Reduced-order modeling of the fluidic pinball

Abstract : The fluidic pinball is a geometrically simple flow configuration with three rotating cylinders on the vertex of an equilateral triangle. Yet, it remains physically rich enough to host a range of interacting frequencies and to allow testing of control laws within minutes on a laptop. The system has multiple inputs (the three cylinders can independently rotate around their axis) and multiple outputs (downstream velocity sensors). Investigating the natural flow dynamics, we found that the first unsteady transition undergone by the wake flow, when increasing the Reynolds number, is a Hopf bifurcation leading to the usual time-periodic vortex shedding phenomenon, typical of cylinder wake flows, in which the mean flow field preserves axial symmetry. We extract dynamically consistent modes from the flow data in order to built a reduced-order model (ROM) of this flow regime. We show that the main dynamical features of the primary Hopf bifurcation can be described by a non-trivial lowest-order model made of three degrees of freedom.
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https://hal.archives-ouvertes.fr/hal-01856261
Contributor : Limsi Publications <>
Submitted on : Friday, August 10, 2018 - 1:34:09 PM
Last modification on : Monday, February 10, 2020 - 6:14:08 PM

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  • HAL Id : hal-01856261, version 1

Citation

Nan Deng, Luc Pastur, Marek Morzyński, Bernd R. Noack. Reduced-order modeling of the fluidic pinball. International Conference on Chaotic Modeling, Simulation and Applications , Chaos, Jun 2018, Rome, Italy. ⟨hal-01856261⟩

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