Computes the densitized electric current density \(\tilde{J}^i\). More...

#include <ElectricCurrentDensity.hpp>

Public Types
using	argument_tags = tmpl::list< Tags::TildeQ, Tags::TildeE, Tags::TildeB, Tags::ParallelConductivity, gr::Tags::Lapse< DataVector >, gr::Tags::SqrtDetSpatialMetric< DataVector >, gr::Tags::SpatialMetric< DataVector, 3 > >

using	return_type = tnsr::I< DataVector, 3 >

using	base = TildeJ

Public Types inherited from ForceFree::Tags::TildeJ
using	type = tnsr::I< DataVector, 3 >

Static Public Member Functions
static void	function (gsl::not_null< tnsr::I< DataVector, 3, Frame::Inertial > * > tilde_j, const Scalar< DataVector > &tilde_q, const tnsr::I< DataVector, 3, Frame::Inertial > &tilde_e, const tnsr::I< DataVector, 3, Frame::Inertial > &tilde_b, double parallel_conductivity, const Scalar< DataVector > &lapse, const Scalar< DataVector > &sqrt_det_spatial_metric, const tnsr::ii< DataVector, 3, Frame::Inertial > &spatial_metric)

Detailed Description

Computes the densitized electric current density \(\tilde{J}^i\).

\begin{align} \tilde{J}^i = \tilde{J}^i_\mathrm{drift} + \tilde{J}^i_\mathrm{parallel} = \alpha \left[ \tilde{q} \frac{\epsilon^{ijk}_{(3)}\tilde{E}_j \tilde{B}_k} {\tilde{B}_l \tilde{B}^l} + \eta \left\{ \frac{(\tilde{E}_l\tilde{B}^l)\tilde{B}^i}{\tilde{B}^2} + \frac{\mathcal{R}(\tilde{E}^2-\tilde{B}^2)}{\tilde{B}^2} \tilde{E}^i \right\} \right] \end{align}

See ComputeDriftTildeJ and ComputeParallelTildeJ for the details of each terms.

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

src/Evolution/Systems/ForceFree/ElectricCurrentDensity.hpp

Public Types

Static Public Member Functions

Detailed Description