tensorium_RG::ConstraintSolver< T > Class Template Reference

#include <BSSNConstraintsSolver.hpp>

Collaboration diagram for tensorium_RG::ConstraintSolver< T >:

Static Public Member Functions
static tensorium::Tensor< T, 3 >	solveLichnerowicz (const tensorium::Tensor< T, 5 > &Atilde, const tensorium::Tensor< T, 5 > &g_tilde_inv, T dx, T dy, T dz, int max_iter=1000, T tol=T(1e-8))
	Solve the Lichnerowicz equation to enforce the Hamiltonian constraint in BSSN.

Member Function Documentation

solveLichnerowicz()

template<typename T >

static tensorium::Tensor< T, 3 > tensorium_RG::ConstraintSolver< T >::solveLichnerowicz ( const tensorium::Tensor< T, 5 > & Atilde, const tensorium::Tensor< T, 5 > & g_tilde_inv, T dx, T dy, T dz, int max_iter = 1000, T tol = T(1e-8) )

inlinestatic

Solve the Lichnerowicz equation to enforce the Hamiltonian constraint in BSSN.

Parameters

Atilde	The trace-free conformal extrinsic curvature tensor Ã_{ij} at each grid point. Shape: [NX][NY][NZ][3][3]
g_tilde_inv	The inverse conformal metric γ̃^{ij} at each grid point. Shape: [NX][NY][NZ][3][3]
dx,dy,dz	Grid spacings
max_iter	Maximum number of iterations
tol	Convergence threshold

Returns

psi The conformal factor ψ at each grid point. Shape: [NX][NY][NZ]

References psi, and tensorium::Tensor< K, Rank >::shape().

Referenced by tensorium_RG::BSSN< T >::init_BSSN().

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

• includes/Tensorium/DiffGeometry/BSSN/BSSNConstraintsSolver.hpp