Spectral solver for multiscale plasma physics simulations with dynamically adaptive number of moments
A spectral method for kinetic plasma simulations based on the expansion of the velocity distribution function in a variable number of Hermite polynomials is presented. The method is based on a set of nonlinear equations that is solved to determine the coefficients of the Hermite expansion satisfying the Vlasov and Poisson equations. In this paper, we first show that this technique combines the fluid and kinetic approaches into one framework. Second, we present an adaptive strategy to increase and decrease the number of Hermite functions dynamically during the simulation. The technique is applied to the Landau damping and twostream instability test problems. Performance results show 21% and 47% saving of total simulation time in the Landau and twostream instability test cases, respectively.
 Authors:

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 Royal Institute of Technology, Stockholm (Sweden)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Centre for Mathematical Plasma Astrophysics (CmPA) (Belgium)
 Publication Date:
 Type:
 Accepted Manuscript
 Journal Name:
 Procedia Computer Science
 Additional Journal Information:
 Journal Volume: 51; Journal Issue: C; Journal ID: ISSN 18770509
 Publisher:
 Elsevier
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma simulations; spectral methods; fluidkinetic coupling
 OSTI Identifier:
 1201750
Vencels, Juris, Delzanno, Gian Luca, Johnson, Alec, Peng, Ivy Bo, Laure, Erwin, and Markidis, Stefano. Spectral solver for multiscale plasma physics simulations with dynamically adaptive number of moments. United States: N. p.,
Web. doi:10.1016/j.procs.2015.05.284.
Vencels, Juris, Delzanno, Gian Luca, Johnson, Alec, Peng, Ivy Bo, Laure, Erwin, & Markidis, Stefano. Spectral solver for multiscale plasma physics simulations with dynamically adaptive number of moments. United States. doi:10.1016/j.procs.2015.05.284.
Vencels, Juris, Delzanno, Gian Luca, Johnson, Alec, Peng, Ivy Bo, Laure, Erwin, and Markidis, Stefano. 2015.
"Spectral solver for multiscale plasma physics simulations with dynamically adaptive number of moments". United States.
doi:10.1016/j.procs.2015.05.284. https://www.osti.gov/servlets/purl/1201750.
@article{osti_1201750,
title = {Spectral solver for multiscale plasma physics simulations with dynamically adaptive number of moments},
author = {Vencels, Juris and Delzanno, Gian Luca and Johnson, Alec and Peng, Ivy Bo and Laure, Erwin and Markidis, Stefano},
abstractNote = {A spectral method for kinetic plasma simulations based on the expansion of the velocity distribution function in a variable number of Hermite polynomials is presented. The method is based on a set of nonlinear equations that is solved to determine the coefficients of the Hermite expansion satisfying the Vlasov and Poisson equations. In this paper, we first show that this technique combines the fluid and kinetic approaches into one framework. Second, we present an adaptive strategy to increase and decrease the number of Hermite functions dynamically during the simulation. The technique is applied to the Landau damping and twostream instability test problems. Performance results show 21% and 47% saving of total simulation time in the Landau and twostream instability test cases, respectively.},
doi = {10.1016/j.procs.2015.05.284},
journal = {Procedia Computer Science},
number = C,
volume = 51,
place = {United States},
year = {2015},
month = {6}
}