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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 8, Pages 1329–1340
DOI: https://doi.org/10.7868/S0044466915080098 (Mi zvmmf10248) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Providing the divergence-free property of the magnetic field when solving the MHD equations by the RKDG method

M. P. Galanin, V. V. Lukin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
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DOI: https://doi.org/10.7868/S0044466915080098
Abstract: A review of methods providing the divergence-free property of the magnetic field when solving the two-dimensional problems of magnetic hydrodynamics on triangular grids by the secondorder discontinuous Galerkin method is presented. Procedures for redistributing the numerical flows corresponding to the magnetic field in the full two-dimensional formulation in the Cartesian coordinates and in the two-dimensional axisymmetric case in the cylindrical coordinates, making it possible to suppress the growth of the numerical divergence of the magnetic field, are described. Test problems of the Orszag–Tang vortex and spherical explosion are considered.
Key words: magnetic hydrodynamics, RKDG method, divergence-free condition, numerical flows.
Received: 12.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 8, Pages 1298–1309
DOI: https://doi.org/10.1134/S0965542515080096
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. P. Galanin, V. V. Lukin, “Providing the divergence-free property of the magnetic field when solving the MHD equations by the RKDG method”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1329–1340; Comput. Math. Math. Phys., 55:8 (2015), 1298–1309
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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