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Semi-Lagrangian Library
Modular library for kinetic and gyrokinetic simulations of plasmas in fusion energy devices.
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sll_t_maxwell_3d_fem_fft Type Reference
Inheritance diagram for sll_t_maxwell_3d_fem_fft:
Collaboration diagram for sll_t_maxwell_3d_fem_fft:

Private Member Functions

procedure compute_e_from_b => sll_s_compute_e_from_b_3d_fem_fft
 Solve E and B part of Amperes law with B constant in time. More...
 
procedure compute_b_from_e => sll_s_compute_b_from_e_3d_fem_fft
 Solve Faraday equation with E constant in time. More...
 
procedure compute_curl_part => sll_s_compute_curl_part_3d_fem_fft
 Solve source-free Maxwell's equations. More...
 
procedure compute_e_from_rho => sll_s_compute_e_from_rho_3d_fem_fft
 Solve E from rho using Poisson. More...
 
procedure compute_rho_from_e => sll_s_compute_rho_from_e_3d_fem_fft
 Compute rho from E. More...
 
procedure compute_e_from_j => sll_s_compute_e_from_j_3d_fem_fft
 Compute E from the current j. More...
 
procedure compute_phi_from_rho => sll_s_compute_phi_from_rho_3d_fem_fft
 Compute phi from rho (by solving the quasi-neutrality equation) More...
 
procedure compute_phi_from_j => sll_s_compute_phi_from_j_3d_fem_fft
 Compute phi from j (dynamic of quasi-neutrality equation for adiabatic electrons) More...
 
procedure compute_rhs_from_function => sll_s_compute_rhs_fem_fft
 Compute integral over given function tested by the basis. More...
 
procedure l2projection => l2projection_3d_fem_fft
 Compute L_2 projection of a given function. More...
 
procedure l2norm_squared => l2norm_squared_3d_fem_fft
 Compute the square of the L2 norm of a given vector. More...
 
procedure inner_product => inner_product_3d_fem_fft
 Inner product of two dof-vectors with mass matrix. More...
 
procedure init => init_3d_fem_fft
 Initialize the Maxwell class. More...
 
procedure free => free_3d_fem_fft
 Free Maxwell class. More...
 
procedure multiply_g
 Multiplication with gradient matrix. More...
 
procedure multiply_gt
 Multiplication with transposed gradient matrix
More...
 
procedure multiply_c
 Multiplication with curl matrix. More...
 
procedure multiply_ct
 Multiplication with transposed curl matrix. More...
 
procedure multiply_mass => multiply_mass_3d_fem_fft
 Product with the mass matrix. More...
 
procedure multiply_mass_inverse => multiply_mass_inverse_all
 Invert mass matrix. More...
 

Private Attributes

type(sll_t_linear_solver_spline_mass_fftinverse_mass_0
 Fourier solver for 0-form mass matrix. More...
 
type(sll_t_linear_solver_spline_mass_fft), dimension(3) inverse_mass_1
 Fourier solver for 1-form mass matrix. More...
 
type(sll_t_linear_solver_spline_mass_fft), dimension(3) inverse_mass_2
 Fourier solver for 2-form mass matrix. More...
 
type(sll_t_poisson_3d_fem_fftpoisson_fft
 Fourier solver for Poisson matrix. More...
 
logical adiabatic_electrons = .false.
 Set true if solver with adiabatic electrions. More...
 
type(sll_t_matrix_csrmass0
 0-form mass matrix More...
 
type(sll_t_matrix_csr), dimension(3, 3) mass1d
 1D mass matrices More...
 
type(sll_t_linear_operator_kron), dimension(3) mass1
 Tensorproduct 1-form mass matrix. More...
 
type(sll_t_linear_operator_kron), dimension(3) mass2
 Tensorproduct 2-form mass matrix. More...
 
type(sll_t_linear_operator_maxwell_eb_schurlinear_op_schur_eb
 Schur complement operator for advect_eb. More...
 
type(sll_t_profile_functionsprofile
 temperature and density profiles More...
 

Detailed Description

Definition at line 72 of file sll_m_maxwell_3d_fem_fft.F90.

Member Function/Subroutine Documentation

◆ compute_b_from_e()

procedure compute_b_from_e
private

Solve Faraday equation with E constant in time.

Definition at line 108 of file sll_m_maxwell_3d_fem_fft.F90.

◆ compute_curl_part()

procedure compute_curl_part
private

Solve source-free Maxwell's equations.

Definition at line 110 of file sll_m_maxwell_3d_fem_fft.F90.

◆ compute_e_from_b()

procedure compute_e_from_b
private

Solve E and B part of Amperes law with B constant in time.

Definition at line 106 of file sll_m_maxwell_3d_fem_fft.F90.

◆ compute_e_from_j()

procedure compute_e_from_j
private

Compute E from the current j.

Definition at line 116 of file sll_m_maxwell_3d_fem_fft.F90.

◆ compute_e_from_rho()

procedure compute_e_from_rho
private

Solve E from rho using Poisson.

Definition at line 112 of file sll_m_maxwell_3d_fem_fft.F90.

◆ compute_phi_from_j()

procedure compute_phi_from_j
private

Compute phi from j (dynamic of quasi-neutrality equation for adiabatic electrons)

Definition at line 120 of file sll_m_maxwell_3d_fem_fft.F90.

◆ compute_phi_from_rho()

procedure compute_phi_from_rho
private

Compute phi from rho (by solving the quasi-neutrality equation)

Definition at line 118 of file sll_m_maxwell_3d_fem_fft.F90.

◆ compute_rho_from_e()

procedure compute_rho_from_e
private

Compute rho from E.

Definition at line 114 of file sll_m_maxwell_3d_fem_fft.F90.

◆ compute_rhs_from_function()

procedure compute_rhs_from_function
private

Compute integral over given function tested by the basis.

Definition at line 122 of file sll_m_maxwell_3d_fem_fft.F90.

◆ free()

procedure free
private

Free Maxwell class.

Definition at line 132 of file sll_m_maxwell_3d_fem_fft.F90.

◆ init()

procedure init
private

Initialize the Maxwell class.

Definition at line 130 of file sll_m_maxwell_3d_fem_fft.F90.

◆ inner_product()

procedure inner_product
private

Inner product of two dof-vectors with mass matrix.

Definition at line 128 of file sll_m_maxwell_3d_fem_fft.F90.

◆ l2norm_squared()

procedure l2norm_squared
private

Compute the square of the L2 norm of a given vector.

Definition at line 126 of file sll_m_maxwell_3d_fem_fft.F90.

◆ l2projection()

procedure l2projection
private

Compute L_2 projection of a given function.

Definition at line 124 of file sll_m_maxwell_3d_fem_fft.F90.

◆ multiply_c()

procedure multiply_c
private

Multiplication with curl matrix.

Definition at line 138 of file sll_m_maxwell_3d_fem_fft.F90.

◆ multiply_ct()

procedure multiply_ct
private

Multiplication with transposed curl matrix.

Definition at line 140 of file sll_m_maxwell_3d_fem_fft.F90.

◆ multiply_g()

procedure multiply_g
private

Multiplication with gradient matrix.

Definition at line 134 of file sll_m_maxwell_3d_fem_fft.F90.

◆ multiply_gt()

procedure multiply_gt
private

Multiplication with transposed gradient matrix

Definition at line 136 of file sll_m_maxwell_3d_fem_fft.F90.

◆ multiply_mass()

procedure multiply_mass
private

Product with the mass matrix.

Definition at line 142 of file sll_m_maxwell_3d_fem_fft.F90.

◆ multiply_mass_inverse()

procedure multiply_mass_inverse
private

Invert mass matrix.

Definition at line 144 of file sll_m_maxwell_3d_fem_fft.F90.

Member Data Documentation

◆ adiabatic_electrons

logical adiabatic_electrons = .false.
private

Set true if solver with adiabatic electrions.

Definition at line 97 of file sll_m_maxwell_3d_fem_fft.F90.

◆ inverse_mass_0

type(sll_t_linear_solver_spline_mass_fft) inverse_mass_0
private

Fourier solver for 0-form mass matrix.

Definition at line 92 of file sll_m_maxwell_3d_fem_fft.F90.

◆ inverse_mass_1

type(sll_t_linear_solver_spline_mass_fft), dimension(3) inverse_mass_1
private

Fourier solver for 1-form mass matrix.

Definition at line 93 of file sll_m_maxwell_3d_fem_fft.F90.

◆ inverse_mass_2

type(sll_t_linear_solver_spline_mass_fft), dimension(3) inverse_mass_2
private

Fourier solver for 2-form mass matrix.

Definition at line 94 of file sll_m_maxwell_3d_fem_fft.F90.

◆ linear_op_schur_eb

type( sll_t_linear_operator_maxwell_eb_schur ) linear_op_schur_eb
private

Schur complement operator for advect_eb.

Definition at line 103 of file sll_m_maxwell_3d_fem_fft.F90.

◆ mass0

type(sll_t_matrix_csr) mass0
private

0-form mass matrix

Definition at line 99 of file sll_m_maxwell_3d_fem_fft.F90.

◆ mass1

type(sll_t_linear_operator_kron), dimension(3) mass1
private

Tensorproduct 1-form mass matrix.

Definition at line 101 of file sll_m_maxwell_3d_fem_fft.F90.

◆ mass1d

type(sll_t_matrix_csr), dimension(3,3) mass1d
private

1D mass matrices

Definition at line 100 of file sll_m_maxwell_3d_fem_fft.F90.

◆ mass2

type(sll_t_linear_operator_kron), dimension(3) mass2
private

Tensorproduct 2-form mass matrix.

Definition at line 102 of file sll_m_maxwell_3d_fem_fft.F90.

◆ poisson_fft

type(sll_t_poisson_3d_fem_fft ) poisson_fft
private

Fourier solver for Poisson matrix.

Definition at line 95 of file sll_m_maxwell_3d_fem_fft.F90.

◆ profile

type(sll_t_profile_functions) profile
privateinherited

temperature and density profiles

Definition at line 42 of file sll_m_maxwell_3d_base.F90.

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