Computations of fully nonlinear three-dimensional wave–wave and wave–body interactions. Part 1. Dynamics of steep three-dimensional waves
Computations of fully nonlinear three-dimensional wave–wave and wave–body interactions. Part 1. Dynamics of steep three-dimensional waves
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DOI：
10.1017/s0022112001004396
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发表时间：
2001-07
影响因子：
3.7
通讯作者：
M. Xue;H. Xü;Yuming Liu;D. Yue
中科院分区：
文献类型：
--
作者：
M. Xue;H. Xü;Yuming Liu;D. Yue
本文发展了一种高效率的高阶边界元方法，采用欧拉-拉格朗日混合方法模拟完全非线性三维波-波和波-体相互作用。为了说明，我们应用这种方法的两个三维陡波问题的研究。(The应用于波体相互作用的问题在随附的论文中讨论：Liu，Xue & Yue 2001。）在第一个问题中，我们研究了三维倾覆破碎波的动力学。我们得到详细的运动学和充分量化的三维效果后波暴跌。系统模拟表明，与二维波相比，三维波通常在较高的表面高程和较大的最大纵向加速度下破碎，但具有较小的尖端速度和较小的拱形前表面。对于第二个问题，我们研究了陡月牙波的产生机理。我们表明，这种波的发展是三维（II类）斯托克斯波不稳定性的结果。从二维Stokes波与三维小扰动，我们得到直接模拟的演化L2和L3月牙波。我们的研究结果比较定量以及与实验测量的所有不同的功能和几何性质，这样的波。
We develop an efficient high-order boundary-element method with the mixed-Eulerian–Lagrangian approach for the simulation of fully nonlinear three-dimensional wave–wave and wave–body interactions. For illustration, we apply this method to the study of two three-dimensional steep wave problems. (The application to wave–body interactions is addressed in an accompanying paper: Liu, Xue & Yue 2001.) In the first problem, we investigate the dynamics of three-dimensional overturning breaking waves. We obtain detailed kinematics and full quantification of three-dimensional effects upon wave plunging. Systematic simulations show that, compared to two-dimensional waves, three-dimensional waves generally break at higher surface elevations and greater maximum longitudinal accelerations, but with smaller tip velocities and less arched front faces. For the second problem, we study the generation mechanism of steep crescent waves. We show that the development of such waves is a result of three-dimensional (class II) Stokes wave instability. Starting with two-dimensional Stokes waves with small three-dimensional perturbations, we obtain direct simulations of the evolution of both L2 and L3 crescent waves. Our results compare quantitatively well with experimental measurements for all the distinct features and geometric properties of such waves.