A. G. Aksenov, V. F. Tishkin, V. M. Chechetkin, “Godunov type method and the Shafranov's task for multi-temperature plasma”, Mat. Model., 30:9 (2018), 51–71; Math. Models Comput. Simul., 11:3 (2019), 360

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Matematicheskoe modelirovanie, 2018, Volume 30, Number 9, Pages 51–71 (Mi mm4001)

This article is cited in 13 scientific papers (total in 13 papers)

Godunov type method and the Shafranov's task for multi-temperature plasma

A. G. Aksenov^a, V. F. Tishkin^b, V. M. Chechetkin^ba

^a Institute for Computer Aided Design, Russian Academy of Sciences
^b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Full-text PDF (681 kB) Citations (13)

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Abstract: New multi-temperature code for the multi-component gas-dynamic was tested. The velocities of all components with nonzero masses are assumed to be identical. Method operates with the table equation of state. Method can include in the consideration the electron heat conduction, the radiation transfer, the exchange the energy between the components, and the chemical reactions. The gas-dynamic part is based on the Godunov approach with the effective approximate Riemann problem solver and the model of the local equation of state. The goal of the investigation is the test of the development of the code and the "exact" solution of the Shafranov task for the shock wave in the hydrogen plasma.

Keywords: multi-temperature plasma, equation of state, Godunov type scheme.

Funding agency	Grant number
Russian Science Foundation	16-11-10339

Received: 18.09.2017

English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 3, Pages 360–373
DOI: https://doi.org/10.1134/S2070048219030025

Document Type: Article

Language: Russian

Citation: A. G. Aksenov, V. F. Tishkin, V. M. Chechetkin, “Godunov type method and the Shafranov's task for multi-temperature plasma”, Mat. Model., 30:9 (2018), 51–71; Math. Models Comput. Simul., 11:3 (2019), 360–373

Citation in format AMSBIB

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\by A.~G.~Aksenov, V.~F.~Tishkin, V.~M.~Chechetkin

\paper Godunov type method and the Shafranov's task for multi-temperature plasma

\jour Mat. Model.

\yr 2018

\vol 30

\issue 9

\pages 51--71

\mathnet{http://mi.mathnet.ru/mm4001}

\transl

\jour Math. Models Comput. Simul.

\yr 2019

\vol 11

\issue 3

\pages 360--373

\crossref{https://doi.org/10.1134/S2070048219030025}

Linking options:

https://www.mathnet.ru/eng/mm4001

https://www.mathnet.ru/eng/mm/v30/i9/p51

This publication is cited in the following 13 articles:

A. G. Aksenov, V. M. Chechetkin, “Gas-Dynamical Model of Accretion on a Neutron Star with Viscosity and the Influence of Large-Scale Vortices on the Transmission of Angular Momentum”, Astron. Rep., 68:5 (2024), 438
Aleksey Gennadievich Aksenov, Andrey Alekseevich Baranov, Anastasia Alekseevna Filina, Valery Mihailovich Chechetkin, “On possibility of nucleosynthesis during accretion on a compact star”, KIAM Prepr., 2024, no. 77, 1
A. G. Aksenov, V. M. Chechetkin, “Gas-Dynamical Model of Accretion on a Neutron Star with Viscosity and the Influence of Large-Scale Vortices on the Transmission of Angular Momentum”, Astronomičeskij žurnal, 101:5 (2024), 408
A. G. Aksenov, V. M. Chechetkin, “Large-Scale Convection during Gravitational Collapse with Neutrino Transport in 2D and 3D Models on Fine Grids”, Astronomicheskii zhurnal, 100:3 (2023), 221
A. G. Aksenov, V. M. Chechetkin, “Large-Scale Convection during Gravitational Collapse with Neutrino Transport in 2D and 3D Models on Fine Grids”, Astron. Rep., 67:3 (2023), 209
Aksenov A.G., Chechetkin V.M., “Nonequilibrium Neutronization and Large-Scale Convection in Gravitational Collapse”, Astron. Rep., 66:1 (2022), 1–11
Alexey G. Aksenov, “A Multidimensional Multicomponent Gas Dynamic with the Neutrino Transfer in Gravitational Collapse”, Universe, 8:7 (2022), 372
V. M. Chechetkin, A. G. Aksenov, “Large-scale instability in supernovae and the neutrino spectrum”, Astron. Rep., 65:10 (2021), 916–920
Alexey G. Aksenov, Smart Innovation, Systems and Technologies, 217, Applied Mathematics and Computational Mechanics for Smart Applications, 2021, 115
Alexey G. Aksenov, Smart Innovation, Systems and Technologies, 214, Smart Modelling For Engineering Systems, 2021, 61
Margarita N. Favorskaya, Lakhmi C. Jain, Ilia S. Nikitin, Dmitry L. Reviznikov, Smart Innovation, Systems and Technologies, 217, Applied Mathematics and Computational Mechanics for Smart Applications, 2021, 1
Alexey G Aksenov, “A Godunov-type method for a multi-temperature plasma with the tabulated equation of state”, IOP Conf. Ser.: Mater. Sci. Eng., 927:1 (2020), 012037
A. G. Aksenov, V. M. Chechetkin, “Large-scale instability during gravitational collapse and the escaping neutrino spectrum during a supernova explosion”, Astron. Rep., 63:11 (2019), 900–909

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

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