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基于圆柱入水的孤立波生成新方法及其数值模拟检验

A new approach for solitary wave generation through water entry of a circular cylinder and its numerical validation

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【作者】 贺铭高喜峰徐万海任冰

【Author】 HE Ming;GAO Xi-feng;XU Wan-hai;REN Bing;State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University;State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology;

【机构】 天津大学水利工程仿真与安全国家重点实验室大连理工大学海岸和近海工程国家重点实验室

【摘要】 为提高造波效率和减弱波浪二次反射作用,在一些波浪水池中安装了冲击式造波装置,但如何控制冲击体运动来生成波形稳定、波高可控的孤立波是尚未解决的难题。本文提出并验证了一种基于圆柱浸没体积等于孤立波体积原理的新式孤立波生成方法。首先推导了计算圆柱位移时程的隐式方程组以及生成波高受圆柱半径的约束条件。接着采用光滑粒子流体动力学方法模拟并比对了文献中的物理实验。最后应用验证过的数值模型计算了圆柱入水生成的孤立波波面和水质点水平速度的空间分布。与解析理论的比较证实,利用所提出的造波理论能够生成波形、流速准确且无明显尾波迹象的高质量孤立波。更为重要地是孤立波自生成起便已达到稳定,因此能够缩短测量和模拟孤立波对结构物作用时结构物与造波装置间的距离,既节约了实验场地空间,也提升了数值计算效率。

【Abstract】 Plunger-type wavemakers are installed in some wave basins to increase wave-making efficiency and weaken re-reflect waves.However,it is still unclear how to generate a stable and controllable solitary wave by precisely governing the plunger motion.A new solitary wave-making theory is therefore proposed based on the conservation between the immersed volume of a circle cylinder and the above-water volume of a solitary wave.First,implicit equations used to calculate the cylinder motion is derived,and restraint conditions on the generated wave height due to the radius of the cylinder is given.Then,a numerical,model based on the Smoothed Particle Hydrodynamics method is built.After being validated by reproducing a physical experiment in the literature,it is used to simulate the solitary wave generation through water entry of a circular cylinder.The calculated wave profile as well as the horizontal velocities of fluid particles agrees well with the analytical solutions.It indicates that the proposed wave-making theory is capable of producing high-quality solitary waves that have accurate waveforms and flow velocities without obvious trailing waves.More importantly,the solitary wave reaches steady state as soon as being excited.Accordingly,the distance between the structure and wavemaker when measuring or simulating the solitary wave-structure interaction can be shortened.Much laboratory space and computational cost will be saved.

【基金】 国家自然科学基金(51709201、51679167);中国博士后科学基金(2017M621074)的支持
  • 【会议录名称】 第三十届全国水动力学研讨会暨第十五届全国水动力学学术会议论文集(上册)
  • 【会议名称】第三十届全国水动力学研讨会暨第十五届全国水动力学学术会议
  • 【会议时间】2019-08-16
  • 【会议地点】中国安徽合肥
  • 【分类号】TV139.2
  • 【主办单位】《水动力学研究与进展》编委会(Editorial Board of Journal of Hydrodynamics)、中国力学学会(Chinese Society of Theoretical and Applied Mechanics)、中国造船工程学会(Chinese Society of Naval Architecture and Marine Engineering)、合肥工业大学(Hefei University of Technology)、中国科技技术大学(University of Science of Technology of China)
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