mod_compute_div_u_psi_term_explicit_generic_weno Module Reference

Explicit inertial term with an upwind generic weno scheme.

Functions/Subroutines
subroutine	compute_div_u_psi_term_explicit_generic_weno (psi, velocity, dt, flux_type, directions, divupsi, weno_scheme_backward, weno_scheme_forward)
	Compute the conservative advection term term with a generic explicit WENO scheme.
subroutine	compute_face_advection_term_explicit_weno5_fd_wrapper (psi, velocity, dt, flux_type, directions, divupsi)
	Wrapper function for compute_face_advection_term_explicit_weno5_fd.
subroutine	compute_face_advection_term_explicit_weno3_fd_wrapper (psi, velocity, dt, flux_type, directions, divupsi)
	Wrapper function for compute_face_advection_term_explicit_weno3_fd.
subroutine	compute_face_advection_term_explicit_weno5_fd (velocityl, velocityr, advec_explicit)
	Fills \( \rho \nabla \cdot (\mathbf{u} \otimes \mathbf{u}) \) with a \( 5^{th} \) order finite difference based WENO scheme [1].
subroutine	weno5_gen (flux_in, flux_out, weno_select)
	Computes flux for a \( 5^{th} \) order finite difference based WENO scheme.
subroutine	compute_face_advection_term_explicit_weno3_fd (velocityl, velocityr, advec_explicit)
	Fills \( \rho \nabla \cdot (\mathbf{u} \otimes \mathbf{u}) \) with a \( 3^{rd} \) order finite difference based WENO scheme [2].
subroutine	weno3_gen (flux_in, flux_out, weno_select)
	Computes flux for a \( 3^{th} \) order finite difference based WENO scheme.

Function/Subroutine Documentation

compute_div_u_psi_term_explicit_generic_weno()

subroutine mod_compute_div_u_psi_term_explicit_generic_weno::compute_div_u_psi_term_explicit_generic_weno	(	type(t_face_field), intent(in)	psi,
		type(t_face_field), intent(in)	velocity,
		double precision, intent(in)	dt,
		type(t_fv_flux), intent(in)	flux_type,
		integer, dimension(:), intent(in)	directions,
		type(t_face_field), intent(inout)	divupsi,
		class(t_int_weno_scheme), intent(inout)	weno_scheme_backward,
		class(t_int_weno_scheme), intent(inout)	weno_scheme_forward )

Todo

MCO: use the mean face value for the velocity at orthogonal faces

compute_face_advection_term_explicit_weno3_fd()

subroutine mod_compute_div_u_psi_term_explicit_generic_weno::compute_face_advection_term_explicit_weno3_fd	(	type(t_face_field), intent(in)	velocityl,
		type(t_face_field), intent(in)	velocityr,
		type(t_face_field), intent(inout)	advec_explicit )

Parameters

[in]	velocityL	lower face velocity field
[in]	velocityR	upper face velocity field
[in,out]	advec_explicit	\( \rho \nabla \cdot (\mathbf{u} \otimes \mathbf{u}) \) [2] iang, G.-S. and Peng, D., Weighted ENO Schemes for Hamilton–Jacobi Equations, SIAM J. Sci. Comput., Vol. 21, No. 6, Dec. 1999, pp. 2126–2143.

Todo

[AJ]: Generalize for rectilinear grids. Only supports Cartesian grids.

compute_face_advection_term_explicit_weno3_fd_wrapper()

subroutine mod_compute_div_u_psi_term_explicit_generic_weno::compute_face_advection_term_explicit_weno3_fd_wrapper	(	type(t_face_field), intent(in)	psi,
		type(t_face_field), intent(in)	velocity,
		double precision, intent(in)	dt,
		type(t_fv_flux), intent(in)	flux_type,
		integer, dimension(:), intent(in)	directions,
		type(t_face_field), intent(inout)	divupsi )

See also

compute_face_advection_term_explicit_weno3_fd

compute_face_advection_term_explicit_weno5_fd()

subroutine mod_compute_div_u_psi_term_explicit_generic_weno::compute_face_advection_term_explicit_weno5_fd	(	type(t_face_field), intent(in)	velocityl,
		type(t_face_field), intent(in)	velocityr,
		type(t_face_field), intent(inout)	advec_explicit )

Parameters

[in]	velocityL	lower face velocity field
[in]	velocityR	upper face velocity field
[in,out]	advec_explicit	\( \rho \nabla \cdot (\mathbf{u} \otimes \mathbf{u}) \) [1] Jiang, G.-S. and Shu, C.-W., Efficient Implementation of Weighted ENO Schemes, Journal of Computational Physics, Vol. 126, No. 1, 1996, pp. 202-228 .

Todo

[AJ]: Generalize for rectilinear grids. Only supports Cartesian grids.

compute_face_advection_term_explicit_weno5_fd_wrapper()

subroutine mod_compute_div_u_psi_term_explicit_generic_weno::compute_face_advection_term_explicit_weno5_fd_wrapper	(	type(t_face_field), intent(in)	psi,
		type(t_face_field), intent(in)	velocity,
		double precision, intent(in)	dt,
		type(t_fv_flux), intent(in)	flux_type,
		integer, dimension(:), intent(in)	directions,
		type(t_face_field), intent(inout)	divupsi )

See also

compute_face_advection_term_explicit_weno5_fd

weno3_gen()

subroutine mod_compute_div_u_psi_term_explicit_generic_weno::weno3_gen	(	double precision, dimension (:), intent(in)	flux_in,
		double precision, intent(out)	flux_out,
		integer, intent(in)	weno_select )

Parameters

[in]	flux_in	input values to determine WENO flux
[out]	flux_out	WENO flux
[in]	weno_select	upwinding direction

weno5_gen()

subroutine mod_compute_div_u_psi_term_explicit_generic_weno::weno5_gen	(	double precision, dimension (:,:), intent(in)	flux_in,
		double precision, dimension (:), intent(out)	flux_out,
		integer, intent(in)	weno_select )

Parameters

[in]	flux_in	input values to determine WENO flux
[out]	flux_out	WENO flux
[in]	weno_select	upwinding direction