This article is cited in 14 papers

A dynamic mesh adaptation method for magnetohydrodynamics problems

A. G. Zhilkin<sup>ab

a</sup> Chelyabinsk State University, ul. Brat'ev Kashirinykh 129, Chelyabinsk, 454021, Russia
^b Institute of Astronomy, Russian Academy of Sciences, ul. Pyatnitskaya 48, Moscow, 119017, Russia

Abstract: A dynamic adaptation method is used to numerically solve the MHD equations. The basic idea behind the method is to use an arbitrary nonstationary coordinate system for which the numerical procedure and the mesh refinement mechanism are formulated as a unified differential model. Numerical examples of multidimensional MHD flows on dynamic adaptive meshes are given to illustrate the method.

Key words: MHD problems, dynamic mesh adaptation method.

UDC: 519.634

Received: 13.11.2006
Revised: 17.05.2007

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:11, 1819–1832

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