Sadaka, G.; Dutykh, D. Adaptive Numerical Modeling of Tsunami Wave Generation and Propagation with FreeFem++. Geosciences2020, 10, 351.
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++. Geosciences2020, 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.
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.