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Linear modelling of turbulent shear flow

Time: Thu 2020-06-11 10.30 - 11.30

Location: FLOW eSeminar (Zoom)

Participating: Peter Jordan (Université de Poitiers)

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Absrtact. Mean-flow-based linear modelling has proved useful for fluid-mechanics applications ranging from low-Reynolds-number, incompressible channel flow to high-Reynolds-number, compressible jets. The talk will address four recent developments. The first concerns an ambiguity associated with the fact that the mean flow is not a fixed point of the Navier-Stokes equations: we show that the characteristics of mean-flow-based linear operators may depend on the choice of dependent variables. The second part of the talk looks at how the resolvent framework can be crafted to explore flow physics associated with a selected observable (we use the jet-noise example). In the two final parts of the talk, we discuss recent studies in which linear models are used for state estimation and control.