arXiv Open Access 2024

Conservative Closures of the Vlasov-Poisson Equations Based on Symmetrically Weighted Hermite Spectral Expansion

Opal Issan Oleksandr Koshkarov Federico D. Halpern Boris Kramer Gian Luca Delzanno

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Abstrak

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.

Topik & Kata Kunci

physics.comp-ph physics.plasm-ph

Penulis (5)

Opal Issan

Oleksandr Koshkarov

Federico D. Halpern

Boris Kramer

Gian Luca Delzanno

Format Sitasi

APA MLA BibTeX

Issan, O., Koshkarov, O., Halpern, F.D., Kramer, B., Delzanno, G.L. (2024). Conservative Closures of the Vlasov-Poisson Equations Based on Symmetrically Weighted Hermite Spectral Expansion. https://arxiv.org/abs/2407.09626

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓