tensorium_RG::BSSNGrid Struct Reference

Storage structure for all evolved BSSN variables on a single grid point or patch. More...

#include <BSSNSetup.hpp>

Collaboration diagram for tensorium_RG::BSSNGrid:

Public Attributes
std::vector< double >	alpha
	Lapse function \(\alpha\).
std::vector< tensorium::Vector< double > >	beta
	Shift vector \(\beta^i\).
std::vector< tensorium::Tensor< double, 2 > >	gamma_ij
	Physical 3-metric \(\gamma_{ij}\).
std::vector< tensorium::Tensor< double, 2 > >	gamma_ij_inv
	Inverse \(\gamma^{ij}\).
std::vector< double >	chi
	Conformal factor \(\chi\).
std::vector< tensorium::Tensor< double, 2 > >	gamma_tilde
	Conformal metric \(\tilde{\gamma}_{ij}\).
std::vector< tensorium::Tensor< double, 2 > >	gamma_tilde_inv
	Inverse \(\tilde{\gamma}^{ij}\).
std::vector< tensorium::Tensor< double, 3 > >	dgamma_tilde
	Derivatives \(\partial_k \tilde{\gamma}_{ij}\).
std::vector< tensorium::Tensor< double, 3 > >	christoffel_tilde
	Christoffel symbols \(\tilde{\Gamma}^k_{ij}\).
std::vector< tensorium::Tensor< double, 2 > >	ExtrinsicTensor
	Extrinsic curvature \(K_{ij}\).
std::vector< tensorium::Tensor< double, 2 > >	A_tildeTensor
	Trace-free extrinsic curvature \(\tilde{A}_{ij}\).

Detailed Description

Storage structure for all evolved BSSN variables on a single grid point or patch.

This struct collects the geometric and gauge variables required in the BSSN formulation:

• Lapse function \(\alpha\)
• Shift vector \(\beta^i\)
• Physical metric \(\gamma_{ij}\) and its inverse
• Conformal factor \(\chi\)
• Conformal metric \(\tilde{\gamma}_{ij}\) and its inverse
• Partial derivatives \(\partial_k \tilde{\gamma}_{ij}\)
• Conformal Christoffel symbols \(\tilde{\Gamma}^k_{ij}\)
• Extrinsic curvature \(K_{ij}\)
• Trace-free conformal extrinsic curvature \(\tilde{A}_{ij}\)

Member Data Documentation

A_tildeTensor

std::vector<tensorium::Tensor<double, 2> > tensorium_RG::BSSNGrid::A_tildeTensor

Trace-free extrinsic curvature \(\tilde{A}_{ij}\).

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

alpha

std::vector<double> tensorium_RG::BSSNGrid::alpha

Lapse function \(\alpha\).

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

beta

std::vector<tensorium::Vector<double> > tensorium_RG::BSSNGrid::beta

Shift vector \(\beta^i\).

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

chi

std::vector<double> tensorium_RG::BSSNGrid::chi

Conformal factor \(\chi\).

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

christoffel_tilde

std::vector<tensorium::Tensor<double, 3> > tensorium_RG::BSSNGrid::christoffel_tilde

Christoffel symbols \(\tilde{\Gamma}^k_{ij}\).

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

dgamma_tilde

std::vector<tensorium::Tensor<double, 3> > tensorium_RG::BSSNGrid::dgamma_tilde

Derivatives \(\partial_k \tilde{\gamma}_{ij}\).

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

ExtrinsicTensor

std::vector<tensorium::Tensor<double, 2> > tensorium_RG::BSSNGrid::ExtrinsicTensor

Extrinsic curvature \(K_{ij}\).

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

gamma_ij

std::vector<tensorium::Tensor<double, 2> > tensorium_RG::BSSNGrid::gamma_ij

Physical 3-metric \(\gamma_{ij}\).

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

gamma_ij_inv

std::vector<tensorium::Tensor<double, 2> > tensorium_RG::BSSNGrid::gamma_ij_inv

Inverse \(\gamma^{ij}\).

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

gamma_tilde

std::vector<tensorium::Tensor<double, 2> > tensorium_RG::BSSNGrid::gamma_tilde

Conformal metric \(\tilde{\gamma}_{ij}\).

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

gamma_tilde_inv

std::vector<tensorium::Tensor<double, 2> > tensorium_RG::BSSNGrid::gamma_tilde_inv

Inverse \(\tilde{\gamma}^{ij}\).

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

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

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