Abstract
In our recent paper [1] (henceforth referred to as T99), an attempt was made to assess a mapping closure for turbulent velocity fields with non-Gaussian probability distribution functions (PDF’s). The a priori assumption of the Gaussian velocity statistics is not made in our mapping closure, which generalizes the results for the Burgers turbulence by Kraichnan [2] and Gotoh and Kraichnan [3]. Our results show that further generalization is required to reproduce the sub-Gaussian PDF (its tails fall below the Gaussian distribution) observed in the direct numerical simulation (DNS) of the Burgers equation. It is indispensable to investigate the properties related to the sub-Gaussian PDF in order to get a clue of such generalization.
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References
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Takaoka, M. (2001). Mapping Closure for Non-Gaussian Velocity Fields. In: Kambe, T., Nakano, T., Miyauchi, T. (eds) IUTAM Symposium on Geometry and Statistics of Turbulence. Fluid Mechanics and Its Applications, vol 59. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9638-1_30
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DOI: https://doi.org/10.1007/978-94-015-9638-1_30
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