Modeling the Interaction of Solitary Waves and Semi-Circular Breakwaters by Using Unsteady Reynolds Equations
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摘要: 以时变雷诺方程为控制方程，用k-ε模型封闭该方程，采用体积函数(VOF)方法来跟踪波动自由表面，建立了二维垂向波浪数学模型，并用已有的实验资料进行了验证．随后用该模型模拟了半圆型防波堤与孤立波在淹没、平顶水位、完全露顶且不越浪3种典型工况下的相互作用过程．得到了半圆堤附近的流场、压强场和波面的变形过程．结果表明，在淹没状态下，半圆堤背浪面的底部会产生涡旋；平顶水位时，由于越浪的冲击作用，在半圆堤的背浪面将逐渐形成一对较大的涡旋，而半圆堤背浪面的底部，速度始终相对较小；而在露顶不越浪时，半圆堤的迎浪面会出现波浪的二次爬升的现象．为进一步研究结构物附近的污染物的输移扩散和泥沙运动提供基础．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 bott om 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.
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Key words:
- Reynolds equation /
- VOF method /
- free surface /
- semi-circular breakwater /
- solitary wave
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[1] 谢世楞.淹没情况下半圆型导堤上的波浪力[J]. 港工技术，1998,15(2):1—5. [2] 陶建华，袁德奎，刘长根. 长江口深水航道二期整治工程结构物设计波浪要素推算[R]. 天津：天津大学研究报告，2002. [3] 王海滨，刘子琪. 天津港北大防波堤新建工程半圆型堤断面模型试验报告[R]. 天津：天津港湾研究所研究报告，1995. [4] 贾东华.半圆堤波浪力的数值计算[R]. 北京：交通部一航院研究报告，1999. [5] YUAN De-kui,TAO Jian-hua. Wave forces on submerged, alternately submerged, and emerged semicircular breakwaters[J].Coastal Engineering,2003,48(2):75—93. doi: 10.1016/S0378-3839(02)00169-2 [6] Hirt C W, Nichols B D. Volume of fluid (VOF) Method for the dynamics of free boundaries[J].Journal of Computational Physics,1981,39（1）:201—225. doi: 10.1016/0021-9991(81)90145-5 [7] Youngs D L.Time-dependent multi-material flow with large fluid distortion[A].In:Morton K W,Baineks M J Eds.Numerical Methods for Fluid Dynamics[C].New York: Academic, 1982,273—285. [8] ZHUANG Fei,LEE Jiin-Jin.A viscous rotational model for wave overtopping over marine structure[A].In:Billy L Edge Ed.Proc 25th Internat Conf Coastal Eng[C].Florida:ASCE,1996,2178—2191. [9] Launder B E,Spalding D B. The numerical computation of turbulent flows[J].Computer Methods in Applied Mechanics and Engineering,1974,3（1）:269—289. doi: 10.1016/0045-7825(74)90029-2 [10] Larsen Jesper,Dancy Henry. Open boundaries in short wave simulations —a new approach[J].Coastal Engineering,1983,7（3）:285—297. doi: 10.1016/0378-3839(83)90022-4 [11] Ashgriz N，Poo J Y. FLAIR (flux line-segment model for advection and interface reconstruction)[J].Journal of Computational Physics,1991,93(2)：449—468. doi: 10.1016/0021-9991(91)90194-P [12] Chorin A J.On the convergence of discrete approximations of the Navier-Stokes equations[J].Math Comp,1969,23（106）: 341—353. doi: 10.1090/S0025-5718-1969-0242393-5 [13] LIN Peng-zhi,LIU Philip L -F.A numerical study of breaking waves in the surface zone[J].J Fluid Mech,1998,359（6）:239—264. doi: 10.1017/S002211209700846X -
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