Dispersion and Dissipation in Shallow Water

Tuesday, October 14, 2014 - 9:00am - 9:50am
Lind 305
John Carter (Seattle University)
In 1978, Hammack & Segur conducted a series of experiments showing
the evolution of finite-amplitude waves of depression. The
experiments were conducted in a long, narrow tank with a rectangular,
vertically moving wave maker at one end. Time series were collected
by gages located at five different positions down the tank. These
time series suggest that dispersion and dissipation play important
roles in the evolution of waves of depression. In this talk, we
examine the roles of dispersion and dissipation by comparing the
experimental data with results from numerical simulations of the
classical shallow-water, Korteweg-deVries, Serre, and Whitham
equations along with some of their dissipative generalizations.
MSC Code: