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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2020 Volume 60, Number 12, Pages 2162–2176 (Mi zvmmf11178)

This article is cited in 1 paper

Mathematical physics

Numerical comparison of the generalized Maxwell and Cercignani–Lampis models

A. A. Frolova

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119333 Russia

Abstract: An anisotropic gas–surface interaction model is examined for its possible use as a boundary condition in solving a kinetic equation. The surface aerodynamic coefficients and the temperatures obtained by applying a two-parameter anisotropic reflection model and the Cercignani–Lampis boundary condition for external flow problems with various Knudsen numbers and accommodation coefficients are numerically compared. It is shown that the geometry of the body influences the degree of the difference between the solutions for different models of boundary conditions.

Key words: kinetic equation, method of discrete velocities, Cercignani–Lampis boundary condition, anisotropic reflection model, gas–surface interaction.

UDC: 533.6.011.8

Received: 27.02.2020
Revised: 15.06.2020
Accepted: 04.08.2020

DOI: 10.31857/S0044466920120042


 English version:
Computational Mathematics and Mathematical Physics, 2020, 60:12, 2094–2107

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© Steklov Math. Inst. of RAS, 2026