mod_compute_cell_cons_advection_term_exp_generic_weno Module Reference

Explicit WENO scheme (generic) for the advection equation.

Functions/Subroutines
subroutine	compute_cell_cons_advection_term_exp_upwind_generic_weno (velocity, time_step, scalar, divut, flux_type, directions, weno_scheme_backward, weno_scheme_forward)
	Fills divuT with \( div(u \cdot T) \) with a generic weno scheme Non regular grid.
subroutine	compute_cell_cons_advection_term_exp_centered_generic_weno (velocity, time_step, scalar, divut, flux_type, directions, weno_scheme_centered)
	Fills divuT with \( div(u \cdot T) \) with a generic weno scheme Non regular grid.
subroutine	compute_cell_advection_term_explicit_weno3_fd_wrapper (velocity, time_step, scalar, flux_type, directions, divut)
	Wrapper function for compute_cell_advection_term_explicit_weno3_fd.
subroutine	compute_cell_advection_term_explicit_weno5_fd_wrapper (velocity, time_step, scalar, flux_type, directions, divut)
	Wrapper function for compute_cell_advection_term_explicit_weno5_fd.
subroutine	compute_cell_advection_term_explicit_weno5_fd (velocity, scalar, divut)
	Fills \( \nabla \cdot (u \cdot T) \) 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_cell_advection_term_explicit_weno3_fd (velocity, scalar, divut)
	Fills \( \nabla \cdot (u \cdot T) \) 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_cell_advection_term_explicit_weno3_fd()

subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_advection_term_explicit_weno3_fd	(	type(t_face_field), intent(in)	velocity,
		double precision, dimension(:,:,:), intent(in)	scalar,
		double precision, dimension(:,:,:), intent(inout)	divut )

Parameters

[in]	velocity	velocity field
[in]	scalar	scalar cell centered field
[in,out]	divut	\( div(u \cdot T) \) [2] Jiang, 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_cell_advection_term_explicit_weno3_fd_wrapper()

subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_advection_term_explicit_weno3_fd_wrapper	(	type(t_face_field), intent(in)	velocity,
		double precision, intent(in)	time_step,
		double precision, dimension(:,:,:), intent(in)	scalar,
		type(t_fv_flux), intent(in)	flux_type,
		integer, dimension(:), intent(in)	directions,
		double precision, dimension(:,:,:), intent(inout)	divut )

See also

compute_cell_advection_term_explicit_weno3_fd

compute_cell_advection_term_explicit_weno5_fd()

subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_advection_term_explicit_weno5_fd	(	type(t_face_field), intent(in)	velocity,
		double precision, dimension(:,:,:), intent(in)	scalar,
		double precision, dimension(:,:,:), intent(inout)	divut )

Parameters

[in]	velocity	velocity field
[in]	scalar	scalar cell centered field
[in,out]	divut	\( div(u \cdot T) \)

[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_cell_advection_term_explicit_weno5_fd_wrapper()

subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_advection_term_explicit_weno5_fd_wrapper	(	type(t_face_field), intent(in)	velocity,
		double precision, intent(in)	time_step,
		double precision, dimension(:,:,:), intent(in)	scalar,
		type(t_fv_flux), intent(in)	flux_type,
		integer, dimension(:), intent(in)	directions,
		double precision, dimension(:,:,:), intent(inout)	divut )

See also

compute_cell_advection_term_explicit_weno5_fd

compute_cell_cons_advection_term_exp_centered_generic_weno()

subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_cons_advection_term_exp_centered_generic_weno	(	type(t_face_field), intent(in)	velocity,
		double precision, intent(in)	time_step,
		double precision, dimension(:,:,:), intent(in)	scalar,
		double precision, dimension(:,:,:), intent(inout)	divut,
		type(t_fv_flux), intent(in)	flux_type,
		integer, dimension(:), intent(in)	directions,
		class(t_int_weno_scheme), intent(inout)	weno_scheme_centered )

Parameters

[in]	velocity	the velocity u
[in]	scalar	the scalar T to be advected
[in]	flux_type	the flux type
[in]	time_step	the time step \( \delta t^{n} = t^{n+1} - t^{n} \)
[in]	directions	the vector made of directions ([1,2,3] for all of them). This is used for splitted methods.
[in,out]	weno_scheme_centered	the given WENO scheme for centered interpolation
[in,out]	divut	the resulting explicit term

compute_cell_cons_advection_term_exp_upwind_generic_weno()

subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_cons_advection_term_exp_upwind_generic_weno	(	type(t_face_field), intent(in)	velocity,
		double precision, intent(in)	time_step,
		double precision, dimension(:,:,:), intent(in)	scalar,
		double precision, dimension(:,:,:), intent(inout)	divut,
		type(t_fv_flux), intent(in)	flux_type,
		integer, dimension(:), intent(in)	directions,
		class(t_int_weno_scheme), intent(inout)	weno_scheme_backward,
		class(t_int_weno_scheme), intent(inout)	weno_scheme_forward )

Parameters

[in]	velocity	the velocity u
[in]	scalar	the scalar T to be advected
[in]	flux_type	the flux type
[in]	time_step	the time step \( \delta t^{n} = t^{n+1} - t^{n} \)
[in]	directions	the vector made of directions ([1,2,3] for all of them or [1] for only "x"). This is used for splitted methods.
[in,out]	weno_scheme_backward	the given WENO scheme for backward interpolation
[in,out]	weno_scheme_forward	the given WENO scheme for forward interpolation
[in,out]	divut	the resulting explicit term

weno3_gen()

subroutine mod_compute_cell_cons_advection_term_exp_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_cell_cons_advection_term_exp_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