Recovery of fluid mechanical modes in unsteady separated flows

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2010
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Melbourne Authors
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Department of Mechanical Engineering
Institut PPRIME
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PhD thesis
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Kitsios, V. (2010). Recovery of fluid mechanical modes in unsteady separated flows. PhD thesis, Department of Mechanical Engineering, The University of Melbourne and Institut PPRIME, Universite de Poitiers.
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© 2010 Dr. Vassili Kitsios

Completed under a Cotutelle arrangement between the University of Melbourne and the Universite de Poitiers
Abstract
This study is concerned with the recovery of fluid mechanical modes that can be used to describe the physical properties of unsteady separated flows. The flow configuration of interest is a spanwise homogeneous NACA 0015 airfoil with leading edge laminar separation and turbulent recirculation. An in-depth understanding of the unsteady flow dynamics and fluid mechanical stability properties, can assist in the future development of more efficient separation control strategies. In order to provide a richer understanding of the physics, the flow fields are numerically generated, and characterised at various key Reynolds numbers leading up to the target turbulent case. Proper Orthogonal Decomposition modes are recovered to most efficiently represent the unsteady scales of motion, and linear stability modes are sought to identify how a perturbation will evolve in this unsteady environment. The generation of the Proper Orthogonal Decomposition modes can require very large amounts of data, and the current study presents a means of recovering these modes using parallel computation. To enable the stability analysis, a means of performing the calculation in steady two-dimensional flows of semi-complex geometry has been developed. The corrections required to perform the stability analysis in unsteady turbulent flows has also been identified by using a non-linear eddy viscosity model to close the triple decomposition stability equations. It is intended that the means of recovering these fluid mechanical modes can assist in the future development of reduced order models necessary for the control of unsteady separated flows.
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fluid mechanics, aerofoils, turbulence
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