Nonlinear free surface motions close to a vertical wall. Influence of a local varying bathymetry

Yves-Marie Scolan (1) , Olivier Kimmoun (1, 2) , Hubert Branger (2) , Fabien Remy (1)

1 ECM - École Centrale de Marseille
2 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre

Nonlinear free surface motions are simulated close to a vertical wall. We study the influence of a local varying bathymetry. We use conformal mapping with use of the use of a desingularized Integral Equation. Here we focused on a mild slope for which experimental data are available. An identification procedure is performed since we solve the nonlinear free surface equations starting from a given potential energy, and not by modelling a real wave tank equipped with a wavemaker. The comparisons offer good confidence into the present approach. It also demonstrates that the model is reliable enough to predict the initial data to study the impact of the wave on the vertical wall.

Mots clés: breaking wave; vertical wall; integral equation; sloshing

Domaines: Mécanique des fluides [physics.class-ph]; Océan, Atmosphère; Mécanique des fluides [physics.class-ph]

Yves-Marie Scolan, Olivier Kimmoun, Hubert Branger, Fabien Remy. Nonlinear free surface motions close to a vertical wall. Influence of a local varying bathymetry. 22th Water waves and floatting bodies symposium, Apr 2007, Plitvice, Croatia. pp.1-4. ⟨hal-00193012⟩