diffusion.hpp File Reference

Diffusion operators and implicit system builders for 2D grids. More...

#include "core/policy.hpp"
#include "core/vector.hpp"
#include "fields/grid2d.hpp"
#include "linalg/solvers/cg.hpp"
#include "linalg/solvers/linear_solver.hpp"
#include "linalg/sparse/sparse.hpp"
#include "linalg/sparse/sparse_op.hpp"
#include "operator/properties.hpp"
#include "pde/stencil.hpp"

Go to the source code of this file.

Classes
class	num::pde::BackwardEulerOperator2D

Namespaces
namespace	num
namespace	num::pde

Functions
SparseMatrix	num::pde::backward_euler_matrix (int N, double coeff)
void	num::pde::diffusion_step_2d (Vector &u, int N, double coeff, Backend b=best_backend)
void	num::pde::diffusion_step_2d_dirichlet (Vector &u, int N, double coeff, Backend b=best_backend)
void	num::pde::diffusion_step_2d_4th_dirichlet (Vector &u, int N, double coeff, Backend b=best_backend)
void	num::pde::diffusion_step_2d_dirichlet (ScalarField2D &g, double coeff, Backend b=best_backend)
void	num::pde::diffusion_step_2d_4th_dirichlet (ScalarField2D &g, double coeff, Backend b=best_backend)
SparseMatrix	num::pde::laplacian_sparse_2d (int N)
SparseMatrix	num::pde::backward_euler_matrix (const Grid2D &grid, double coeff)
BackwardEulerOperator2D	num::pde::backward_euler_operator (int N, double coeff)
BackwardEulerOperator2D	num::pde::backward_euler_operator (const Grid2D &grid, double coeff)
LinearSolver	num::pde::make_cg_solver (const SparseMatrix &A, real tol=1e-6)

Detailed Description

Diffusion operators and implicit system builders for 2D grids.

Todo:

Add structured SPD operators for periodic diffusion, 3D grids, and matrix-free stencil application.

Definition in file diffusion.hpp.