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15:45
15 mins
Space-time reconstruction of finely resolved velocities of turbulent flows from low resolution measurements
Linh Van Nguyen, Jean-Philippe Laval, Pierre Chainais
Session: Vortex Dynamics 2
Session starts: Tuesday 25 August, 15:00
Presentation starts: 15:45
Room: Room B


Linh Van Nguyen (Univ Lille Nord de France, F-59000 Lille, France; Laboratoire de Mecanique de Lille (LML), CNRS-UMR 8107, F-59650 Villeneuve d'Ascq, France)
Jean-Philippe Laval (Laboratoire de Mecanique de Lille (LML), CNRS-UMR 8107, F-59650 Villeneuve d'Ascq, France)
Pierre Chainais (Ecole Centrale Lille, CRIStAL-CNRS UMR 9189, INRIA SequeL, F-59650 Villeneuve d'Ascq, France)


Abstract:
A model is developed to reconstruct the High-Temporal-High-Spatial (HTHS) resolution velocities of a wall bounded turbulent flow combining two sources of measured data: the Low-Temporal-High-Spatial (LTHS) and the High-Temporal-Low-Spatial (HTLS) resolution measurements. Direct Numerical Simulation (DNS) database of a turbulent channel flow is used. LTHS and HTLS are subsampled (in time or space) from the fully resolved data. A fusion model is constructed in Bayesian framework using a Maximum A Posteriori (MAP) estimation. By maximizing the posterior probability of desired HTHS conditional on LTHS and HTLS, the model estimates the most probable fields knowing the measurements. Reconstructed velocities are compared to the reference to qualify the fusion model and to those by conventional Linear Stochastic Estimation (LSE) and interpolation methods to demonstrate its robustness.