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Matematicheskoe modelirovanie, 2015, Volume 27, Number 5, Pages 65–79 (Mi mm3600)  

This article is cited in 20 scientific papers (total in 20 papers)

Kinetic models for supercomputer simulation continuous mechanic problems

B. N. Chetverushkin

Keldysh Institute of Applied Mathematic RAS
References:
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 3D problem for which approximation used the fine meshes with more then 109 numerical nodes.
Keywords: high performance computing, explisit schemes, kinetic models, continium medium.
Received: 07.10.2014
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 6, Pages 531–539
DOI: https://doi.org/10.1134/S2070048215060034
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. N. Chetverushkin, “Kinetic models for supercomputer simulation continuous mechanic problems”, Mat. Model., 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 Mat. Model.
\yr 2015
\vol 27
\issue 5
\pages 65--79
\mathnet{http://mi.mathnet.ru/mm3600}
\elib{https://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{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84947425782}
Linking options:
  • https://www.mathnet.ru/eng/mm3600
  • https://www.mathnet.ru/eng/mm/v27/i5/p65
  • This publication is cited in the following 20 articles:
    1. V. N. Litvinov, A. E. Chistyakov, A. V. Nikitina, A. M. Atayan, I. Yu. Kuznetsova, “Matematicheskoe modelirovanie gidrodinamicheskikh protsessov Azovskogo morya na mnogoprotsessornoi vychislitelnoi sisteme”, Kompyuternye issledovaniya i modelirovanie, 16:3 (2024), 647–672  mathnet  crossref
    2. A. I. Sukhinov, A. E. Chistyakov, Yu. V. Belova, I. Yu. Kuznetsova, “Analytical and numerical study of the problem of plankton population dynamics in the presence of microplastics”, Math. Models Comput. Simul., 16:5 (2024), 717–729  mathnet  crossref  crossref
    3. S. V. Polyakov, V. O. Podryga, N. I. Tarasov, “Modeling of Supersonic Flow around Bodies of Revolution of Different Shapes”, Math Models Comput Simul, 16:S2 (2024), S250  crossref
    4. A. I. Sukhinov, A. E. Chistyakov, A. V. Nikitina, A. M. Atayan, V. N. Litvinov, “A method of solving grid equations for hydrodynamic problems in flat areas”, Math. Models Comput. Simul., 15:5 (2023), 802–816  mathnet  crossref  crossref  mathscinet
    5. A. E. Chistyakov, A. V. Nikitina, I. Yu. Kuznetsova, E. O. Rakhimbaeva, M. V. Porksheyan, “Investigation of the Approximation Error of the Difference Scheme for the Mathematical Model of Hydrodynamics”, Lobachevskii J Math, 44:5 (2023), 1839  crossref
    6. A.I. Sukhinov, A.E. Chistyakov, A.V. Nikitina, A.M. Atayan, V.N. Litvinov, M.V. Porksheyan, “Construction of parallel algorithms for modeling hydrodynamic processes in the Azov sea based on hybrid MPI+OpenMP technology”, Comp. Contin. Mech., 16:1 (2023), 17  crossref
    7. Nicola D'Ascenzo, Qingguo Xie, Emanuele Antonecchia, Mariachiara Ciardiello, Giancarlo Pagnani, Michele Pisante, “Kinetically Consistent Data Assimilation for Plant PET Sparse Time Activity Curve Signals”, Front. Plant Sci., 13 (2022)  crossref
    8. A. I. Sukhinov, A. E. Chistyakov, I. Y. Kuznetsova, A. M. Atayan, A. V. Nikitina, “Regularized difference scheme for solving hydrodynamic problems”, Math. Models Comput. Simul., 14:5 (2022), 745–754  mathnet  crossref  crossref  mathscinet
    9. V. V. Vedenyapin, N. I. Karavaeva, O. A. Kostyuk, B. N. Chetverushkin, “Uravnenie Shredingera kak sledstvie novykh uravnenii tipa Vlasova”, Preprinty IPM im. M. V. Keldysha, 2019, 026, 11 pp.  mathnet  crossref  elib
    10. A. I. Nikiforov, R. V. Sadovnikov, “Application of parallel programming methods for simulating flow diversion technologies on hybrid architecture computers”, Program. Comput. Softw., 45:1 (2019), 18–26  crossref  mathscinet  isi  scopus
    11. Chistyakov Alexander, Elena Protsenko, SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS: ICMSS-2019, 2201, SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS: ICMSS-2019, 2019, 050020  crossref
    12. Valery V. Kozlov, Boris N. Chetverushkin, Alexander P. Buslaev, Alexander G. Tatashev, Marina V. Yashina, Traffic and Granular Flow '17, 2019, 433  crossref
    13. Alexander I. Sukhinov, Alexander E. Chistyakov, Valentina V. Sidoryakina, Elena A. Protsenko, Communications in Computer and Information Science, 1129, Supercomputing, 2019, 39  crossref
    14. V. V. Vedenyapin, T. S. Kazakova, Ya. K. V., B. N. Chetverushkin, “Schrödinger equation as a self-consistent field”, Dokl. Math., 97:3 (2018), 240–242  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus
    15. 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
    16. 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
    17. 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
    18. 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
    19. 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
    20. Chetverushkin B.N., D'Ascenzo N., Saveliev A.V., Saveliev V.I., “Novel Kinetically Consistent Algorithm For Magneto Gas Dynamics”, Appl. Math. Lett., 72 (2017), 75–81  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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