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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 9, Pages 1659–1672 (Mi zvmmf114)  
This article is cited in 2 scientific papers (total in 2 papers)

Three-dimensional generalization for W-modification of a Godunov method

E. I. Vasilev, A. S. Demin

Volgograd State University, Universitetskii pr. 100, Volgograd, 400062, Russia
Full-text PDF (1501 kB) Citations (2)
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Abstract: A high-accuracy modification of Godunov's method for three-dimensional unsteady ideal gas flows is proposed. For the linear advection equation, a fully three-dimensional second-order accurate monotone scheme is designed with corrections computed on a variable stencil whose orientation depends on the signs of the equation coefficients. For the linear scalar advection equation, the scheme is proved to possess the positive approximation property. The method is tested by computing the flow in a three-dimensional Ludwieg tube with a square cross section.
Key words: three-dimensional generalization of the W-modification of Godunov's method, high-accuracy difference schemes, linear advection equations.
Received: 23.07.2007
Revised: 26.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 9, Pages 1620–1633
DOI: https://doi.org/10.1134/S096554250809011X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: E. I. Vasilev, A. S. Demin, “Three-dimensional generalization for W-modification of a Godunov method”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1659–1672; Comput. Math. Math. Phys., 48:9 (2008), 1620–1633
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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