2020
Adaptive numerical modelling of tsunami wave generation and propagation with FreeFem++
GGeosciences
G. Sadaka and D. Dutykh
Geosciences 10(9): 351 (2020)
Open Access
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
domain adaptationBBM-type equationstsunami waveco-seismic displacementsunstructured meshestsunami wave generationtsunami wave propagationadaptive numerical modellingvariable bathymetryfinite elementsBoussinesq approximationfinite element methodJava 2006 tsunamimesh adaptationtsunami wave energyFreeFem++
Bibliographic record
BibTeX Citation
@article{Sadaka2020adaptivenumerical,
author = {Sadaka, G. and Dutykh, D.},
title = {Adaptive numerical modelling of tsunami wave generation and propagation with FreeFem++},
journal = {Geosciences},
year = {2020},
volume = {10},
number = {9},
pages = {351},
doi = {10.3390/geosciences10090351},
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 = {domain adaptation, BBM-type equations, tsunami wave, co-seismic displacements, unstructured meshes, tsunami wave generation, tsunami wave propagation, adaptive numerical modelling, variable bathymetry, finite elements, Boussinesq approximation, finite element method, Java 2006 tsunami, mesh adaptation, tsunami wave energy, FreeFem++}
}