Identification of equivalent topography in an open channel flow using Lagrangian data assimilation

Marc Honnorat (1) , Jerome Monnier (1) , Nicolas Riviere (2) , Etienne Huot (3) , François-Xavier Le Dimet (1)

1 MOISE - Modelling, Observations, Identification for Environmental Sciences
2 LMFA - Laboratoire de Mecanique des Fluides et d'Acoustique
3 Clime - Coupling environmental data and simulation models for software integration

We present a Lagrangian data assimilation experiment in an open channel flow above a broad-crested weir. The observations consist of trajectories of particles transported by the flow and extracted from a video film, in addition to classical water level measurements. However, the presence of vertical recirculations on both sides of the weir actually conducts to the identification of an equivalent topography corresponding to the lower limit of a surface jet. In addition, results on the identification of the Manning coefficient may allow to detect the presence of bottom recirculations.

Mots clés: Variational data assimilation; Lagrangian observations; Adjoint model; Hydraulics; Open channel; Equivalent topography

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Equations aux dérivées partielles [math.AP]

Marc Honnorat, Jerome Monnier, Nicolas Riviere, Etienne Huot, François-Xavier Le Dimet. Identification of equivalent topography in an open channel flow using Lagrangian data assimilation. Computing and Visualization in Science, 2010, 13 (3), pp.111-119. ⟨10.1007/s00791-009-0130-8⟩. ⟨hal-00380703⟩