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Efficient MHD Riemann solvers for simulations on unstructured triangular grids

  • M. Wesenberg
Published/Copyright: November 15, 2010
Journal of Numerical Mathematics
From the journal Volume 10 Issue 1

Abstract

In this paper we compare the accuracy and efficiency of a finite volume scheme solving the ideal MHD equations in one and two space dimensions for interface fluxes obtained by six different MHD Riemann solvers. We suggest a new solver of HLLEM-type (MHD–HLLEM) and show that it is the cheapest one in our comparison. Moreover, we study if the extra effort required for higher order schemes is justified by the gain in accuracy. The two-dimensional version of our code is based on unstructured triangular meshes.

Received: 2001-08-14
Revised: 2002-02-15
Published Online: 2010-11-15
Published in Print: 2002-March

© VSP 2002

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