Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929692864413696 |
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| author | Lin, Bo Wang, Haoxuan Yang, Siyao Cai, Zhenning |
| author_facet | Lin, Bo Wang, Haoxuan Yang, Siyao Cai, Zhenning |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12845 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime Lin, Bo Wang, Haoxuan Yang, Siyao Cai, Zhenning Analysis of PDEs Fluid Dynamics 76P05, 82C40 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. |
| title | Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime |
| topic | Analysis of PDEs Fluid Dynamics 76P05, 82C40 |
| url | https://arxiv.org/abs/2407.12845 |