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

doi:10.1016/j.jcp.2025.113741

Conservative closures of the Vlasov-Poisson equations based on symmetrically weighted Hermite spectral expansion

Journal Article · Mon Jan 13 00:00:00 EST 2025 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2025.113741· OSTI ID:2499833

^[1]; ^[2]; Halpern, Federico D. ^[3]; Kramer, Boris ^[4]; ^[2]

Univ. of California, San Diego, CA (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
General Atomics, San Diego, CA (United States)
Univ. of California, San Diego, CA (United States)

We derive conservative closures for the Vlasov-Poisson equations discretized in velocity via the symmetrically weighted Hermite spectral expansion. We demonstrate that no closure can simultaneously restore the conservation of mass, momentum, and energy in this formulation. The properties of the analytically derived conservative closures of each conserved quantity are validated numerically by simulating an electrostatic benchmark problem: the Langmuir wave. Both the numerical results and analytical analysis indicate that closure by truncation (i.e. setting the last Hermite moment to zero) is the most suitable conservative closure for the symmetrically weighted Hermite formulation.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: 89233218CNA000001; FG02-95ER54309

OSTI ID:: 2499833

Alternate ID(s):: OSTI ID: 2500871

Report Number(s):: LA-UR--24-33236

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 524; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Conservative closures of the Vlasov-Poisson equations based on symmetrically weighted Hermite spectral expansion

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