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Ensemble-Based State Estimator for Aerodynamic Flows

da Silva, Andre F. C. and Colonius, Tim (2018) Ensemble-Based State Estimator for Aerodynamic Flows. AIAA Journal, 56 (7). pp. 2568-2578. ISSN 0001-1452. doi:10.2514/1.J056743.

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Regardless of the plant model, robust flow estimation based on limited measurements remains a major challenge in successful flow control applications. Aiming to combine the robustness of a high-dimensional representation of the dynamics with the cost efficiency of a low-order approximation of the state covariance matrix, a flow state estimator based on the ensemble Kalman filter is applied to two-dimensional flow past a cylinder and an airfoil at high angle of attack and low Reynolds number. For development purposes, the numerical algorithm is used as both the estimator and as a surrogate for the measurements. Estimation is successful using a reduced number of either pressure sensors on the surface of the body or sparsely placed velocity probes in the wake. Because the most relevant features of these flows are restricted to a low-dimensional manifold of the state space, asymptotic behavior of the estimator is shown to be achieved with a small ensemble size. The relative importance of each sensor location is evaluated by analyzing how they influence the estimated flowfield, and optimal locations for pressure sensors are determined. Covariance inflation is used to enhance the estimator performance in the presence of unmodeled freestream perturbations. A combination of parametric modeling and augmented state methodology is used to successfully estimate the forces on immersed bodies subjected to deterministic and random gusts.

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Colonius, Tim0000-0003-0326-3909
Additional Information:© 2018 by Andre Fernando de Castro da Silva. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Presented as Paper 2017-3483 at the 8th AIAA Theoretical Fluid Mechanics Conference, Denver, CO, 5–9 June 2017; received 25 September 2017; revision received 15 January 2018; accepted for publication 4 March 2018; published online 28 May 2018. This work has been supported in part by a grant from the U.S. Air Force Office of Scientific Research (FA9550-14-1-0328) with Douglas Smith as program manager. A. F. C. da Silva would like to thank the Ministry of Education of Brazil (Capes Foundation) for its support through a Science Without Borders scholarship (grant BEX 12966/13-4). The authors also acknowledge Andrew Stuart (California Institute of Technology), David Williams (Illinois Institute of Technology), and Jeff Eldredge (University of California, Los Angeles) for helpful discussions of this work.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-14-1-0328
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)BEX 12966/13-4
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AIAA Paper2017-3483
Issue or Number:7
Record Number:CaltechAUTHORS:20180711-155550672
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Official Citation:Andre F. C. da Silva and Tim Colonius. "Ensemble-Based State Estimator for Aerodynamic Flows", AIAA Journal, Vol. 56, No. 7 (2018), pp. 2568-2578.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87780
Deposited By: George Porter
Deposited On:11 Jul 2018 23:26
Last Modified:15 Nov 2021 20:51

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