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

Kirchen, Manuel; Lehe, Remi; Jalas, Soeren; Shapoval, Olga; Vay, Jean-Luc; Maier, Andreas R.

doi:10.1103/PhysRevE.102.013202

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

Journal Article · Tue Jul 07 00:00:00 EDT 2020 · Physical Review. E

DOI:https://doi.org/10.1103/PhysRevE.102.013202· OSTI ID:1637566

; Lehe, Remi; Jalas, Soeren; Shapoval, Olga; Vay, Jean-Luc;

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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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); Federal Ministry of Education and Research (BMBF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231; 05K19GUA

OSTI ID:: 1637566

Alternate ID(s):: OSTI ID: 1756341

Journal Information:: Physical Review. E, Journal Name: Physical Review. E Vol. 102 Journal Issue: 1; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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

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