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- W2963942598 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." @default.
- W2963942598 created "2019-07-30" @default.
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- W2963942598 date "2017-08-01" @default.
- W2963942598 modified "2023-10-14" @default.
- W2963942598 title "Fast and spectrally accurate evaluation of gyroaverages in non-periodic gyrokinetic-Poisson simulations" @default.
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- W2963942598 doi "https://doi.org/10.1017/s0022377817000599" @default.
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