Mathematics – Analysis of PDEs
Scientific paper
2007-12-19
European Journal of Mechanics / B Fluids 28 (2009), pp. 234-252
Mathematics
Analysis of PDEs
Scientific paper
10.1016/j.euromechflu.2008.10.00
In this paper we focus on the water waves problem for uneven bottoms on a two-dimensionnal domain. Starting from the symmetric Boussinesq systems derived in [Chazel, Influence of topography on long water waves, 2007], we recover the uncoupled Korteweg-de Vries (KdV) approximation justified by Schneider and Wayne for flat bottoms, and by Iguchi in the context of bottoms tending to zero at infinity at a substantial rate. The goal of this paper is to investigate the validity of this approximation for more general bathymetries. We exhibit two kinds of topography for which this approximation diverges from the Boussinesq solutions. A topographically modified KdV approximation is then proposed to deal with such bathymetries. Finally, all the models involved are numerically computed and compared.
No associations
LandOfFree
On the Korteweg-de Vries approximation for uneven bottoms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Korteweg-de Vries approximation for uneven bottoms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Korteweg-de Vries approximation for uneven bottoms will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-146958