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Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 5, Pages 767–782 (Mi zvmmf9857)  

This article is cited in 3 scientific papers (total in 3 papers)

Implicit multiblock method for solving a kinetic equation on unstructured meshes

M. Dumbsera, V. A. Titarevbc, S. V. Utyuzhnikovcd

a I-38123, Trento, Italy, University of Trento
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
c Moscow Institute of Physics and Technology (State University)
d M60 1QD, Manchester, UK, University of Manchester

Abstract: A parallel multiblock implementation of a second-order accurate implicit numerical method based on solving a model kinetic equation is proposed for analyzing three-dimensional rarefied gas flows. The performance of the method is illustrated by computing test examples of gas flows in a circular pipe in a wide range of Knudsen numbers. The convergence rate and scalability of the method are analyzed depending on the number of blocks in the spatial grid.

Key words: rarefied gas $S$-model, kinetic equation, implicit TVD-scheme.

DOI: https://doi.org/10.7868/S0044466913050141

Full text: PDF file (585 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2013, 53:5, 601–615

Bibliographic databases:

UDC: 519.634
Received: 23.07.2012
Revised: 13.12.2012

Citation: M. Dumbser, V. A. Titarev, S. V. Utyuzhnikov, “Implicit multiblock method for solving a kinetic equation on unstructured meshes”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 767–782; Comput. Math. Math. Phys., 53:5 (2013), 601–615

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. A. Titarev, S. V. Utyuzhnikov, A. V. Chikitkin, “OpenMP + MPI parallel implementation of a numerical method for solving a kinetic equation”, Comput. Math. Math. Phys., 56:11 (2016), 1919–1928  mathnet  crossref  crossref  isi  elib
    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. E. Deriaz, S. Peirani, “Six-dimensional adaptive simulation of the Vlasov equations using a hierarchical basis”, Multiscale Model. Simul., 16:2 (2018), 583–614  crossref  mathscinet  zmath  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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