Conservative Closures of the Vlasov-Poisson Equations Based on Symmetrically Weighted Hermite Spectral Expansion
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915055239430144 |
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| author | Issan, Opal Koshkarov, Oleksandr Halpern, Federico D. Kramer, Boris Delzanno, Gian Luca |
| author_facet | Issan, Opal Koshkarov, Oleksandr Halpern, Federico D. Kramer, Boris Delzanno, Gian Luca |
| contents | We derive conservative closures of the Vlasov-Poisson equations discretized in velocity via the symmetrically weighted Hermite spectral expansion. The short note analyzes the conservative closures preservation of the hyperbolicity and anti-symmetry of the Vlasov equation. Furthermore, we verify numerically the analytically derived conservative closures on simulating a classic electrostatic benchmark problem: the Langmuir wave. The numerical results and analytic analysis show that the closure by truncation is the most suitable conservative closure for the symmetrically weighted Hermite formulation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_09626 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conservative Closures of the Vlasov-Poisson Equations Based on Symmetrically Weighted Hermite Spectral Expansion Issan, Opal Koshkarov, Oleksandr Halpern, Federico D. Kramer, Boris Delzanno, Gian Luca Computational Physics Plasma Physics We derive conservative closures of the Vlasov-Poisson equations discretized in velocity via the symmetrically weighted Hermite spectral expansion. The short note analyzes the conservative closures preservation of the hyperbolicity and anti-symmetry of the Vlasov equation. Furthermore, we verify numerically the analytically derived conservative closures on simulating a classic electrostatic benchmark problem: the Langmuir wave. The numerical results and analytic analysis show that the closure by truncation is the most suitable conservative closure for the symmetrically weighted Hermite formulation. |
| title | Conservative Closures of the Vlasov-Poisson Equations Based on Symmetrically Weighted Hermite Spectral Expansion |
| topic | Computational Physics Plasma Physics |
| url | https://arxiv.org/abs/2407.09626 |