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Matematicheskoe modelirovanie, 2013, Volume 25, Number 7, Pages 103–136 (Mi mm3385)  
This article is cited in 7 scientific papers (total in 7 papers)

Generalization of CABARET scheme for two-dimensional orthogonal computational grid

V. M. Goloviznin, S. A. Karabasov, V. G. Kondakov

Nuclear Safety Institute of Russian Academy of Sciences
Full-text PDF (1303 kB) Citations (7)
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Abstract: CABARET scheme was generalized in two-dimensional case. The transition from one-dimensional problem to multidimensional connected with a number of new questions. The first one is spatial splitting procedure of flux variables. The another question connected with application of maximum principle for local invariant transport in different directions. Simulation test examples are given for each problem considered.
Keywords: CABARET, conservative schemes.
Received: 28.06.2012
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 1, Pages 56–79
DOI: https://doi.org/10.1134/S2070048214010050
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. M. Goloviznin, S. A. Karabasov, V. G. Kondakov, “Generalization of CABARET scheme for two-dimensional orthogonal computational grid”, Mat. Model., 25:7 (2013), 103–136; Math. Models Comput. Simul., 6:1 (2014), 56–79
Citation in format AMSBIB
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\paper Generalization of CABARET scheme for two-dimensional orthogonal computational grid
\jour Mat. Model.
\yr 2013
\vol 25
\issue 7
\pages 103--136
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3185049}
\elib{https://elibrary.ru/item.asp?id=21276900}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 1
\pages 56--79
\crossref{https://doi.org/10.1134/S2070048214010050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925934033}
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  • https://www.mathnet.ru/eng/mm3385
  • https://www.mathnet.ru/eng/mm/v25/i7/p103
    • This publication is cited in the following 7 articles:
    1. Alexey Kiverin, Andrey Yarkov, Ivan Yakovenko, “On the Features of Numerical Simulation of Hydrogen Self-Ignition under High-Pressure Release”, Computation, 12:5 (2024), 103  crossref
    2. Ivan Yakovenko, Alexey Kiverin, “Numerical Modeling of Hydrogen Combustion: Approaches and Benchmarks”, Fire, 6:6 (2023), 239  crossref
    3. Valentin A. Gushchin, Vasilii G. Kondakov, Lecture Notes in Computer Science, 13127, Large-Scale Scientific Computing, 2022, 117  crossref
    4. Valentin A. Gushchin, Vasilii G. Kondakov, Irina A. Smirnova, Smart Innovation, Systems and Technologies, 217, Applied Mathematics and Computational Mechanics for Smart Applications, 2021, 35  crossref
    5. D. V. Sadin, “Analiz dissipativnykh svoistv gibridnogo metoda krupnykh chastits dlya strukturno slozhnykh techenii gaza”, Kompyuternye issledovaniya i modelirovanie, 12:4 (2020), 757–772  mathnet  crossref
    6. Valentin A. Gushchin, Vasilii G. Kondakov, Lecture Notes in Computer Science, 11386, Finite Difference Methods. Theory and Applications, 2019, 274  crossref
    7. Gushchin V.A., Kondakov V.G., “On Some Approaches For a Free Surface Fluid Flows Modeling”, AIP Conference Proceedings, 2025, ed. Todorov M., Amer Inst Physics, 2018, 020003-1  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:94
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