Modeling the interaction of solitary waves and semi-circular breakwaters by using unsteady reynolds equations |
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Authors: | Liu?Chang-gen Email author" target="_blank">Tao?Jian-huaEmail author |
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Affiliation: | Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China |
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Abstract: | A vertical 2-D numerical wave model was developed based on unsteady Reynolds equations. In this model, the k-epsilon models
were used to close the Reynolds equations, and volume of fluid (VOF) method was used to reconstruct the free surface. The
model was verified by experimental data. Then the model was used to simulate solitary wave interaction with submerged, alternative
submerged and emerged semi-circular breakwaters. The process of velocity field, pressure field and the wave surface near the
breakwaters was obtained. It is found that when the semi-circular breakwater is submerged, a large vortex will be generated
at the bottom of the lee side wall of the breakwater; when the still water depth is equal to the radius of the semi-circular
breakwater, a pair of large vortices will be generated near the shoreward wall of the semi-circular breakwater due to wave
impacting, but the velocity near the bottom of the lee side wall of the breakwater is always relatively small. When the semi-circular
breakwater is emerged, and solitary wave cannot overtop it, the solitary wave surface will run up and down secondarily during
reflecting from the breakwater. It can be further used to estate the diffusing and transportation of the contamination and
transportation of suspended sediment.
Foundation items: the National “863” Project of China (2002AA639610); the National Natural Science Foundation of China (598339330); LIU Hui
Center for Applied Mathematics, Naikai University & Tianjin University
Biographies: LIU Chang-gen (1973≈) |
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Keywords: | Reynolds equation VOF method free surface semi-circular breakwater solitary wave |
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