Numerical Simulation of Shoaling Broad-Crested Internal Solitary Waves
Publication: Journal of Hydraulic Engineering
Volume 143, Issue 6
Abstract
The interaction between fully nonlinear Miyata-Choi-Camassa (MCC) internal solitary waves and topographic slopes are modeled by direct numerical simulation. The immersed boundary method is employed to describe the no-slip boundary of the slopes and a novel iterative Neumann boundary condition (INBC) enforcement strategy is proposed to ensure local mass conservation. The wave Reynolds numbers used in the present work (), although less than those of field scales (), but are an order of magnitude greater than those in most laboratory scale experiments and previous numerical simulations (). In the present study, three main internal wave breaking types (collapsing, plunging, and surging) together with two mixed mode breaking types (collapsing-plunging and plunging-surging) are observed for MCC wave shoaling process. The different breaking mechanisms are found to be related to the internal Iribarren number. New breaking regimes, breaking location criterion, and the maximum velocity prediction are also proposed.
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Acknowledgments
The authors sincerely thank the anonymous reviewers for their constructive suggestions. We also give thanks to the National Natural Science Foundation of China (Grant Nos. 51609068, 51479058, 51309085), the State Key Program of National Natural Science of China (Grant No. 51239003), 111 Project (Grant No. B12032) and the Fundamental Research Funds for the Central Universities (Grant No. 2016B00414).
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Published In
Journal of Hydraulic Engineering
Volume 143 • Issue 6 • June 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Aug 5, 2015
Accepted: Sep 12, 2016
Published ahead of print: Feb 8, 2017
Published online: Feb 9, 2017
Published in print: Jun 1, 2017
Discussion open until: Jul 9, 2017
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