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Adaptive Numerical Modeling of Tsunami Wave Generation and Propagation with $FreeFem^{+}$+
Content Provider | MDPI |
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Author | Sadaka, Georges Dutykh, Denys |
Copyright Year | 2020 |
Description | A simplified nonlinear dispersive Boussinesq system of the Benjamin–Bona–Mahony (BBM)-type, initially derived by Mitsotakis (2009), is employed here in order to model the generation and propagation of surface water waves over variable bottom. The simplification consists in prolongating the so-called Boussinesq approximation to bathymetry terms, as well. Using the finite element method and the FreeFem++ software, we solve this system numerically 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 to be a pedagogical paper presenting to tsunami wave community a new technology and a novel adaptivity technique, along with all source codes necessary to implement it. |
Starting Page | 351 |
e-ISSN | 20763263 |
DOI | 10.3390/geosciences10090351 |
Journal | Geosciences |
Issue Number | 9 |
Volume Number | 10 |
Language | English |
Publisher | MDPI |
Publisher Date | 2020-09-04 |
Access Restriction | Open |
Subject Keyword | Geosciences Marine Engineering Tsunami Wave Finite Elements Mesh Adaptation Domain Adaptation Co-seismic Displacements Tsunami Wave Energy Freefem++ Unstructured Meshes |
Content Type | Text |
Resource Type | Article |