Maximum entropy modelling and Bayesian inference in turbulent fluid mechanics.

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Fluid turbulence, characterised by fluctuating properties such as velocity and density, remains one of the great unsolved problems of science, due to the difficulty of calculating the Reynolds stresses created by the turbulence. This project will bring a new technique, the maximum entropy method of Jaynes, to this challenge, for the formulation and closure of theoretical and reduced-order numerical models of turbulent flows. Several well-characterised case study flows, of importance to human society, will be examined. Turbulent flow models will also be constructed by maximum-entropy and Bayesian methods directly from experimental data. The project will substantially enhance our ability to predict the behaviour of turbulent flows.