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Matem. Mod., 2017, Volume 29, Number 3, Pages 3–15 (Mi mm3822)  

This article is cited in 3 scientific papers (total in 3 papers)

A kinetic model for magnetogasdynamics

B. Chetverushkina, N. D'Ascenzob, A. Savelievc, V. Savelievd

a Keldysh Institute of Applied Mathematics of RAS, Moscow, Russia
b Deutsches Elektronen-Synchrotron, Hamburg, Germany
c Universität Hamburg, Hamburg, Germany
d Immanuel Kant Baltic Federal University, Kaliningrad, Russia

Abstract: In this work the equations of ideal magnetogasdynamics are derived based on the introduced local complex Maxwellian distribution function. Using this kinetic model we obtain the analogue of the quasidynamic system of equations for magnetogasdynamics including dissipative processes. The resulting model and the algorithm of its solution have been tested by applying them to a number of well-known problems. The given algorithm can be easily adapted to an architecture of high performance systems with extramassive parallelism.

Keywords: magnetogasdynamics, explicit kinetic schemes, high performance computing.

Funding Agency Grant Number
Russian Science Foundation 14-11-00170


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English version:
Mathematical Models and Computer Simulations, 2017, 9:5, 544–553

Received: 16.05.2016

Citation: B. Chetverushkin, N. D'Ascenzo, A. Saveliev, V. Saveliev, “A kinetic model for magnetogasdynamics”, Matem. Mod., 29:3 (2017), 3–15; Math. Models Comput. Simul., 9:5 (2017), 544–553

Citation in format AMSBIB
\Bibitem{CheDasSav17}
\by B.~Chetverushkin, N.~D'Ascenzo, A.~Saveliev, V.~Saveliev
\paper A kinetic model for magnetogasdynamics
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 3
\pages 3--15
\mathnet{http://mi.mathnet.ru/mm3822}
\elib{http://elibrary.ru/item.asp?id=28922642}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 5
\pages 544--553
\crossref{https://doi.org/10.1134/S2070048217050039}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029741393}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. B. N. Chetverushkin, M. V. Yakobovskii, “Vychislitelnye algoritmy i arkhitektura sistem vysokoi proizvoditelnosti”, Preprinty IPM im. M. V. Keldysha, 2018, 052, 12 pp.  mathnet  crossref
    2. B. N. Chetverushkin, N. D'Ascenzo, A. V. Saveliev, V. I. Saveliev, “Kinetic model and magnetogasdynamics equations”, Comput. Math. Math. Phys., 58:5 (2018), 691–699  mathnet  crossref  crossref  isi  elib
    3. B. N. Chetverushkin, A. V. Saveliev, V. I. Saveliev, “A quasi-gasdynamic model for the description of magnetogasdynamic phenomena”, Comput. Math. Math. Phys., 58:8 (2018), 1384–1394  mathnet  crossref  crossref  isi  elib
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