Séminaire MACS (Modélisation, Analyse et Calcul Scientifique). Commun ICJ & UMPA.

A new mathematical model for Tsunamis with precise time arrival predictions

par Khawla Msheik

Europe/Paris
Fokko Du Cloux (Bâtiment Braconnier, La Doua)

Fokko Du Cloux

Bâtiment Braconnier, La Doua

Description

We propose in this work a new system of equations modeling Tsunamis. It is a coupled system accounting for both water compressibility and viscoelasticity of the earth. Adding these latter physical effects is responsible for the closest-to-reality time arrival predictions (among existing models), capturing the negative peak before the main wave hump, and the exhibition of the negative dispersion phenomena. This comes in remarkable agreement with previous experiments and studies on the topic. The system is also delivered in a relatively simple mathematical structure of equations that is easy to solve numerically.