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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 4, Pages 567–577
DOI: https://doi.org/10.31857/S0044466920040092 (Mi zvmmf11056) 		 
Generalized solutions of the galilean invariant thermodynamically compatible conservation laws constructed using Godunov's ideas

M. Ya. Ivanov, V. K. Mamaev

Central Institute of Aviation Motors, Moscow, Russia
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DOI: https://doi.org/10.31857/S0044466920040092
Abstract: The Galilean invariant thermodynamically compatible conservation laws that admit a class of generalized solutions is analyzed. The main feature of the generalized solutions considered in this paper is that they describe smooth solutions with the kinetic energy and total pressure loss, which accompany the dynamic process of heat supply. The principal properties of the generalized solutions analyzed in Godunov's works are the Galilean invariance and thermodynamic compatibilty of the original conservation laws under the closed mathematical formulation of the thermal gas-dynamic process.
Key words: conservation laws, generalized solutions, thermodynamic compatibility, entropy growth, kinetic energy loss, total pressure loss.
Received: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 4, Pages 558–567
DOI: https://doi.org/10.1134/S0965542520040090
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. Ya. Ivanov, V. K. Mamaev, “Generalized solutions of the galilean invariant thermodynamically compatible conservation laws constructed using Godunov's ideas”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 567–577; Comput. Math. Math. Phys., 60:4 (2020), 558–567
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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