Generation and propagation of a Tsunami wave : a new mesh adaptation technique

TL;DR

This paper introduces a new mesh adaptation technique for simulating tsunami wave propagation using a simplified Boussinesq model, applied to real-world bathymetric data near Java island.

Contribution

It presents a novel mesh adaptation method integrated with FreeFem++ for more accurate tsunami modeling on complex bathymetric terrains.

Findings

Effective mesh adaptation improves tsunami wave simulation accuracy.

Application to real bathymetric data demonstrates practical relevance.

Method facilitates realistic modeling of tsunami propagation.

Abstract

The importance of the study of the propagation of a Tsunami wave came from the complex phenomenon and its natural disasters which represents a major risk for populations. To model this phenomena, we will consider a simplified Boussinesq system of Benjamin, Bona and Mahony type derived by D. Mitsotakis over a flat bottom then over a variable bottom in space and in time and apply this system, first, using a mesh generated using a photo of the Mediterranean sea, second, using a mesh generated using an imported xyz bathymetry for the sea near Java island and then we will consider a realistic example of the Tsunami wave near Java island which happened in 2006.We choose here to use FreeFem++ software which simplifies the construction of the domain, in particular, one of the advantage of FreeFem++ is that we can build a mesh using a photo and we can easily export bathymetric data in order to consider more realistic simulations where a special adapt mesh technique applied for these two methods is detailed in the sequel.