Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches

Moment equations for magnetohydrodynamics

In kinetic treatments of hydrodynamics the macroscopic variables such as density and momentum are given by moments of distribution functions. In discrete kinetic theory it is possible to construct a complete set of moments whose evolution provides a complete description of the dynamics of the underlying kinetic equation. Moreover, the collision operator is most easily specified by its action up...

Lattice Boltzmann model for resistive relativistic magnetohydrodynamics.

In this paper, we develop a lattice Boltzmann model for relativistic magnetohydrodynamics (MHD). Even though the model is derived for resistive MHD, it is shown that it is numerically robust even in the high conductivity (ideal MHD) limit. In order to validate the numerical method, test simulations are carried out for both ideal and resistive limits, namely the propagation of Alfvén waves in th...

Fully Implicit, Nonlinear 3D Extended Magnetohydrodynamics

On energy conservation in extended magnetohydrodynamics

Remarkable connections between extended magnetohydrodynamics models