A Partial Entropic Lattice Boltzmann MHD Simulation of the Orszag-Tang Vortex

TL;DR

This paper extends an entropic lattice Boltzmann method to magnetohydrodynamics and successfully benchmarks it against the classic Orszag-Tang vortex simulation, demonstrating its effectiveness in modeling MHD turbulence.

Contribution

It introduces a partial entropic lattice Boltzmann model for MHD using Dellar's vector distribution approach, expanding the applicability of entropic LB methods.

Findings

Successful benchmarking against standard Orszag-Tang vortex simulations

Demonstrates the model's capability to handle magnetic field reversals

Extends entropic LB methods to MHD turbulence modeling

Abstract

Karlin has introduced an analytically-determined entropic lattice Boltzmann algorithm for Navier-Stokes turbulence. Here this is partially extended to a lattice Boltzmann model of magnetohydrodynamics, on using the vector distribution function approach of Dellar for the magnetic field. (which is permitted to have field reversal). The partial entropic algorithm is benchmarked successfully against standard simulations of the Orszag-Tang vortex (1979).