106 citations · 730 across the 45 of their papers we have counts for
5 papers · 1 filter
Dispersive waves generated by an underwater landslide
Denys Dutykh, Dimitrios Mitsotakis, Sonya Beysel +1
In this work we study the generation of water waves by an underwater sliding mass. The wave dynamics are assumed to fell into the shallow water regime. However, the characteristic…
Long wave runup on random beaches
Denys Dutykh, Céline Labart, Dimitrios Mitsotakis
The estimation of the maximum wave sunup height is a problem of practical importance. Most of the analytical and numerical studies are limited to a constant slope plain shore and t…
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
Denys Dutykh, Didier Clamond, Paul Milewski +1
After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties. We also propose a robust…
Finite volume schemes for Boussinesq type equations
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
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 wa…
Dispersive wave runup on non-uniform shores
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
Historically the finite volume methods have been developed for the numerical integration of conservation laws. In this study we present some recent results on the application of su…