Efficient computation of capillary-gravity generalised solitary waves

Denys Dutykh; Didier Clamond; Angel Durán

doi:10.1016/j.wavemoti.2016.04.007

Efficient computation of capillary-gravity generalised solitary waves

Denys Dutykh
, Didier Clamond
, Angel Durán

Mathematics

Université de Nice - Sophia Antipolis
Universidad de Valladolid

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continuation of a previous work in several points: an alternative formulation of the Babenko-type equation for the wave profiles, a detailed description of both the numerical resolution and the analysis of the internal flow structure under a solitary wave. The numerical code used in this study is provided in open source for those interested readers.

Original language	British English
Pages (from-to)	1-16
Number of pages	16
Journal	Wave Motion
Volume	65
DOIs	https://doi.org/10.1016/j.wavemoti.2016.04.007
State	Published - 1 Sep 2016

Keywords

Capillary-gravity waves
Euler equations
Generalised solitary waves
Solitary surface waves

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10.1016/j.wavemoti.2016.04.007

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title = "Efficient computation of capillary-gravity generalised solitary waves",

abstract = "This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continuation of a previous work in several points: an alternative formulation of the Babenko-type equation for the wave profiles, a detailed description of both the numerical resolution and the analysis of the internal flow structure under a solitary wave. The numerical code used in this study is provided in open source for those interested readers.",

keywords = "Capillary-gravity waves, Euler equations, Generalised solitary waves, Solitary surface waves",

author = "Denys Dutykh and Didier Clamond and Angel Dur{\'a}n",

note = "Funding Information: D. Clamond \& D. Dutykh would like to acknowledge the support of CNRS under the PEPS InPhyNiTi 2015 project FARA. A. Dur{\'a}n has been supported by project MTM2014-54710-P. D. Dutykh \& A. Dur{\'a}n acknowledge the hospitality of Laboratoire J.A. Dieudonn{\'e} UMR 7351 as well as of the University of Nice Sophia Antipolis where important parts of this work have been performed. All the authors would like to thank Professor Taras Lakoba (University of Vermont, USA) for very stimulating discussions on the numerical methods for nonlinear travelling waves. Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

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AU - Clamond, Didier

AU - Durán, Angel

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N2 - This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continuation of a previous work in several points: an alternative formulation of the Babenko-type equation for the wave profiles, a detailed description of both the numerical resolution and the analysis of the internal flow structure under a solitary wave. The numerical code used in this study is provided in open source for those interested readers.

AB - This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continuation of a previous work in several points: an alternative formulation of the Babenko-type equation for the wave profiles, a detailed description of both the numerical resolution and the analysis of the internal flow structure under a solitary wave. The numerical code used in this study is provided in open source for those interested readers.

KW - Capillary-gravity waves

KW - Euler equations

KW - Generalised solitary waves

KW - Solitary surface waves

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SN - 0165-2125

VL - 65

SP - 1

EP - 16

JO - Wave Motion

JF - Wave Motion

ER -

Efficient computation of capillary-gravity generalised solitary waves

Abstract

Keywords

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