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rpt2_euler_mapgrid.f90
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rpt2_euler_mapgrid.f90
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! =========================================================
subroutine rpt2(ixy,imp,maxm,meqn,mwaves,maux,mbc,mx,ql,qr,aux1,aux2,aux3,asdq,bmasdq,bpasdq)
! =========================================================
! # solve Riemann problems for the 1D Euler equations using Roe's
! # approximate Riemann solver.
! # On input, ql contains the state vector at the left edge of each cell
! # qr contains the state vector at the right edge of each cell
! # On output, wave contains the waves,
! # the speeds,
! # amdq the left-going flux difference A^- \Delta q
! # apdq the right-going flux difference A^+ \Delta q
! # Note that the i'th Riemann problem has left state qr(i-1,:)
! # and right state ql(i,:)
! # From the basic clawpack routine step1, rp is called with ql = qr = q.
implicit none
integer :: maxm, meqn, mwaves, mbc, mx, imp, ixy, maux
double precision :: ql(meqn, 1-mbc:maxm+mbc)
double precision :: qr(meqn, 1-mbc:maxm+mbc)
double precision :: s(mwaves, 1-mbc:maxm+mbc)
double precision :: wave(meqn, mwaves, 1-mbc:maxm+mbc)
double precision :: asdq(meqn, 1-mbc:maxm+mbc)
double precision :: bmasdq(meqn, 1-mbc:maxm+mbc)
double precision :: bpasdq(meqn, 1-mbc:maxm+mbc)
double precision :: aux1(maux, 1-mbc:maxm+mbc)
double precision :: aux2(maux, 1-mbc:maxm+mbc)
double precision :: aux3(maux, 1-mbc:maxm+mbc)
! # For Roe solver
double precision :: rhol, ul, vl, el, cl, pl
double precision :: rhor, ur, vr, er, cr, pr
double precision :: u, v, enth, rho, p, e
double precision :: rhsqrtl, rhsqrtr, rhsq2
double precision :: uvl, uvr, uv(2)
! # For mappings
integer :: meqn2,mwaves2
parameter(meqn2 = 4, mwaves2 = 3)
double precision :: ql_state(meqn2), qr_state(meqn2)
double precision :: q_state(meqn2)
double precision :: wave_local(mwaves2,meqn2)
double precision :: s_local(mwaves2), delta(meqn2)
double precision :: speeds(2,mwaves2)
double precision :: deltam(meqn2), deltap(meqn2)
double precision :: area
! # for mapping
double precision :: rotm(4), rotp(4), uvm_rot(2),uvp_rot(2)
integer :: locrot,mcapa,locarea
! # Miscellaneous
integer :: i, j, m, mw, i1, ixy1
logical :: useroe
! # Problem parameters
double precision :: gamma, gamma1
double precision :: dtcom, dxcom, dycom, tcom
integer :: info
logical :: in_rpt
common /cparam/ gamma
gamma1 = gamma - 1.d0
useroe = .true.
call get_aux_locations_t(ixy, mcapa, locrot,locarea)
do i = 2-mbc,mx+mbc
i1 = i + imp - 2
do m = 1,meqn
ql_state(m) = qr(m,i-1)
qr_state(m) = ql(m,i)
enddo
if (useroe) then
rhol = ql_state(1)
rhor = qr_state(1)
ul = ql_state(2)/rhol
ur = qr_state(2)/rhor
vl = ql_state(3)/rhol
vr = qr_state(3)/rhor
el = ql_state(4)
er = qr_state(4)
uvl = ul*ul + vl*vl
uvr = ur*ur + vr*vr
pl = gamma1*(el - 0.5d0*rhol*uvl)
pr = gamma1*(er - 0.5d0*rhor*uvr)
! # Get Roe averaged values
rhsqrtl = sqrt(rhol)
rhsqrtr = sqrt(rhor)
rhsq2 = rhsqrtl + rhsqrtr
uv(1) = (ul*rhsqrtl + ur*rhsqrtr) / rhsq2
uv(2) = (vl*rhsqrtl + vr*rhsqrtr) / rhsq2
enth = ((el + pl)/rhsqrtl + (er + pr)/rhsqrtr)/rhsq2
else
! # This takes the values needed for the Roe matrix from the
! # cell centers in either the left (imp == 1) or the
! # right (imp == 2) cell
do m = 1,meqn
if (imp == 1) then
! # Left (minus) cell
q_state(m) = ql_state(m)
else
! # Right (plus) cell
q_state(m) = qr_state(m)
endif
enddo
rho = q_state(1)
uv(1) = q_state(2)/rho
uv(2) = q_state(3)/rho
e = q_state(4)
p = gamma1*(e - 0.5d0*rho*(uv(1)**2 + uv(2)**2))
enth = (e + p)/rho
endif
do j = 1,2
uvm_rot(j) = uv(j)
uvp_rot(j) = uv(j)
rotm(j) = aux2(locrot+j-1,i1)
rotp(j) = aux3(locrot+j-1,i1)
enddo
call compute_tangent(rotm)
call compute_tangent(rotp)
call rotate2(rotm,uvm_rot)
call rotate2(rotp,uvp_rot)
do m = 1,meqn
deltap(m) = asdq(m,i)
deltam(m) = asdq(m,i)
enddo
call rotate2(rotm,deltam(2))
call rotate2(rotp,deltap(2))
! # ------------------------------------------
! # Solve for minus side
! # ------------------------------------------
ixy1 = 1
call roe_solver(ixy1,uvm_rot,enth,deltam, &
wave_local,s_local,info)
if (info /= 0) then
write(6,*) 'ixy = ', ixy
write(6,*) 'imp = ', imp
write(6,*) 'enth = ', enth
write(6,*) 'Called from rpt2 (A-DQ)'
write(6,*) ' '
write(6,'(24A,24A)') ' Left State ', &
' Right State '
write(6,'(24A,24A)') '------------------------', &
'-----------------------'
do m = 1,meqn
write(6,'(2E24.16)') ql_state(m), qr_state(m)
enddo
write(6,*) ' '
stop
endif
area = aux2(locarea,i1)
do mw = 1,mwaves
call rotate2_tr(rotm,wave_local(mw,2))
speeds(1,mw) = area*min(s_local(mw),0.d0)
enddo
do m = 1,meqn
bmasdq(m,i) = 0.d0
do mw = 1,mwaves
bmasdq(m,i) = bmasdq(m,i) + speeds(1,mw)*wave_local(mw,m)
enddo
enddo
! # ------------------------------------------
! # Solve for plus side
! # ------------------------------------------
ixy1 = 1
call roe_solver(ixy1,uvp_rot,enth,deltap, &
wave_local,s_local,info)
if (info /= 0) then
write(6,*) 'ixy = ', ixy
write(6,*) 'imp = ', imp
write(6,*) 'enth = ', enth
write(6,*) 'Called from rpt2 (A+DQ)'
write(6,*) ' '
write(6,'(24A,24A)') ' Left State ', &
' Right State '
write(6,'(24A,24A)') '------------------------', &
'-----------------------'
do m = 1,meqn
write(6,'(2E24.16)') ql_state(m), qr_state(m)
enddo
write(6,*) ' '
stop
endif
area = aux3(locarea,i1)
do mw = 1,mwaves
call rotate2_tr(rotp,wave_local(mw,2))
speeds(2,mw) = area*max(s_local(mw),0.d0)
enddo
do m = 1,meqn
bpasdq(m,i) = 0.d0
do mw = 1,mwaves
bpasdq(m,i) = bpasdq(m,i) + speeds(2,mw)*wave_local(mw,m)
enddo
enddo
enddo !! end of i loop
return
end subroutine rpt2