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Keldysh Institute preprints, 2012, 064, 24 pages (Mi ipmp82)  

A quasi-gas dynamic algorithm for the numerical solution of shallow water equations for magnetic hydrodynamics

T. G. Elizarova, S. D. Ustyugov, M. A. Istomina


Abstract: In this paper the technique of the solution of the ideal magnetohydrodynamic equations in shallow water approximation for a one-dimensional case by means of quasi-gas dynamic algorithm is presented. Algorithm for an example two problems one-dimensional magnetohydrodynamic was tested. Algorithm is employed for two test-cases. For both tests the numerical solution converges to self-similar ones by mesh refinement.

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Citation: T. G. Elizarova, S. D. Ustyugov, M. A. Istomina, “A quasi-gas dynamic algorithm for the numerical solution of shallow water equations for magnetic hydrodynamics”, Keldysh Institute preprints, 2012, 064, 24 pp.

Citation in format AMSBIB
\Bibitem{EliUstOsi12}
\by T.~G.~Elizarova, S.~D.~Ustyugov, M.~A.~Istomina
\paper A quasi-gas dynamic algorithm for the numerical solution of shallow water equations for magnetic hydrodynamics
\jour Keldysh Institute preprints
\yr 2012
\papernumber 064
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp82}


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  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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