B. Chetverushkin, N. D'Ascenzo, A. Saveliev, V. Saveliev, “A kinetic model for magnetogasdynamics”, Mat. Model., 29:3 (2017), 3–15; Math. Models Comput. Simul., 9:5 (2017), 544

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Matematicheskoe modelirovanie, 2017, Volume 29, Number 3, Pages 3–15 (Mi mm3822)

This article is cited in 12 scientific papers (total in 12 papers)

A kinetic model for magnetogasdynamics

B. Chetverushkin^a, N. D'Ascenzo^b, A. Saveliev^c, V. Saveliev^d

^a Keldysh Institute of Applied Mathematics of RAS, Moscow, Russia
^b Deutsches Elektronen-Synchrotron, Hamburg, Germany
^c Universität Hamburg, Hamburg, Germany
^d Immanuel Kant Baltic Federal University, Kaliningrad, Russia

Full-text PDF (570 kB) Citations (12)

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Abstract: In this work the equations of ideal magnetogasdynamics are derived based on the introduced local complex Maxwellian distribution function. Using this kinetic model we obtain the analogue of the quasidynamic system of equations for magnetogasdynamics including dissipative processes. The resulting model and the algorithm of its solution have been tested by applying them to a number of well-known problems. The given algorithm can be easily adapted to an architecture of high performance systems with extramassive parallelism.

Keywords: magnetogasdynamics, explicit kinetic schemes, high performance computing.

Funding agency	Grant number
Russian Science Foundation	14-11-00170

Received: 16.05.2016

English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 5, Pages 544–553
DOI: https://doi.org/10.1134/S2070048217050039

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: B. Chetverushkin, N. D'Ascenzo, A. Saveliev, V. Saveliev, “A kinetic model for magnetogasdynamics”, Mat. Model., 29:3 (2017), 3–15; Math. Models Comput. Simul., 9:5 (2017), 544–553

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mm3822

https://www.mathnet.ru/eng/mm/v29/i3/p3

This publication is cited in the following 12 articles:

A. I. Sukhinov, A. E. Chistyakov, V. V. Sidoryakina, I. Yu. Kuznetsova, A. M. Atayan, “Ispolzovanie parallelnykh vychislenii dlya otsenki protsessa perenosa zagryaznyayuschikh veschestv v melkovodnykh vodoemakh”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 24:2 (2024), 298–315
B. N. Chetverushkin, M. V. Yakobovskiy, “The prospects of development in Russia of high-performance computing and predictive modeling in modern technologies”, Her. Russ. Acad. Sci., 91:6 (2021), 661–666
V. P. Osipov, B. N. Chetverushkin, “Numerical algorithms for systems with extramassive parallelism”, Comput. Math. Math. Phys., 60:5 (2020), 783–794
A. I. Sukhinov, A. E. Chistyakov, V. V. Sidoryakina, E. A. Protsenko, “Economical Explicit-Implicit Schemes for Solving Multidimensional Diffusion–Convection Problems”, J Appl Mech Tech Phy, 61:7 (2020), 1257
S. V. Bogomolov, N. B. Esikova, “Stochastic magnetic hydrodynamic hierarchy in a strong external magnetic field”, Math. Models Comput. Simul., 12:2 (2020), 257–270
B. N. Chetverushkin, M. V. Yakobovskiy, M. A. Kornilina, A. V. Semenova, “Numerical algorithms for hpc systems and fault tolerance”, Parallel Computational Technologies, Pct 2019, Communications in Computer and Information Science, 1063, eds. L. Sokolinsky, M. Zymbler, Springer, 2019, 34–44
A. I. Sukhinov, A. E. Chistyakov, V. V. Sidoryakina, E. A. Protsenko, “Parallel numerical solution of the suspension transport problem on the basis of explicit-implicit schemes”, Parallel Computational Technologies, Pct 2019, Communications in Computer and Information Science, 1063, eds. L. Sokolinsky, M. Zymbler, Springer, 2019, 256–268
B. N. Chetverushkin, A. V. Saveliev, V. I. Saveliev, “Kinetic algorithms for modeling conductive fluids flow on high-performance computing systems”, Dokl. Math., 100:3 (2019), 577–581
Alexander I. Sukhinov, Alexander E. Chistyakov, Valentina V. Sidoryakina, Elena A. Protsenko, Communications in Computer and Information Science, 1129, Supercomputing, 2019, 39
B. N. Chetverushkin, M. V. Yakobovskii, “Vychislitelnye algoritmy i arkhitektura sistem vysokoi proizvoditelnosti”, Preprinty IPM im. M. V. Keldysha, 2018, 052, 12 pp.
B. N. Chetverushkin, N. D'Ascenzo, A. V. Saveliev, V. I. Saveliev, “Kinetic model and magnetogasdynamics equations”, Comput. Math. Math. Phys., 58:5 (2018), 691–699
B. N. Chetverushkin, A. V. Saveliev, V. I. Saveliev, “A quasi-gasdynamic model for the description of magnetogasdynamic phenomena”, Comput. Math. Math. Phys., 58:8 (2018), 1384–1394

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

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