S. K. Godunov, Yu. D. Manuzina, M. A. Nazareva, “Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 1,Pages <nobr>96

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Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics

S. K. Godunov^a, Yu. D. Manuzina^b, M. A. Nazareva^b

^a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090 Russia
^b Novosibirsk State Technical University, pr. K. Marksa 20, Novosibirsk, 630092 Russia

Abstract: Convergence of the approximate solution of fluid dynamics problems obtained using Godunov's scheme to the discontinuous solution is investigated.

Key words: equations of fluid dynamics, experimental analysis of convergence of solution, Godunov's difference scheme.

UDC: 519.634

Received: 06.09.2010