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boundary.f90
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module boundary
use constant
use declaration
implicit none
contains
subroutine zero_extrapolation(istart, iend, jstart, jend, bside)
implicit none
integer(i32), intent(in) :: istart, iend, jstart, jend, bside
integer(i32) :: i, j
select case (bside)
case(1)
do j = jstart, jend
do i = istart, iend
rho(i, j) = rho(i, gc+1)
u(i, j) = u(i, gc+1)
v(i, j) = v(i, gc+1)
p(i, j) = p(i, gc+1)
t(i, j) = t(i, gc+1)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(2)
do j = jstart, jend
do i = istart, iend
rho(i, j) = rho(nx-gc, j)
u(i, j) = abs(u(nx-gc, j))
v(i, j) = v(nx-gc, j)
p(i, j) = p(nx-gc, j)
t(i, j) = t(nx-gc, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(3)
do j = jstart, jend
do i = istart, iend
rho(i, j) = rho(i, ny-gc)
u(i, j) = u(i, ny-gc)
v(i, j) = v(i, ny-gc)
p(i, j) = p(i, ny-gc)
t(i, j) = t(i, ny-gc)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(4)
do j = jstart, jend
do i = istart, iend
rho(i, j) = rho(gc+1, j)
u(i, j) = u(gc+1, j)
v(i, j) = v(gc+1, j)
p(i, j) = p(gc+1, j)
t(i, j) = t(gc+1, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
end select
end subroutine zero_extrapolation
subroutine symmetry(istart, iend, jstart, jend, bside)
implicit none
integer(i32), intent(in) :: istart, iend, jstart, jend, bside
real(prec) :: dxlen, dylen, dlen, normalx, normaly, un, ut
integer(i32) :: i, j
select case (bside)
case(1)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(i+1, gc+1) + x(i, gc+1))
dylen = (y(i+1, gc+1) - y(i, gc+1))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(i, gc+1)
u(i, j) = u(i, gc+1)
v(i, j) = v(i, gc+1)
p(i, j) = p(i, gc+1)
t(i, j) = t(i, gc+1)
un = u(i, j)*normalx + v(i, j)*normaly
ut = v(i, j)*normalx - u(i, j)*normaly
un = -un
ut = ut
u(i, j) = un*normalx - ut*normaly
v(i, j) = ut*normalx + un*normaly
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(2)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(nx-gc, j) + x(nx-gc, j+1))
dylen = (y(nx-gc, j) - y(nx-gc, j+1))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(nx-gc, j)
u(i, j) = u(nx-gc, j)
v(i, j) = v(nx-gc, j)
p(i, j) = p(nx-gc, j)
t(i, j) = t(nx-gc, j)
un = u(i, j)*normalx + v(i, j)*normaly
ut = v(i, j)*normalx - u(i, j)*normaly
un = -un
ut = ut
u(i, j) = un*normalx - ut*normaly
v(i, j) = ut*normalx + un*normaly
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(3)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(i, ny-gc) + x(i+1, ny-gc))
dylen = (y(i, ny-gc) - y(i+1, ny-gc))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(i, ny-gc)
u(i, j) = u(i, ny-gc)
v(i, j) = v(i, ny-gc)
p(i, j) = p(i, ny-gc)
t(i, j) = t(i, ny-gc)
un = u(i, j)*normalx + v(i, j)*normaly
ut = v(i, j)*normalx - u(i, j)*normaly
un = -un
ut = ut
u(i, j) = un*normalx - ut*normaly
v(i, j) = ut*normalx + un*normaly
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(4)
do j = jstart, jend
do i = istart, iend
dxlen = -(x(gc+1, j) - x(gc+1, j+1))
dylen = y(gc+1, j) - y(gc+1, j+1)
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(gc+1, j)
u(i, j) = u(gc+1, j)
v(i, j) = v(gc+1, j)
p(i, j) = p(gc+1, j)
t(i, j) = t(gc+1, j)
un = u(i, j)*normalx + v(i, j)*normaly
ut = v(i, j)*normalx - u(i, j)*normaly
un = -un
ut = ut
u(i, j) = un*normalx - ut*normaly
v(i, j) = ut*normalx + un*normaly
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
end select
end subroutine symmetry
subroutine wallboundary(istart, iend, jstart, jend, bside)
implicit none
integer(i32), intent(in) :: istart, iend, jstart, jend, bside
real(prec) :: dxlen, dylen, dlen, normalx, normaly, un, ut
integer(i32) :: i, j
select case (bside)
case(1)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(i+1, gc+1) + x(i, gc+1))
dylen = (y(i+1, gc+1) - y(i, gc+1))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(i, gc+1)
u(i, j) = -u(i, gc+1)
v(i, j) = -v(i, gc+1)
p(i, j) = p(i, gc+1)
t(i, j) = two*288.16_prec - t(i, gc+1)
! t(i, j) = t(i, gc+1)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(2)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(nx-gc, j) + x(nx-gc, j+1))
dylen = (y(nx-gc, j) - y(nx-gc, j+1))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(nx-gc, j)
u(i, j) = -u(nx-gc, j)
v(i, j) = -v(nx-gc, j)
p(i, j) = p(nx-gc, j)
t(i, j) = t(nx-gc, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(3)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(i, ny-gc) + x(i+1, ny-gc))
dylen = (y(i, ny-gc) - y(i+1, ny-gc))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(i, ny-gc)
u(i, j) = -u(i, ny-gc)
v(i, j) = -v(i, ny-gc)
p(i, j) = p(i, ny-gc)
t(i, j) = t(i, ny-gc)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(4)
do j = jstart, jend
do i = istart, iend
dxlen = -(x(gc+1, j) - x(gc+1, j+1))
dylen = y(gc+1, j) - y(gc+1, j+1)
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(gc+1, j)
u(i, j) = -u(gc+1, j)
v(i, j) = -v(gc+1, j)
p(i, j) = p(gc+1, j)
t(i, j) = t(gc+1, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
end select
end subroutine wallboundary
subroutine supersonic_inflow(istart, iend, jstart, jend, bside, rin, uin, vin, pin)
implicit none
integer(i32), intent(in) :: istart, iend, jstart, jend, bside
real(prec), intent(in) :: rin, uin, vin, pin
integer(i32) :: i, j
do j = jstart, jend
do i = istart, iend
rho(i, j) = rin
u(i, j) = uin
v(i, j) = vin
p(i, j) = pin
t(i, j) = pin/(r*rin)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
end subroutine supersonic_inflow
subroutine pressure_oulet(istart, iend, jstart, jend, bside)
implicit none
integer(i32) :: istart, iend, jstart, jend, bside
real(prec) :: dxlen, dylen, dlen, normalx, normaly
integer(i32) :: i, j
real(prec) :: pdom, rdom, udom, vdom, cref, rref, m, qn
real(prec) :: pamb, uamb, vamb, ramb
select case (bside)
case(1)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(i+1, gc+1) + x(i, gc+1))
dylen = (y(i+1, gc+1) - y(i, gc+1))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(i, gc+1)
u(i, j) = u(i, gc+1)
v(i, j) = v(i, gc+1)
p(i, j) = p(i, gc+1)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
pdom = p(i, j)
rdom = rho(i, j)
vdom = v(i, j)
udom = u(i, j)
rref = rho(i, j)
cref = c(i,j)
m = dsqrt(u(i,j)**2 + v(i,j)**2)/c(i,j)
qn = u(i,j)*normalx*dlen + v(i,j)*normaly*dlen
if (m < one) then
if(qn < zero) then
p(i,j) = half*(pdom + pamb - rref*cref*(normalx*(uamb -udom) + normaly*(vamb - vdom)))
rho(i,j) = ramb + (p(i,j) - pamb)/cref**2
u(i,j) = uamb - normalx*(pamb - p(i,j))/(rref*cref)
v(i,j) = vamb - normaly*(pamb - p(i,j))/(rref*cref)
else
p(i,j) = pamb
rho(i,j) = rdom + (p(i,j) - pdom)/cref**2
u(i,j) = udom + normalx*(pdom - pamb)/(rref*cref)
v(i,j) = vdom + normaly*(pdom - pamb)/(rref*cref)
endif
endif
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(2)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(nx-gc, j) + x(nx-gc, j+1))
dylen = (y(nx-gc, j) - y(nx-gc, j+1))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
pamb = 101325.0_prec
ramb = 1.225_prec
uamb = zero
vamb = zero
rho(i, j) = rho(nx-gc, j)
u(i, j) = u(nx-gc, j)
v(i, j) = v(nx-gc, j)
p(i, j) = p(nx-gc, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
pdom = p(i, j)
rdom = rho(i, j)
vdom = v(i, j)
udom = u(i, j)
rref = rho(i, j)
cref = c(i,j)
m = dsqrt(u(i,j)**2 + v(i,j)**2)/c(i,j)
qn = u(i,j)*normalx*dlen + v(i,j)*normaly*dlen
if (m < one) then
if(qn < zero) then
p(i,j) = half*(pdom + pamb - rref*cref*(normalx*(uamb -udom) + normaly*(vamb - vdom)))
rho(i,j) = ramb + (p(i,j) - pamb)/cref**2
u(i,j) = uamb - normalx*(pamb - p(i,j))/(rref*cref)
v(i,j) = vamb - normaly*(pamb - p(i,j))/(rref*cref)
else
p(i,j) = pamb
rho(i,j) = rdom + (p(i,j) - pdom)/cref**2
u(i,j) = udom + normalx*(pdom - pamb)/(rref*cref)
v(i,j) = vdom + normaly*(pdom - pamb)/(rref*cref)
endif
endif
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(3)
do j = jstart, jend
do i = istart, iend
dxlen = (-x(i, ny-gc) + x(i+1, ny-gc))
dylen = (y(i, ny-gc) - y(i+1, ny-gc))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
pamb = 101325.0_prec
ramb = 1.225_prec
uamb = zero
vamb = zero
rho(i, j) = rho(i, ny-gc)
u(i, j) = u(i, ny-gc)
v(i, j) = v(i, ny-gc)
p(i, j) = p(i, ny-gc)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
pdom = p(i, j)
rdom = rho(i, j)
vdom = v(i, j)
udom = u(i, j)
rref = rho(i, j)
cref = c(i,j)
m = dsqrt(u(i,j)**2 + v(i,j)**2)/c(i,j)
qn = u(i,j)*normalx*dlen + v(i,j)*normaly*dlen
if (m < one) then
if(qn < zero) then
p(i,j) = half*(pdom + pamb - rref*cref*(normalx*(uamb -udom) + normaly*(vamb - vdom)))
rho(i,j) = ramb + (p(i,j) - pamb)/cref**2
u(i,j) = uamb - normalx*(pamb - p(i,j))/(rref*cref)
v(i,j) = vamb - normaly*(pamb - p(i,j))/(rref*cref)
else
p(i,j) = pamb
rho(i,j) = rdom + (p(i,j) - pdom)/cref**2
u(i,j) = udom + normalx*(pdom - pamb)/(rref*cref)
v(i,j) = vdom + normaly*(pdom - pamb)/(rref*cref)
endif
endif
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(4)
do j = jstart, jend
do i = istart, iend
dxlen = -(x(gc+1, j) - x(gc+1, j+1))
dylen = y(gc+1, j) - y(gc+1, j+1)
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(gc+1, j)
u(i, j) = u(gc+1, j)
v(i, j) = v(gc+1, j)
p(i, j) = p(gc+1, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
pdom = p(i, j)
rdom = rho(i, j)
vdom = v(i, j)
udom = u(i, j)
rref = rho(i, j)
cref = c(i,j)
m = dsqrt(u(i,j)**2 + v(i,j)**2)/c(i,j)
qn = u(i,j)*normalx*dlen + v(i,j)*normaly*dlen
if (m < one) then
if(qn < zero) then
p(i,j) = half*(pdom + pamb - rref*cref*(normalx*(uamb -udom) + normaly*(vamb - vdom)))
rho(i,j) = ramb + (p(i,j) - pamb)/cref**2
u(i,j) = uamb - normalx*(pamb - p(i,j))/(rref*cref)
v(i,j) = vamb - normaly*(pamb - p(i,j))/(rref*cref)
else
p(i,j) = pamb
rho(i,j) = rdom + (p(i,j) - pdom)/cref**2
u(i,j) = udom + normalx*(pdom - pamb)/(rref*cref)
v(i,j) = vdom + normaly*(pdom - pamb)/(rref*cref)
endif
endif
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
end select
end subroutine pressure_oulet
subroutine periodicboundary(istart, iend, jstart, jend, bside)
implicit none
integer(i32), intent(in) :: istart, iend, jstart, jend, bside
integer(i32) :: i, j
select case (bside)
case(1)
do j = jstart, jend
do i = istart, iend
rho(i, j) = rho(i, ny-2*gc+j)
u(i, j) = u(i, ny-2*gc+j)
v(i, j) = v(i, ny-2*gc+j)
p(i, j) = p(i, ny-2*gc+j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(2)
do j = jstart, jend
do i = istart, iend
rho(i, j) = rho(i-nx+2*gc, j)
u(i, j) = u(i-nx+2*gc, j)
v(i, j) = v(i-nx+2*gc, j)
p(i, j) = p(i-nx+2*gc, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(3)
do j = jstart, jend
do i = istart, iend
rho(i, j) = rho(i, j-ny+2*gc)
u(i, j) = u(i, j-ny+2*gc)
v(i, j) = v(i, j-ny+2*gc)
p(i, j) = p(i, j-ny+2*gc)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
case(4)
do j = jstart, jend
do i = istart, iend
rho(i, j) = rho(nx-2*gc+i, j)
u(i, j) = u(nx-2*gc+i, j)
v(i, j) = v(nx-2*gc+i, j)
p(i, j) = p(nx-2*gc+i, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
end select
end subroutine periodicboundary
subroutine vortexbc
!left boundary condtions
call periodicboundary(1, gc, gc+1, ny-gc, 4)
!right boundary conditions
call periodicboundary(nx-gc+1, nx, 1, ny, 2)
!bottom boundary condition
call periodicboundary(gc+1, nx-gc, 1, gc, 1)
!top boundary condtions
call periodicboundary(gc+1, nx-gc, ny-gc+1, ny, 3)
end subroutine vortexbc
subroutine nozzlebc
real(prec) :: temp, tinf, dpres, pin, uin, vin, rin, cref, rref, qnorm, m, cdom
real(prec) :: rb, ub, vb, pb, rdom, udom, vdom, pdom, pamb, uamb, vamb, ramb, un, ut, normalx, normaly, dlen, dxlen, dylen
integer :: i, j
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! if j = 1, jc = 6; j = 2, jc = 5; j = 3, jc = 4;
!!!!!!!!!!!!!!symmetric boundary!!!!!!!!!!!!!!!!!! jc = 6; jc = 5; jc = 4;
do j = 1, gc
do i = gc+1, nx-gc
dxlen = (-x(i+1, gc+1) + x(i, gc+1))
dylen = (y(i+1, gc+1) - y(i, gc+1))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
rho(i, j) = rho(i, gc+1)
u(i, j) = u(i, gc+1)
v(i, j) = v(i, gc+1)
p(i, j) = p(i, gc+1)
t(i, j) = t(i, gc+1)
un = u(i, j)*normalx + v(i, j)*normaly
ut = v(i, j)*normalx - u(i, j)*normaly
un = -un
ut = ut
u(i, j) = un*normalx - ut*normaly
v(i, j) = ut*normalx + un*normaly
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! if j = 1, jc = 6; j = 2, jc = 5; j = 3, jc = 4;
!!!!!!!!!!!!!!linear ex boundary!!!!!!!!!!!!!!!!!! jc = 6; jc = 5; jc = 4;
do j = gc+1, ny-gc
do i = nx-gc+1, nx
! rho(i, j) = rho(nx-gc, j)!two*rho(i-1, j) - rho(i-2, j)!rho(nx-gc, j)
! u(i, j) = dabs(u(nx-gc, j))!two*dabs(u(i-1, j)) - dabs(u(i-2, j))!abs(u(nx-gc, j))
! v(i, j) = v(nx-gc, j)!two*v(i-1, j) - v(i-2, j)!v(nx-gc, j)
! p(i, j) = p(nx-gc, j)!two*p(i-1, j) - p(i-2, j)!p(nx-gc, j)
! ! rho(i, j) = two*rho(i-1, j) - rho(i-2, j)!rho(nx-gc, j)
! ! u(i, j) = two*dabs(u(i-1, j)) - dabs(u(i-2, j))!abs(u(nx-gc, j))
! ! v(i, j) = two*v(i-1, j) - v(i-2, j)!v(nx-gc, j)
! ! p(i, j) = two*p(i-1, j) - p(i-2, j)!p(nx-gc, j)
! t(i, j) = p(i,j)/(r*rho(i,j))!two*t(i-1, j) - t(i-2, j)!t(nx-gc, j)
! c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
! h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
dxlen = (-x(nx-gc, j) + x(nx-gc, j+1))
dylen = (y(nx-gc, j) - y(nx-gc, j+1))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
pamb = 101325.0_prec
ramb = 1.225_prec
uamb = zero
vamb = zero
rho(i, j) = rho(nx-gc, j)
u(i, j) = dabs(u(nx-gc, j))
v(i, j) = v(nx-gc, j)
p(i, j) = p(nx-gc, j)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
! pdom = p(i, j)
! rdom = rho(i, j)
! vdom = v(i, j)
! udom = u(i, j)
! rref = rho(i, j)
! cref = c(i,j)
! m = dsqrt(u(i,j)**2 + v(i,j)**2)/c(i,j)
! qnorm = u(i,j)*normalx*dlen + v(i,j)*normaly*dlen
! if (m < one) then
! if(qnorm < zero) then
! pb = half*(pdom + pamb - rref*cref*(normalx*(uamb -udom) + normaly*(vamb - vdom)))
! rb = ramb + (pb - pamb)/cref**2
! ub = uamb - normalx*(pamb - pb)/(rref*cref)
! vb = vamb - normaly*(pamb - pb)/(rref*cref)
! else
! pb = pamb
! rb = rdom + (pb - pdom)/cref**2
! ub = udom + normalx*(pdom - pamb)/(rref*cref)
! vb = vdom + normaly*(pdom - pamb)/(rref*cref)
! endif
! p(i, j) = pb!two*pb - pdom
! u(i, j) = ub!two*ub - udom
! v(i, j) = vb!two*vb - vdom
! rho(i, j) = rb!two*rb - rdom
! else
! p(i, j) = pdom
! u(i, j) = DABS(udom)
! v(i, j) = vdom
! rho(i, j) = rdom
! endif
! ! p(i, j) = pdom
! ! u(i, j) = DABS(udom)
! ! v(i, j) = vdom
! ! rho(i, j) = rdom
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
c(i, j) = dsqrt(g1*R*t(i, j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! if j = 1, jc = 6; j = 2, jc = 5; j = 3, jc = 4;
!!!!!!!!!!!!!!far field boundary!!!!!!!!!!!!!!!!!! jc = 6; jc = 5; jc = 4;
do j = ny-gc+1, ny
do i = gc+1, nx-gc
dxlen = (-x(i, ny-gc) + x(i+1, ny-gc))
dylen = (y(i, ny-gc) - y(i+1, ny-gc))
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
pamb = 101325.0_prec
ramb = 1.225_prec
uamb = zero
vamb = zero
rho(i, j) = rho(i, ny-gc)
u(i, j) = u(i, ny-gc)
v(i, j) = v(i, ny-gc)
p(i, j) = p(i, ny-gc)
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
pdom = p(i, j)
rdom = rho(i, j)
vdom = v(i, j)
udom = u(i, j)
rref = rho(i, j)
cref = c(i,j)
m = dsqrt(u(i,j)**2 + v(i,j)**2)/c(i,j)
qnorm = u(i,j)*normalx*dlen + v(i,j)*normaly*dlen
if (m < one) then
if(qnorm < zero) then
pb = half*(pdom + pamb - rref*cref*(normalx*(uamb -udom) + normaly*(vamb - vdom)))
rb = ramb + (pb - pamb)/cref**2
ub = uamb - normalx*(pamb - pb)/(rref*cref)
vb = vamb - normaly*(pamb - pb)/(rref*cref)
else
pb = pamb
rb = rdom + (pb - pdom)/cref**2
ub = udom + normalx*(pdom - pamb)/(rref*cref)
vb = vdom + normaly*(pdom - pamb)/(rref*cref)
endif
p(i, j) = pb!two*pb - pdom
u(i, j) = ub!two*ub - udom
v(i, j) = vb!two*vb - vdom
rho(i, j) = rb!two*rb - rdom
endif
p(i, j) = pamb!two*pb - pdom
u(i, j) = uamb!two*ub - udom
v(i, j) = vamb!two*vb - vdom
rho(i, j) = ramb!two*rb - rdom
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
t(i, j) = p(i,j)/(r*rho(i,j))
c(i, j) = dsqrt(g1*R*t(i, j))
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! if j = 1, jc = 6; j = 2, jc = 5; j = 3, jc = 4;
!!!!!!!!!!!supersonic inlet and wall!!!!!!!!!!!!!! jc = 6; jc = 5; jc = 4;
temp = (1 + (g2)*half*mach_no**2)
tinf = 300.0d0/temp
dpres = temp**3.50d0
pin = npr*101325.0d0/dpres
rin = pin/(r*tinf)
uin = mach_no*(dsqrt(g1*pin/rin))
vin = zero
! print *, rin, uin, vin, tinf
do j = gc+1, ny-gc
do i = 1, gc
dxlen = -(x(gc+1, j) - x(gc+1, j+1))
dylen = y(gc+1, j) - y(gc+1, j+1)
dlen = dsqrt(dxlen**2 + dylen**2)
normalx = dylen/dlen
normaly = dxlen/dlen
if(yc(i, j) .le. 0.25d0) then
rho(i, j) = rin
! if(counter .le. 500) then
! if(yc(i, j) .le. 0.0625d0) then
! rho(i, j) = rin - 0.35d0!0.25d0 + rin !0.25d0 + rin
! endif
! endif
u(i, j) = uin
v(i, j) = vin
p(i, j) = pin
t(i, j) = tinf
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
else
rho(i, j) = rho(gc+1, j)
u(i, j) = u(gc+1, j)
v(i, j) = v(gc+1, j)
p(i, j) = p(gc+1, j)
t(i, j) = t(gc+1, j)
un = u(i, j)*normalx + v(i, j)*normaly
ut = v(i, j)*normalx - u(i, j)*normaly
un = -un
ut = ut
u(i, j) = un*normalx - ut*normaly
v(i, j) = ut*normalx + un*normaly
c(i, j) = dsqrt(g1*p(i, j)/rho(i, j))
h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
endif
q(1, i, j) = rho(i, j)
q(2, i, j) = rho(i, j)*u(i, j)
q(3, i, j) = rho(i, j)*v(i, j)
q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
enddo
enddo
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! !bottom boundary condition
! call symmetry(gc+1, nx-gc, 1, gc, 1)
! !right boundary condition
! call zero_extrapolation(nx-gc+1, nx, gc+1, ny-gc, 2)
! !top boundary condition
! call pressure_oulet(gc+1, nx-gc, ny-gc+1, ny, 3)
! !left boundary condition
! temp = (1 + (g2)*half*mach_no**2)
! tinf = 300.0d0/temp
! dpres = temp**3.50d0
! pin = npr*101325.0d0/dpres
! rin = pin/(r*tinf)
! uin = mach_no*(dsqrt(g1*pin/rin))
! vin = zero
! call supersonic_inflow(1, gc, gc+1, (ny-gc)/2, 4, rin, uin, vin, pin)
! call wallboundary(1, gc, (ny-gc)/2+1, ny-gc, 4)
! integer :: i, j
! !bottom boundary condition
! call wallboundary(gc+1, nx-gc, 1, gc, 1)
! !right boundary condition
! call zero_extrapolation(nx-gc+1, nx, gc+1, ny-gc, 2)
! !top boundary condition
! do j = ny-gc+1, ny
! do i = gc+1, nx-gc
! t(i,j) = 288.16_prec
! p(i,j) = 101325_prec
! rho(i,j) = p(i,j)/(r*t(i,j))
! v(i,j) = zero
! c(i, j) = sqrt(g1*p(i, j)/rho(i, j))
! u(i,j) = mach_no*c(i,j)
! h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
! q(1, i, j) = rho(i, j)
! q(2, i, j) = rho(i, j)*u(i, j)
! q(3, i, j) = rho(i, j)*v(i, j)
! q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
! enddo
! enddo
! ! call zero_extrapolation(gc+1, nx-gc, ny-gc+1, ny, 3)
! !left boundary condition
! do j = gc+1, ny-gc
! do i = 1, gc
! t(i,j) = 288.16_prec
! p(i,j) = 101325_prec
! rho(i,j) = p(i,j)/(r*t(i,j))
! v(i,j) = zero
! c(i, j) = sqrt(g1*p(i, j)/rho(i, j))
! u(i,j) = mach_no*c(i,j)
! h(i, j) = (p(i, j)/g2 + p(i, j) + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2))/rho(i,j)
! q(1, i, j) = rho(i, j)
! q(2, i, j) = rho(i, j)*u(i, j)
! q(3, i, j) = rho(i, j)*v(i, j)
! q(4, i, j) = p(i, j)/g2 + half*rho(i, j)*(u(i, j)**2 + v(i, j)**2)
! enddo
! enddo
! ! call zero_extrapolation(1, gc, gc+1, ny-gc, 4)
! ! temp = (1 + (g2)*half*mach_no**2)
! ! tinf = 300.0d0/temp
! ! dpres = temp**3.5
! ! pin = npr*101325.0_prec/dpres
! ! rin = pin/(r*tinf)
! ! uin = mach_no*(dsqrt(g1*pin/rin))
! ! vin = zero
! ! call supersonic_inflow(1, gc, gc+1, (ny-gc)/4, 4, rin, uin, vin, pin)
! ! call wallboundary(1, gc, (ny-gc)/4+1, ny-gc, 4)
end subroutine nozzlebc
subroutine flatplatebc
real(prec) :: temp, tinf, dpres, pin, uin, vin, rin
!bottom boundary condition
call symmetry(gc+1, 43, 1, gc, 1)
call wallboundary(44, nx-gc, 1, gc, 1)
!right boundary condition
call zero_extrapolation(nx-gc+1, nx, gc+1, ny-gc, 2)
!top boundary condition
call zero_extrapolation(gc+1, nx-gc, ny-gc+1, ny, 3)
!left boundary condition
call zero_extrapolation(1, gc, gc+1, ny-gc, 4)
! temp = (1 + (g2)*half*mach_no**2)
! tinf = 300.0d0/temp
! dpres = temp**3.5
! pin = npr*101325.0_prec/dpres
! rin = pin/(r*tinf)
! uin = mach_no*(dsqrt(g1*pin/rin))
! vin = zero
! call supersonic_inflow(1, gc, gc+1, (ny-gc)/4, 4, rin, uin, vin, pin)
! call wallboundary(1, gc, (ny-gc)/4+1, ny-gc, 4)
end subroutine flatplatebc
end module