Numerical Investigation on Roll-Wave Properties: Wave–Wave Interactions, Generality, and Spectrum
Publication: Journal of Engineering Mechanics
Volume 141, Issue 2
Abstract
Modeling natural roll waves in unstable open channel flows where Froude number has not been well understood. In this investigation, some evolution properties of natural roll waves are numerically disclosed, with the intention to advance the development of modeling unstable open channel flows. To simulate natural roll waves, the diffusive Saint-Venant equations are solved using a high-resolution scheme based on the finite-volume formulation. The numerical solutions of detailed wave–wave interaction processes, including wave overtaking, absorption, and spawning, are displayed. Wave overtaking and absorption result in the coalescence of multiple waves; wave spawning results in the birth of new waves. The spatial evolution of roll waves always undergoes initial, transition, and final phases. The three phases constitute a generality for roll-wave evolutions. Finally, the spectral analysis along channel reveals that both the wave period and nonperiodicity increase from upstream to downstream channel locations.
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Acknowledgments
The research presented in this paper is supported by the USC Foundation for Cross-Connection Control and Hydraulic Research.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 2 • February 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Dec 14, 2013
Accepted: Sep 11, 2014
Published online: Oct 16, 2014
Published in print: Feb 1, 2015
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