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Seventh International Symposium on Turbulence and Shear Flow Phenomena
July, 28-31, 2011, Ottawa Convention Centre, Ottawa, Canada

DOI: 10.1615/TSFP7

A STOCHASTIC LOW-ORDER MODELLING APPROACH FOR TURBULENT SHEAR FLOWS

pages 1-6
DOI: 10.1615/TSFP7.1710
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ABSTRACT

A reduced-order modelling, based on the POD-Galerkin approach, is developped in a probabilistic framework in order to build robust low-dimensional dynamical systems able to reproduce the dominant long-term dynamics of turbulent flows. It combines a statistical inference procedure to determine joined probability distribution functions of the dynamical system coefficients and a Monte-Carlo approach to foresee its most probable time evolution. The method is shown to reproduce correctly the main dynamical features of a turbulent mixing layer.

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