,j,k+1,2,c) = lhs(i,j,k+1,2,c) - comz4
lhs(i,j,k+1,3,c) = lhs(i,j,k+1,3,c) + comz6
lhs(i,j,k+1,4,c) = lhs(i,j,k+1,4,c) - comz4
lhs(i,j,k+1,5,c) = lhs(i,j,k+1,5,c) + comz1
end do
end do
endif
do k = 3*start(3,c), cell_size(3,c)-3*end(3,c)-1
do j = start(2,c), cell_size(2,c)-end(2,c)-1
do i = start(1,c), cell_size(1,c)-end(1,c)-1
lhs(i,j,k,1,c) = lhs(i,j,k,1,c) + comz1
lhs(i,j,k,2,c) = lhs(i,j,k,2,c) - comz4
lhs(i,j,k,3,c) = lhs(i,j,k,3,c) + comz6
lhs(i,j,k,4,c) = lhs(i,j,k,4,c) - comz4
lhs(i,j,k,5,c) = lhs(i,j,k,5,c) + comz1
end do
end do
end do
if (end(3,c) .gt. 0) then
k = cell_size(3,c)-3
do j = start(2,c), cell_size(2,c)-end(2,c)-1
do i = start(1,c), cell_size(1,c)-end(1,c)-1
lhs(i,j,k,1,c) = lhs(i,j,k,1,c) + comz1
lhs(i,j,k,2,c) = lhs(i,j,k,2,c) - comz4
lhs(i,j,k,3,c) = lhs(i,j,k,3,c) + comz6
lhs(i,j,k,4,c) = lhs(i,j,k,4,c) - comz4
lhs(i,j,k+1,1,c) = lhs(i,j,k+1,1,c) + comz1
lhs(i,j,k+1,2,c) = lhs(i,j,k+1,2,c) - comz4
lhs(i,j,k+1,3,c) = lhs(i,j,k+1,3,c) + comz5
end do
end do
endif
c---------------------------------------------------------------------
c subsequently, fill the other factors (u+c), (u-c)
c---------------------------------------------------------------------
do k = start(3,c), cell_size(3,c)-end(3,c)-1
do j = start(2,c), cell_size(2,c)-end(2,c)-1
do i = start(1,c), cell_size(1,c)-end(1,c)-1
lhs(i,j,k,1+5,c) = lhs(i,j,k,1,c)
lhs(i,j,k,2+5,c) = lhs(i,j,k,2,c) -
> dttz2 * speed(i,j,k-1,c)
lhs(i,j,k,3+5,c) = lhs(i,j,k,3,c)
lhs(i,j,k,4+5,c) = lhs(i,j,k,4,c) +
> dttz2 * speed(i,j,k+1,c)
lhs(i,j,k,5+5,c) = lhs(i,j,k,5,c)
lhs(i,j,k,1+10,c) = lhs(i,j,k,1,c)
lhs(i,j,k,2+10,c) = lhs(i,j,k,2,c) +
> dttz2 * speed(i,j,k-1,c)
lhs(i,j,k,3+10,c) = lhs(i,j,k,3,c)
lhs(i,j,k,4+10,c) = lhs(i,j,k,4,c) -
> dttz2 * speed(i,j,k+1,c)
lhs(i,j,k,5+10,c) = lhs(i,j,k,5,c)
end do
end do
end do
return
end