TIME: 2:00 PM

LOCATION: GMCS 206D

SPEAKER: Christos E. Papoutsellis, École Nationale des Ponts et Chaussées

ABSTRACT: In this talk, I will present the numerical solution of the Serre–Green–Naghdi (SGN) model for the propagation of surface gravity waves. I will begin with a brief overview of the mathematical formulation of the water-wave problem and the asymptotic derivation of the SGN equations. The SGN model is a nonlinear system of PDEs that approximates the full water-wave problem in the shallow-water regime. It can be viewed as an extension of the Saint-Venant equations, incorporating weakly dispersive effects. From a numerical perspective, this leads to the solution of an elliptic system coupled to the evolution equations. I will then describe the implementation of a mimetic-difference discretization for the initial-value problem, combined with classical Runge–Kutta time integration. Finally, I will present convergence results based on analytical cnoidal and solitary-wave solutions, together with validations against experimental data.

HOST: Jose Castillo