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mod_solver_kfvs.f90
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mod_solver_kfvs.f90
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! Remarks:
! 17/03/2018: Truong replaces symmetry boundary condition with solid wall boundary condition (airfoil surface),
! in order to have a more meanningful solution.
! 18/03/2018: Code is modified for the C3.1 multi-element airfoil.
module mod_solver_kfvs
use mod_cell_2D
use mod_fvm_face_2D
use mod_struct_to_array
use mod_read_gmsh, only : rho_init, ux_init, uy_init, t_init
implicit none
real(8) :: r_gaz, invdt, dt, tmax
real(8), parameter :: cfl = 0.9d0
real(8), dimension(:), allocatable :: rho, ux, uy, t
real(8), dimension(:), allocatable :: p, a, b, e
real(8), dimension(:,:), allocatable :: vect_u, vect_unew, flux, rhs, rhsdummy_symetrie, rhsdummy_entree, rhsdummy_sortie, rhsdummy_paroi_solid
real(8), dimension(:,:), allocatable :: vardummy_symetrie, vardummy_entree, vardummy_sortie, vardummy_paroi_solid
integer :: nb_symmetry = 0, nb_inlet = 0, nb_outlet = 0, nb_paroi_solid = 0, nmax
contains
!----------------------------------------------------------------------
subroutine donnee_initiale
implicit none
if (.not. allocated(rho)) then
allocate(rho(1:list_cell%nbelm))
endif
if (.not. allocated(ux)) then
allocate(ux(1:list_cell%nbelm))
endif
if (.not. allocated(uy)) then
allocate(uy(1:list_cell%nbelm))
endif
if (.not. allocated(t)) then
allocate(t(1:list_cell%nbelm))
endif
if (.not. allocated(p)) then
allocate(p(1:list_cell%nbelm))
endif
if (.not. allocated(a)) then
allocate(a(1:list_cell%nbelm))
endif
if (.not. allocated(b)) then
allocate(b(1:list_cell%nbelm))
endif
if (.not. allocated(e)) then
allocate(e(1:list_cell%nbelm))
endif
if (.not. allocated(vect_u)) then
allocate(vect_u(1:list_cell%nbelm,1:4))
endif
if (.not. allocated(vect_unew)) then
allocate(vect_unew(1:list_cell%nbelm,1:4))
endif
rho = rho_init
ux = ux_init
uy = uy_init
t = t_init
end subroutine donnee_initiale
!----------------------------------------------------------------------
subroutine allocate_vardummy
implicit none
integer :: i
type(fvm_face_2D), pointer :: pfac
if (nb_paroi_solid > 0) return
! Allocating vardummy
do i = 1, nbfaces
pfac => faces_fvm%face_2D(i)%f
if (pfac%bc_typ == 1) then ! Airfoil - paroi solid
nb_paroi_solid = nb_paroi_solid + 1
endif
if (pfac%bc_typ == 2) then ! Inflow
nb_inlet = nb_inlet + 1
endif
if (pfac%bc_typ == 3) then ! Outflow
nb_outlet = nb_outlet + 1
endif
enddo
if (.not. allocated(vardummy_paroi_solid)) then
allocate(vardummy_paroi_solid(1:nb_paroi_solid,1:8))
vardummy_paroi_solid = 0.0d0
endif
if (.not. allocated(vardummy_entree)) then
allocate(vardummy_entree(1:nb_inlet,1:8))
vardummy_entree = 0.0d0
endif
if (.not. allocated(vardummy_sortie)) then
allocate(vardummy_sortie(1:nb_outlet,1:8))
vardummy_sortie = 0.0d0
endif
end subroutine allocate_vardummy
!----------------------------------------------------------------------
subroutine allocate_vardummy_multi_elem_airfoil
implicit none
integer :: i
type(fvm_face_2D), pointer :: pfac
!if (nb_symmetry > 0) return
if (nb_paroi_solid > 0) return
! Allocating vardummy
do i = 1, nbfaces
pfac => faces_fvm%face_2D(i)%f
if (pfac%bc_typ == 1) then ! inlet
nb_inlet = nb_inlet + 1
endif
if (pfac%bc_typ == 2) then ! Airfoil - paroi solid
nb_paroi_solid = nb_paroi_solid + 1
endif
if (pfac%bc_typ == 3) then ! Airfoil - paroi solid
nb_paroi_solid = nb_paroi_solid + 1
endif
if (pfac%bc_typ == 4) then ! Airfoil - paroi solid
nb_paroi_solid = nb_paroi_solid + 1
endif
enddo
!if (.not. allocated(vardummy_symetrie)) then
! allocate(vardummy_symetrie(1:nb_symmetry,1:8))
! vardummy_symetrie = 0.0d0
!endif
if (.not. allocated(vardummy_paroi_solid)) then
allocate(vardummy_paroi_solid(1:nb_paroi_solid,1:8))
vardummy_paroi_solid = 0.0d0
endif
if (.not. allocated(vardummy_entree)) then
allocate(vardummy_entree(1:nb_inlet,1:8))
vardummy_entree = 0.0d0
endif
!if (.not. allocated(vardummy_sortie)) then
! allocate(vardummy_sortie(1:nb_outlet,1:8))
! vardummy_sortie = 0.0d0
!endif
end subroutine allocate_vardummy_multi_elem_airfoil
!----------------------------------------------------------------------
subroutine conditions_aux_limites
implicit none
integer :: icel, ifac, jfac
integer :: cnt_inlet, cnt_outlet, cnt_wall
integer :: idface
real(8) :: un, ut
type(cell_2D), pointer :: pcel
type(face), pointer :: pfac
cnt_inlet = 0
cnt_outlet = 0
cnt_wall = 0
do icel = 1, list_cell%nbelm
pcel => list_cell%cell(icel)%p
do ifac = 1, 4
pfac => pcel%faces(ifac)
if (pfac%bc_typ == 1) then ! Airfoil - paroi solid
cnt_wall = cnt_wall + 1
idface = pfac%idface
un = norm_x(idface) * ux(icel) + norm_y(idface) * uy(icel)
ut = -norm_y(idface) * ux(icel) + norm_x(idface) * uy(icel)
vardummy_paroi_solid(cnt_wall, 1) = rho(icel)
vardummy_paroi_solid(cnt_wall, 2) = norm_x(idface) * (-un) - norm_y(idface) * ut
vardummy_paroi_solid(cnt_wall, 3) = norm_y(idface) * (-un) + norm_x(idface) * ut
vardummy_paroi_solid(cnt_wall, 4) = t(icel)
endif
if (pfac%bc_typ == 2) then ! Inflow
cnt_inlet = cnt_inlet + 1
vardummy_entree(cnt_inlet, 1) = rho_init
vardummy_entree(cnt_inlet, 2) = ux_init
vardummy_entree(cnt_inlet, 3) = uy_init
vardummy_entree(cnt_inlet, 4) = t_init
endif
if (pfac%bc_typ == 3) then ! Outflow
cnt_outlet = cnt_outlet + 1
vardummy_sortie(cnt_outlet, 1) = rho(icel)
vardummy_sortie(cnt_outlet, 2) = ux(icel)
vardummy_sortie(cnt_outlet, 3) = uy(icel)
vardummy_sortie(cnt_outlet, 4) = t(icel)
endif
enddo
enddo
end subroutine conditions_aux_limites
!----------------------------------------------------------------------
subroutine conditions_aux_limites_multi_elem_airfoil
implicit none
integer :: icel, ifac, jfac
integer :: cnt_inlet, cnt_wall
integer :: idface
real(8) :: un, ut
type(cell_2D), pointer :: pcel
type(face), pointer :: pfac
cnt_inlet = 0
cnt_wall = 0
do icel = 1, list_cell%nbelm
pcel => list_cell%cell(icel)%p
do ifac = 1, 4
pfac => pcel%faces(ifac)
if (pfac%bc_typ == 2 .or. pfac%bc_typ == 3 .or. pfac%bc_typ == 4) then ! Airfoil - paroi solid
cnt_wall = cnt_wall + 1
idface = pfac%idface
un = norm_x(idface) * ux(icel) + norm_y(idface) * uy(icel)
ut = -norm_y(idface) * ux(icel) + norm_x(idface) * uy(icel)
vardummy_paroi_solid(cnt_wall, 1) = rho(icel)
vardummy_paroi_solid(cnt_wall, 2) = norm_x(idface) * (-un) - norm_y(idface) * ut
vardummy_paroi_solid(cnt_wall, 3) = norm_y(idface) * (-un) + norm_x(idface) * ut
vardummy_paroi_solid(cnt_wall, 4) = t(icel)
endif
if (pfac%bc_typ == 1) then ! Inflow
cnt_inlet = cnt_inlet + 1
vardummy_entree(cnt_inlet, 1) = 0.2969689477d-4
vardummy_entree(cnt_inlet, 2) = 1059.458022d0
vardummy_entree(cnt_inlet, 3) = 0.0d0
vardummy_entree(cnt_inlet, 4) = 1295.646765d0
endif
enddo
enddo
end subroutine conditions_aux_limites_multi_elem_airfoil
!----------------------------------------------------------------------
!--- calcul des quantités dérivées
subroutine calcul_derived_quantities
implicit none
r_gaz = 400.0d0 !1.3806503d-23 / 0.663d-25
p = rho * r_gaz * t
b = sqrt(3.0d0 * r_gaz * t)
a = rho / (8.0d0 * b**3)
e = 0.5d0 * rho * (ux**2 + uy**2) + 3.0d0 /2.0d0 * rho * r_gaz * t
vardummy_paroi_solid(:, 5) = vardummy_paroi_solid(:, 1) * r_gaz * vardummy_paroi_solid(:, 4)
vardummy_paroi_solid(:, 7) = sqrt(3.0d0 * r_gaz * vardummy_paroi_solid(:, 4))
vardummy_paroi_solid(:, 6) = vardummy_paroi_solid(:, 1) / (8.0d0 * vardummy_paroi_solid(:, 7)**3)
vardummy_paroi_solid(:, 8) = 0.5d0 * vardummy_paroi_solid(:, 1) * (vardummy_paroi_solid(:, 2)**2 + vardummy_paroi_solid(:, 3)**2) + &
& 3.0d0 /2.0d0 * vardummy_paroi_solid(:, 1) * r_gaz * vardummy_paroi_solid(:, 4)
vardummy_entree(:, 5) = vardummy_entree(:, 1) * r_gaz * vardummy_entree(:, 4)
vardummy_entree(:, 7) = sqrt(3.0d0 * r_gaz * vardummy_entree(:, 4))
vardummy_entree(:, 6) = vardummy_entree(:, 1) / (8.0d0 * vardummy_entree(:, 7)**3)
vardummy_entree(:, 8) = 0.5d0 * vardummy_entree(:, 1) * (vardummy_entree(:, 2)**2 + vardummy_entree(:, 3)**2) + 3.0d0 /2.0d0 * vardummy_entree(:, 1) * r_gaz * vardummy_entree(:, 4)
vardummy_sortie(:, 5) = vardummy_sortie(:, 1) * r_gaz * vardummy_sortie(:, 4)
vardummy_sortie(:, 7) = sqrt(3.0d0 * r_gaz * vardummy_sortie(:, 4))
vardummy_sortie(:, 6) = vardummy_sortie(:, 1) / (8.0d0 * vardummy_sortie(:, 7)**3)
vardummy_sortie(:, 8) = 0.5d0 * vardummy_sortie(:, 1) * (vardummy_sortie(:, 2)**2 + vardummy_sortie(:, 3)**2) + 3.0d0 /2.0d0 * vardummy_sortie(:, 1) * r_gaz * vardummy_sortie(:, 4)
end subroutine calcul_derived_quantities
!----------------------------------------------------------------------
subroutine calcul_derived_quantities_multi_elem_airfoil
implicit none
r_gaz = 1.3806503d-23 / 0.663d-25
p = rho * r_gaz * t
b = sqrt(3.0d0 * r_gaz * t)
a = rho / (8.0d0 * b**3)
e = 0.5d0 * rho * (ux**2 + uy**2) + 3.0d0 /2.0d0 * rho * r_gaz * t
vardummy_paroi_solid(:, 5) = vardummy_paroi_solid(:, 1) * r_gaz * vardummy_paroi_solid(:, 4)
vardummy_paroi_solid(:, 7) = sqrt(3.0d0 * r_gaz * vardummy_paroi_solid(:, 4))
vardummy_paroi_solid(:, 6) = vardummy_paroi_solid(:, 1) / (8.0d0 * vardummy_paroi_solid(:, 7)**3)
vardummy_paroi_solid(:, 8) = 0.5d0 * vardummy_paroi_solid(:, 1) * (vardummy_paroi_solid(:, 2)**2 + vardummy_paroi_solid(:, 3)**2) + &
& 3.0d0 /2.0d0 * vardummy_paroi_solid(:, 1) * r_gaz * vardummy_paroi_solid(:, 4)
vardummy_entree(:, 5) = vardummy_entree(:, 1) * r_gaz * vardummy_entree(:, 4)
vardummy_entree(:, 7) = sqrt(3.0d0 * r_gaz * vardummy_entree(:, 4))
vardummy_entree(:, 6) = vardummy_entree(:, 1) / (8.0d0 * vardummy_entree(:, 7)**3)
vardummy_entree(:, 8) = 0.5d0 * vardummy_entree(:, 1) * (vardummy_entree(:, 2)**2 + vardummy_entree(:, 3)**2) + 3.0d0 /2.0d0 * vardummy_entree(:, 1) * r_gaz * vardummy_entree(:, 4)
end subroutine calcul_derived_quantities_multi_elem_airfoil
!----------------------------------------------------------------------
!--- calcul du vecteur des quantités conservatives
subroutine calcul_conservative_vector
implicit none
vect_u(:,1) = rho(:)
vect_u(:,2) = rho(:) * ux(:)
vect_u(:,3) = rho(:) * uy(:)
vect_u(:,4) = e(:)
vect_unew = vect_u
end subroutine calcul_conservative_vector
!----------------------------------------------------------------------
!--- pas de temps et vitesse maximum
subroutine timestep
implicit none
real(8) :: norme_u, perimetre
integer :: i, face1, face2, face3, face4
type(cell_2D), pointer :: pc
type(face), pointer :: pf1, pf2, pf3, pf4
invdt = 0.0d0
do i = 1, list_cell%nbelm
pc => list_cell%cell(i)%p
norme_u = sqrt(ux(i)**2 + uy(i)**2)
pf1 => pc%faces(1)
pf2 => pc%faces(2)
pf3 => pc%faces(3)
pf4 => pc%faces(4)
face1 = pf1%idface
face2 = pf2%idface
face3 = pf3%idface
face4 = pf4%idface
if (face1 == 0) then
print*, 'face1 = 0'
print*, 'Please check cell ', i
endif
if (face2 == 0) then
print*, 'face2 = 0'
endif
if (face3 == 0) then
print*, 'face3 = 0'
endif
if (face4 == 0) then
print*, 'face4 = 0'
print*, 'Please check cell ', i
endif
perimetre = faces_fvm%face_2D(face1)%f%len_nor + faces_fvm%face_2D(face2)%f%len_nor + &
& faces_fvm%face_2D(face3)%f%len_nor + faces_fvm%face_2D(face4)%f%len_nor
invdt = max(invdt, (norme_u+b(i)*perimetre / pc%vol))
enddo
dt = cfl / invdt
end subroutine timestep
!----------------------------------------------------------------------
subroutine assign_lr_cell
use mod_struct_to_array, only: lr_cell
implicit none
integer :: ifac, icel, fac
integer :: cnt_inlet, cnt_outlet, cnt_wall
type(cell_2D), pointer :: pcel
type(face), pointer :: pfac
type(fvm_face_2D), pointer :: pfac_fvm
cnt_inlet = 0
cnt_outlet = 0
cnt_wall = 0
! Create left cell - right cell table for boundary faces
do icel = 1, list_cell%nbelm
pcel => list_cell%cell(icel)%p
do ifac = 1, 4
pfac => pcel%faces(ifac)
if (pfac%bc_typ == 1) then ! Airfoil - paroi solid
cnt_wall = cnt_wall + 1
fac = pfac%idface
lr_cell(fac, 1) = icel
lr_cell(fac, 2) = cnt_wall ! dummy cell for solid wall bc
endif
if (pfac%bc_typ == 2) then ! Inflow
cnt_inlet = cnt_inlet + 1
fac = pfac%idface
lr_cell(fac, 1) = icel
lr_cell(fac, 2) = cnt_inlet ! dummy cell for inlet bc
endif
if (pfac%bc_typ == 3) then ! Outflow
cnt_outlet = cnt_outlet + 1
fac = pfac%idface
lr_cell(fac, 1) = icel
lr_cell(fac, 2) = cnt_outlet ! dummy cell for outlet bc
endif
enddo
enddo
! Create left cell - right cell table for internal faces
do ifac = 1, nbfaces
pfac_fvm => faces_fvm%face_2D(ifac)%f
if (associated(pfac_fvm%left_cell) .and. associated(pfac_fvm%right_cell)) then
lr_cell(ifac, 1) = pfac_fvm%left_cell%ident
lr_cell(ifac, 2) = pfac_fvm%right_cell%ident
endif
enddo
end subroutine assign_lr_cell
!----------------------------------------------------------------------
subroutine assign_lr_cell_multi_elem_airfoil
use mod_struct_to_array, only: lr_cell
implicit none
integer :: ifac, icel, fac
integer :: cnt_inlet, cnt_wall
type(cell_2D), pointer :: pcel
type(face), pointer :: pfac
type(fvm_face_2D), pointer :: pfac_fvm
cnt_inlet = 0
cnt_wall = 0
! Create left cell - right cell table for boundary faces
do icel = 1, list_cell%nbelm
pcel => list_cell%cell(icel)%p
do ifac = 1, 4
pfac => pcel%faces(ifac)
if (pfac%bc_typ == 2 .or. pfac%bc_typ == 3 .or. pfac%bc_typ == 4) then ! Airfoil - paroi solid
cnt_wall = cnt_wall + 1
fac = pfac%idface
lr_cell(fac, 1) = icel
lr_cell(fac, 2) = cnt_wall ! dummy cell for solid wall bc
endif
if (pfac%bc_typ == 1) then ! Inflow
cnt_inlet = cnt_inlet + 1
fac = pfac%idface
lr_cell(fac, 1) = icel
lr_cell(fac, 2) = cnt_inlet ! dummy cell for inlet bc
endif
enddo
enddo
! Create left cell - right cell table for internal faces
do ifac = 1, nbfaces
pfac_fvm => faces_fvm%face_2D(ifac)%f
if (associated(pfac_fvm%left_cell) .and. associated(pfac_fvm%right_cell)) then
lr_cell(ifac, 1) = pfac_fvm%left_cell%ident
lr_cell(ifac, 2) = pfac_fvm%right_cell%ident
endif
enddo
end subroutine assign_lr_cell_multi_elem_airfoil
!----------------------------------------------------------------------
subroutine calcul_flux
use mod_flux_kfvs
use mod_struct_to_array
implicit none
integer :: ifac, left_cell, right_cell
real(8) :: flux_plus(1:4), flux_minus(1:4)
if (.not. allocated(flux)) then
allocate(flux(1:nbfaces,1:4))
endif
do ifac = 1, nbfaces
left_cell = lr_cell(ifac,1)
right_cell = lr_cell(ifac,2)
if (bc_typ(ifac) == 0) then
flux_plus(:) = fluxp(rho(left_cell), ux(left_cell), uy(left_cell), &
& e(left_cell), p(left_cell), t(left_cell), a(left_cell), b(left_cell), &
& norm_x(ifac), norm_y(ifac))
flux_minus(:) = fluxm(rho(right_cell), ux(right_cell), uy(right_cell), &
& e(right_cell), p(right_cell), t(right_cell), a(right_cell), b(right_cell), &
& norm_x(ifac), norm_y(ifac))
flux(ifac,:) = len_norm(ifac) * (flux_plus(:) + flux_minus(:))
endif
if (bc_typ(ifac) == 1) then !solid wall
flux_plus(:) = fluxp(rho(left_cell), ux(left_cell), uy(left_cell), &
& e(left_cell), p(left_cell), t(left_cell), a(left_cell), b(left_cell), &
& norm_x(ifac), norm_y(ifac))
flux_minus(:) = fluxm(vardummy_paroi_solid(right_cell,1), vardummy_paroi_solid(right_cell,2), vardummy_paroi_solid(right_cell,3), &
& vardummy_paroi_solid(right_cell,8), vardummy_paroi_solid(right_cell,5), vardummy_paroi_solid(right_cell,4), vardummy_paroi_solid(right_cell,6), &
& vardummy_paroi_solid(right_cell,7), norm_x(ifac), norm_y(ifac))
flux(ifac,:) = len_norm(ifac) * (flux_plus(:) + flux_minus(:))
endif
if (bc_typ(ifac) == 2) then ! Inflow
flux_plus(:) = fluxp(rho(left_cell), ux(left_cell), uy(left_cell), &
& e(left_cell), p(left_cell), t(left_cell), a(left_cell), b(left_cell), &
& norm_x(ifac), norm_y(ifac))
flux_minus(:) = fluxm(vardummy_entree(right_cell,1), vardummy_entree(right_cell,2), vardummy_entree(right_cell,3), &
& vardummy_entree(right_cell,8), vardummy_entree(right_cell,5), vardummy_entree(right_cell,4), vardummy_entree(right_cell,6), vardummy_entree(right_cell,7), &
& norm_x(ifac), norm_y(ifac))
flux(ifac,:) = len_norm(ifac) * (flux_plus(:) + flux_minus(:))
endif
if (bc_typ(ifac) == 3) then ! Outflow
flux_plus(:) = fluxp(rho(left_cell), ux(left_cell), uy(left_cell), &
& e(left_cell), p(left_cell), t(left_cell), a(left_cell), b(left_cell), &
& norm_x(ifac), norm_y(ifac))
flux_minus(:) = fluxm(vardummy_sortie(right_cell,1), vardummy_sortie(right_cell,2), vardummy_sortie(right_cell,3), &
& vardummy_sortie(right_cell,8), vardummy_sortie(right_cell,5), vardummy_sortie(right_cell,4), vardummy_sortie(right_cell,6), vardummy_sortie(right_cell,7), &
& norm_x(ifac), norm_y(ifac))
flux(ifac,:) = len_norm(ifac) * (flux_plus(:) + flux_minus(:))
endif
enddo
end subroutine calcul_flux
!----------------------------------------------------------------------
subroutine calcul_flux_multi_elem_airfoil
use mod_flux_kfvs
use mod_struct_to_array
implicit none
integer :: ifac, left_cell, right_cell
real(8) :: flux_plus(1:4), flux_minus(1:4)
if (.not. allocated(flux)) then
allocate(flux(1:nbfaces,1:4))
endif
do ifac = 1, nbfaces
left_cell = lr_cell(ifac,1)
right_cell = lr_cell(ifac,2)
if (bc_typ(ifac) == 0) then
flux_plus(:) = fluxp(rho(left_cell), ux(left_cell), uy(left_cell), &
& e(left_cell), p(left_cell), t(left_cell), a(left_cell), b(left_cell), &
& norm_x(ifac), norm_y(ifac))
flux_minus(:) = fluxm(rho(right_cell), ux(right_cell), uy(right_cell), &
& e(right_cell), p(right_cell), t(right_cell), a(right_cell), b(right_cell), &
& norm_x(ifac), norm_y(ifac))
flux(ifac,:) = len_norm(ifac) * (flux_plus(:) + flux_minus(:))
endif
if (bc_typ(ifac) == 2 .or. bc_typ(ifac) == 3 .or. bc_typ(ifac) == 4) then !solid wall
flux_plus(:) = fluxp(rho(left_cell), ux(left_cell), uy(left_cell), &
& e(left_cell), p(left_cell), t(left_cell), a(left_cell), b(left_cell), &
& norm_x(ifac), norm_y(ifac))
flux_minus(:) = fluxm(vardummy_paroi_solid(right_cell,1), vardummy_paroi_solid(right_cell,2), vardummy_paroi_solid(right_cell,3), &
& vardummy_paroi_solid(right_cell,8), vardummy_paroi_solid(right_cell,5), vardummy_paroi_solid(right_cell,4), vardummy_paroi_solid(right_cell,6), &
& vardummy_paroi_solid(right_cell,7), norm_x(ifac), norm_y(ifac))
flux(ifac,:) = len_norm(ifac) * (flux_plus(:) + flux_minus(:))
endif
if (bc_typ(ifac) == 1) then ! Inflow
flux_plus(:) = fluxp(rho(left_cell), ux(left_cell), uy(left_cell), &
& e(left_cell), p(left_cell), t(left_cell), a(left_cell), b(left_cell), &
& norm_x(ifac), norm_y(ifac))
flux_minus(:) = fluxm(vardummy_entree(right_cell,1), vardummy_entree(right_cell,2), vardummy_entree(right_cell,3), &
& vardummy_entree(right_cell,8), vardummy_entree(right_cell,5), vardummy_entree(right_cell,4), vardummy_entree(right_cell,6), vardummy_entree(right_cell,7), &
& norm_x(ifac), norm_y(ifac))
flux(ifac,:) = len_norm(ifac) * (flux_plus(:) + flux_minus(:))
endif
enddo
end subroutine calcul_flux_multi_elem_airfoil
!----------------------------------------------------------------------
subroutine calcul_rhs
use mod_struct_to_array
implicit none
integer :: ifac, left_cell, right_cell
if (.not. allocated(rhs)) then
allocate(rhs(list_cell%nbelm,4))
endif
rhs = 0.0d0
do ifac = 1, nbfaces
left_cell = lr_cell(ifac,1)
right_cell = lr_cell(ifac,2)
if (bc_typ(ifac) == 0) then
rhs(left_cell,:) = rhs(left_cell,:) - flux(ifac,:)
rhs(right_cell,:) = rhs(right_cell,:) + flux(ifac,:)
endif
if (bc_typ(ifac) /= 0) then
rhs(left_cell,:) = rhs(left_cell,:) - flux(ifac,:)
endif
enddo
end subroutine calcul_rhs
!----------------------------------------------------------------------
subroutine euler_time_iteration
use mod_struct_to_array
implicit none
integer :: icel
do icel = 1, list_cell%nbelm
vect_unew(icel,:) = vect_u(icel,:) + dt / vol(icel) * rhs(icel,:)
enddo
end subroutine euler_time_iteration
!----------------------------------------------------------------------
subroutine calcul_rho_ux_uy_t
implicit none
integer :: nbelm
nbelm = list_cell%nbelm
rho(1:nbelm) = vect_u(1:nbelm,1)
ux(1:nbelm) = vect_u(1:nbelm,2) / rho(1:nbelm)
uy(1:nbelm) = vect_u(1:nbelm,3) / rho(1:nbelm)
t(1:nbelm) = 2.0d0/(3.0d0 * r_gaz * rho(1:nbelm)) *(vect_u(1:nbelm,4)-0.5d0*rho(1:nbelm)*(ux(1:nbelm)**2+uy(1:nbelm)**2))
end subroutine calcul_rho_ux_uy_t
!----------------------------------------------------------------------
subroutine write_pressure_coefficient(iter) ! not accurate
implicit none
integer, intent(in):: iter
real(8) :: rhoref
real(8) :: velref
real(8) :: temref
character(7) :: citer
character(300) :: foutput
integer :: ifac, left_cell, ilocfac
type(cell_2D), pointer :: pcel
type(face), pointer :: pfac
real(8) :: cp, pinf, ploc
real(8) :: vinf
rhoref = rho_init
velref = sqrt(ux_init**2 + uy_init**2)
temref = t_init
vinf = velref
pinf = rhoref * r_gaz * temref
write(citer,'(I7.7)') iter
foutput = 'Cp_'//trim(fname)//'_'//trim(citer)//'.txt'
open(unit = 20, file = foutput, status = 'replace', position = 'append')
write(20,*) 'X, Y, -Cp'
do ifac = 1, nbfaces
if (bc_typ(ifac) == 1) then ! solid wall
left_cell = lr_cell(ifac,1)
pcel => list_cell%cell(left_cell)%p
ploc = rho(left_cell) * r_gaz * t(left_cell)
cp = 2.0d0 * (ploc - pinf) / (pinf * velref**2 )
do ilocfac = 1, 4
pfac => pcel%faces(ilocfac)
if (pfac%bc_typ == 1) then
write(20,*) pfac%centroid%x, pfac%centroid%y, -cp
endif
enddo
endif
enddo
close(unit = 20)
end subroutine write_pressure_coefficient
!----------------------------------------------------------------------
subroutine chk_converge(iter)
implicit none
integer, intent(in) :: iter
real(8), parameter :: tol = 1.0d-9
integer :: i
real(8) :: dr, drho
logical :: lexist
dr = 0.0d0
drho = 0.0d0
do i = 1, list_cell%nbelm
dr = vect_unew(i,1) - vect_u(i,1)
drho = drho + dr*dr
enddo
drho = sqrt(drho)
inquire(file = 'residual.txt', exist = lexist)
if (.not. lexist) then
open(unit = 20, file = 'residual.txt', status = 'new', position = 'append')
write(20,'(A20xA30)') 'Iteration', 'Residual of density'
write(20,'(I20xF30.20)') iter, drho
close(unit = 20)
else if (lexist) then
open(unit = 20, file = 'residual.txt', action = 'write', position = 'append')
write(20,'(I20xF30.20)') iter, drho
close(unit = 20)
endif
if (drho <= tol .and. iter /= 1) then
write(*,20) iter
call write_solution_vtk(iter)
call write_pressure_coefficient(iter)
stop
end if
20 format('Converged after ', I9, ' iterations.')
end subroutine chk_converge
end module