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Fast and spectrally accurate evaluation of gyroaverages in non-periodic gyrokinetic-Poisson simulations

Part of: Focus on Fusion

Published online by Cambridge University Press:  22 August 2017

J. Guadagni  and
A. J. Cerfon
J. Guadagni
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA
A. J. Cerfon*
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA
*
†Email address for correspondence: cerfon@cims.nyu.edu
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Abstract

We present a fast and spectrally accurate numerical scheme for the evaluation of the gyroaveraged electrostatic potential in non-periodic gyrokinetic-Poisson simulations. Our method relies on a reformulation of the gyrokinetic-Poisson system in which the gyroaverage in Poisson’s equation is computed for the compactly supported charge density instead of the non-periodic, non-compactly supported potential itself. We calculate this gyroaverage with a combination of two Fourier transforms and a Hankel transform, which has the near optimal run-time complexity $O(N_{\unicode[STIX]{x1D70C}}(P+\hat{P})\log (P+\hat{P}))$, where $P$ is the number of spatial grid points, $\hat{P}$ the number of grid points in Fourier space and $N_{\unicode[STIX]{x1D70C}}$ the number of grid points in velocity space. We present numerical examples illustrating the performance of our code and demonstrating geometric convergence of the error.

Keywords

intense particle beamsmagnetized plasmasplasma simulation
Type
Research Article
Information
Journal of Plasma Physics , Volume 83 , Issue 4 , August 2017 , 905830407
Copyright
© Cambridge University Press 2017 

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