English

Efficient computation of capillary-gravity generalized solitary waves

Fluid Dynamics 2020-02-20 v2 Numerical Analysis Pattern Formation and Solitons Classical Physics Computational Physics

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

Cite

@article{arxiv.1510.06605,
  title  = {Efficient computation of capillary-gravity generalized solitary waves},
  author = {Denys Dutykh and Didier Clamond and Angel Duran},
  journal= {arXiv preprint arXiv:1510.06605},
  year   = {2020}
}

Comments

26 pages, 21 figures, 2 tables, 43 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/. arXiv admin note: substantial text overlap with arXiv:1411.5519

R2 v1 2026-06-22T11:26:34.470Z