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Tuesday, February 18, 2014
10:00 AM - 11:00 AM
CNLS Conference Room (TA-3, Bldg 1690)

Seminar

Divergence-free Magnetohydrodynamics at High Orders with Multidimensional Riemann Solvers

Dinshaw Balsara
University of Notre Dame

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