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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 4, Pages 723–734 (Mi zvmmf9240)  
This article is cited in 3 scientific papers (total in 3 papers)

High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion

N. Ya. Moiseev

All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Box 245, Snezhinsk, 456770 Russia
Full-text PDF (320 kB) Citations (3)
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Abstract: An approach to the construction of high-order accurate monotone difference schemes for solving gasdynamic problems by Godunov’s method with antidiffusion is proposed. Godunov's theorem on monotone schemes is used to construct a new antidiffusion flux limiter in high-order accurate difference schemes as applied to linear advection equations with constant coefficients. The efficiency of the approach is demonstrated by solving linear advection equations with constant coefficients and one-dimensional gasdynamic equations.
Key words: gasdynamic problems, high-order accurate monotone staggered schemes, Godunov's method, flux limiter, antidiffusion, advection equation.
Received: 10.07.2009
Revised: 20.05.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 4, Pages 676–687
DOI: https://doi.org/10.1134/S0965542511040129
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. Ya. Moiseev, “High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011), 723–734; Comput. Math. Math. Phys., 51:4 (2011), 676–687
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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    References:56
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