Exact hydrodynamic manifolds for the linear Boltzmann BGK equation II: spectral closure

被引：0

作者：

Kogelbauer, Florian ^{[1
]}

Karlin, Ilya ^{[1
]}

机构：

[1] Swiss Fed Inst Technol, Dept Mech & Proc Engn, Leonhardstr 27, CH-8092 Zurich, Switzerland

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2025年 / 37卷 / 03期

基金：

欧洲研究理事会;

关键词：

Kinetic theory; BGK equation; Hydrodynamics; Moment closure problem; Spectral theory; CHAPMAN-ENSKOG; MOLECULAR VELOCITIES; VISCOSITY;

D O I：

10.1007/s00161-025-01379-8

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We give an explicit description of the spectral closure for the three-dimensional linear Boltzmann-BGK equation in terms of the macroscopic fields, density, flow velocity and temperature. This results in a new linear fluid dynamics model which is valid for any relaxation time, thus providing an optimal hydrodynamic model for rarefied gas flow over a large range of Knudsen numbers. The non-local exact fluid dynamics equations are compared to the Euler, Navier-Stokes and Burnett equations. Our results are based on a detailed spectral analysis of the linearized Boltzmann-BGK operator together with a suitable choice of spectral projection.

引用

页数：27

共 46 条

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