Session AN - Waves I.
ORAL session, Sunday morning, November 23
Preakness, SMH
We consider one-dimensional surface waves excited by time-periodic vertical acceleration of a fluid layer. We focus on periodic forcing functions composed of a sequence of delta function impulses and perform a weakly nonlinear analysis based on the Zhang-Vinals quasipotential model, valid for deep layers of low viscosity fluids, that yields fully analytical expressions for the normal form coefficients. We then compare our results with those obtained numerically for sinusoidal and multi-frequency forcing functions and find some surprising similarities. With an eye to recent experiments, we also consider piecewise constant forcing, and Fourier series approximations to impulsive forcing.