Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime

Autor:	Lin, Bo, Wang, Haoxuan, Yang, Siyao, Cai, Zhenning
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Physics - Fluid Dynamics 76P05 82C40
Druh dokumentu:	Working Paper
Popis:	We develop the time-dependent regularized 13-moment equations for general elastic collision models under the linear regime. Detailed derivation shows the proposed equations have super-Burnett order for small Knudsen numbers, and the moment equations enjoy a symmetric structure. A new modification of Onsager boundary conditions is proposed to ensure stability as well as the removal of undesired boundary layers. Numerical examples of one-dimensional channel flows is conducted to verified our model. Comment: 30 pages, 24 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.12845 Zobrazit plný text záznamu View this record from Arxiv