聚焦波与超大型浮体作用的非线性数值模拟

doi:10.16183/j.cnki.jsjtu.2017.07.010

摘要/Abstract

摘要： 利用高阶边界元方法建立模拟聚焦波浪与弹性浮板作用的完全非线性二维时域数值水槽模型，其中指定2阶Stokes速度解析解产生聚焦波；采用混合欧拉拉格朗日方法追踪流体和结构表面变化，再利用梁自由振动的自然模态函数近似流固交界面的瞬时位移；使用4阶RungeKutta法更新水面及浮板位移和速度势.对比发现，该数学模型可以准确地模拟浮板在波浪作用下的水弹性响应和所期望的聚焦波浪.并进一步研究了浮板摆放条件、浮板厚度、聚焦波频率带宽和入射波幅对浮板水弹性响应的影响.

关键词: , 超大型浮体, 聚焦波, 时域完全非线性, 水弹性响应, 高阶边界元

Abstract: This paper establishes a twodimensional fully nonlinear numerical wave tank for studying the interaction between focused waves and floating elastic plate. The secondorder Stokes wave velocity is given to generate the input wave. The mixed EulerianLagrangian approach is applied to track the transient free and plate surface. A series of modal functions with freeend conditions are adopted to interpolate the displacement, and then the fourthorder RungeKutta scheme is used to refresh profile and velocity potential. The numerical model is verified with existing numerical and experimental results. The effects of the design parameters on the responses are systematically analyzed.

Key words: very large floating structure, focused waves, time domain fully nonlinear, hydroelastic responses, higherorder boundary element method

中图分类号:

U 661.1

程勇1，嵇春艳1，陆婷婷1，翟钢军2. 聚焦波与超大型浮体作用的非线性数值模拟[J]. 上海交通大学学报（自然版）, 2017, 51(7): 831-839.

CHENG Yong1,JI Chunyan1,LU Tingting1,ZHAI Gangjun2. Nonlinear Numerical Investigation on the Interaction of
Focused Waves with Very Large Floating Structure[J]. Journal of Shanghai Jiaotong University, 2017, 51(7): 831-839.

参考文献

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