Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520889 | Journal of Computational Physics | 2011 | 27 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis,