A hybrid method for modelling two dimensional non-breaking and breaking waves
A hybrid method for modelling two dimensional non-breaking and breaking waves
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DOI：
10.1016/j.jcp.2014.04.030
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发表时间：
2014-09
期刊：
影响因子：
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通讯作者：
V. Sriram;V. Sriram;Q. Ma;T. Schlurmann
中科院分区：
文献类型：
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作者：
V. Sriram;V. Sriram;Q. Ma;T. Schlurmann
本文首次将基于NS方程的改进无网格局部Petrov-Galerkin方法（IMLPG_R）与基于完全非线性势流理论（FNPT）的有限元方法（FEM）相结合，有效地模拟了波浪及其与海洋结构物的相互作用。这两个模型在空间和时间域中使用移动重叠区强烈耦合，其中来自两个求解器的信息被交换。在时域中，Runge-Kutta二阶方法嵌套有预测校正格式。在空间域中，引入了“进给粒子”和带松弛系数的两层粒子插值技术，实现了两个模型的鲁棒耦合。通过模拟规则波、孤立波和椭圆余弦波（包括破碎和越浪），检验了新混合模型的性能。通过与解析解、其他方法的计算结果以及实验数据的比较，验证了该方法的有效性。本文表明，该方法可以产生令人满意的结果，但使用更少的计算时间相比，基于全NS模型的方法。
This is the first paper to present a hybrid method coupling an Improved Meshless Local Petrov Galerkin method with Rankine source solution (IMLPG_R) based on the Navier–Stokes (NS) equations, with a finite element method (FEM) based on the fully nonlinear potential flow theory (FNPT) in order to efficiently simulate the violent waves and their interaction with marine structures. The two models are strongly coupled in space and time domains using a moving overlapping zone, wherein the information from both the solvers is exchanged. In the time domain, the Runge–Kutta 2nd order method is nested with a predictor–corrector scheme. In the space domain, numerical techniques including ‘Feeding Particles’ and two-layer particle interpolation with relaxation coefficients are introduced to achieve the robust coupling of the two models. The properties and behaviours of the new hybrid model are tested by modelling a regular wave, solitary wave and Cnoidal wave including breaking and overtopping. It is validated by comparing the results of the method with analytical solutions, results from other methods and experimental data. The paper demonstrates that the method can produce satisfactory results but uses much less computational time compared with a method based on the full NS model.