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Matem. Mod., 2015, Volume 27, Number 5, Pages 65–79 (Mi mm3600)  

This article is cited in 6 scientific papers (total in 6 papers)

Kinetic models for supercomputer simulation continuous mechanic problems

B. N. Chetverushkin

Keldysh Institute of Applied Mathematic RAS

Abstract: Using kinetic models of one particle distribution function for supercomputer simulation of continuous mechanic problems are discussed. The construction of such models is based on existence space and time scale less of which there is no physical sense for detalization of numerical solution. This method applied for simulation $3\mathrm{D}$ problem for which approximation used the fine meshes with more then $10^9$ numerical nodes.

Keywords: high performance computing, explisit schemes, kinetic models, continium medium.

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English version:
Mathematical Models and Computer Simulations, 2015, 7:6, 531–539

Document Type: Article
Received: 07.10.2014

Citation: B. N. Chetverushkin, “Kinetic models for supercomputer simulation continuous mechanic problems”, Matem. Mod., 27:5 (2015), 65–79; Math. Models Comput. Simul., 7:6 (2015), 531–539

Citation in format AMSBIB
\Bibitem{Che15}
\by B.~N.~Chetverushkin
\paper Kinetic models for supercomputer simulation continuous mechanic problems
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 5
\pages 65--79
\mathnet{http://mi.mathnet.ru/mm3600}
\elib{http://elibrary.ru/item.asp?id=24850024}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 6
\pages 531--539
\crossref{https://doi.org/10.1134/S2070048215060034}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84947425782}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. B. Chetverushkin, N. D'Ascenzo, A. Saveliev, V. Saveliev, “A kinetic model for magnetogasdynamics”, Math. Models Comput. Simul., 9:5 (2017), 544–553  mathnet  crossref  elib
    2. V. I. Baluta, Yu. I. Nechaev, V. P. Osipov, B. N. Chetverushkin, “Kontseptualnyi bazis superkompyuternoi platformy prikladnogo modelirovaniya, prognozirovaniya i ekspertiz konfliktnogo vzaimodeistviya”, Preprinty IPM im. M. V. Keldysha, 2017, 028, 20 pp.  mathnet  crossref
    3. B. N. Chetverushkin, A. A. Zlotnik, “On some properties of multidimensional hyperbolic quasi-gasdynamic systems of equations”, Russ. J. Math. Phys., 24:3 (2017), 299–309  crossref  mathscinet  zmath  isi  scopus
    4. V. V. Vedenyapin, T. S. Kazakova, V. Ya. Kisselevskaya-Babinina, B. N. Chetverushkin, “Schrodinger equation as a self-consistent field”, Dokl. Math., 97:3 (2018), 240–242  crossref  zmath  isi  scopus
    5. B. N. Chetverushkin, N. D'Ascenzo, A. V. Saveliev, V. I. Saveliev, “Kinetic model and magnetogasdynamics equations”, Comput. Math. Math. Phys., 58:5 (2018), 691–699  mathnet  crossref  crossref  isi  elib
    6. B. N. Chetverushkin, A. V. Saveliev, V. I. Saveliev, “A quasi-gasdynamic model for the description of magnetogasdynamic phenomena”, Comput. Math. Math. Phys., 58:8 (2018), 1384–1394  mathnet  crossref  crossref  isi  elib
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