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Pré-Publication, Document De Travail Année : 2020

Adaptive numerical modelling of tsunami wave generation and propagation with FreeFem++

Résumé

A simplified nonlinear dispersive system of BBM-type, initially derived by D. Mitsotakis, is employed here in order to model the generation and propagation of surface water waves over variable bottom. The simplification consists in applying the so-called Boussinesq approximation. Using the finite element method and the FreeFem++ software, we solve numerically this system for three different complexities for the bathymetry function: a flat bottom case, a variable bottom in space, and a variable bottom both in space and in time. The last case is illustrated with the Java 2006 tsunami event. This article is designed rather as a tutorial paper even if it contains the description of completely new adaptation techniques.
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Dates et versions

hal-02912526 , version 1 (06-08-2020)

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Paternité - Pas d'utilisation commerciale - Partage selon les Conditions Initiales

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Georges Sadaka, Denys Dutykh. Adaptive numerical modelling of tsunami wave generation and propagation with FreeFem++. 2020. ⟨hal-02912526⟩
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