On the Critical Froude Number

Thursday, April 28, 2016 - 10:00am
111 MSB
Evan Datz (Advisor: Prof. Sam Walsh)

This presentation discusses two-dimensional stratified solitary waves moving through a body of water. After stating the Euler equations for incompressible steady flow, we simplify them to a single differential equation by only considering waves with certain properties. This equation naturally leads to particular values of a dimensionless parameter, the Froude number. By examining this parameter, we show that there are no solitary waves of elevation with critical Froude number. Finally, we present some numerical experiments that examine the situations when these results hold.