Generalized mean-field model of oscillatory flow using continuous mode interpolation
ORAL
Abstract
A `least order' Galerkin model is proposed for the transient and post-transient cylinder wake targeting model-based flow control. The underlying Galerkin approximation comprises two mean-flow dependent modes representing the developing von K\'arm\'an vortex street and the shift mode resolving mean-flow changes. A continuous mode interpolation between global stability eigenmodes and POD modes enables a uniformly accurate flow prediction during the whole transient from steady to periodic state. Additionally, the shift mode and the interpolated oscillatory modes are derived from first principles employing a generalized mean-field theory.
*We acknowledge support of the Deutsche Forschungsgemeinschaft (DFG) under Grants NO 258/1-1,2-3 and via the Collaborative Research Center (Sfb 557) ```Control of complex turbulent shear flows'' as well as US AFOSR and US NSF.
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