sll_m_poisson_2d_sparse_grid_fft Module Reference

Description

Implementation of a 3D pseudospectral Poisson solver on sparse grid.

Author

Katharina Kormann, IPP

<DETAILED_DESCRIPTION>

Derived types and interfaces
type	sll_t_fft_derivative
	sll_t_fft_derivative is the Poisson solver object to solve Poisson's problem in 2d with pseudospectral on a sparse grid More...

Functions/Subroutines
subroutine	new_poisson_2d_sparse_grid_fft (this, interpolator)
	Create Poisson solver object with Fourier spectral method on 2d sparse grid. More...
subroutine	solve_potential (this, interpolator, rho, phi)
	Solve for potential. More...
subroutine	solve_for_electric_field (this, interpolator, rho, ex, ey)
	Compute the electric fields from rho. More...
subroutine	derivative_coeffs_1d (interpolator, dim, max_level, index, size_factor, data1d, data)
	Helper function to compute the Fourier coefficients for the derivative operation. More...
subroutine	insert_fourier_real (sparsegrid, dim, max_level, index, data_in, data_out)
	Helper function to insert the real Fourier coefficient into the sparse grid data structure. More...
recursive subroutine	insert_recursive_fourier_real (sparsegrid, index_sg, ind, level, max_level, dim, data_in, data_out)
	Helper function to insert the real Fourier coefficients into the sparse grid data structure (recursive part) More...

Function/Subroutine Documentation

derivative_coeffs_1d()

subroutine sll_m_poisson_2d_sparse_grid_fft::derivative_coeffs_1d ( class(sll_t_sparse_grid_2d), intent(in)  interpolator, intent(in)  dim, intent(in)  max_level, intent(in)  index, intent(in)  size_factor, intent(inout)  data1d, intent(inout)  data  )

private

Helper function to compute the Fourier coefficients for the derivative operation.

Definition at line 137 of file sll_m_poisson_2d_sparse_grid_fft.F90.

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insert_fourier_real()

subroutine sll_m_poisson_2d_sparse_grid_fft::insert_fourier_real ( type(sll_t_sparse_grid_2d), intent(in)  sparsegrid, intent(in)  dim, intent(in)  max_level, intent(in)  index, intent(in)  data_in, intent(out)  data_out  )

private

Helper function to insert the real Fourier coefficient into the sparse grid data structure.

Definition at line 159 of file sll_m_poisson_2d_sparse_grid_fft.F90.

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insert_recursive_fourier_real()

recursive subroutine sll_m_poisson_2d_sparse_grid_fft::insert_recursive_fourier_real ( type(sll_t_sparse_grid_2d), intent(in)  sparsegrid, intent(in)  index_sg, intent(in)  ind, intent(in)  level, intent(in)  max_level, intent(in)  dim, intent(in)  data_in, intent(inout)  data_out  )

private

Helper function to insert the real Fourier coefficients into the sparse grid data structure (recursive part)

Definition at line 179 of file sll_m_poisson_2d_sparse_grid_fft.F90.

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new_poisson_2d_sparse_grid_fft()

subroutine sll_m_poisson_2d_sparse_grid_fft::new_poisson_2d_sparse_grid_fft ( class(sll_t_fft_derivative), intent(inout)  this, type(sll_t_sparse_grid_2d), intent(in)  interpolator  )

private

Create Poisson solver object with Fourier spectral method on 2d sparse grid.

Parameters

[in,out]	this	Poisson solver object
[in]	interpolator	Underlying sparse grid

Definition at line 44 of file sll_m_poisson_2d_sparse_grid_fft.F90.

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solve_for_electric_field()

subroutine sll_m_poisson_2d_sparse_grid_fft::solve_for_electric_field ( class(sll_t_fft_derivative), intent(inout)  this, type(sll_t_sparse_grid_2d), intent(inout)  interpolator, intent(inout)  rho, intent(inout)  ex, intent(inout)  ey  )

private

Compute the electric fields from rho.

Parameters

[in,out]	this	Poisson solver object
[in,out]	interpolator	underlying sparse grid

Definition at line 113 of file sll_m_poisson_2d_sparse_grid_fft.F90.

solve_potential()

subroutine sll_m_poisson_2d_sparse_grid_fft::solve_potential ( class(sll_t_fft_derivative), intent(inout)  this, type(sll_t_sparse_grid_2d), intent(inout)  interpolator, real(kind=f64), dimension(:), intent(inout)  rho, intent(inout)  phi  )

private

Solve for potential.

Parameters

[in,out]	this	Poisson solver object
[in,out]	interpolator	Underlying sparse grid.
[in,out]	rho	Right-hand-side for Poisson's problem

Definition at line 94 of file sll_m_poisson_2d_sparse_grid_fft.F90.