107 citations
- Centre National de la Recherche ScientifiqueFR120 papers
- Université Savoie Mont BlancFR82 papers
- Le LAMAFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR30 papers
- Laboratoire Jean-Alexandre DieudonnéFR14 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR13 papers
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- University College DublinIE12 papers
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7 papers · 1 filter
Vortexons in axisymmetric Poiseuille pipe flows
Francesco Fedele, Denys Dutykh
We present a study on the nonlinear dynamics of small long-wave disturbances to the laminar state in non-rotating axisymmetric Poiseuille pipe flows. At high Reynolds numbers, the…
Run-up amplification of transient long waves
Themistoklis Stefanakis, Shanshan Xu, Denys Dutykh +1
The extreme characteristics of long wave run-up are studied in this paper. First we give a brief overview of the existing theory which is mainly based on the hodograph transformati…
Fast accurate computation of the fully nonlinear solitary surface gravity waves
Didier Clamond, Denys Dutykh
In this short note, we present an easy to implement and fast algorithm for the computation of the steady solitary gravity wave solution of the free surface Euler equations in irrot…
Generation of two-dimensional water waves by moving bottom disturbances
Hayk Nersisyan, Denys Dutykh, Enrique Zuazua
We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater…
The Force of a Tsunami on a Wave Energy Converter
Laura O'Brien, Paul Christodoulides, Emiliano Renzi +2
With an increasing emphasis on renewable energy resources, wave power technology is fast becoming a realistic solution. However, the recent tsunami in Japan was a harsh reminder of…
Geometric numerical schemes for the KdV equation
Denys Dutykh, Marx Chhay, Francesco Fedele
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous s…