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Matematicheskoe modelirovanie, 2017, Volume 29, Number 9, Pages 3–18 (Mi mm3883)  
This article is cited in 7 scientific papers (total in 7 papers)

On a stability of discontinuous particle method for transfer equation

A. Zh. Baevab, S. V. Bogomolovab

a Kazakhstan Branch of Lomonosov Moscow State University
b Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (441 kB) Citations (7)
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Abstract: Nonlinear transfer of mass, momentum and energy is the main pecularity of gas dynamics. A «discontinuous» particle method is proposed for its efficient numerical modeling. The method is discribed in details in application to linear and nonlinear transfer processes. Necessary and sufficient monotonicity and stability condition of discontinuous particle method for regularized Hopf equation is obtained. At a simplest example of discontinuous solution, the method advantages, which include a discontinuty widening over only one particle, self adaptation of space resolution to solution pecularities, are shown.
Keywords: particle method, gas dynamics problems, transfer equations, micro- macromodels, Courant condition, Hopf equation.
Received: 14.09.2015
Revised: 09.01.2017
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 2, Pages 186–197
DOI: https://doi.org/10.1134/S2070048218020023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Zh. Baev, S. V. Bogomolov, “On a stability of discontinuous particle method for transfer equation”, Mat. Model., 29:9 (2017), 3–18; Math. Models Comput. Simul., 10:2 (2018), 186–197
Citation in format AMSBIB
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\by A.~Zh.~Baev, S.~V.~Bogomolov
\paper On a stability of discontinuous particle method for transfer equation
\jour Mat. Model.
\yr 2017
\vol 29
\issue 9
\pages 3--18
\mathnet{http://mi.mathnet.ru/mm3883}
\elib{https://elibrary.ru/item.asp?id=29972276}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 2
\pages 186--197
\crossref{https://doi.org/10.1134/S2070048218020023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044936804}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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