Numerical Modeling of Sea Waves
Numerical Modeling of Sea Waves
复制标题
海浪的数值模拟
DOI：
10.1007/978-3-319-32916-1
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
D. Chalikov
中科院分区：
文献类型：
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作者：
D. Chalikov
本文介绍了势近似下自由面流动的全方程表面波数值模型的特点、效率及其应用。对采用曲面跟踪坐标系的模型进行了较详细的描述。在这样的坐标系中，用于势的拉普拉斯方程变换成全椭圆方程，该全椭圆方程作为泊松方程求解，在右侧进行迭代。提出了基于分离成分析溶液及其偏差的求解方法。这种方法大大加快了计算速度。在稠密网格上，利用非线性项的计算，在两个水平方向的傅立叶域上求解了周期性问题。模拟了风和耗散作用下的波浪场发展。结果表明，基本积分特征的变换与已知数据具有满意的一致性。所有可能的应用程序开发的方法进行了说明。
The paper describes characteristics of numerical models of surface waves based on full equations for the flow with free surface in potential approximation, as well as their efficiency and applications. A more detailed description is given for the model using the surface following coordinate system. In such coordinate system Laplace equation for the potential transforms into a full elliptical equation that is solved as Poisson equations with iterations in the right-hand side. The method of solution based on separation into analytical solution and the deviation from it is offered. Such approach significantly accelerates the calculations. The problem on the whole is solved for the periodical in both horizontal directions Fourier domain using calculation of the nonlinear terms on a dense grid. The simulation of the wave field development under the action of wind and dissipation was carried out. It is demonstrated that transformation of the basic integral characteristics has a satisfactory agreement with the known data. All possible applications of the approach developed are described.