mod_scalar_advection_tvd_superbee Module Reference

Explicit dimensional splitting Lax-Wendroff TVD SuperBee (LW-TVD-SB) scheme for the advection equation. More...

Functions/Subroutines
double precision function	superbee (beta_coef, teta)
double precision function	vanleer (teta)
double precision function	minmod (teta)
double precision function	mc (teta)
double precision function	tvd_al (beta_coef, teta, time_iter_local)
double precision function	tvd_blend (beta_coef, teta)
double precision function	flux_limiter (beta_coef, teta, time_iter_local)
subroutine	scalar_advection_tvd_superbee (divut, scalar_field, boundary_condition, velocity, time_step, equation_advection_term_splitting_scheme, equation_splitting_time_coef, equation_has_immersed_boundaries, equation_ib_has_one_sided_inner_discretization, equation_ib_inner_discretization_order, ibc_variable, equation_isd_target)
	Fills divuT with \(u \cdot \nabla \phi\) with a LW-TVD-SB. More...
subroutine	scalar_tvd_superbee_splitting (divut, scalar_field_0, boundary_condition, velocity, velocity_grad, local_time_step, n, equation_splitting_time_coef, equation_has_immersed_boundaries, equation_ib_has_one_sided_inner_discretization, equation_ib_inner_discretization_order, ibc_variable, equation_isd_target)

Variables
logical, parameter	force_first_order = .false.

Detailed Description

Be aware that this is not a conservative scheme but a traditional advection scheme.

The equation solved is:

\[ \frac{\partial \phi}{\partial t} + u \cdot \nabla \phi = 0 \]

Solve advection equation with Lax-Wendroff TVD Scheme with a Superbee limiter Splitting Method: Lie Splitting (globally second order for scalar advection)

Function/Subroutine Documentation

scalar_advection_tvd_superbee()

subroutine mod_scalar_advection_tvd_superbee::scalar_advection_tvd_superbee	(	double precision, dimension(nx,ny,nz), intent(inout)	divut,
		double precision, dimension(nx,ny,nz), intent(in)	scalar_field,
		type(t_boundary_condition), intent(in)	boundary_condition,
		type(t_face_field), intent(in)	velocity,
		double precision, intent(in)	time_step,
		integer, intent(in)	equation_advection_term_splitting_scheme,
		double precision, dimension (3), intent(in)	equation_splitting_time_coef,
		logical, intent(in)	equation_has_immersed_boundaries,
		logical, intent(in)	equation_ib_has_one_sided_inner_discretization,
		integer, dimension(:), intent(in)	equation_ib_inner_discretization_order,
		type(t_immersed_boundary_condition), dimension(:), intent(in)	ibc_variable,
		integer, dimension (:), intent(in)	equation_isd_target
	)

Parameters

[in,out]	divut	the resulting field
[in]	scalar_field	the scalar T to be advected
[in]	boundary_condition	Boundary conditions
[in]	velocity	the velocity \( \mathbf{u} \)
[in]	time_step	the time step \( \delta t = t^{n+1} - t^n \)
[in]	equation_advection_term_splitting_scheme
[in]	equation_splitting_time_coef
[in]	equation_has_immersed_boundaries	Flag to enable immersed boundaries.
[in]	equation_ib_has_one_sided_inner_discretization
[in]	equation_ib_inner_discretization_order
[in]	ibc_variable	boundary conditions on immersed boundaries.
[in]	equation_isd_target	Subset of immersed boundaries.