Towards analysis and prediction of rare events in turbulent flows

Peter Schmid
Imperial College
Mathematics

Turbulent shear flows are characterized by an interplay of many scales that describe persistent, quasi-invariant motion as well as violent, intermittent events. A data-driven computational framework, based on the decomposition of an embedded phase-space trajectory together with a community-identification step, will be introduced to properly describe and analyze these slow-fast dynamics. The framework combines elements of dynamic system theory with network analysis, and is applied to data-sequences from a reduced model of the turbulent self-sustaining process (SSP) in wall-bounded shear flows. Its effectiveness in detecting and quantifying structures and in laying the foundation for their targeted manipulation will be assessed.

Back to Operator Theoretic Methods in Dynamic Data Analysis and Control