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
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Title | 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 |
Publication Type | Journal Article |
VLF Publication Number | 2011-11 |
Year of Publication | 2011 |
Author(s) | Foust, FR, Bell TF, Spasojevic M, Inan US |
Journal | Physics of Plasmas |
Volume | 18 |
Pages | 2111 |
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. |
doi | 10.1063/1.3602123 |