Finite volume schemes for dispersive wave propagation and runup

Details Finite volume schemes for dispersive wave propagation and runup Finite volume schemes for dispersive wave propagation and runup

2010-04-12

arxiv.org/abs/1004.1950v5

Physics

Classical Physics

41 pafes, 20 figures. Other author's papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/

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, dispersive shock wave formation and the runup of breaking and non-breaking long waves.

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