107 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR169 papers
- Université Savoie Mont BlancFR162 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR85 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR33 papers
- Laboratoire Jean-Alexandre DieudonnéFR21 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR21 papers
- Université Grenoble AlpesFR19 papers
- Université Paris-Est CréteilFR19 papers
- University College DublinIE17 papers
- Université Nice Sophia AntipolisFR16 papers
- Pontifícia Universidade Católica do ParanáBR15 papers
5 papers · 2 filters
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…
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…