Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime
Autor: | Lin, Bo, Wang, Haoxuan, Yang, Siyao, Cai, Zhenning |
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Rok vydání: | 2024 |
Předmět: | |
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 |
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