Discontinuous Galerkin particle-in-cell simulation of longitudinal plasma wave damping and comparison to the Landau approximation and the exact solution of the dispersion relation

Abstract

We present results showing the measured Landau damping rate using a high-order discontinuous Galerkin particle-in-cell (DG-PIC) [G. B. Jacobs and J. S. Hesthaven, J. Comput. Phys. 214, 96 (2006)] method. We show that typical damping rates measured in particle-in-cell (PIC) simulations can differ significantly from the linearized Landau damping coefficient and propose a simple numerical method to solve the plasma dispersion function exactly for moderate to high damping rates. Simulation results show a high degree of agreement between the high-order PIC results and this calculated theoretical damping rate.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jun 01, 2011
Source ID
10.1063/1.3602123

Entities

People

  • F. R. Foust
  • M. Spasojevic
  • T. F. Bell
  • U. S. Inan

Organizations

  • KoƧ University
  • Office of Naval Research
  • Stanford University

Tags

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematics or Statistics
  • Plasma Physics / Magnetohydrodynamics