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Numerical Magnetohydrodynamics simulations are getting increasing attention because of their importance in several practical applications areas. However, not all aspects of numerical MHD have been on a firm footing. Magnetic fields are divergence-free and their representation as-such on computational meshes has been a non-trivial problem. Fortunately, this problem has succumbed on both structured and unstructured meshes. Likewise, the structure of the system calls for solution methods on Yee meshes. But a truly multidimensional depiction of the electric field had remained elusive till the recent development of multidimensional Riemann solvers. In this talk, I show that both the above-mentioned issues have seen recent resolution. We show that these innovations also facilitate the development of methods for ALE meshes with high order of accuracy. Host: Misha Shashkov |