Numerical simulation of wave-induced laminar boundary layers
Numerical simulation of wave-induced laminar boundary layers
复制标题
波致层流边界层的数值模拟
DOI：
10.1016/j.coastaleng.2007.12.005
复制
发表时间：
2008-05
期刊：
影响因子：
--
通讯作者：
Zhang, W.
中科院分区：
文献类型：
--
作者：
Lin, P.;Zhang, W.
本文将σ坐标变换的三维数值模式应用于水面波浪和波浪层流边界层的数值模拟。与以往大多数研究中求解简化的一维边界层运动方程并忽略边界层与外流之间的相互作用不同，本模型求解了从底部到自由面的整个区域内的完整Navier-Stokes方程。在垂直方向采用非均匀网格系统来处理薄边界层。考虑了线性波、斯托克斯波、椭圆余弦波和孤立波。数值结果进行了比较，解析解和现有的实验数据。数值计算结果与实验数据吻合良好。结果表明，解析解对线性波和Stokes波都是精确的，但对椭圆余弦波和孤立波则不够精确。其原因可能是现有的椭圆余弦波和孤立波的解析解采用了自由流速度的一阶近似，从而高估了近底速度。除速度外，本模型还提供了波浪引起的床面切应力的精确结果。
The three-dimensional numerical model with σ-coordinate transformation in the vertical direction is applied to the simulation of surface water waves and wave-induced laminar boundary layers. Unlike most of the previous investigations that solved the simplified one-dimensional boundary layer equation of motion and neglected the interaction between boundary layer and outside flow, the present model solves the full Navier–Stokes equations (NSE) in the entire domain from bottom to free surface. A non-uniform mesh system is used in the vertical direction to resolve the thin boundary layer. Linear wave, Stokes wave, cnoidal wave and solitary wave are considered. The numerical results are compared to analytical solutions and available experimental data. The numerical results agree favorably to all of the experimental data. It is found that the analytical solutions are accurate for both linear wave and Stokes wave but inadequate for cnoidal wave or solitary wave. The possible reason is that the existing analytical solutions for cnoidal and solitary waves adopt the first-order approximation for free stream velocity and thus overestimate the near bottom velocity. Besides velocity, the present model also provides accurate results for wave-induced bed shear stress.
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DOI：
--
发表时间：
1982
期刊：
--
影响因子：
--
作者：
S. Borghei
通讯作者：
S. Borghei
影响因子：
2.4
作者：
Hitoshi Tanaka;B. Sumer;C. Lodahl
通讯作者：
Hitoshi Tanaka;B. Sumer;C. Lodahl
影响因子：
3.7
作者：
P. Liu;Y. Park;E. Cowen
通讯作者：
P. Liu;Y. Park;E. Cowen
影响因子：
2.4
作者：
Sing-Kwan Lee;K. Cheung
通讯作者：
Sing-Kwan Lee;K. Cheung
影响因子：
3.7
作者：
R. Grimshaw
通讯作者：
R. Grimshaw