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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 4, Pages 697–710
DOI: https://doi.org/10.7868/S0044466914040073 (Mi zvmmf10023) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the choice of a method for integrating the equations of motion of a set of fluid particles

V. N. Govorukhin

Southern Federal University, ul. Mil’chakova 8a, Rostov-on-Don, 344090, Russia
Full-text PDF (1463 kB) Citations (6)
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DOI: https://doi.org/10.7868/S0044466914040073
Abstract: Results of numerical experiments are described in which the evolution of a set of fluid particles is computed using various time integration methods. Known exact solutions of the inviscid equations are used to analyze the errors of the methods occurring on various time intervals at the same computational costs. An adaptive algorithm for choosing an integration method depending on the domain of the phase space is proposed. The numerical results are presented as tables and plots.
Key words: fluid particle dynamics, methods for solving Cauchy problems, numerical method, adaptive algorithm.
Received: 16.09.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 4, Pages 706–718
DOI: https://doi.org/10.1134/S0965542514040071
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. N. Govorukhin, “On the choice of a method for integrating the equations of motion of a set of fluid particles”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 697–710; Comput. Math. Math. Phys., 54:4 (2014), 706–718
Citation in format AMSBIB
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    • This publication is cited in the following 6 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:55
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