非结构化网格下大范围波浪的折绕射计算

从含流缓坡方程出发,推导出光程函数方程。采用基于非结构化网格下的有限体积法对光程函数方程和波作用守恒方程进行数值离散和联合求解,从而构建了一个考虑绕射的计算近岸大范围波浪传播过程的数值模型。模型的空间步长不再受制于波长的限制,同时非结构化网格可以很好地拟合复杂岸线变形。模型分别通过了施奈尔定律、直立防波堤后的波浪绕射和圆形浅滩上的波浪变形验证,结果表明,该数值模式能有效模拟复杂边界条件和大范围水域下近岸波浪的传播过程中的折射和绕射等变形。

Numerical simulation of wave refraction-diffraction over the large-scale region on unstructured meshes

Using finite-volume method on unstructured meshes,a new numerical model was built based on the discretization and numerical solution of the wave action balance equation and the eikonal equation derived from the extended mild-slope equation,which was fit to simulate wave diffraction over the large-scale nearshore region.The model spatial resolution was independent of the wavelength,and provided great flexibility for modeling the wave in complex geomorphology with complicated boundary using the unstructured meshes.This solution was verified by three idealized benchmark test as the Snell law,the wave transformation over a vertical breakwater and the wave distortion on circular shoal.Results demonstrated that the present model could provide better predictions of wave refraction and diffraction over the large-scale nearshore region with complicated boundaries.