Finite volume schemes for Boussinesq type equations

Details Finite volume schemes for Boussinesq type equations Finite volume schemes for Boussinesq type equations

2011-01-10

arxiv.org/abs/1101.1728v1

Physics

Classical Physics

6 pages, 2 figures, 18 references. Published in proceedings of Colloque EDP-Normandie held at Caen (France), on 28 \& 29 Octob

Scientific paper

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.

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