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1 VisAGeS - Vision, Action et Gestion d-informations en Santé INSERM - Institut National de la Santé et de la Recherche Médicale : U746, Inria Rennes – Bretagne Atlantique , IRISA-D5 - SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE 2 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences IRSTEA - Institut national de recherche en sciences et technologies pour l-environnement et l-agriculture, Inria Rennes – Bretagne Atlantique 3 Irstea

Abstract : We investigate the combined use of a Kinect depth sensor and of a stochastic data assimilation method to recover free-surface flows. More specifically, we use a Weighted ensemble Kalman filter method to reconstruct the complete state of free-surface flows from a sequence of depth images only. This particle filter accounts for model and observations errors. This data assimilation scheme is enhanced with the use of two observations instead of one classically. We evaluate the developed approach on two numerical test cases: a collapse of a water column as a toy-example and a flow in an suddenly expanding flume as a more realistic flow. The robustness of the method to depth data errors and also to initial and inflow conditions is considered. We illustrate the interest of using two observations instead of one observation into the correction step, especially for unknown inflow boundary conditions. Then, the performance of the Kinect sensor to capture temporal sequences of depth observations is investigated. Finally, the efficiency of the algorithm is qualified for a wave in a real rectangular flat bottom tank. It is shown that for basic initial conditions, the particle filter rapidly and remarkably reconstructs velocity and height of the free surface flow based on noisy measurements of the elevation alone.

Keywords : Free-surface flow Particle filter Ensemble Kalman filter Data-assimilation Shallow-water equations Depth sensor





Autor: Benoit Combès - Dominique Heitz - Anthony Guibert - Etienne Mémin -

Fuente: https://hal.archives-ouvertes.fr/



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