
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 quasigasdynamics
M. V. Popov^{}, T. G. Elizarova^{}
Abstract:
A new finitedifference 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 quasigasdynamic equations (QMHD equations) which are actually NavierStokes 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. Nondivergence 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 OrszagTang vortex problem, extended for 3D case. Also the preliminary simulations of magnetically confined plasma pinch are presented.
Keywords:
magnetic quasigasdynamic, QMHD, MHD flows, finite difference algorithm, central difference approximations.
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M. V. Popov, T. G. Elizarova, “Simulation of 3D MHD flows in magneto quasigasdynamics”, 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 quasigasdynamics
\jour Keldysh Institute preprints
\yr 2013
\papernumber 023
\totalpages 32
\mathnet{http://mi.mathnet.ru/ipmp1773}
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This publication is cited in the following articles:

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.

V. A. Balashov, E. B. Savenkov, “Numerical study of a quasihydrodynamic system of equations for flow computation at small mach numbers”, Comput. Math. Math. Phys., 55:10 (2015), 1743–1751

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