Finite volume schemes for dispersive wave propagation and runup

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 non- linear, 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.