skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Spectral solver for multi-scale plasma physics simulations with dynamically adaptive number of moments

Journal Article · · Procedia Computer Science
 [1];  [2];  [3];  [1];  [1];  [1]
  1. Royal Institute of Technology, Stockholm (Sweden)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Centre for Mathematical Plasma Astrophysics (CmPA) (Belgium)

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 non-linear 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 two-stream instability test problems. Performance results show 21% and 47% saving of total simulation time in the Landau and two-stream instability test cases, respectively.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
OSTI ID:
1201750
Journal Information:
Procedia Computer Science, Vol. 51, Issue C; ISSN 1877-0509
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

References (12)

Multi-scale simulations of plasma with iPIC3D journal March 2010
The Fluid-Kinetic Particle-in-Cell method for plasma simulations journal August 2014
Two-way coupling of a global Hall magnetohydrodynamics model with a local implicit particle-in-cell model journal July 2014
The energy conserving particle-in-cell method journal August 2011
Energetic particles in magnetotail reconnection journal December 2014
On the kinetic theory of rarefied gases journal December 1949
Vlasov Simulations Using Velocity-Scaled Hermite Representations journal August 1998
Multi-dimensional, fully-implicit, spectral method for the Vlasov–Maxwell equations with exact conservation laws in discrete form journal November 2015
Spectral velocity discretizations for the Vlasov-Maxwell equations journal January 1996
Plasma Oscillations with Diffusion in Velocity Space journal December 1958
Jacobian-free Newton–Krylov methods: a survey of approaches and applications journal January 2004
On the velocity space discretization for the Vlasov-Poisson system: comparison between Hermite spectral and Particle-in-Cell methods. Part 1: semi-implicit scheme preprint January 2013

Cited By (4)

The EPiGRAM Project: Preparing Parallel Programming Models for Exascale
  • Markidis, Stefano; Peng, Ivy Bo; Larsson Träff, Jesper
  • High Performance Computing: ISC High Performance 2016 International Workshops, ExaComm, E-MuCoCoS, HPC-IODC, IXPUG, IWOPH, P^3MA, VHPC, WOPSSS, Frankfurt, Germany, June 19–23, 2016, Revised Selected Papers https://doi.org/10.1007/978-3-319-46079-6_5
book January 2016
A Semi-Lagrangian Spectral Method for the Vlasov–Poisson System Based on Fourier, Legendre and Hermite Polynomials journal May 2019
Annotations on the virtual element method for second-order elliptic problems preprint January 2016
PolyPIC: the Polymorphic-Particle-in-Cell Method for Fluid-Kinetic Coupling text January 2018