Alan Riquier

The theoretical description of (possibly breaking) water waves is one of the oldest and most challenging topic in fluid dynamics. The highly non-linear nature of the phenomenon, combined with the fluid's very low viscosity, severely limits the use of the full governing equations in both analytical and numerical studies. As a result, simplified models are commonly used in practice (Saint-Venant, KdV, etc.). They are most often based on Euler's equations and therefore neglect the effects of viscosity entirely. In this presentation, we shall describe a new finite element-based numerical strategy to approximate the solution of the free-surface Navier-Stokes equations with a possibly overhanging interface. We will compare it with the inviscid solution starting with the same irrotational initial condition. Doing so, we will be able to see in which cases using of inviscid models is well motivated and in which cases it is not.

Alan Riquier aura soutenu le 9 septembre une thèse sous la direction d'Emmanuel Dormy à l'ENS