A numerical study of nonlinear wave run-up on a vertical plate
A numerical study of nonlinear wave run-up on a vertical plate
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DOI：
10.1016/j.coastaleng.2006.06.004
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发表时间：
2006-11
影响因子：
4.4
通讯作者：
E. Jamois;D. Fuhrman;H. Bingham;B. Molin
中科院分区：
文献类型：
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作者：
E. Jamois;D. Fuhrman;H. Bingham;B. Molin
一个有限差分模型的基础上最近推导出的高精度Boussinesq型配方。直到三阶空间导数的速度变量被保留，和水平速度变量被重新制定的速度潜力。这将两个水平维度中的未知数总数从七个减少到五个，简化了实现，并提高了计算效率。嵌入属性的分析表明，所得到的模型具有的应用与误差为2至3%的（波数乘以深度）kh≤10的色散和kh≤4的内部运动学。离散线性化系统的稳定性和精度也分析了潜在的和速度的配方和各自的优点和缺点进行了讨论。速度势模型，然后用于研究物理要求高的问题，涉及高度非线性波运行的底部安装（表面穿透）板。新的情况下，涉及斜入射被认为是。在所有情况下，与最近的物理实验的比较表明良好的定量精度，即使在最苛刻的情况下，当地波陡度可以超过（波高除以波长）H/L=0.20。另外，速度势模型具有数值优势时，处理波结构的相互作用，需要较少的平滑周围的外部结构的角落。
A finite difference model based on a recently derived highly-accurate Boussinesq-type formulation is presented. Up to the third-order space derivatives in terms of the velocity variables are retained, and the horizontal velocity variables are re-formulated in terms of a velocity potential. This decreases the total number of unknowns in two horizontal dimensions from seven to five, simplifying the implementation, and leading to increased computational efficiency. Analysis of the embedded properties demonstrates that the resulting model has applications with errors of 2 to 3% for (wavenumber times depth) kh≤10 in terms of dispersion and kh≤4 in terms of internal kinematics. The stability and accuracy of the discrete linearised systems are also analysed for both potential and velocity formulations and the advantages and disadvantages of each are discussed. The velocity potential model is then used to study physically demanding problems involving highly nonlinear wave run-up on a bottom-mounted (surface-piercing) plate. New cases involving oblique incidence are considered. In all cases, comparisons with recent physical experiments demonstrate good quantitative accuracy, even in the most demanding cases, where the local wave steepness can exceed (waveheight divided by wavelength) H/L=0.20. The velocity potential model is additionally shown to have numerical advantages when dealing with wave–structure interactions, requiring less smoothing around exterior structural corners.