107 citations · 3.2k across the 144 of their papers we have counts for
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Finite volume methods for unidirectional dispersive wave models
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
We extend the framework of the finite volume method to dispersive unidirectional water wave propagation in one space dimension. In particular we consider a KdV-BBM type equation. E…
On the contribution of the horizontal sea-bed displacements into the tsunami generation process
Denys Dutykh, Dimitrios Mitsotakis, Leonid Chubarov +1
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken i…
On the use of finite fault solution for tsunami generation problems
Denys Dutykh, Dimitrios Mitsotakis, Xavier Gardeil +1
The present study is devoted to the problem of tsunami wave generation. The main goal of this work is two-fold. First of all, we propose a simple and computationally inexpensive mo…
Finite volume schemes for dispersive wave propagation and runup
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…
The VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation
Denys Dutykh, Raphaël Poncet, Frédéric Dias
A novel tool for tsunami wave modelling is presented. This tool has the potential of being used for operational purposes: indeed, the numerical code \VOLNA is able to handle the co…
Practical use of variational principles for modeling water waves
Didier Clamond, Denys Dutykh
This paper describes a method for deriving approximate equations for irrotational water waves. The method is based on a 'relaxed' variational principle, i.e., on a Lagrangian invol…