ForceFree::Tags::ComputeTildeJ Struct Reference

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

#include <ElectricCurrentDensity.hpp>

Public Types
using	argument_tags = implementation defined
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 ${\tilde{J}}^i$.

$$\begin{array}{}\text{(1)}& {\tilde{J}}^i={\tilde{J}}_{\mathrm{d}\mathrm{r}\mathrm{i}\mathrm{f}\mathrm{t}}^i+{\tilde{J}}_{\mathrm{p}\mathrm{a}\mathrm{r}\mathrm{a}\mathrm{l}\mathrm{l}\mathrm{e}\mathrm{l}}^i=\alpha [\tilde{q}\frac{{ϵ}_{(3)}^{ijk}{\tilde{E}}_j{\tilde{B}}_k}{{\tilde{B}}_l{\tilde{B}}^l}+\eta \{\frac{({\tilde{E}}_l{\tilde{B}}^l){\tilde{B}}^i}{{\tilde{B}}^2}+\frac{\mathcal{R}({\tilde{E}}^2-{\tilde{B}}^2)}{{\tilde{B}}^2}{\tilde{E}}^i\}]\end{array}$$

See ComputeDriftTildeJ and ComputeParallelTildeJ for the details of each terms.

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

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