Serre equations in channels and rivers of arbitrary cross section - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Hydraulic Engineering Année : 2023

Serre equations in channels and rivers of arbitrary cross section

Résumé

A variational approach is used to derivate a set of Serre equations for fully nonlinear, dispersive waves in channels of arbitrary cross-section. A family of travelling waves is found, as well as the relation between amplitude and celerity of solitary waves. An upper bound is proposed for the solitary wave amplitude as a function of the Froude number in trapezoidal cross-sectional canals, showing good agreement with an existing theory. For waves of moderate amplitude, cnoidal waves result with a soliton limit; the latter waves and their properties (celerity, wave number) are written as functions of the channel bank slope and channel bank curvature. The theoretical findings are in agreement with well-established results of the literature, in particular with more recent Boussinesq-type theories. A validation is proposed against existing experimental data.
Fichier principal
Vignette du fichier
ASCE_paper_Generalised_Serre_equations.pdf (3.15 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04050777 , version 1 (29-03-2023)

Identifiants

  • HAL Id : hal-04050777 , version 1

Citer

Damien Violeau. Serre equations in channels and rivers of arbitrary cross section. Journal of Hydraulic Engineering, inPress. ⟨hal-04050777⟩

Collections

EDF
10 Consultations
22 Téléchargements

Partager

Gmail Facebook X LinkedIn More