Boundary data reconstruction for open channel networks using modal decomposition

Q. Wu (1) , X. Litrico (2) , Aurélie Bayen-Poisson (1)

1 Center for Forestry
2 UMR G-EAU - Gestion de l'Eau, Acteurs, Usages

This article presents a method to estimate flow variables for an open channel network governed by first-order, linear hyperbolic partial differential equations and subject to periodic forcing. The selected external boundary conditions of the system are defined as the model input; the flow properties at internal locations, as well as the other external boundary conditions, are defined as the output. A spatially-dependent transfer matrix in the frequency domain is constructed to relate the model input and output. A data reconciliation technique efficiently eliminates the error in the measured data and results in a reconciliated external boundary conditions; subsequently, the flow properties at any location in the system can be accurately evaluated. The applicability and effectiveness of the method is substantiated with a case study of the river flow subject to tidal forcing in the Sacramento-San Joaquin Delta, California. It is shown that the proposed method gives an accurate estimation of the flow properties at any intermediate location within the channel network.

Mots clés: ECOULEMENT A SURFACE LIBRE; METHODE; HYDRAULIQUE; CONTROLE DE FLUX

Domaines: Hydrologie; Milieux et Changements globaux; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Sciences de l'environnement

Q. Wu, X. Litrico, Aurélie Bayen-Poisson. Boundary data reconstruction for open channel networks using modal decomposition. 47th IEEE Conference on Decision and Control, Dec 2008, Cancun, Mexico. p. 3903 - p. 3910, ⟨10.1109/CDC.2008.4739010⟩. ⟨hal-00468555⟩