Bulletin of the American Physical Society
65th Annual Meeting of the APS Division of Plasma Physics
Monday–Friday, October 30–November 3 2023; Denver, Colorado
Session JP11: Poster Session IV:
BEAMS: Laser- and beam-plasma interactions
Fundamental: Measurements and analysis in fundamental plasma physics; Plasma Sheaths, Sources, and Shocks
MFE: Turbulence and transport in fusion plasmas; High Field Tokamaks
2:00 PM - 5:00 PM
Tuesday, October 31, 2023
Room: Plaza ABC
Abstract: JP11.00050 : Hybrid particle-spectral method for kinetic plasma simulations*
Presenter:
Oleksandr Chapurin
(Los Alamos National Laboratory)
Authors:
Oleksandr Chapurin
(Los Alamos National Laboratory)
Oleksandr Koshkarov
(Los Alamos National Laboratory)
Gian Luca Delzanno
(Los Alamos National Laboratory)
Vadim S Roytershteyn
(Space Science Institute)
Robert M Chiodi
(Los Alamos National Laboratory)
Peter T Brady
(Los Alamos National Laboratory)
Zach Jibben
(Los Alamos National Laboratory)
Cale Harnish
(Los Alamos National Laboratory)
Ryan Wollaeger
(Los Alamos National Laboratory)
Svetlana Tokareva
(Los Alamos National Laboratory)
Daniel Livescu
(LANL)
The model splits the distribution function in the velocity space for plasma species in both spectral and particle representations with the goal of taking advantage of both.
The spectral approach leverages asymmetrically-weighted Hermite basis, and the particle-in-cell (PIC) method is used for the particle method. Configuration phase space is decomposed with the Fourier method which is well suited for periodic problems. The method's conservation properties for mass, momentum, and energy are derived. It is shown that the coupling error between spectral and particle representation is absent in the semi-discrete setting (not taking into account time discretization). Finally, numerical test cases are presented simulating a weak electron beam interaction with plasma, leading to beam-plasma instability. The initially localized electron beam evolved into a highly non-equilibrium distribution function in the velocity space. A small growth rate and resonance nature of instability makes it difficult to obtain accurate solutions for purely particle methods due to present noise which falls as ∽1/√Np with a number of particles. At the same time, purely spectral methods may require a large number of modes to capture the highly non-equilibrium state of the evolved beam. We show that the hybrid method is well suited for such problems, it reproduces the linear stage with sufficient accuracy as well as nonlinear dynamics with a highly non-equilibrium distribution function.
*This work was supported by the Laboratory Directed Research and Development Program of Los Alamos National Laboratory under projects number 20170207ER and 20220104DR. Los Alamos National Laboratory is operated by Triad National Security,LLC, for the National Nuclear Security Administration ofU.S. Department of Energy (Contract No. 89233218CNA000001).Computational resources for the simulations were provided by the Los Alamos National Laboratory Institutional Computing Program.
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