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arXiv · 2311.09379

A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties

Philipp Krah·Xi-Yuan Yin·Julius Bergmann·Jean-Christophe Nave·Kai Schneider
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Abstract

We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow map is evolved numerically and exponential resolution in linear time is obtained. Global third-order convergence in space and time is shown and conservation properties are assessed. For benchmarking, we consider linear and nonlinear Landau damping and the two-stream instability. We compare the results with a Fourier pseudo-spectral method. The extreme fine-scale resolution features are illustrated showing the method's capabilities to efficiently treat filamentation in fusion plasma simulations.

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Philipp Krah, Xi-Yuan Yin, Julius Bergmann, Jean-Christophe Nave, Kai Schneider. 2023-11-15. A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties. https://doi.org/10.4208/cicp.oa-2024-0012

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