Skip to Main content Skip to Navigation
Journal articles

2D Versus 1D Models for Shallow Water Equations

Abstract : In this paper we present a general framework to construct 1D width averaged models when the flow is constrained-e.g. by topography-to be almost 1D. We start from two dimensional shallow water equations, perform an asymptotic expansion of the fluid elevation and velocity field in the spirit of wave diffusive equations and establish a set of 1D equations made of a mass, momentum and energy equations which are close to the one usually used in hydraulic engineering. We show that in some special cases, like the U-shaped river bed, that our set of equations reduces to the classical 1d shallow water equations. Out of these configurations, there is an O (1) deviation of our model from the classical one.
Document type :
Journal articles
Complete list of metadata

Cited literature [9 references]  Display  Hide  Download
Contributor : Pascal Noble <>
Submitted on : Sunday, September 9, 2018 - 11:26:14 AM
Last modification on : Friday, June 11, 2021 - 4:10:01 PM
Long-term archiving on: : Monday, December 10, 2018 - 12:39:13 PM


Publisher files allowed on an open archive



Jean-Paul Vila, Florent Chazel, Pascal Noble. 2D Versus 1D Models for Shallow Water Equations. Procedia IUTAM, Elsevier, 2017, 20, pp.167 - 174. ⟨10.1016/j.piutam.2017.03.023⟩. ⟨hal-01870744⟩



Record views


Files downloads