自适应网格下的近岸波浪缓坡方程数值模型

发布时间：2018-03-26 22:05

本文选题：数值模拟　切入点：缓坡方程　出处：《水运工程》2017年01期

【摘要】：在近岸变水深缓坡海域,充分考虑到波浪传播过程中的折射、绕射、反射以及波浪破碎等效应,采用引入破碎项的椭圆型缓坡方程,基于自适应四叉树网格建立了近岸波浪缓坡方程的数值模型,数值模型采用有限体积法求解。该网格可根据计算节点处波长与网格尺寸间的关系自动判定是否进行网格加密划分,使之适应椭圆型缓坡方程每个波长范围内至少布置8个计算节点的特征,提高计算精度的同时又能提高计算效率。采用已有的物理模型试验和实测资料对数值模型进行了验证。结果表明,该模型可以有效地模拟近岸变水深缓坡海域波浪传播。
[Abstract]:Considering the effects of refraction, diffraction, reflection and wave breakage during wave propagation, the elliptical gentle slope equation with breakage term is adopted in the inshore variable depth gentle slope area. Based on adaptive quadtree grid, a numerical model of inshore wave gentle slope equation is established. The numerical model is solved by the finite volume method, which can automatically determine whether the mesh is encrypted or not according to the relationship between the wavelength at the node and the mesh size. It adapts to the characteristics of at least eight computing nodes arranged in each wavelength range of the elliptic gentle slope equation. The numerical model is verified by the existing physical model test and measured data. The results show that the model can effectively simulate the wave propagation in the inshore variable depth gentle slope area.
【作者单位】：大连理工大学海岸和近海工程国家重点实验室;江苏省苏州市航道管理处;
【基金】：国家自然科学基金项目(51579036,51579030) 国家重点基础研究发展计划资助项目(2013CB430403)
【分类号】：P731.22

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