The module features a large database of characteristic boundary conditions (CBC) for the Euler system of equations. This system is augmented by the appropriate advection equations utilized to capture the material interfaces. The closure is achieved by the stiffened equation of state and mixture relations. At this time, the following CBC are available: 1) Slip Wall 2) Nonreflecting Subsonic Buffer 3) Nonreflecting Subsonic Inflow 4) Nonreflecting Subsonic Outflow 5) Force-Free Subsonic Outflow 6) Constant Pressure Subsonic Outflow 7) Supersonic Inflow 8) Supersonic Outflow Please refer to Thompson (1987, 1990) for detailed descriptions. More...

Functions/Subroutines
impure subroutine, public	s_initialize_cbc_module
	The computation of parameters, the allocation of memory, the association of pointers and/or the execution of any other procedures that are necessary to setup the module.

subroutine	s_compute_cbc_coefficients (cbc_dir_in, cbc_loc_in)
	Compute CBC coefficients.

subroutine	s_associate_cbc_coefficients_pointers (cbc_dir_in, cbc_loc_in)

subroutine, public	s_cbc (q_prim_vf, flux_vf, flux_src_vf, cbc_dir_norm, cbc_loc_norm, ix, iy, iz)
	The following is the implementation of the CBC based on the work of Thompson (1987, 1990) on hyperbolic systems. The CBC is indirectly applied in the computation of the right-hand-side (RHS) near the relevant domain boundary through the modification of the fluxes.

subroutine	s_initialize_cbc (q_prim_vf, flux_vf, flux_src_vf, ix, iy, iz)
	The computation of parameters, the allocation of memory, the association of pointers and/or the execution of any other procedures that are required for the setup of the selected CBC.

subroutine	s_finalize_cbc (flux_vf, flux_src_vf)
	Deallocation and/or the disassociation procedures that are necessary in order to finalize the CBC application.

elemental subroutine	s_any_cbc_boundaries (toggle)

impure subroutine, public	s_finalize_cbc_module
	Module deallocation and/or disassociation procedures.

Variables
real(wp), dimension(:, :, :, :), allocatable	q_prim_rsx_vf

real(wp), dimension(:, :, :, :), allocatable	q_prim_rsy_vf

real(wp), dimension(:, :, :, :), allocatable	q_prim_rsz_vf

real(wp), dimension(:, :, :, :), allocatable	f_rsx_vf

real(wp), dimension(:, :, :, :), allocatable	f_src_rsx_vf

real(wp), dimension(:, :, :, :), allocatable	f_rsy_vf

real(wp), dimension(:, :, :, :), allocatable	f_src_rsy_vf

real(wp), dimension(:, :, :, :), allocatable	f_rsz_vf

real(wp), dimension(:, :, :, :), allocatable	f_src_rsz_vf

real(wp), dimension(:, :, :, :), allocatable	flux_rsx_vf_l

real(wp), dimension(:, :, :, :), allocatable	flux_src_rsx_vf_l

real(wp), dimension(:, :, :, :), allocatable	flux_rsy_vf_l

real(wp), dimension(:, :, :, :), allocatable	flux_src_rsy_vf_l

real(wp), dimension(:, :, :, :), allocatable	flux_rsz_vf_l

real(wp), dimension(:, :, :, :), allocatable	flux_src_rsz_vf_l

real(wp), dimension(:), allocatable	ds
	Cell-width distribution in the s-direction.

real(wp), dimension(:, :), allocatable	fd_coef_x
	Finite diff. coefficients x-dir.

real(wp), dimension(:, :), allocatable	fd_coef_y
	Finite diff. coefficients y-dir.

real(wp), dimension(:, :), allocatable	fd_coef_z
	Finite diff. coefficients z-dir.

real(wp), dimension(:, :, :), allocatable	pi_coef_x
	Polynomial interpolant coefficients in x-dir.

real(wp), dimension(:, :, :), allocatable	pi_coef_y
	Polynomial interpolant coefficients in y-dir.

real(wp), dimension(:, :, :), allocatable	pi_coef_z
	Polynomial interpolant coefficients in z-dir.

type(int_bounds_info)	is1

type(int_bounds_info)	is2

type(int_bounds_info)	is3
	Indical bounds in the s1-, s2- and s3-directions.

integer	dj

integer	bcxb

integer	bcxe

integer	bcyb

integer	bcye

integer	bczb

integer	bcze

integer	cbc_dir

integer	cbc_loc

integer	flux_cbc_index

real(wp), dimension(:), allocatable	pres_in

real(wp), dimension(:), allocatable	pres_out

real(wp), dimension(:), allocatable	del_in

real(wp), dimension(:), allocatable	del_out

real(wp), dimension(:, :), allocatable	vel_in

real(wp), dimension(:, :), allocatable	vel_out

real(wp), dimension(:, :), allocatable	alpha_rho_in

real(wp), dimension(:, :), allocatable	alpha_in

Detailed Description

The module features a large database of characteristic boundary conditions (CBC) for the Euler system of equations. This system is augmented by the appropriate advection equations utilized to capture the material interfaces. The closure is achieved by the stiffened equation of state and mixture relations. At this time, the following CBC are available: 1) Slip Wall 2) Nonreflecting Subsonic Buffer 3) Nonreflecting Subsonic Inflow 4) Nonreflecting Subsonic Outflow 5) Force-Free Subsonic Outflow 6) Constant Pressure Subsonic Outflow 7) Supersonic Inflow 8) Supersonic Outflow Please refer to Thompson (1987, 1990) for detailed descriptions.

Function/Subroutine Documentation

◆ s_any_cbc_boundaries()

elemental subroutine m_cbc::s_any_cbc_boundaries ( logical, intent(inout) toggle )

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◆ s_associate_cbc_coefficients_pointers()

subroutine m_cbc::s_associate_cbc_coefficients_pointers	(	integer, intent(in)	cbc_dir_in,
		integer, intent(in)	cbc_loc_in )

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◆ s_cbc()

subroutine, public m_cbc::s_cbc	(	type(scalar_field), dimension(sys_size), intent(in)	q_prim_vf,
		type(scalar_field), dimension(sys_size), intent(inout)	flux_vf,
		type(scalar_field), dimension(sys_size), intent(inout)	flux_src_vf,
		integer, intent(in)	cbc_dir_norm,
		integer, intent(in)	cbc_loc_norm,
		type(int_bounds_info), intent(in)	ix,
		type(int_bounds_info), intent(in)	iy,
		type(int_bounds_info), intent(in)	iz )

The following is the implementation of the CBC based on the work of Thompson (1987, 1990) on hyperbolic systems. The CBC is indirectly applied in the computation of the right-hand-side (RHS) near the relevant domain boundary through the modification of the fluxes.

Parameters

q_prim_vf	Cell-average primitive variables
flux_vf	Cell-boundary-average fluxes
flux_src_vf	Cell-boundary-average flux sources
cbc_dir_norm	CBC coordinate direction
cbc_loc_norm	CBC coordinate location
ix	Index bound in the first coordinate direction
iy	Index bound in the second coordinate direction
iz	Index bound in the third coordinate direction

gamma_method = 1: Ref. Section 2.3.1 Formulation of doi:10.7907/ZKW8-ES97.

gamma_method = 2: c_p / c_v where c_p, c_v are specific heats.

gamma_method = 1: Ref. Section 2.3.1 Formulation of doi:10.7907/ZKW8-ES97.

gamma_method = 2: c_p / c_v where c_p, c_v are specific heats.

gamma_method = 1: Ref. Section 2.3.1 Formulation of doi:10.7907/ZKW8-ES97.

gamma_method = 2: c_p / c_v where c_p, c_v are specific heats.

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◆ s_compute_cbc_coefficients()

subroutine m_cbc::s_compute_cbc_coefficients	(	integer, intent(in)	cbc_dir_in,
		integer, intent(in)	cbc_loc_in )

Compute CBC coefficients.

Parameters

cbc_dir_in	CBC coordinate direction
cbc_loc_in	CBC coordinate location

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◆ s_finalize_cbc()

subroutine m_cbc::s_finalize_cbc	(	type(scalar_field), dimension(sys_size), intent(inout)	flux_vf,
		type(scalar_field), dimension(sys_size), intent(inout)	flux_src_vf )

Deallocation and/or the disassociation procedures that are necessary in order to finalize the CBC application.

Parameters

flux_vf	Cell-boundary-average fluxes
flux_src_vf	Cell-boundary-average flux sources

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◆ s_finalize_cbc_module()

impure subroutine, public m_cbc::s_finalize_cbc_module

Module deallocation and/or disassociation procedures.

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◆ s_initialize_cbc()

subroutine m_cbc::s_initialize_cbc	(	type(scalar_field), dimension(sys_size), intent(in)	q_prim_vf,
		type(scalar_field), dimension(sys_size), intent(in)	flux_vf,
		type(scalar_field), dimension(sys_size), intent(in)	flux_src_vf,
		type(int_bounds_info), intent(in)	ix,
		type(int_bounds_info), intent(in)	iy,
		type(int_bounds_info), intent(in)	iz )

The computation of parameters, the allocation of memory, the association of pointers and/or the execution of any other procedures that are required for the setup of the selected CBC.

Parameters

q_prim_vf	Cell-average primitive variables
flux_vf	Cell-boundary-average fluxes
flux_src_vf	Cell-boundary-average flux sources
ix	Index bound in the first coordinate direction
iy	Index bound in the second coordinate direction
iz	Index bound in the third coordinate direction

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◆ s_initialize_cbc_module()

impure subroutine, public m_cbc::s_initialize_cbc_module

The computation of parameters, the allocation of memory, the association of pointers and/or the execution of any other procedures that are necessary to setup the module.

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Variable Documentation

◆ alpha_in

real(wp), dimension(:, :), allocatable m_cbc::alpha_in

◆ alpha_rho_in

real(wp), dimension(:, :), allocatable m_cbc::alpha_rho_in

◆ bcxb

integer m_cbc::bcxb

◆ bcxe

integer m_cbc::bcxe

◆ bcyb

integer m_cbc::bcyb

◆ bcye

integer m_cbc::bcye

◆ bczb

integer m_cbc::bczb

◆ bcze

integer m_cbc::bcze

◆ cbc_dir

integer m_cbc::cbc_dir

◆ cbc_loc

integer m_cbc::cbc_loc

◆ del_in

real(wp), dimension(:), allocatable m_cbc::del_in

◆ del_out

real(wp), dimension(:), allocatable m_cbc::del_out

◆ dj

integer m_cbc::dj

◆ ds

real(wp), dimension(:), allocatable m_cbc::ds

Cell-width distribution in the s-direction.

◆ f_rsx_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::f_rsx_vf

◆ f_rsy_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::f_rsy_vf

◆ f_rsz_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::f_rsz_vf

◆ f_src_rsx_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::f_src_rsx_vf

◆ f_src_rsy_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::f_src_rsy_vf

◆ f_src_rsz_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::f_src_rsz_vf

◆ fd_coef_x

real(wp), dimension(:, :), allocatable m_cbc::fd_coef_x

Finite diff. coefficients x-dir.

◆ fd_coef_y

real(wp), dimension(:, :), allocatable m_cbc::fd_coef_y

Finite diff. coefficients y-dir.

◆ fd_coef_z

real(wp), dimension(:, :), allocatable m_cbc::fd_coef_z

Finite diff. coefficients z-dir.

◆ flux_cbc_index

integer m_cbc::flux_cbc_index

◆ flux_rsx_vf_l

real(wp), dimension(:, :, :, :), allocatable m_cbc::flux_rsx_vf_l

◆ flux_rsy_vf_l

real(wp), dimension(:, :, :, :), allocatable m_cbc::flux_rsy_vf_l

◆ flux_rsz_vf_l

real(wp), dimension(:, :, :, :), allocatable m_cbc::flux_rsz_vf_l

◆ flux_src_rsx_vf_l

real(wp), dimension(:, :, :, :), allocatable m_cbc::flux_src_rsx_vf_l

◆ flux_src_rsy_vf_l

real(wp), dimension(:, :, :, :), allocatable m_cbc::flux_src_rsy_vf_l

◆ flux_src_rsz_vf_l

real(wp), dimension(:, :, :, :), allocatable m_cbc::flux_src_rsz_vf_l

◆ is1

type(int_bounds_info) m_cbc::is1

◆ is2

type(int_bounds_info) m_cbc::is2

◆ is3

type(int_bounds_info) m_cbc::is3

Indical bounds in the s1-, s2- and s3-directions.

◆ pi_coef_x

real(wp), dimension(:, :, :), allocatable m_cbc::pi_coef_x

Polynomial interpolant coefficients in x-dir.

◆ pi_coef_y

real(wp), dimension(:, :, :), allocatable m_cbc::pi_coef_y

Polynomial interpolant coefficients in y-dir.

◆ pi_coef_z

real(wp), dimension(:, :, :), allocatable m_cbc::pi_coef_z

Polynomial interpolant coefficients in z-dir.

◆ pres_in

real(wp), dimension(:), allocatable m_cbc::pres_in

◆ pres_out

real(wp), dimension(:), allocatable m_cbc::pres_out

◆ q_prim_rsx_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::q_prim_rsx_vf

◆ q_prim_rsy_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::q_prim_rsy_vf

◆ q_prim_rsz_vf

real(wp), dimension(:, :, :, :), allocatable m_cbc::q_prim_rsz_vf

◆ vel_in

real(wp), dimension(:, :), allocatable m_cbc::vel_in

◆ vel_out

real(wp), dimension(:, :), allocatable m_cbc::vel_out

Functions/Subroutines

Variables

Detailed Description

Function/Subroutine Documentation

◆ s_any_cbc_boundaries()

◆ s_associate_cbc_coefficients_pointers()

◆ s_cbc()

◆ s_compute_cbc_coefficients()

◆ s_finalize_cbc()

◆ s_finalize_cbc_module()

◆ s_initialize_cbc()

◆ s_initialize_cbc_module()

Variable Documentation

◆ alpha_in

◆ alpha_rho_in

◆ bcxb

◆ bcxe

◆ bcyb

◆ bcye

◆ bczb

◆ bcze

◆ cbc_dir

◆ cbc_loc

◆ del_in

◆ del_out

◆ dj

◆ ds

◆ f_rsx_vf

◆ f_rsy_vf

◆ f_rsz_vf

◆ f_src_rsx_vf

◆ f_src_rsy_vf

◆ f_src_rsz_vf

◆ fd_coef_x

◆ fd_coef_y

◆ fd_coef_z

◆ flux_cbc_index

◆ flux_rsx_vf_l

◆ flux_rsy_vf_l

◆ flux_rsz_vf_l

◆ flux_src_rsx_vf_l

◆ flux_src_rsy_vf_l

◆ flux_src_rsz_vf_l

◆ is1

◆ is2

◆ is3

◆ pi_coef_x

◆ pi_coef_y

◆ pi_coef_z

◆ pres_in

◆ pres_out

◆ q_prim_rsx_vf

◆ q_prim_rsy_vf

◆ q_prim_rsz_vf

◆ vel_in

◆ vel_out