• Open Access

Scalable spectral solver in Galilean coordinates for eliminating the numerical Cherenkov instability in particle-in-cell simulations of streaming plasmas

Manuel Kirchen, Remi Lehe, Soeren Jalas, Olga Shapoval, Jean-Luc Vay, and Andreas R. Maier
Phys. Rev. E 102, 013202 – Published 7 July 2020

Abstract

Discretizing Maxwell's equations in Galilean (comoving) coordinates allows the derivation of a pseudospectral solver that eliminates the numerical Cherenkov instability for electromagnetic particle-in-cell simulations of relativistic plasmas flowing at a uniform velocity. Here we generalize this solver by incorporating spatial derivatives of arbitrary order, thereby enabling efficient parallelization by domain decomposition. This allows scaling of the algorithm to many distributed compute units. We derive the numerical dispersion relation of the algorithm and present a comprehensive theoretical stability analysis. The method is applied to simulations of plasma acceleration in a Lorentz-boosted frame of reference.

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  • Received 27 March 2020
  • Accepted 12 June 2020

DOI:https://doi.org/10.1103/PhysRevE.102.013202

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Accelerators & BeamsPlasma Physics

Authors & Affiliations

Manuel Kirchen1,*, Remi Lehe2, Soeren Jalas1, Olga Shapoval2, Jean-Luc Vay2, and Andreas R. Maier1,3

  • 1Center for Free-Electron Laser Science & Department of Physics, University of Hamburg, 22607 Hamburg, Germany
  • 2Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
  • 3Deutsches Elektronen-Synchrotron DESY, 22607 Hamburg, Germany

  • *manuel.kirchen@desy.de

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Vol. 102, Iss. 1 — July 2020

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