A new fully non-hydrostatic 3D free surface flow model for water wave motions
A new fully non-hydrostatic 3D free surface flow model for water wave motions
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DOI：
10.1002/fld.2317
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发表时间：
2011-08-20
影响因子：
1.8
通讯作者：
Lv, Biao
中科院分区：
文献类型：
--
作者：
Ai, Congfang;Jin, Sheng;Lv, Biao
通过在垂直边界拟合坐标系上模拟三维自由表面流，提出了一种新的完全非流体静力模型。投影法（称为压力校正技术）用于求解不可压缩欧拉方程。在水平笛卡尔网格框架和垂直边界拟合坐标系下提出了一种新的网格布置。得到的模型相对简单。此外，用于压力校正的离散泊松方程是对称且正定的，因此可以通过预条件共轭梯度法有效地求解。使用几个表面波运动测试案例来证明模型的功能和数值稳定性。给出了数值结果与分析或实验数据之间的比较。结果表明，该模型能够准确有效地求解仅两层的短波运动，其中存在波浅滩、非线性、色散、折射和衍射现象。版权所有 (C) 2010 约翰·威利父子有限公司
A new fully non-hydrostatic model is presented by simulating three-dimensional free surface flow on a vertical boundary-fitted coordinate system. A projection method, known as pressure correction technique, is employed to solve the incompressible Euler equations. A new grid arrangement is proposed under a horizontal Cartesian grid framework and vertical boundary-fitted coordinate system. The resulting model is relatively simple. Moreover, the discretized Poisson equation for pressure correction is symmetric and positive definite, and thus it can be solved effectively by the preconditioned conjugate gradient method. Several test cases of surface wave motion are used to demonstrate the capabilities and numerical stability of the model. Comparisons between numerical results and analytical or experimental data are presented. It is shown that the proposed model could accurately and effectively resolve the motion of short waves with only two layers, where wave shoaling, nonlinearity, dispersion, refraction, and diffraction phenomena occur. Copyright (C) 2010 John Wiley & Sons, Ltd.