Turbulence modeling by time-series methods

Vincenzo Ferrazzano; Claudia Klüppelberg

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arXiv · 1205.6614

Turbulence modeling by time-series methods

Vincenzo Ferrazzano·Claudia Klüppelberg

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Abstract

A general model for stationary, time-wise turbulent velocity is presented and discussed. This approach, inspired by modeling ideas of Barndorff-Nielsen and Schimgel, is coherent with the K41 hypothesis of local isotropy, and it allows us to separate second-order statistics from higher order ones. The model can be motivated by Taylor's hypothesis and a relation between time and spatial spectra. Second order statistics are used to separate the deterministic kernel function and the weakly stationary driving noise. A non-parametric estimation method for the turbulence intermittency is suggested.

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Vincenzo Ferrazzano, Claudia Klüppelberg. 2012-05-30. Turbulence modeling by time-series methods. https://arxiv.org/abs/1205.6614

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