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Keldysh Institute preprints, 2015, 079, 31 pages (Mi ipmp2041)  

This article is cited in 4 scientific papers (total in 4 papers)

Kinetic models and high performance computing

B. N. Chetverushkin, V. I. Saveliev


Abstract: The adaptation of the algorithms to the architect of the high performance computing systems with extramassive parallelism is quite difficult problem. For the solution of such problems in particular for the modeling of the continuous media dynamics is proposed to use the algorithms, based on the kinetic models. Such approach allowed to construct simply and, in the same time, high efficient algorithms for the high performance computing. In this publication the generalization of the kinetic models for the problems of the magneto gas dynamics (MGD) is considered and shown the examples of the solutions of the tree dimensional problems of MGD on the computational domain with more than one milliard cells.

Keywords: kinetic schemas, gas dynamics, magneto gas dynamics, numerical methods and algorithms, high performance computing.

Funding Agency Grant Number
Russian Science Foundation 14-11-00170


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Citation: B. N. Chetverushkin, V. I. Saveliev, “Kinetic models and high performance computing”, Keldysh Institute preprints, 2015, 079, 31 pp.

Citation in format AMSBIB
\Bibitem{CheSav15}
\by B.~N.~Chetverushkin, V.~I.~Saveliev
\paper Kinetic models and high performance computing
\jour Keldysh Institute preprints
\yr 2015
\papernumber 079
\totalpages 31
\mathnet{http://mi.mathnet.ru/ipmp2041}


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  • http://mi.mathnet.ru/eng/ipmp2041
  • http://mi.mathnet.ru/eng/ipmp/y2015/p79

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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. M. M. Gorbunov-Posadov, “Multimedia illustration of a mathematical model in a scientific article”, Math. Models Comput. Simul., 9:2 (2017), 185–189  mathnet  crossref  elib
    2. 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
    3. 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
    4. 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
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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