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Journal Articles Journal of Computational Physics Year : 2011

Finite volume schemes for dispersive wave propagation and runup

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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.
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Dates and versions

hal-00472431 , version 1 (12-04-2010)
hal-00472431 , version 2 (14-04-2010)
hal-00472431 , version 3 (12-11-2010)
hal-00472431 , version 4 (22-12-2010)
hal-00472431 , version 5 (09-01-2011)

Licence

Attribution - CC BY 4.0

Identifiers

Cite

Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis. Finite volume schemes for dispersive wave propagation and runup. Journal of Computational Physics, 2011, 230 (8), pp.3035-3061. ⟨10.1016/j.jcp.2011.01.003⟩. ⟨hal-00472431v5⟩
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