%AFinn, Daniel%AKnepley, Matthew%APusztay, Joseph%AAdams, Mark%BJournal Name: Communications in Applied Mathematics and Computational Science; Journal Volume: 18; Journal Issue: 1
%D2023%IMathematical Sciences Publishers
%JJournal Name: Communications in Applied Mathematics and Computational Science; Journal Volume: 18; Journal Issue: 1
%K
%MOSTI ID: 10493301
%PMedium: X
%TA numerical study of Landau damping with PETSc-PIC
%XWe present a study of the standard plasma physics test, Landau damping, using the Particle-In-Cell
(PIC) algorithm. The Landau damping phenomenon consists of the damping of small oscillations in
plasmas without collisions. In the PIC method, a hybrid discretization is constructed with a grid of
finitely supported basis functions to represent the electric, magnetic and/or gravitational fields, and a
distribution of delta functions to represent the particle field. Approximations to the dispersion relation
are found to be inadequate in accurately calculating values for the electric field frequency and damping
rate when parameters of the physical system, such as the plasma frequency or thermal velocity, are
varied. We present a full derivation and numerical solution for the dispersion relation, and verify the
PETSC-PIC numerical solutions to the Vlasov-Poisson for a large range of wave numbers and charge
densities.
%0Journal Article