ForceFree::Sources Struct Reference

Compute the source terms for the GRFFE system with divergence cleaning. More...

#include <Sources.hpp>

Public Types
using	return_tags = implementation defined
using	argument_tags = implementation defined

Static Public Member Functions
static void	apply (gsl::not_null< tnsr::I< DataVector, 3, Frame::Inertial > * > source_tilde_e, gsl::not_null< tnsr::I< DataVector, 3, Frame::Inertial > * > source_tilde_b, gsl::not_null< Scalar< DataVector > * > source_tilde_psi, gsl::not_null< Scalar< DataVector > * > source_tilde_phi, const tnsr::I< DataVector, 3, Frame::Inertial > &tilde_e, const tnsr::I< DataVector, 3, Frame::Inertial > &tilde_b, const Scalar< DataVector > &tilde_psi, const Scalar< DataVector > &tilde_phi, const Scalar< DataVector > &tilde_q, double kappa_psi, double kappa_phi, double parallel_conductivity, const Scalar< DataVector > &lapse, const tnsr::i< DataVector, 3, Frame::Inertial > &d_lapse, const tnsr::iJ< DataVector, 3, Frame::Inertial > &d_shift, const tnsr::ijj< DataVector, 3, Frame::Inertial > &d_spatial_metric, const tnsr::ii< DataVector, 3, Frame::Inertial > &spatial_metric, const tnsr::II< DataVector, 3, Frame::Inertial > &inv_spatial_metric, const Scalar< DataVector > &sqrt_det_spatial_metric, const tnsr::ii< DataVector, 3, Frame::Inertial > &extrinsic_curvature)

Detailed Description

Compute the source terms for the GRFFE system with divergence cleaning.

$$\begin{array}{rl}S({\tilde{E}}^i)& =-\alpha \sqrt{\gamma }{J}^i-{\tilde{E}}^j{\partial }_j{\beta }^i+\tilde{\psi }({\gamma }^{ij}{\partial }_j\alpha -\alpha {\gamma }^{jk}{\mathrm{\Gamma }}_{jk}^i)\\ S({\tilde{B}}^i)& =-{\tilde{B}}^j{\partial }_j{\beta }^i+\tilde{\varphi }({\gamma }^{ij}{\partial }_j\alpha -\alpha {\gamma }^{jk}{\mathrm{\Gamma }}_{jk}^i)\\ S(\tilde{\psi })& ={\tilde{E}}^k{\partial }_k\alpha +\alpha \tilde{q}-\alpha \tilde{\varphi }(K+{\kappa }_{\varphi })\\ S(\tilde{\varphi })& ={\tilde{B}}^k{\partial }_k\alpha -\alpha \tilde{\varphi }(K+{\kappa }_{\varphi })\\ S(\tilde{q})& =0\end{array}$$

where the conserved variables ${\tilde{E}}^i,{\tilde{B}}^i,\tilde{\psi },\tilde{\varphi },\tilde{q}$ are densitized electric field, magnetic field, magnetic divergence cleaning field, electric divergence cleaning field, and electric charge density.

$J^i$ is the spatial electric current density, $\alpha$ is the lapse, ${\beta }^i$ is the shift, ${\gamma }^{ij}$ is the spatial metric, $\gamma$ is the determinant of spatial metric, ${\mathrm{\Gamma }}_{jk}^i$ is the spatial Christoffel symbol, $K$ is the trace of extrinsic curvature. ${\kappa }_{\varphi }$ and ${\kappa }_{\psi }$ are damping parameters associated with divergence cleaning of magnetic and electric fields, respectively.

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

• src/Evolution/Systems/ForceFree/Sources.hpp