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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 11, Pages 1949–1959 (Mi zvmmf10479)  

This article is cited in 7 scientific papers (total in 7 papers)

OpenMP + MPI parallel implementation of a numerical method for solving a kinetic equation

V. A. Titarevab, S. V. Utyuzhnikovac, A. V. Chikitkina

a Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, Russia
b Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russia
c University of Manchester, Manchester, UK

Abstract: A two-level OpenMP + MPI parallel implementation is used to numerically solve a model kinetic equation for problems with complex three-dimensional geometry. The scalability and robustness of the method are demonstrated by computing the classical gas flow through a circular pipe of finite length and the flow past a reentry vehicle model. It is shown that the two-level model significantly speeds up the computations and improves the scalability of the method.

Key words: S-model, computational rarefied gas dynamics, unstructured mesh, implicit TVD scheme, OpenMP, MPI, supercomputer computations.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-07911_а
15-07-02986_a
Ministry of Education and Science of the Russian Federation 11.G34.31.0072


DOI: https://doi.org/10.7868/S0044466916110144

Full text: PDF file (1606 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:11, 1919–1928

Bibliographic databases:

UDC: 519.634
Received: 06.08.2015
Revised: 05.10.2015

Citation: V. A. Titarev, S. V. Utyuzhnikov, A. V. Chikitkin, “OpenMP + MPI parallel implementation of a numerical method for solving a kinetic equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:11 (2016), 1949–1959; Comput. Math. Math. Phys., 56:11 (2016), 1919–1928

Citation in format AMSBIB
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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. V. A. Titarev, “Numerical modeling of high-speed rarefied gas flows over blunt bodies using model kinetic equations”, Eur. J. Mech. B-Fluids, 64:SI (2017), 112–117  crossref  mathscinet  isi
    2. M. N. Petrov, V. A. Titarev, S. V. Utyuzhnikov, A. V. Chikitkin, “A multithreaded OpenMP implementation of the LU-SGS method using the multilevel decomposition of the unstructured computational mesh”, Comput. Math. Math. Phys., 57:11 (2017), 1856–1865  mathnet  crossref  crossref  isi  elib
    3. G. Dimarco, R. Loubere, J. Narski, T. Rey, “An efficient numerical method for solving the Boltzmann equation in multidimensions”, J. Comput. Phys., 353 (2018), 46–81  crossref  mathscinet  zmath  isi
    4. V. A. Titarev, E. M. Shakhov, “Unsteady rarefied gas flow with shock wave in a channel”, Fluid Dyn., 53:1 (2018), 143–151  crossref  zmath  isi
    5. V. A. Titarev, “Application of model kinetic equations to hypersonic rarefied gas flows”, Comput. Fluids, 169, SI (2018), 62–70  crossref  mathscinet  zmath  isi  scopus
    6. O. V. Ilyin, “A method for simulating the dynamics of rarefied gas based on lattice Boltzmann equations and the BGK equation”, Comput. Math. Math. Phys., 58:11 (2018), 1817–1827  mathnet  crossref  crossref  isi  elib
    7. Titarev V.A., Faranosov G.A., Chernyshev S.A., Batrakov A.S., “Numerical Modeling of the Influence of the Relative Positions of a Propeller and Pylon on Turboprop Aircraft Noise”, Acoust. Phys., 64:6 (2018), 760–773  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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