Accuracy of depth-integrated nonhydrostatic wave models
Accuracy of depth-integrated nonhydrostatic wave models
复制标题
深度积分非静水波模型的精度
DOI：
10.1016/j.oceaneng.2017.12.015
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发表时间：
2018-02
影响因子：
5
通讯作者：
梁秋华
中科院分区：
文献类型：
--
作者：
王岗;郑金海;梁秋华
深度积分非流体静力模型已被广泛用于模拟波浪的传播。然而，目前还缺乏一个记录良好的理论框架，可以用来评估这些模型和相关数值方法的准确性和应用范围。在这项工作中，我们进行了stokes型傅立叶和浅滩分析，以检查由Stelling和Zijlema（2003）导出的一种流行的单层深度积分非流体静力模型的线性和非线性特性。理论分析表明，该模型能较好地解释线性波的频散性，但对于非线性解，即使当kd→0时，该模型也有明显的发散性。然后推导并分析了一个以任意高程为变量的广义深度积分非流体静力公式，以检验在以前的研究中忽略平流和扩散非线性项的影响，并探索波传播数值解的可能改进。与以往的研究相比，新的广义公式具有相似的分散关系和更好的浅滩效应。然而，非线性性能没有明显改善，这表明保留被忽略的非线性项可能不会显著改善非流体静力模型的非线性性能。进一步分析表明，在静水位的三分之一处定义变量可以改善深度积分非静力公式的非线性特性。然而，这种改进是以降低描述分散和浅滩特性的准确性为代价的。
Depth-integrated nonhydrostatic models have been wildly used to simulate propagation of waves. Yet, there lacks a well-documented theoretical framework that can be used to assess the accuracy and scope of applications of these models and the related numerical approaches. In this work, we carry out Stokes-type Fourier and shoaling analyses to examine the linear and nonlinear properties of a popular one-layer depth-integrated nonhydrostatic model derived by Stelling and Zijlema (2003). The theoretical analysis shows that the model can satisfactorily interpret the dispersity for linear waves but presents evident divergence for nonlinear solutions even whenkd→ 0. A generalized depth-integrated nonhydrostatic formulation using arbitrary elevation as a variable is then derived and analyzed to examine the effects of neglecting advective and diffusive nonlinear terms in the previous studies and explore possible improvements in numerical solutions for wave propagation. Compared with the previous studies, the new generalized formulation exhibits similar dispersion relationship and improved shoaling effect. However, no significant improvement is presented for the nonlinear properties, indicating that retaining neglected nonlinear terms may not significantly improve the nonlinear performance of the nonhydrostatic model. Further analysis shows that the nonlinear properties of the depth-integrated nonhydrostatic formulation may be improved by defining variables at one-third of the still water level. However, such an improvement comes at the price of decreasing accuracy in describing dispersion and shoaling properties.
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影响因子：
1.8
作者：
C. Young;Chin H. Wu
通讯作者：
C. Young;Chin H. Wu
影响因子：
1.8
作者：
Hengliang Yuan;Chin H. Wu
通讯作者：
Hengliang Yuan;Chin H. Wu
影响因子：
1.8
作者：
A. Ahmadi;P. Badiei;M. Namin
通讯作者：
A. Ahmadi;P. Badiei;M. Namin
影响因子：
1.8
作者：
Y. Yamazaki;K. Cheung;Z. Kowalik
通讯作者：
Y. Yamazaki;K. Cheung;Z. Kowalik
DOI：
10.1142/5740
发表时间：
2005-12
期刊：
--
影响因子：
--
作者：
I. A. Svendsen
通讯作者：
I. A. Svendsen