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Preprints of the Keldysh Institute of Applied Mathematics, 2013, 023, 32 pp. (Mi ipmp1773)  

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

Simulation of 3D MHD flows in magneto quasi-gasdynamics

M. V. Popov, T. G. Elizarova
References:
Abstract: A new finite-difference method for simulation of compressible MHD flows applicable to a very large class of problems is presented. The method is based on using of magnetic quasi-gasdynamic equations (QMHD equations) which are actually Navier-Stokes equations supplemented by Faraday equations, to which an averaging procedure over a small time interval has been applied. QMHD equations are discretized on a computational grid by central differences. The averaging allows to stabilize a numerical solution without application of additional limiting functions. Non-divergence constraint on magnetic field is provided by application of the Stokes theorem. The numerical solution of 3D test problems are presented. Among them there is a blast wave propagation through magnetized medium, interaction of a shock wave with a cloud and Orszag-Tang vortex problem, extended for 3D case. Also the preliminary simulations of magnetically confined plasma pinch are presented.
Keywords: magnetic quasi-gasdynamic, QMHD, MHD flows, finite difference algorithm, central difference approximations.
Document Type: Preprint
Language: Russian
Citation: M. V. Popov, T. G. Elizarova, “Simulation of 3D MHD flows in magneto quasi-gasdynamics”, Keldysh Institute preprints, 2013, 023, 32 pp.
Citation in format AMSBIB
\Bibitem{PopEli13}
\by M.~V.~Popov, T.~G.~Elizarova
\paper Simulation of 3D MHD flows in magneto quasi-gasdynamics
\jour Keldysh Institute preprints
\yr 2013
\papernumber 023
\totalpages 32
\mathnet{http://mi.mathnet.ru/ipmp1773}
Linking options:
  • https://www.mathnet.ru/eng/ipmp1773
  • https://www.mathnet.ru/eng/ipmp/y2013/p23
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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