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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 11, Pages 1970–1980 (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

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


DOI: https://doi.org/10.7868/S004446691611003X

Full text: PDF file (726 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:11, 1938–1947

Bibliographic databases:

UDC: 533.634
Received: 20.07.2015
Revised: 29.04.2016

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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