orb5x::SolverBoundaryConditions Class Reference

Applies the radial/poloidal boundary constraints used by field solves. More...

#include "solver_boundary_conditions.hpp"

Static Public Member Functions
static void	bcmat_dirichlet (Zbmat &mat, bool left, int nx, int degree, int nm, int nsm)
	Replace constrained rows of a complex band matrix by Dirichlet identities.
static void	bcmat_unicity_fourier (Zbmat &mat, int nm, int nsm, int m0)
	Impose magnetic-axis unicity on a Fourier-space band matrix.
static void	bcrhs_Dirichlet_direct (Kokkos::View< Real * > &rhs, bool left, int nx, int degree, int ny)
	Zero direct-space RHS degrees constrained by a radial Dirichlet boundary.
static void	bcrhs_Dirichlet_fourier (Kokkos::View< Complex * > &rhs, bool left, int nx, int degree, int ny)
	Fourier-space counterpart of bcrhs_Dirichlet_direct for a complex RHS.
static void	bcrhs_unicity_direct (Kokkos::View< Real * > &rhs, int ny)
	Impose direct-space axis unicity by summing the first poloidal row.
static void	bcrhs_unicity_fourier (Kokkos::View< Complex * > &rhs, int ny)
	Fourier-space counterpart of bcrhs_unicity_direct for a complex RHS.
static void	bcsol_unicity_direct (Kokkos::View< Real * > &sol, int ny)
	Replicate the unique magnetic-axis solution across its poloidal row.
static void	dirichlet_pointIndomain (bool &isIn, Real &x, Real &y, Real ly, Real xmin, Real xmax)
	Test a point against radial Dirichlet and poloidal-periodic bounds.
static void	periodic_pointIndomain (bool &isIn, Real &x, Real &y, Real lx, Real ly)
	Wrap both coordinates onto a doubly periodic domain.
static void	unicity_pointIndomain (bool &isIn, Real &x, Real &y, Real ly, Real xmin, Real xmax)
	Same coordinate test/wrapping convention as dirichlet_pointIndomain for the unicity constraint.

Detailed Description

Applies the radial/poloidal boundary constraints used by field solves.

The solver calls these helpers while evaluating basis support, assembling right-hand sides, conditioning band matrices, and reconstructing solutions. They preserve the indexing and Fourier-mode conventions of boundaryconditions.F90; coordinates use the normalized solver domain and periodic lengths.

Member Function Documentation

bcmat_dirichlet()

static void orb5x::SolverBoundaryConditions::bcmat_dirichlet ( Zbmat &  mat, bool  left, int  nx, int  degree, int  nm, int  nsm  )

static

Replace constrained rows of a complex band matrix by Dirichlet identities.

Parameters

[in,out]	mat	Distributed/wrapped complex band matrix.
[in]	left	Select inner or outer radial boundary.
[in]	nx	Number of radial grid intervals.
[in]	degree	B-spline degree.
[in]	nm	Number of poloidal modes in the matrix block.
[in]	nsm	Number of constrained spline rows.

bcmat_unicity_fourier()

static void orb5x::SolverBoundaryConditions::bcmat_unicity_fourier ( Zbmat &  mat, int  nm, int  nsm, int  m0  )

static

Impose magnetic-axis unicity on a Fourier-space band matrix.

Parameters

[in,out]	mat	Matrix whose axis rows are replaced/combined.
[in]	nm	Number of retained poloidal modes.
[in]	nsm	Number of radial spline rows.
[in]	m0	Index of the zero poloidal mode.

bcrhs_Dirichlet_direct()

static void orb5x::SolverBoundaryConditions::bcrhs_Dirichlet_direct ( Kokkos::View< Real * > &  rhs, bool  left, int  nx, int  degree, int  ny  )

static

Zero direct-space RHS degrees constrained by a radial Dirichlet boundary.

Parameters

[in,out]	rhs	Flattened right-hand side.
[in]	left	Select the inner (true) or outer (false) boundary.
[in]	nx	Number of radial grid intervals.
[in]	degree	B-spline degree.
[in]	ny	Number of poloidal degrees of freedom per radial row.

bcrhs_Dirichlet_fourier()

static void orb5x::SolverBoundaryConditions::bcrhs_Dirichlet_fourier ( Kokkos::View< Complex * > &  rhs, bool  left, int  nx, int  degree, int  ny  )

static

Fourier-space counterpart of bcrhs_Dirichlet_direct for a complex RHS.

bcrhs_unicity_direct()

static void orb5x::SolverBoundaryConditions::bcrhs_unicity_direct ( Kokkos::View< Real * > &  rhs, int  ny  )

static

Impose direct-space axis unicity by summing the first poloidal row.

Parameters

[in,out]	rhs	Flattened solver right-hand side.
[in]	ny	Number of poloidal degrees of freedom per radial row.

bcrhs_unicity_fourier()

static void orb5x::SolverBoundaryConditions::bcrhs_unicity_fourier ( Kokkos::View< Complex * > &  rhs, int  ny  )

static

Fourier-space counterpart of bcrhs_unicity_direct for a complex RHS.

bcsol_unicity_direct()

static void orb5x::SolverBoundaryConditions::bcsol_unicity_direct ( Kokkos::View< Real * > &  sol, int  ny  )

static

Replicate the unique magnetic-axis solution across its poloidal row.

Parameters

[in,out]	sol	Flattened direct-space solution.
[in]	ny	Number of poloidal entries in the axis row.

dirichlet_pointIndomain()

static void orb5x::SolverBoundaryConditions::dirichlet_pointIndomain ( bool &  isIn, Real &  x, Real &  y, Real  ly, Real  xmin, Real  xmax  )

static

Test a point against radial Dirichlet and poloidal-periodic bounds.

Parameters

[out]	isIn	True when the wrapped point lies in [xmin,xmax].
[in,out]	x	Radial coordinate; not wrapped.
[in,out]	y	Poloidal coordinate, wrapped with period ly.
[in]	ly	Poloidal period in coordinate units.
[in]	xmin	Inclusive radial lower bound.
[in]	xmax	Inclusive radial upper bound.

periodic_pointIndomain()

static void orb5x::SolverBoundaryConditions::periodic_pointIndomain ( bool &  isIn, Real &  x, Real &  y, Real  lx, Real  ly  )

static

Wrap both coordinates onto a doubly periodic domain.

Parameters

[out]	isIn	Always true after wrapping.
[in,out]	x	Coordinate wrapped with period lx.
[in,out]	y	Coordinate wrapped with period ly.
[in]	lx	First-coordinate period.
[in]	ly	Second-coordinate period.

unicity_pointIndomain()

static void orb5x::SolverBoundaryConditions::unicity_pointIndomain ( bool &  isIn, Real &  x, Real &  y, Real  ly, Real  xmin, Real  xmax  )

static

Same coordinate test/wrapping convention as dirichlet_pointIndomain for the unicity constraint.

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

• solver_boundary_conditions.hpp