A robust and efficient solver based on kinetic schemes for Magnetohydrodynamics (MHD) equations

This paper is devoted to the simulation of compressible magnetohydrodynamic (MHD) flows with Lattice Boltzmann Method (LBM). The usual LBM limited low-Mach flows. We propose a robust and accurate numerical method based on vectorial kinetic construction [5,25], which allows us extend arbitrary Mach also explain how adjust viscosity in order obtain stable results smooth or discontinuous parts flow reduced divergence errors. can handle shock waves be made second regions. It very well adapted computing Graphics Processing Unit (GPU). Our GPU implementation 2D achieves state-of-the-art accuracy, near-optimal performance. finally present computations tilt instability that demonstrate capability physically relevant simulations.