An efficient and accurate non‐hydrostatic model with embedded Boussinesq‐type like equations for surface wave modeling
An efficient and accurate non‐hydrostatic model with embedded Boussinesq‐type like equations for surface wave modeling
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DOI：
10.1002/fld.1876
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发表时间：
2009-05
影响因子：
1.8
通讯作者：
C. Young;Chin H. Wu
中科院分区：
文献类型：
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作者：
C. Young;Chin H. Wu
提出了一种新的方法，将类Boussinesq型方程嵌入隐式非流体静力模型（NHM）。本文采用虚拟网格系统下具有参考速度的类Boussinesq型方程来解析求得顶层压力分布的解析形式，而不是采用积分方法。为了确定模型中垂直层的大小，提出了一种顶层控制技术，并采用参考位置来优化线性波的色散特性。通过四个自由表面波的例子，严格检验了这种具有Boussinesq型方程（NHM - BTE）的NHM的效率和准确性。整体模型结果表明，NHM - BTE仅使用两个垂直层就能够准确地模拟不规则水深上的高色散波运动和波变换。版权所有©2008 John Wiley & Sons， Ltd
A novel approach that embeds the Boussinesq‐type like equations into an implicit non‐hydrostatic model (NHM) is developed. Instead of using an integration approach, Boussinesq‐type like equations with a reference velocity under a virtual grid system are introduced to analytically obtain an analytical form of pressure distribution at the top layer. To determine the size of vertical layers in the model, a top‐layer control technique is proposed and the reference location is employed to optimize linear wave dispersion property. The efficiency and accuracy of this NHM with Boussinesq‐type like equations (NHM‐BTE) are critically examined through four free‐surface wave examples. Overall model results show that NHM‐BTE using only two vertical layers is capable of accurately simulating highly dispersive wave motion and wave transformation over irregular bathymetry. Copyright © 2008 John Wiley & Sons, Ltd.