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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 3, Pages 473–484 (Mi zvmmf503)  
This article is cited in 8 scientific papers (total in 8 papers)

Smooth volume integral conservation law and method for problems in Lagrangian coordinates

T. Ismagilov

Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (1147 kB) Citations (8)
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Abstract: An integral conservation law is derived for smooth volume in Lagrangian coordinates (a comoving frame). A method for approximation of the integral smooth volume conservation law is discussed. An extension technique is suggested for development of smooth volume schemes. For hyperbolic systems, smooth volume upwind and Godunov schemes with monotonic reconstruction are derived. The schemes are applied to equations of gas dynamics and tested for three gas-dynamics shock tube problems. The solutions are monotonic and precise.
Key words: smooth particle method, smooth volume method, finite volume method, monotonic reconstruction, upwind, Godunov.
Received: 28.02.2005
Revised: 20.05.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 3, Pages 453–464
DOI: https://doi.org/10.1134/S0965542506030110
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: English
Citation: T. Ismagilov, “Smooth volume integral conservation law and method for problems in Lagrangian coordinates”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006), 473–484; Comput. Math. Math. Phys., 46:3 (2006), 453–464
Citation in format AMSBIB
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\by T.~Ismagilov
\paper Smooth volume integral conservation law and method for problems in Lagrangian coordinates
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 3
\pages 473--484
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2260303}
\zmath{https://zbmath.org/?q=an:05200918}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 3
\pages 453--464
\crossref{https://doi.org/10.1134/S0965542506030110}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746097331}
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    • This publication is cited in the following 8 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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    Full-text PDF :156
    References:56
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