ITLApplied  Computational Mathematics Division
ACMD Seminar Series
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An HLLC-type approximate Riemann solver for ideal magnetohydrodynamics.

Katharine F. Gurski

Tuesday, November 13, 2001 13:00-14:00,
Room 145, NIST North (820)
Tuesday, November 13, 2001 11:00-12:00,
Room 4511

Abstract: In the numerical simulation of magnetohydrodynamic (MHD) problems, there is a necessary balance between capturing the key features of the flow, limiting computational expense, and robustness of the numerical method. This talk will present a new method based on the HLLC (Harten-Lax-van Leer-contact wave) approximate nonlinear Riemann solver for gas dynamics for the ideal MHD equations written in conservation form. This approximation method is intended to be less diffusive for all problems containing contact waves than the original HLL (Harten-Lax-van Leer) solver. Compared to exact nonlinear solvers and Roe's solver, this new solver is computationally inexpensive. In addition, the method will exactly resolve isolated shocks and contacts. The method also is guaranteed to preserve positive density and pressure although in a few cases positivity may require changing the wavespeeds of the Riemann fan for the underlying HLL method. Beginning with a review of Riemann problems and the necessary physical equations, this talk will concentrate more on the mathematical development of the method than simulation results.
Contact: A. J. Kearsley

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