The excitation of resonant free-surface gravity waves in confined geometries

Dr Matthew Durey (University of Glasgow)

Thursday 24th November, 2022 14:00-15:00 Maths 311B / ZOOM (ID: 831 7232 4866)

Abstract

Nonlinear resonance is a mechanism by which energy is continuously exchanged between a small number of linear wave modes, a phenomenon common to a large number of dispersive fluid systems. In the context of free-surface gravity waves, nonlinear resonance has been studied extensively over the past century, with a particular focus on domains that are large compared to the characteristic wavelength (such as oceans). However, nonlinear resonance in confined three-dimensional geometries has received relatively little attention, despite being a central consideration in the design of man-made structures arising in hydrological engineering, such as industrial-scale fluid tanks. Here I will present the results of a combined theoretical and computational investigation into the onset and dynamics of resonant free-surface flows in a cylinder of finite depth, paying particular attention to the behaviour of low-order resonances.

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