Projective multiscale time-integration for electrostatic particle-in-cell methods

Cazeaux, P.; Hesthaven, J. S.

doi:10.1016/j.cpc.2018.10.012

Title: Projective multiscale time-integration for electrostatic particle-in-cell methods

Journal Article · 19 October 2018 · Computer Physics Communications

DOI: https://doi.org/10.1016/j.cpc.2018.10.012 · OSTI ID:1611079

^[1]; Hesthaven, J. S. ^[2]

Univ. of Kansas, Lawrence, KS (United States); DOE/OSTI
Ecole Polytechnique Federale Lausanne (Switzerland)

The simulation of problems in kinetic plasma physics is often challenging due to strongly coupled phenomena across multiple scales. In this work, we propose a wavelet-based coarse-grained numerical scheme, based on the framework of Equation-Free Projective Integration, for a kinetic plasma system modeled by the Vlasov–Poisson equations. A kinetic particle-in-cell (PIC) code is used to simulate the meso scale dynamics for short time intervals. This allows the extrapolation over long time-steps of the behavior of a coarse wavelet-based discretization of the system. To validate the approach and the underlying concepts, we perform two 1D1V numerical experiments: nonlinear propagation and steepening of an ion wave, and the expansion of a plasma slab in vacuum. The direct comparisons to resolved PIC simulations show good agreement. We show that the speedup of the projective integration scheme over the full particle scheme scales linearly with the system size, demonstrating efficiency while taking into account fully kinetic, non-Maxwellian effects. This suggests that the approach is potentially interesting for kinetic plasma problems with a large separation of scales.

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Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: SC0008553

OSTI ID:: 1611079

Journal Information:: Computer Physics Communications, Journal Name: Computer Physics Communications Vol. 236; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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