New Internal-Wave Model in a Two-Layer Fluid
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 142, Issue 3
Abstract
To model internal waves, high-level Green-Naghdi (GN) equations that are strongly nonlinear were developed for a two-layer fluid with a rigid lid over the upper layer. The GN models were applied to two internal-solitary-wave cases: weakly dispersive and strongly dispersive. In the weakly dispersive case, the ratio between the upper and lower layers was 1:4.13. In the strongly dispersive case, the two depth ratios between the upper and lower layers were 1:24 and 10.13:1. For both the weakly and strongly dispersive test cases, the converged GN results for wave speed, wave profile, and velocity distribution agreed well with the experimental data and the solution of Euler equations, even for large-amplitude solitary waves. For the strongly nonlinear and strongly dispersive cases, the converged GN results showed better accuracy than some other strongly nonlinear models.
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Acknowledgments
The authors are grateful to the anonymous reviewers for comments and suggestions that improved this work. The first and third authors were supported by the National Natural Science Foundation of China (Grants 51490671 and 11572093), the International Science and Technology Cooperation Project sponsored by the National Ministry of Science and Technology of China (Grant 2012DFA70420), the Special Fund for Basic Scientific Research of Central Colleges (Harbin Engineering University), and High-Tech Ship Research Projects sponsored by the Ministry of Industry and Information Technology (MIIT) of China.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 142 • Issue 3 • May 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Apr 6, 2015
Accepted: Jul 20, 2015
Published online: Jan 5, 2016
Published in print: May 1, 2016
Discussion open until: Jun 5, 2016
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