带昂萨格边界条件的一般气体分子线性正则 13 常量方程

IF 1.9 4区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Applied Mathematics Pub Date : 2024-02-02 DOI:10.1137/23m1556472

Zhenning Cai, Manuel Torrilhon, Siyao Yang

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引用次数: 0

摘要

SIAM 应用数学杂志》第 84 卷第 1 期第 215-245 页，2024 年 2 月。摘要。我们建立了稀薄气体动力学一般碰撞模型的线性稳态正则化 13 矩方程。对于小克努森数，该模型精确到超伯内特阶，并且所得到的矩方程组具有对称结构。我们还为力矩方程提出了保证方程稳定性的 Onsager 边界条件。我们通过一维通道流的基准实例验证了模型的有效性。

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Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules

SIAM Journal on Applied Mathematics, Volume 84, Issue 1, Page 215-245, February 2024.
Abstract. We develop the steady-state regularized 13-moment equations in the linear regime for rarefied gas dynamics with general collision models. For small Knudsen numbers, the model is accurate up to the super-Burnett order, and the resulting system of moment equations is shown to have a symmetric structure. We also propose Onsager boundary conditions for the moment equations that guarantee the stability of the equations. The validity of our model is verified by benchmark examples for the one-dimensional channel flows.

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来源期刊

SIAM Journal on Applied Mathematics 数学-应用数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life sciences. Examples are problems in fluid mechanics, including reaction-diffusion problems, sedimentation, combustion, and transport theory; solid mechanics; elasticity; electromagnetic theory and optics; materials science; mathematical biology, including population dynamics, biomechanics, and physiology; linear and nonlinear wave propagation, including scattering theory and wave propagation in random media; inverse problems; nonlinear dynamics; and stochastic processes, including queueing theory. Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods.