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Zh. Vychisl. Mat. Mat. Fiz., 2020, Volume 60, Number 3, Pages 503–519 (Mi zvmmf11051)  

Application of the energy conservation law in the cold plasma model

A. A. Frolova, E. V. Chizhonkovb

a Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991 Russia
b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119899 Russia

Abstract: For the two-fluid hydrodynamic cold plasma model, differential relations characterizing the energy conservation law are derived. The case when the motion of the heavier ions can be neglected as compared with the electrons and the situations with and without allowance for the relativistic factor in the electron dynamics are considered separately. For the problem of free plasma oscillations initiated by a short intense laser pulse, numerical results concerning the fulfillment of the energy conservation law in all above-mentioned situations are presented. The main result is that the reliability of the computations can be improved substantially via the standard theoretical study of the approximation and stability, together with experimental observation of energy conservation.

Key words: energy conservation law, numerical simulation, plasma oscillations, breaking effect, finitedifference scheme, order of accuracy.

DOI: https://doi.org/10.31857/S0044466920030096


English version:
Computational Mathematics and Mathematical Physics, 2020, 60:3, 498–513

Bibliographic databases:

UDC: 519.633.6
Received: 20.08.2019
Revised: 20.08.2019
Accepted:18.11.2019

Citation: A. A. Frolov, E. V. Chizhonkov, “Application of the energy conservation law in the cold plasma model”, Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020), 503–519; Comput. Math. Math. Phys., 60:3 (2020), 498–513

Citation in format AMSBIB
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\pages 503--519
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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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