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The Sensitivity of the Vortex Filament Method to Different Reconnection Models

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Abstract

We present a detailed analysis on the effect of using different algorithms to model the reconnection of vortices in quantum turbulence, using the thin-filament approach. We examine differences between four main algorithms for the case of turbulence driven by a counterflow. In calculating the velocity field we use both the local induction approximation (LIA) and the Biot-Savart integral. We show that results of Biot-Savart simulations are not sensitive to the particular reconnection method used, but LIA results are.

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Acknowledgements

We thank C.F. Barenghi for useful and stimulating discussions. The author acknowledges the comments of the anonymous referees, which significantly improved both the presentation and scope of the study.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, UK

    A. W. Baggaley

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  1. A. W. Baggaley
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Correspondence to A. W. Baggaley.

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Work supported by the Leverhulme Trust.

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Baggaley, A.W. The Sensitivity of the Vortex Filament Method to Different Reconnection Models. J Low Temp Phys 168, 18–30 (2012). https://doi.org/10.1007/s10909-012-0605-8

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