A. E. Dudorov, A. G. Zhilkin, O. A. Kuznetsov, “The two-dimensional numerical code for axisymmetric self-gravitating MHD-flows.”, Mat. Model., 11:11 (1999), 109

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Matematicheskoe modelirovanie, 1999, Volume 11, Number 11, Pages 109–127 (Mi mm1185)

This article is cited in 8 scientific papers (total in 8 papers)

Computational methods and algorithms

The two-dimensional numerical code for axisymmetric self-gravitating MHD-flows.

A. E. Dudorov^a, A. G. Zhilkin^a, O. A. Kuznetsov^b

^a Chelyabinsk State University
^b M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Full-text PDF (2004 kB) Citations (8)

Abstract: The numerical method for solution of the gravitational magnetogasdynamical equations has been developed. The two-dimensional code for self-gravitating MHD-flows simulation on the Eulerian cylindrical grid is constructed. This code is based on the explicit quasimonotonic high resolution TVD-scheme. The results of test computations show that the code has a good quality and can be applied to a wide class of plasma physics and astrophysics problems.

Received: 28.12.1998

Language: Russian

Citation: A. E. Dudorov, A. G. Zhilkin, O. A. Kuznetsov, “The two-dimensional numerical code for axisymmetric self-gravitating MHD-flows.”, Mat. Model., 11:11 (1999), 109–127

Citation in format AMSBIB

\Bibitem{DudZhiKuz99}

\by A.~E.~Dudorov, A.~G.~Zhilkin, O.~A.~Kuznetsov

\paper The two-dimensional numerical code for axisymmetric self-gravitating MHD-flows.

\jour Mat. Model.

\yr 1999

\vol 11

\issue 11

\pages 109--127

\mathnet{http://mi.mathnet.ru/mm1185}

Linking options:

https://www.mathnet.ru/eng/mm1185

https://www.mathnet.ru/eng/mm/v11/i11/p109

This publication is cited in the following 8 articles:

Dudorov A.E., Khaibrakhmanov S.A., “The Fossil Magnetic Field of Young Stars”, Stars: From Collapse to Collapse, Astronomical Society of the Pacific Conference Series, 510, eds. Balega Y., Kudryavtsev D., Romanyuk I., Yakunin I., Astronomical Soc Pacific, 2017, 114–117
Krasnobaev K.V., Tagirova R.R., “Unstable Two-Dimensionalmotions of Self-Gravitating Gas Layers Accelerated in the Normal Direction”, Fluid Dyn., 48:5 (2013), 588–598
Krasnobaev K.V., Tagirova R.R., “Accumulation of MASS in Accelerating Self-Gravitating Gas Layers”, Astron. Lett.-J. Astron. Space Astrophys., 39:9 (2013), 578–585
Zhilkin, AG, “Modeling of Protostellar Clouds and Their Observational Properties”, Astronomy Reports, 53:7 (2009), 590
Dudorov, AE, “Self-similar Regimes for the Collapse of Magnetic Protostellar Clouds”, Astronomy Reports, 52:10 (2008), 790
Dudorov, AE, “Evolution of collapse nonuniformity for rotating magnetic interstellar clouds”, Astronomy Letters-A Journal of Astronomy and Space Astrophysics, 32:9 (2006), 622
V. A. Gasilov, S. V. Dyachenko, “Kvazimonotonnaya dvumernaya skhema MGD dlya nestrukturirovannykh setok”, Matem. modelirovanie, 17:12 (2005), 87–109
Dudorov, AE, “Nonself-similar regimes of isothermal collapse of protostellar clouds”, Journal of Experimental and Theoretical Physics, 96:2 (2003), 165

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

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