Propagation of a Tsunami wave

Abstract: The importance of the study to the propagation of a Tsunami wave became from the complex phenomenon that represent and its natural disasters which represent a major risk for populations. To model this phenomena, we will consider the BBM-BBM 1 Boussinesq system [2] with a variable bottom in space and apply this system, first, using a mesh generated through a photo of the Mediterranean sea, then using a mesh generated through an imported xyz bathymetry for the East part of the Mediterranean sea. We choose here to use FreeFem++ [10] software which simplify the construction of the domain in particular, one of the advantage of FreeFem++ is that we can build a mesh through a photo and we can easily export bathymetric data in order to consider more realistic simulations.