Zh. Vychisl. Mat. Mat. Fiz., 2014 Volume 54, Number 6, Pages 1008–1021
(Mi zvmmf10053)
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Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee S. K. Godunov a ,
I. M. Kulikov bc a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Koptyuga 4, Novosibirsk, 630090, Russia b Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 6, Novosibirsk, 630090, Russia c Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia Abstract:
A new formulation of the Godunov scheme with linear Riemann problems is proposed that guarantees a nondecrease in entropy. The new version of the method is described for the simplest example of one-dimensional gas dynamics in Lagrangian coordinates.
Key words:
fluid dynamics equations, computation of discontinuous solutions, Godunov's scheme, entropy nondecrease guarantee.
UDC:
519.634
MSC: 76N15 (80A10) Received: 11.12.2013
DOI:
10.7868/S0044466914060088
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