Numerical modeling of magneto‐hydrodynamics flows using reproducing kernel particle method

Abstract

In this paper, we develop some mesh-free particle methods for magneto-hydrodynamics equations. Our focus is on the problems with high Hartmann numbers, which generate unstable solutions in most numerical methods. Several numerical tests validate the efficiency of our methods. 21. Hsieh PW, Yang SY. Two new upwind difference schemes for a coupled system of convectiondiffusion equations arising from the steady MHD duct flow problems. Journal of Computational Physics 2010; 229:9216-9234.