Finite volume schemes for dispersive wave propagation and runup
Classical Physics
2020-02-20 v5 Analysis of PDEs
Numerical Analysis
Atmospheric and Oceanic Physics
Computational Physics
Fluid Dynamics
Abstract
Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework of the finite volume methods to dispersive water wave models, in particular to Boussinesq type systems. We focus mainly on the application of the method to bidirectional nonlinear, dispersive wave propagation in one space dimension. Special emphasis is given to important nonlinear phenomena such as solitary waves interactions, dispersive shock wave formation and the runup of breaking and non-breaking long waves.
Keywords
Cite
@article{arxiv.1004.1950,
title = {Finite volume schemes for dispersive wave propagation and runup},
author = {Denys Dutykh and Theodoros Katsaounis and Dimitrios Mitsotakis},
journal= {arXiv preprint arXiv:1004.1950},
year = {2020}
}
Comments
41 pafes, 20 figures. Other author's papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/