王平,张宁川.非结构化网格下大范围波浪的折绕射计算[J].计算力学学报,2015,32(1):14~20,26 |
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非结构化网格下大范围波浪的折绕射计算 |
Numerical simulation of wave refraction-diffraction over the large-scale region on unstructured meshes |
投稿时间:2013-05-30 修订日期:2013-06-12 |
DOI:10.7511/jslx201501003 |
中文关键词: 波浪传播 大范围 非结构化网格 折射 绕射 |
英文关键词:wave transformation large-scale unstructured meshes refraction diffraction |
基金项目:国家自然科学青年基金(141406119)资助项目. |
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中文摘要: |
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. |
英文摘要: |
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. |
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