High-order accurate difference schemes for solving gasdynamic equations by the Godunov method with antidiffusion-Reference-Cited by-同舟云学术

High-order accurate difference schemes for solving gasdynamic equations by the Godunov method with antidiffusion

Published:2009-05 Issue:5 Volume:49 Page:827-841
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Moiseev N. Ya.,Silant’eva I. Yu.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S096554250905008X.pdf

Reference31 articles.

1. S. K. Godunov, “Finite-Difference Method for Calculating Discontinuous Solutions to Fluid Dynamics Equations,” Mat. Sb. 47(89), 271–306 (1959).

2. S. K. Godunov, A. V. Zabrodin, and G. P. Prokopov, “Finite-Difference Scheme for Two-Dimensional Unsteady Gas Dynamics and the Computation of a Detached Shock Wave,” Zh. Vychisl. Mat. Mat. Fiz. 1, 1020–1050 (1961).

3. G. B. Alalykin, S. K. Godunov, I. L. Kireeva, et al., Solution of One-Dimensional Problems in Gas Dynamics on Moving Grids (Nauka, Moscow, 1970) [in Russian].

4. S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, et al., Numerical Solution of Multidimensional Problems in Gas Dynamics (Nauka, Moscow, 1976) [in Russian].

5. A. G. Kulikovskii, N. V. Pogorelov, and A. Yu. Semenov, Mathematical Aspects of Numerical Solution of Hyperbolic Systems (Fizmatlit, Moscow, 2001; Chapman & Hall/CRC, London, 2001).

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