num::FieldSolver Class Reference

#include <fields.hpp>

Static Public Member Functions
static SolverResult	solve_poisson (ScalarField3D &phi, const ScalarField3D &source, double tol=1e-6, int max_iter=500)
static VectorField3D	gradient (const ScalarField3D &phi)
	Compute ∇φ via central finite differences (one-sided at boundaries).
static ScalarField3D	divergence (const VectorField3D &f)
	Compute ∇·f via central finite differences.
static VectorField3D	curl (const VectorField3D &A)
	Compute ∇×A via central finite differences (one-sided at boundaries).

Detailed Description

Definition at line 73 of file fields.hpp.

Member Function Documentation

curl()

VectorField3D num::FieldSolver::curl ( const VectorField3D &  A )

static

Compute ∇×A via central finite differences (one-sided at boundaries).

Definition at line 109 of file fields.cpp.

References num::curl_3d(), and num::ipow().

Referenced by num::MagneticSolver::solve_magnetic_field().

divergence()

ScalarField3D num::FieldSolver::divergence ( const VectorField3D &  f )

static

Compute ∇·f via central finite differences.

Definition at line 102 of file fields.cpp.

References num::divergence_3d(), and num::ipow().

gradient()

VectorField3D num::FieldSolver::gradient ( const ScalarField3D &  phi )

static

Compute ∇φ via central finite differences (one-sided at boundaries).

Definition at line 95 of file fields.cpp.

References num::gradient_3d(), num::ipow(), and num::phi.

Referenced by num::MagneticSolver::current_density().

solve_poisson()

SolverResult num::FieldSolver::solve_poisson ( ScalarField3D &  phi, const ScalarField3D &  source, double  tol = 1e-6, int  max_iter = 500  )

static

Solve ∆φ = source with φ=0 on all boundaries (Dirichlet). φ is both the initial guess and the output solution. Internally solves the SPD system (−∆)φ = −source via matrix-free CG.

Definition at line 68 of file fields.cpp.

References num::cg_matfree(), num::ScalarField3D::grid(), num::ipow(), num::matvec(), num::neg_laplacian_3d(), num::Grid3D::nx(), and num::phi.

Referenced by num::MagneticSolver::solve_magnetic_field().

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The documentation for this class was generated from the following files:

• /home/runner/work/numerics/numerics/include/pde/fields.hpp
• /home/runner/work/numerics/numerics/src/pde/fields.cpp
• /home/runner/work/numerics/numerics/src/spatial/fields.cpp