The wave stability of solitary waves over a bump for the full Euler equations
Fluid Dynamics
2022-03-08 v1
Abstract
In this work, we present a numerical study of the wave stability of steady solitary waves over a localised topographic obstacle through the full Euler equations. There are two branches of the solutions: one from the perturbed uniform flow and the other from the perturbed solitary-wave flow. We find that steady waves from the perturbed uniform flow are always stable with respect to perturbations of its amplitude. Regarding the perturbed solitary-wave, when the perturbed initial condition has smaller amplitude than the steady solution we notice a certain type of stability. Yet, when the perturbed initial condition has larger amplitude than the steady solution an onset of wave-breaking seem to occur.
Cite
@article{arxiv.2203.03537,
title = {The wave stability of solitary waves over a bump for the full Euler equations},
author = {Marcelo V. Flamarion and Roberto Ribeiro-Jr},
journal= {arXiv preprint arXiv:2203.03537},
year = {2022}
}