Modeling the interaction of solitary waves and semi-circular breakwaters by using unsteady reynolds equations

• Published in: Applied mathematics and mechanics Vol. 25; no. 10; pp. 1118 - 1129
• Main Authors: Chang-gen, Liu, Jian-hua, Tao
• Format: Journal Article
• Language: English
• Published: Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China 01.10.2004
• Subjects: free surface; solitary wave; semi-circular breakwater; Reynolds equation; VOF method
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/BF02439864

O351.2; 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.