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Open-loop control of cavity noise using Proper Orthogonal Decomposition reduced-order model

Nagarajan, Kaushik Kumar and Singha, Sintu and Cordier, Laurent and Airiau, Christophe Open-loop control of cavity noise using Proper Orthogonal Decomposition reduced-order model. (2018) Computers and Fluids, 160. 1-13. ISSN 0045-7930

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Official URL: https://doi.org/10.1016/j.compfluid.2017.10.019

Abstract

Flow over open cavities is mainly governed by a feedback mechanism due to the interaction of shear layer instabilities and acoustic forcing propagating upstream in the cavity. This phenomenon is known to lead to resonant tones that can reach 180 dB in the far-field and may cause structural fatigue issues and annoying noise emission. This paper concerns the use of optimal control theory for reducing the noise level emitted by the cavity. Boundary control is introduced at the cavity upstream corner as a normal velocity component. Model-based optimal control of cavity noise involves multiple simulations of the compressible Navier–Stokes equations and its adjoint, which makes it a computationally expensive optimization approach. To reduce the computational costs, we propose to use a reduced-order model (ROM) based on Proper Orthogonal Decomposition (POD) as a surrogate model of the forward simulation. For that, a control input separation method is first used to introduce explicitly the control effect in the model. Then, an accurate and robust POD ROM is derived by using an optimization-based identification procedure and generalized POD modes, respectively. Since the POD modes describe only velocities and speed of sound, we minimize a noise-related cost functional characteristic of the total enthalpy unsteadiness. After optimizing the control function with the reduced-order model, we verify the optimality of the solution using the original, high-fidelity model. A maximum noise reduction of 4.7 dB is reached in the cavity and up to 16 dB at the far-field.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The original PDF of the article can be found at https://www.sciencedirect.com/science/article/pii/S0045793017303845
HAL Id:hal-01813487
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole Nationale Supérieure de Mécanique et d'Aérotechnique - ENSMA (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Université de Poitiers (FRANCE)
Other partners > CSIR-National Aerospace Laboratories - NAL (INDIA)
Laboratory name:
Funders:
Agence Nationale de Recherche - ONERA/Carnot - Marie Curie european project
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Deposited By: Christophe AIRIAU
Deposited On:12 Jun 2018 12:03

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