Dynamics and control of bluff-body-wake-structure interaction and practical applications

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Spatio-temporal symmetry, ubiquitous in physical systems, can be used to derive highly simplified models which, however, can model the complex system dynamics of interest to researchers. The equivariant bifurcation theory has enabled a systematic study of the range of dynamics, transitions and constraints induced by the presence of symmetry. A dynamical analysis of the amplitude equations has yielded important and new results. The sequence of bifurcations of the forced Karman wake have been related to the dynamics of a large class of physical systemes having SO(2) Symmetry. The novelty of the proposed work is the exploitation of the natural geometry (spatio-temporal symmetry) common many complex systems such as sheared flows, chemical reactions, etc. to derive simplified flow control strategies or laws.