Efficient computation of capillary-gravity generalized solitary waves
Denys Dutykh (LAMA), Didier Clamond (JAD), Angel Duran (MA)
TL;DR
This paper introduces an improved numerical method for computing capillary-gravity solitary waves, providing detailed analysis of wave profiles and internal flow structures, with open-source code for reproducibility.
Contribution
It presents an alternative Babenko-type equation formulation and detailed numerical analysis of solitary waves, advancing computational techniques in fluid dynamics.
Findings
New formulation of Babenko-type equation for wave profiles
Detailed numerical resolution of solitary waves
Open-source code for wave computation
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.
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