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arXiv · 2407.12845

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

Bo Lin·Haoxuan Wang·Siyao Yang·Zhenning Cai
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Abstract

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.

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Bo Lin, Haoxuan Wang, Siyao Yang, Zhenning Cai. 2024-07-05. Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime. https://arxiv.org/abs/2407.12845

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