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Nick Moore, US Naval Academy – Applied Mathematics Seminar
April 30, 2021 @ 4:00 pm - 5:00 pm
Nick Moore, US Naval Academy
Title: Anomalous waves induced by abrupt depth change: laboratory experiments and KdV statistical mechanics Abstract: I will discuss both laboratory experiments and a newly developed theory to describe randomized surface waves propagating over variable bathymetry. The experiments show that an abrupt depth change can qualitatively alter wave statistics, transforming an initially Gaussian wave field into a highly skewed one. In our experiments, the probability of a rogue wave can increase by a factor of 50 when compared to Gaussian. A new theoretical framework, based on dynamical and statistical analysis of the truncated KdV equations, accurately captures key features of the experiments, including the skewed wave distributions that emerge downstream and the associated excitation of higher frequencies in the spectrum. More recently obtained rigorous results suggest a highly-efficient and parallelizable sampling strategy to be implemented on a GPU. |