sll_m_maxwell_1d_ps Module Reference

Description

Solve Maxwell's equations in 1D based on a pseudospectral solver.

Author

Katharina Kormann

Derived types and interfaces
type	sll_t_maxwell_1d_ps
	Maxwell solver class with pseudospectral method. More...

Functions/Subroutines
subroutine	sll_s_compute_e_b_1d (self, delta_t, efield_dofs, bfield_dofs)
subroutine	grad_proj0 (self, in, out)
subroutine	proj1_grad (self, in, out)
subroutine	init_1d_ps (self, domain, n_dofs)
subroutine	set_eig_schur_curl_part (self, delta_t)
subroutine	free_1d_ps (self)
real(kind=f64) function	inner_product_1d_ps (self, coefs1_dofs, coefs2_dofs, degree, degree2)
real(kind=f64) function	l2norm_squared_1d_ps (self, coefs_dofs, degree)
subroutine	compute_e_from_j_1d_ps (self, current, component, E)
	Compute E_i from j_i integrated over the time interval using weak Ampere formulation More...
subroutine	compute_field_from_field_1d_ps (self, delta_t, field_in, field_out)
subroutine	compute_curl_part_1d_ps (self, delta_t, efield, bfield, betar)
subroutine	transform_dofs_1d_ps (self, in, out, degree)
subroutine	compute_e_from_rho_1d_ps (self, field_in, field_out)
subroutine	compute_rho_from_e_1d_ps (self, field_in, field_out)
subroutine	complex_product_real (n_dofs, eigvals, in, out)
subroutine	multiply_mass_1d_ps (self, in, out, degree)
subroutine	invert_mass_1d_ps (self, in, out, degree)
subroutine	multiply_g (self, in, out)
subroutine	multiply_gt (self, in, out)
subroutine	compute_rhs_from_function (self, func, degree, coefs_dofs)
	Compute the FEM right-hand-side for a given function f and periodic splines of given degree Its components are $\int f N_i dx$ where $N_i$ is the B-spline starting at $x_i$. More...
subroutine	l2projection (self, func, degree, coefs_dofs)
	Compute the L2 projection of a given function f on periodic splines of given degree. More...
subroutine	compute_phi_from_rho_1d_ps (self, in, phi, efield)
	For model with adiabatic electrons. More...
subroutine	compute_phi_from_j_1d_ps (self, in, phi, efield)
	For model with adiabatic electrons. More...

Function/Subroutine Documentation

complex_product_real()

subroutine sll_m_maxwell_1d_ps::complex_product_real ( integer(kind=i32), intent(in)  n_dofs, real(kind=f64), dimension(:), intent(in)  eigvals, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  out  )

private

Definition at line 424 of file sll_m_maxwell_1d_ps.F90.

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compute_curl_part_1d_ps()

subroutine sll_m_maxwell_1d_ps::compute_curl_part_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), intent(in)  delta_t, real(kind=f64), dimension(:), intent(inout)  efield, real(kind=f64), dimension(:), intent(inout)  bfield, real(kind=f64), optional  betar  )

private

Parameters

[in]	delta_t	Time step
[in,out]	efield	Ey
[in,out]	bfield	Bz
	betar	1/beta

Definition at line 327 of file sll_m_maxwell_1d_ps.F90.

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compute_e_from_j_1d_ps()

subroutine sll_m_maxwell_1d_ps::compute_e_from_j_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), dimension(:), intent(in)  current, integer(kind=i32), intent(in)  component, real(kind=f64), dimension(:), intent(inout)  E  )

private

Compute E_i from j_i integrated over the time interval using weak Ampere formulation

Parameters

	self	Maxwell solver class
[in]	current	Component component of the current integrated over time interval
[in]	component	Component of the Efield to be computed
[in,out]	e	Updated electric field

Definition at line 291 of file sll_m_maxwell_1d_ps.F90.

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compute_e_from_rho_1d_ps()

subroutine sll_m_maxwell_1d_ps::compute_e_from_rho_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), dimension(:), intent(in)  field_in, real(kind=f64), dimension(:), intent(out)  field_out  )

private

Definition at line 398 of file sll_m_maxwell_1d_ps.F90.

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compute_field_from_field_1d_ps()

subroutine sll_m_maxwell_1d_ps::compute_field_from_field_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), intent(in)  delta_t, real(kind=f64), dimension(:), intent(in)  field_in, real(kind=f64), dimension(:), intent(inout)  field_out  )

private

Parameters

[in]	delta_t	Time step
[in]	field_in	Bz
[in,out]	field_out	Ey

Definition at line 316 of file sll_m_maxwell_1d_ps.F90.

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compute_phi_from_j_1d_ps()

subroutine sll_m_maxwell_1d_ps::compute_phi_from_j_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  phi, real(kind=f64), dimension(:), intent(out)  efield  )

private

For model with adiabatic electrons.

Definition at line 544 of file sll_m_maxwell_1d_ps.F90.

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compute_phi_from_rho_1d_ps()

subroutine sll_m_maxwell_1d_ps::compute_phi_from_rho_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  phi, real(kind=f64), dimension(:), intent(out)  efield  )

private

For model with adiabatic electrons.

Definition at line 527 of file sll_m_maxwell_1d_ps.F90.

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compute_rho_from_e_1d_ps()

subroutine sll_m_maxwell_1d_ps::compute_rho_from_e_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), dimension(:), intent(in)  field_in, real(kind=f64), dimension(:), intent(out)  field_out  )

private

Definition at line 411 of file sll_m_maxwell_1d_ps.F90.

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compute_rhs_from_function()

subroutine sll_m_maxwell_1d_ps::compute_rhs_from_function ( class(sll_t_maxwell_1d_ps)  self, procedure(sll_i_function_1d_real64)  func, integer(kind=i32), intent(in)  degree, real(kind=f64), dimension(:), intent(out)  coefs_dofs  )

private

Compute the FEM right-hand-side for a given function f and periodic splines of given degree Its components are $\int f N_i dx$ where $N_i$ is the B-spline starting at $x_i$.

Definition at line 492 of file sll_m_maxwell_1d_ps.F90.

free_1d_ps()

subroutine sll_m_maxwell_1d_ps::free_1d_ps ( class(sll_t_maxwell_1d_ps)  self )

private

Parameters

self	Maxwell solver object

Definition at line 250 of file sll_m_maxwell_1d_ps.F90.

grad_proj0()

subroutine sll_m_maxwell_1d_ps::grad_proj0 ( class(sll_t_maxwell_1d_ps), intent(inout)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  out  )

private

Definition at line 114 of file sll_m_maxwell_1d_ps.F90.

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init_1d_ps()

subroutine sll_m_maxwell_1d_ps::init_1d_ps ( class(sll_t_maxwell_1d_ps), intent(out)  self, real(kind=f64), dimension(2), intent(in)  domain, integer(kind=i32), intent(in)  n_dofs  )

private

Parameters

[out]

self

solver object

Definition at line 141 of file sll_m_maxwell_1d_ps.F90.

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inner_product_1d_ps()

real(kind=f64) function sll_m_maxwell_1d_ps::inner_product_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), dimension(:)  coefs1_dofs, real(kind=f64), dimension(:)  coefs2_dofs, integer(kind=i32)  degree, integer(kind=i32), optional  degree2  )

private

Parameters

self	Maxwell solver object
coefs1_dofs	Coefficient for each DoF
coefs2_dofs	Coefficient for each DoF
degree	Specify the degree of the basis functions
degree2	Specify the degree of the basis functions

Returns

Result: innter product

Definition at line 255 of file sll_m_maxwell_1d_ps.F90.

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invert_mass_1d_ps()

subroutine sll_m_maxwell_1d_ps::invert_mass_1d_ps ( class(sll_t_maxwell_1d_ps), intent(inout)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  out, integer(kind=i32), intent(in)  degree  )

private

Definition at line 460 of file sll_m_maxwell_1d_ps.F90.

l2norm_squared_1d_ps()

real(kind=f64) function sll_m_maxwell_1d_ps::l2norm_squared_1d_ps ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), dimension(:)  coefs_dofs, integer(kind=i32)  degree  )

private

Parameters

self	Maxwell solver object
coefs_dofs	Coefficient for each DoF
degree	Specify the degree of the basis functions

Returns

Result: squared L2 norm

Definition at line 279 of file sll_m_maxwell_1d_ps.F90.

l2projection()

subroutine sll_m_maxwell_1d_ps::l2projection ( class(sll_t_maxwell_1d_ps)  self, procedure(sll_i_function_1d_real64)  func, integer(kind=i32), intent(in)  degree, real(kind=f64), dimension(:), intent(out)  coefs_dofs  )

private

Compute the L2 projection of a given function f on periodic splines of given degree.

Definition at line 511 of file sll_m_maxwell_1d_ps.F90.

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multiply_g()

subroutine sll_m_maxwell_1d_ps::multiply_g ( class(sll_t_maxwell_1d_ps), intent(in)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  out  )

private

Parameters

[in]	self	Maxwell_Clamped solver object
[in]	in	Coefficient for each DoF
[out]	out	Coefficient for each DoF

Definition at line 470 of file sll_m_maxwell_1d_ps.F90.

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multiply_gt()

subroutine sll_m_maxwell_1d_ps::multiply_gt ( class(sll_t_maxwell_1d_ps), intent(in)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  out  )

private

Parameters

[in]	self	Maxwell_Clamped solver object
[in]	in	Coefficient for each DoF
[out]	out	Coefficient for each DoF

Definition at line 480 of file sll_m_maxwell_1d_ps.F90.

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multiply_mass_1d_ps()

subroutine sll_m_maxwell_1d_ps::multiply_mass_1d_ps ( class(sll_t_maxwell_1d_ps), intent(inout)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  out, integer(kind=i32), intent(in)  degree  )

private

Parameters

[in,out]	self	Maxwell solver object
[in]	in	Coefficient for each DoF
[out]	out	Coefficient for each DoF
[in]	degree	Specify the degree of the basis functions

Definition at line 450 of file sll_m_maxwell_1d_ps.F90.

proj1_grad()

subroutine sll_m_maxwell_1d_ps::proj1_grad ( class(sll_t_maxwell_1d_ps), intent(inout)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  out  )

private

Definition at line 127 of file sll_m_maxwell_1d_ps.F90.

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set_eig_schur_curl_part()

subroutine sll_m_maxwell_1d_ps::set_eig_schur_curl_part ( class( sll_t_maxwell_1d_ps ), intent(inout)  self, real(kind=f64), intent(in)  delta_t  )

private

Definition at line 231 of file sll_m_maxwell_1d_ps.F90.

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sll_s_compute_e_b_1d()

subroutine sll_m_maxwell_1d_ps::sll_s_compute_e_b_1d ( class(sll_t_maxwell_1d_ps)  self, real(kind=f64), intent(in)  delta_t, real(kind=f64), dimension(:), intent(inout)  efield_dofs, real(kind=f64), dimension(:), intent(inout)  bfield_dofs  )

private

Parameters

[in]	delta_t	Time step
[in,out]	efield_dofs	E
[in,out]	bfield_dofs	B

Definition at line 106 of file sll_m_maxwell_1d_ps.F90.

transform_dofs_1d_ps()

subroutine sll_m_maxwell_1d_ps::transform_dofs_1d_ps ( class(sll_t_maxwell_1d_ps), intent(inout)  self, real(kind=f64), dimension(:), intent(in)  in, real(kind=f64), dimension(:), intent(out)  out, integer(kind=i32), intent(in)  degree  )

private

Definition at line 359 of file sll_m_maxwell_1d_ps.F90.

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