Poisson equation

It discretizes and solves the Poisson equation. More...

Functions
subroutine	mod_solve_cell_poisson_equation::solve_cell_poisson_equation (scalar_field, diffusion_coefficient, equation_source_term, linear_term, ibc_variable, equation_isd_target, equation_bc, equation_diffusion_term_discretization_type, equation_diffusion_term_scheme, equation_has_linear_term, equation_has_ghost_boundary_cells, equation_has_immersed_boundaries, equation_stencil, equation_solver, equation_ls_map, equation_name, equation_variables_name)
	It discretizes and solves the Poisson equation defined on cell grid.

Detailed Description

This routine solves the Poisson equation (with an optional linear term):

\[ \mathrm{div}\left( D \mathrm{\mathbf{grad}}(\phi^{n+1}) \right) + a\phi^{n+1} = s \]

Function Documentation

solve_cell_poisson_equation()

subroutine mod_solve_cell_poisson_equation::solve_cell_poisson_equation	(	double precision, dimension(:,:,:), intent(inout)	scalar_field,
		double precision, dimension(:,:,:), intent(in)	diffusion_coefficient,
		double precision, dimension(:,:,:), intent(in)	equation_source_term,
		double precision, dimension(:,:,:), intent(in)	linear_term,
		type(t_immersed_boundary_condition), dimension(:), intent(inout), allocatable	ibc_variable,
		integer, dimension(:), intent(in), allocatable	equation_isd_target,
		type(t_boundary_condition), intent(in)	equation_bc,
		integer, intent(in)	equation_diffusion_term_discretization_type,
		integer, intent(in)	equation_diffusion_term_scheme,
		logical, intent(in)	equation_has_linear_term,
		logical, intent(in)	equation_has_ghost_boundary_cells,
		logical, intent(in)	equation_has_immersed_boundaries,
		type(t_cell_stencil), intent(in)	equation_stencil,
		class(t_linear_solver), intent(inout)	equation_solver,
		type(t_ls_map), intent(in)	equation_ls_map,
		character(len=*), intent(in)	equation_name,
		character(len=*), intent(in)	equation_variables_name )

Parameters

[in]	diffusion_coefficient	Coefficient of diffusion.
[in]	equation_source_term	Source term added to the right-hand side.
[in,out]	scalar_field	Scalar field of the poisson equation. Contains the result.
[in]	linear_term	Contains the coefficient in front of the linear term.
[in]	ibc_variable	Boundary conditions on immersed boundaries.
[in]	equation_isd_target	Subset of immersed boundaries.
[in]	equation_bc	Values for boundary conditions.
[in]	equation_diffusion_term_discretization_type	Type of discretization (implicit/explicit) the diffusion term.
[in]	equation_diffusion_term_scheme	Numerical scheme of the diffusion term
[in]	equation_has_linear_term	Flag to enable the linear term.
[in]	equation_has_immersed_boundaries	Flag to enable immersed boundaries.
[in]	equation_has_ghost_boundary_cells	Flag to enable the ghost cells into the linear system
[in]	equation_stencil	Stencil description.
[in,out]	equation_solver	Linear system solver.
[in]	equation_ls_map	Structure used to map the general numbering to the linear system numbering.
[in]	equation_name	Name of the equation used to display a message.
[in]	equation_variables_name	Name of the variable of the solved equation.