RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 2, Pages 336–348 (Mi zvmmf11519)

This article is cited in 5 papers

Mathematical physics

Solution of the Boltzmann equation in the continuum flow regime

F. G. Cheremisin

Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 119991, Moscow, Russia

Abstract: A method for solving the Boltzmann equation is presented that makes it possible to calculate gas flows in the continuum flow regime described by the Navier–Stokes equations. Progress into the region of continuum flows was achieved by applying the conservative projection method for calculating the Boltzmann collision integral, which preserves the leading term of the Enskog–Chapman asymptotics. Optimization of this method that made it possible to considerably decrease the amount of computations is described. Examples of the longitudinal subsonic flow around a flat plate for the case of the Knudsen numbers Kn = (0.01,0.001,0.0001) are discussed.

Key words: solution of the Boltzmann equation, conservative projection method, continuum flow regime.

UDC: 519.634

Received: 22.06.2022
Revised: 15.08.2022
Accepted: 12.10.2022

DOI: 10.31857/S0044466923020060


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:2, 319–331

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026