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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 11, Pages 1970–1980
DOI: https://doi.org/10.7868/S004446691611003X (Mi zvmmf10485) 		 
Application of a direct method for solving the Boltzmann equation in supersonic flow computation

V. V. Aristov, O. I. Rovenskaya

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S004446691611003X
Abstract: The Boltzmann kinetic equation is used to numerically study the evolution of separated flows over a backward-facing step at low Knudsen numbers. The Boltzmann equation is solved by applying an explicit-implicit scheme. To improve the efficiency of the solution algorithm, it is parallelized with the help of MPI. The solution obtained with the kinetic equation is compared with those based on continuous medium equations. It is shown that the kinetic approach makes it possible to reproduce the distributions of surface pressure, friction coefficient, and heat transfer, as well as to obtain a flow structure close to experimental data.
Key words: Boltzmann kinetic equation, supersonic compressible flow, explicit-implicit difference scheme, flow instability, algorithm parallelization.
Funding agency Grant number
Russian Science Foundation 14-11-00870
Received: 20.07.2015
Revised: 29.04.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 11, Pages 1938–1947
DOI: https://doi.org/10.1134/S0965542516110038
Bibliographic databases:
Document Type: Article
UDC: 533.634
Language: Russian
Citation: V. V. Aristov, O. I. Rovenskaya, “Application of a direct method for solving the Boltzmann equation in supersonic flow computation”, Zh. Vychisl. Mat. Mat. Fiz., 56:11 (2016), 1970–1980; Comput. Math. Math. Phys., 56:11 (2016), 1938–1947
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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