Statistical properties of velocity increments in two-dimensional turbulence

Vosskuhle, Michel; Kamps, Oliver; Wilczek, Michael; Friedrich, Rudolf

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Statistical properties of velocity increments in two-dimensional turbulence

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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

Vosskuhle, M., Kamps, O., Wilczek, M., & Friedrich, R. (2010). Statistical properties of velocity increments in two-dimensional turbulence. In J. Peinke, M. Oberlack, & A. Talamelli (Eds.), Progress in Turbulence III. Berlin: Springer-Verlag.

Cite as: https://hdl.handle.net/21.11116/0000-0003-E0B0-8

Abstract

The multiple-point probability density f(v(1), r(1); v(2), r(2); ...
v(N), r(N)) of velocity increments vi at different length scales r(1) is
investigated in a direct numerical simulation of two-dimensional
turbulence. It has been shown for experimental data of three-dimensional
turbulence, that this probability density can be represented by
conditional probability densities in form of a Markov chain {[}1]. We
have extended this analysis to the case of two-dimensional forced
turbulence in the inverse cascade regime.