Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910426457964544 |
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| author | Habbershaw, Evan Hauck, Cory D. Wise, Steven M. |
| author_facet | Habbershaw, Evan Hauck, Cory D. Wise, Steven M. |
| contents | A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-species Bhatnagar-Gross-Krook (M-BGK) model with nontrivial collision frequencies depending on individual species temperatures. We prove that under mild time step restrictions, the iterative method generates a contraction mapping. Numerical simulations are provided to illustrate results of the IMEX scheme using the implicit moment solver. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18039 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model Habbershaw, Evan Hauck, Cory D. Wise, Steven M. Numerical Analysis Mathematical Physics 76P05, 47J25, 35Q70, 82C40, 65L04 A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-species Bhatnagar-Gross-Krook (M-BGK) model with nontrivial collision frequencies depending on individual species temperatures. We prove that under mild time step restrictions, the iterative method generates a contraction mapping. Numerical simulations are provided to illustrate results of the IMEX scheme using the implicit moment solver. |
| title | Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model |
| topic | Numerical Analysis Mathematical Physics 76P05, 47J25, 35Q70, 82C40, 65L04 |
| url | https://arxiv.org/abs/2404.18039 |