An interpolating particle method for the Vlasov-Poisson equation

Rostislav-Paul Wilhelm; Matthias Kirchhart

doi:10.1016/j.jcp.2022.111720

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arXiv · 2202.11078

An interpolating particle method for the Vlasov-Poisson equation

Rostislav-Paul Wilhelm·Matthias Kirchhart

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Abstract

In this paper we present a novel particle method for the Vlasov--Poisson equation. Unlike in conventional particle methods, the particles are not interpreted as point charges, but as point values of the distribution function. In between the particles, the distribution function is reconstructed using mesh-free interpolation. Our numerical experiments confirm that this approach results in significantly increased accuracy and noise reduction. At the same time, many benefits of the conventional schemes are preserved.

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Rostislav-Paul Wilhelm, Matthias Kirchhart. 2022-08-16. An interpolating particle method for the Vlasov-Poisson equation. https://doi.org/10.1016/j.jcp.2022.111720

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