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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2007 Volume 47, Number 9, Pages 1591–1601 (Mi zvmmf252)

This article is cited in 13 papers

Necessity of entropy control in gasdynamic computations

G. P. Prokopov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

Abstract: A recently published numerical approach is used to perform an analytical study of the behavior of entropy in the numerical integration of gas dynamics equations. The study confirms the existence of discontinuous solutions for which the principle of nondecreasing entropy can be violated. A simple entropy-controlling algorithm is proposed for gasdynamic flow computations and other numerical methods.

Key words: gas dynamics, computation, entropy, control.

UDC: 519.634

Received: 27.12.2006


 English version:
Computational Mathematics and Mathematical Physics, 2007, 47:9, 1528–1537

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