Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime
Analysis of PDEs
2025-02-03 v3 Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.2407.12845,
title = {Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime},
author = {Bo Lin and Haoxuan Wang and Siyao Yang and Zhenning Cai},
journal= {arXiv preprint arXiv:2407.12845},
year = {2025}
}