Solution of the Boltzmann Equation in the Continuum Flow Regime-Reference-Cited by-同舟云学术

Solution of the Boltzmann Equation in the Continuum Flow Regime

Published:2023-02-01 Issue:2 Volume:63 Page:336-348
ISSN:0044-4669
Container-title:Журнал вычислительной математики и математической физики
language:
Short-container-title:Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki

Author:

Tcheremissine F. G.¹

Affiliation:

1. Federal Research Center “Computer Science and Control,” Russian Academy of Sciences

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.

Publisher

The Russian Academy of Sciences

Reference21 articles.

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