ForceFree::ComputeDriftTildeJ Struct Reference

Computes the non-stiff part ${\tilde{J}}_{\mathrm{d}\mathrm{r}\mathrm{i}\mathrm{f}\mathrm{t}}^i$ of the generalized electric current density ${\tilde{J}}^i$. More...

#include <ElectricCurrentDensity.hpp>

Public Types
using	argument_tags = implementation defined
using	return_type = tnsr::I< DataVector, 3 >

Static Public Member Functions
static void	apply (gsl::not_null< tnsr::I< DataVector, 3, Frame::Inertial > * > drift_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 non-stiff part ${\tilde{J}}_{\mathrm{d}\mathrm{r}\mathrm{i}\mathrm{f}\mathrm{t}}^i$ of the generalized electric current density ${\tilde{J}}^i$.

$$\begin{array}{}\text{(1)}& {\tilde{J}}_{\mathrm{d}\mathrm{r}\mathrm{i}\mathrm{f}\mathrm{t}}^i=\alpha \sqrt{\gamma }q\frac{{ϵ}_{(3)}^{ijk}{E}_j{B}_k}{B_l{B}^l}\end{array}$$

where $\alpha$ is lapse, $\gamma$ is the determinant of the spatial metric, $q$ is charge density, ${ϵ}_{(3)}^{ijk}$ is the spatial Levi-Civita tensor, $E^i$ is the electric field, and $B^i$ is the magnetic field.

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

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