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Adaptive Numerical Modelling of Tsunami Wave Generation and Propagation with FreeFem++
Version 1
: Received: 26 August 2020 / Approved: 27 August 2020 / Online: 27 August 2020 (12:17:44 CEST)
A peer-reviewed article of this Preprint also exists.
Sadaka, G.; Dutykh, D. Adaptive Numerical Modeling of Tsunami Wave Generation and Propagation with FreeFem++. Geosciences 2020, 10, 351. Sadaka, G.; Dutykh, D. Adaptive Numerical Modeling of Tsunami Wave Generation and Propagation with FreeFem++. Geosciences 2020, 10, 351.
Abstract
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.
Keywords
tsunami wave; finite elements; mesh adaptation; domain adaptation; co-seismic displacements; tsunami wave energy; FreeFem++; unstructured meshes
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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