Tsunami Waveforms and Runup of Undular Bores in Coastal Waters
Publication: Journal of Engineering Mechanics
Volume 142, Issue 7
Abstract
This paper carries out the numerical simulation of tsunami propagation based on the fully nonlinear and highly dispersive Boussinesq model. The numerical results indicate that the waveforms of a tsunami are quite different on steeply and mildly sloping beaches, which cannot be predicted by the analytical solution of the nonlinear shallow water equations. Long wave trains form on the steeply sloping beaches while undular bores emerge on the mildly sloping beaches. The simulation of hypothesized tsunamis in the China Seas provide different wave patterns in the near shore regions, including long wave trains, undular bores, and solitons. In order to study the propagation and run-up of undular bores, a series of undular bores is proposed by sinusoidal and attenuation functions. The properties of the run-up and energy budget of these undular bores are investigated.
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Acknowledgments
The financial supports from the National Natural Science Foundation of China (Grant Nos. 11202130, 51379123) and the Doctoral Program Foundation of Higher Education (Grant No. 20060248046) are appreciated. Special acknowledgments go to Professor Yousheng He of Shanghai Jiao Tong University for his encouragement on tsunami studies.
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© 2016 American Society of Civil Engineers.
History
Received: Apr 20, 2015
Accepted: Jan 11, 2016
Published online: Mar 9, 2016
Published in print: Jul 1, 2016
Discussion open until: Aug 9, 2016
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