A general boundary-fitted 3D non-hydrostatic model for nonlinear focusing wave groups

A general boundary-fitted 3D non-hydrostatic model for nonlinear focusing wave groups
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非线性聚焦波群的通用边界拟合 3D 非静水模型

DOI:
10.1016/j.oceaneng.2014.08.002
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发表时间:
2014-10
期刊:
影响因子:
5
通讯作者:
Jin, Sheng
Jin, Sheng
中科院分区:
工程技术2区
文献类型:
--
作者:
Ai, Congfang;Ding, Weiye;Jin, Sheng

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本文采用三维非静力模式模拟非线性聚焦波群。非静力模型采用显式投影法求解Navier-Stokes方程。为了准确地模拟陡峭的自由表面参与聚焦波,该模型是建立在一个通用的边界拟合坐标系。这种网格系统允许一个很大的适应性的垂直离散,同时保持边界拟合性能,更好地拟合床和自由表面。通过两个非线性波的算例,包括非线性驻波和二维聚焦畸形波,验证了一般边界拟合模型的优越性。利用该模型模拟了深、中水深二维聚焦波和深水三维聚焦波。通过与实验数据的对比,模型结果较好地再现了二维深水聚焦波、二维中层水聚焦波和三维深水聚焦波的主要特征,表明模型具有分辨二维或三维聚焦波群的能力。此外,在二维中间水聚焦波的实验中,还对聚焦位置和时间的向下游移动进行了数值研究,这在实验中是没有的。
This paper employs a three-dimensional (3D) non-hydrostatic model to simulate nonlinear focusing wave groups. The non-hydrostatic model utilizes an explicit projection method to solve the Navier–Stokes equations. To accurately simulate the steep free surface involved in focusing waves, the model is built upon a general boundary-fitted coordinate system. This grid system allows for a great adaptability of the vertical discretization and meanwhile maintains the boundary-fitted properties of better fitting the bed and free surface. The advantage of the general boundary-fitted model is first validated by two test cases of nonlinear waves, including nonlinear standing waves and two-dimensional (2D) focusing freak wave. Then, the model is applied to simulate 2D focusing waves in deep and intermediate-water depths and 3D focusing waves in deep-water depth. By comparing with experimental data, the model results well reproduce the main characteristics of 2D deep-water focusing waves and 2D intermediate-water focusing waves as well as 3D deep-water focusing waves, demonstrating the model׳s capability to resolve 2D or 3D focusing wave groups. Furthermore, in the test of 2D intermediate-water focusing waves, the downstream shifting of the focusing position and time is also studied numerically, which is not presented in the experiments.
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