Journal cover Journal topic
Hydrology and Earth System Sciences An interactive open-access journal of the European Geosciences Union
Journal topic

Journal metrics

IF value: 5.153
IF5.153
IF 5-year value: 5.460
IF 5-year
5.460
CiteScore value: 7.8
CiteScore
7.8
SNIP value: 1.623
SNIP1.623
IPP value: 4.91
IPP4.91
SJR value: 2.092
SJR2.092
Scimago H <br class='widget-line-break'>index value: 123
Scimago H
index
123
h5-index value: 65
h5-index65
Volume 4, issue 2
Hydrol. Earth Syst. Sci., 4, 251–260, 2000
https://doi.org/10.5194/hess-4-251-2000
© Author(s) 2000. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: Process Representation in hydrological Models

Hydrol. Earth Syst. Sci., 4, 251–260, 2000
https://doi.org/10.5194/hess-4-251-2000
© Author(s) 2000. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  30 Jun 2000

30 Jun 2000

Approximation zones of the Saint-Venant equations f flood routing with overbank flow

R. Moussa1 and C. Bocquillon2 R. Moussa and C. Bocquillon
  • 1Institut National de la Recherche Agronomique, U.M.R. Science du Sol, 2 Place Pierre Viala, 34060 Montpellier Cedex 1, France
  • 2Laboratoire Géofluides Bassins Eau, Université Montpellier II, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France
  • e-mail for corresponding authors: moussa@ensam.inra.fr

Abstract. The classification of river waves as gravity, diffusion or kinematic waves, corresponds to different forms of the momentum equation in the Saint-Venant system. This paper aims to define approximation zones of the Saint-Venant equations for flood routing in natural channels with overbank flow in the flooded area. Using linear perturbation theory, the different terms in the Saint-equations were analysed as a function of the balance between friction and inertia. Then, using non-dimensionalised variables, flood waves were expressed as a function of three parameters: the Froude number of the steady uniform flow, a dimensionless wave, number of the unsteady component of the motion and the ratio between the flooded area zone width and the main channel width. Finally, different theoretical cases, corresponding to different flooded area zone widths were analysed and compared. Results show that, when the width of the flooded area increases, the domain of application of the diffusive wave and the inematic wave models is restricted.

Keywords: Saint-Venant equations; river waves; overbank flow

Publications Copernicus
Download
Citation