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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2018 Volume 30, Number 9, Pages 51–71 (Mi mm4001)

This article is cited in 11 papers

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

A. G. Aksenova, V. F. Tishkinb, V. M. Chechetkinba

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

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.

Received: 18.09.2017


 English version:
Mathematical Models and Computer Simulations, 2019, 11:3, 360–373


© Steklov Math. Inst. of RAS, 2024