A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures

被引：12

作者：

Haack, J. ^{[1
]}

Hauck, C. ^{[2
]}

Klingenberg, C. ^{[3
]}

Pirner, M. ^{[3
]}

Warnecke, S. ^{[3
]}

机构：

[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

[2] Oak Ridge Natl Lab, 1 Bethel Valley Rd,Bldg 5700, Oak Ridge, TN 37831 USA

[3] Univ Wurzburg, Emil Fischer Str 40, D-97074 Wurzburg, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2021年 / 184卷 / 03期

基金：

奥地利科学基金会;

关键词：

Multi-fluid mixture; Kinetic model; BGK approximation; Plasma physics; Velocity-dependent collision frequency; Entropy minimization; KINETIC-MODEL; MAXIMUM-ENTROPY; OPTIMIZATION; RELAXATION; DERIVATION; CLOSURES;

D O I：

10.1007/s10955-021-02821-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium.

引用

页数：17

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