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A dynamic mesh adaptation method for magnetohydrodynamics problems

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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.

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Authors and Affiliations

  1. Institute of Astronomy, Russian Academy of Sciences, ul. Pyatnitskaya 48, Moscow, 119017, Russia

    A. G. Zhilkin

  2. Chelyabinsk State University, ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454021, Russia

    A. G. Zhilkin

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  1. A. G. Zhilkin
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Correspondence to A. G. Zhilkin.

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Original Russian Text © A.G. Zhilkin, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 11, pp. 1898–1912.

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Zhilkin, A.G. A dynamic mesh adaptation method for magnetohydrodynamics problems. Comput. Math. and Math. Phys. 47, 1819–1832 (2007). https://doi.org/10.1134/S0965542507110085

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  • DOI: https://doi.org/10.1134/S0965542507110085

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