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Keldysh Institute preprints, 2013, 023, 32 pp. (Mi ipmp1773)  

This article is cited in 2 scientific papers (total in 2 papers)

Simulation of 3D MHD flows in magneto quasi-gasdynamics

M. V. Popov, T. G. Elizarova


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.

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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}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. A. Balashov, E. B. Savenkov, “Fenomenologicheskii vyvod kvazigidrodinamicheskoi sistemy uravnenii s uchetom ob'emnoi vyazkosti”, Preprinty IPM im. M. V. Keldysha, 2015, 068, 25 pp.  mathnet
    2. V. A. Balashov, E. B. Savenkov, “Numerical study of a quasi-hydrodynamic system of equations for flow computation at small mach numbers”, Comput. Math. Math. Phys., 55:10 (2015), 1743–1751  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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