Application of a direct method for solving the Boltzmann equation in supersonic flow computation

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...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics Vol. 56; no. 11; pp. 1938 - 1947
Main Authors: Aristov, V. V., Rovenskaya, O. I.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.11.2016
Springer Nature B.V
Subjects:
Algorithms
Computational mathematics
Computational Mathematics and Numerical Analysis
Equilibrium
Fluid mechanics
Friction
Gas flow
Heat transfer
Kinetics
Mathematical analysis
Mathematics
Mathematics and Statistics
Methods
Navier-Stokes equations
Reynolds number
Shock waves
Studies
Turbulence models
algorithm parallelization
explicit–implicit difference scheme
flow instability
Boltzmann kinetic equation
supersonic compressible flow
ISSN:0965-5425, 1555-6662
Online Access:Get full text
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Summary: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.
Bibliography:SourceType-Scholarly Journals-1
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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542516110038