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Lagrangian intermittency based on an ensemble of Gaussian velocity time series

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Lukassen,  Laura
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Wilczek,  Michael
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Lukassen, L., & Wilczek, M. (2017). Lagrangian intermittency based on an ensemble of Gaussian velocity time series. In R. Örlü, A. Talamelli, M. Oberlack, & J. Peinke (Eds.), Progress in Turbulence VII: Proceedings of the iTi Conference in Turbulence 2016 (pp. 23-29). Berlin; Heidelberg; New York, N.Y.: Springer. doi:10.1007/978-3-319-57934-4_4.


Cite as: https://hdl.handle.net/21.11116/0000-0001-6269-B
Abstract
We show that Lagrangian intermittency in fully developed turbulence can be captured in terms of an ensemble of Gaussian velocity time series. This is achieved by letting the individual ensemble members vary with respect to their correlation function.We briefly discuss howthis can be analytically captured in terms of a suitably defined characteristic functional. Moreover, we present a numerical implementation of the ensemble showing a continuous change from Gaussian to non-Gaussian increment distributions for a decreasing time lag. In an outlook we show first results on the application to data from direct numerical simulation