sll_m_poisson_1d_hmf Module Reference

Description

Module to solve Poisson equation for the HMF model.

Author

Pierre Navaro

You could find more information in

"On numerical Landau damping for splitting methods applied to the Vlasov-HMF model"

by Erwan Faou, Romain Horsin and Frédéric Rousset. https://arxiv.org/abs/1510.06555

Derived types and interfaces
type	sll_t_poisson_1d_hmf
	Implementation of the poisson 1d solver for the Vlasov-HMF model. More...

Functions/Subroutines
subroutine, public	sll_s_poisson_1d_hmf_init (self, eta1_min, eta1_max, nc_eta1, error)
	Initialize the poisson 1d hmf solver. More...
subroutine, public	sll_s_solve_poisson_1d_hmf (self, field, rhs)
	Solve the 1d equation for the Vlasov-HMF model. More...
subroutine	compute_phi_from_rho_1d_hmf (poisson, phi, rho)
	solves More...
subroutine	compute_e_from_rho_1d_hmf (poisson, E, rho)
	solves More...
subroutine, public	sll_s_free_poisson_1d_hmf (self, error)
	Free the poisson 1d hmf solver. More...

Function/Subroutine Documentation

compute_e_from_rho_1d_hmf()

subroutine sll_m_poisson_1d_hmf::compute_e_from_rho_1d_hmf ( class(sll_t_poisson_1d_hmf)  poisson, real(kind=f64), dimension(:), intent(out)  E, real(kind=f64), dimension(:), intent(in)  rho  )

private

solves

\[ E = -\nabla \phi \]

with

\[ -\Delta \phi = \rho \]

in 2d

Definition at line 133 of file sll_m_poisson_1d_hmf.F90.

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compute_phi_from_rho_1d_hmf()

subroutine sll_m_poisson_1d_hmf::compute_phi_from_rho_1d_hmf ( class(sll_t_poisson_1d_hmf)  poisson, real(kind=f64), dimension(:), intent(out)  phi, real(kind=f64), dimension(:), intent(in)  rho  )

private

solves

\[ -\Delta \phi = \rho \]

in 2d

Definition at line 123 of file sll_m_poisson_1d_hmf.F90.

sll_s_free_poisson_1d_hmf()

subroutine, public sll_m_poisson_1d_hmf::sll_s_free_poisson_1d_hmf	(	class(sll_t_poisson_1d_hmf)	self,
		integer(kind=i32), intent(inout)	error
	)

Free the poisson 1d hmf solver.

Parameters

[in,out]

error

error code

Definition at line 143 of file sll_m_poisson_1d_hmf.F90.

sll_s_poisson_1d_hmf_init()

subroutine, public sll_m_poisson_1d_hmf::sll_s_poisson_1d_hmf_init	(	class(sll_t_poisson_1d_hmf), intent(out)	self,
		real(kind=f64), intent(in)	eta1_min,
		real(kind=f64), intent(in)	eta1_max,
		integer(kind=i32), intent(in)	nc_eta1,
		integer(kind=i32), intent(out)	error
	)

Initialize the poisson 1d hmf solver.

Parameters

[out]	self	Solver structure
[in]	nc_eta1	number of cells
[out]	error	error code
[in]	eta1_min	left corner
[in]	eta1_max	right corner

Definition at line 76 of file sll_m_poisson_1d_hmf.F90.

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sll_s_solve_poisson_1d_hmf()

subroutine, public sll_m_poisson_1d_hmf::sll_s_solve_poisson_1d_hmf	(	class(sll_t_poisson_1d_hmf), intent(inout)	self,
		real(kind=f64), dimension(:), intent(out)	field,
		real(kind=f64), dimension(:), intent(in)	rhs
	)

Solve the 1d equation for the Vlasov-HMF model.

Definition at line 99 of file sll_m_poisson_1d_hmf.F90.

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