United States

A surface seiche is a regular oscillation of the surface of an enclosed body of water such as a lake or bay. This project examines the formation of a seiche in a small circular above-ground pool. Analyzing observations from an ultrasonic range sensor, we determine the initial amplitude, period and decay constant of the seiche to be 6.2 cm, 1.975 s and 340 s, respectively. Since the decay time constant is much larger than the period, frictional effects should have a relatively small impact on the period of the seiche. We use a finite difference scheme to solve the wave equation in cylindrical coordinates for the surface height. We find that the theoretical period agrees with the observations if a wave speed consistent with the pool dimensions is used instead of the wave speed provided by the shallow wave approximation.

AAPT SM 20

Computational Modeling of Seiche in an Circular Above-Ground Pool

standing wave

seiche

wave equation

finite difference

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A Metric for Comparing Populations Using Item Response Curves

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