A framework for closed-loop flow control using the parabolized stability equations

Kenzo Sasaki (1) , André V. Cavalieri (1) , Flavio J. Silvestre (1) , Peter Jordan (2) , Gilles Tissot (3, 4, 5) , Damien Biau (6)

1 ITA - Instituto Tecnológico de Aeronáutica [São José dos Campos]
2 2AT - Acoustique, Aérodynamique, Turbulence [Institut Pprime]
3 IRMAR - Institut de Recherche Mathématique de Rennes
4 LAUM - Laboratoire d'Acoustique de l'Université du Mans
5 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
6 DynFluid - Laboratoire de Dynamique des Fluides

We develop a reduced-order-model framework using the parabolized stability equations and identification techniques for the closed-loop control of unsteady fluctuations along fluidic systems. These models had been successfully applied to a turbulent jet as estimation techniques and to an incompressible shear-layer for the development of closed-loop control laws. Through this paper, we propose a further investigation of the PSE-based transfer functions, exploring its flexibility to educe different control schemes and to determine the most effective sensor/actuator positions. Emphasis is be given to the feedforward and feedback configurations for flow control, and differences are understood in terms of causality. A study of the robustness to uncertainties in Reynolds and mean flow velocity, along with external perturbations is also presented. These topics allow deeper insight into the active closed-loop flow control problem and therefore may lead to more effective schemes, particularly on what concerns the experimental implementation of closed-loop control.

Domaines: Physique [physics]

Kenzo Sasaki, André V. Cavalieri, Flavio J. Silvestre, Peter Jordan, Gilles Tissot, et al.. A framework for closed-loop flow control using the parabolized stability equations. 23rd AIAA/CEAS Aeroacoustics Conference, 2017, Denver, United States. pp.1-11, ⟨10.2514/6.2017-3003⟩. ⟨hal-02443472⟩