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A Kalman filter adapted to the estimation of mean gradients in the large-eddy simulation of unsteady turbulent flows

Boudet, Jérôme and Lévêque, Emmanuel and Borgnat, Pierre and Cahuzac, Adrien and Jacob, Marc C. A Kalman filter adapted to the estimation of mean gradients in the large-eddy simulation of unsteady turbulent flows. (2016) Computers and Fluids, 127. 65-77. ISSN 0045-7930

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Official URL: https://doi.org/10.1016/j.compfluid.2015.12.006

Abstract

A computationally-efficient method based on Kalman filtering is introduced to capture “on the fly” the low-frequency (or very large-scale) patterns of a turbulent flow in a large-eddy simulation (LES). This method may be viewed as an adaptive exponential smoothing in time with a varying cut-off frequency that adjusts itself automatically to the local rate of turbulence of the simulated flow. It formulates as a recursive algorithm, which requires only few arithmetic operations per time step and has very low memory usage. In practice, this smoothing algorithm is used in LES to evaluate the low-frequency component of the rate of strain, and implement a shear-improved variant of the Smagrosinky’s subgrid-scale viscosity. Such approach is primarily devoted to the simulation of turbulent flows that develop large-scale unsteadiness associated with strong shear variations. As a severe test case, the flow past a circular cylinder at Reynolds number (in the subcritical turbulent regime) is examined in details. Aerodynamic and aeroacoustic features including spectral analysis of the velocity and the far-field pressure are found in good agreement with various experimental data. The Kalman filter suitably captures the pulsating behavior of the flow and provides meaningful information about the large-scale dynamics. Finally, the robustness of the method is assessed by varying the parameters entering in the calibration of the Kalman filter.

Item Type:Article
HAL Id:hal-01393342
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole Normale Supérieure de Lyon - ENS de Lyon (FRANCE)
Other partners > Institut National des Sciences Appliquées de Lyon - INSA (FRANCE)
Other partners > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Other partners > Ecole Centrale de Lyon (FRANCE)
Laboratory name:
Funders:
European Community - Grand Equipement National de Calcul Intensif (GENCI) - Agence Nationale pour la Recherche (ANR) - Région Rhône - Alpes
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Deposited By: Marc C. JACOB
Deposited On:09 Jul 2019 12:50

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