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arXiv · 2004.12010

The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations

Oleksandr Koshkarov·Gianmarco Manzini·Gian Luca Delzanno·Cecilia Pagliantini·Vadim Roytershteyn
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Abstract

We discuss the development, analysis, implementation, and numerical assessment of a spectral method for the numerical simulation of the three-dimensional Vlasov-Maxwell equations. The method is based on a spectral expansion of the velocity space with the asymmetrically weighted Hermite functions. The resulting system of time-dependent nonlinear equations is discretized by the discontinuous Galerkin (DG) method in space and by the method of lines for the time integration using explicit Runge-Kutta integrators. The resulting code, called Spectral Plasma Solver (SPS-DG), is successfully applied to standard plasma physics benchmarks to demonstrate its accuracy, robustness, and parallel scalability.

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Oleksandr Koshkarov, Gianmarco Manzini, Gian Luca Delzanno, Cecilia Pagliantini, Vadim Roytershteyn. 2020-04-24. The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations. https://doi.org/10.1016/j.cpc.2021.107866

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