基于对流与扩散效应的非正交曲线网格生成及三维潮流数值模拟  

Non-orthogonal curvilinear grids generation based on convection and diffusion function and the 3D simulation of tidal current

作　　者：黄惠明[1,2] 王义刚[1] 杨同军[1] 张薇娜[1] 

机构地区：[1]河海大学海岸灾害及防护教育部重点实验室,南京210098 [2]南京水利科学研究院,南京210029

出　　处：《水力发电学报》2014年第2期97-104,共8页Journal of Hydroelectric Engineering

基　　金：河海大学海岸灾害及防护教育部重点实验室开放基金(长江口北槽深水航道整治工程对盐水入侵影响研究);河海大学中央高校基本科研业务费项目(2011B06014);江苏省自然科学基金青年基金项目(BK2012411);南京水利科学研究院中央级公益性科研院所基本科研业务费专项(YN912001);国家科技支撑计划(2012BAB03B01)

摘　　要：非正交曲线网格具有类似非结构网格的灵活性,同时,基于非正交曲线网格的三维数学模型又具备高效、无条件稳定的优势。本文借鉴Cauchy-Riemann条件,引入表征对流强度与扩散强度之比的Peclet数,构造了生成非正交曲线网格的调节因子,将曲线网格与动力环境紧密联系。对调节因子的收敛性分析表明,实际问题中非正交曲线网格生成的收敛性可以保证。由此,利用长江口水下地形生成了具有多级分汊、多联通特点的非正交曲线网格,并就长江口的三维潮流场进行模拟。结果表明,基于Peclet数生成的非正交曲线网格在复杂河口的三维潮流数值模拟中适用性良好,且有利于局部复杂流态的模拟。Non-orthogonal curvilinear grids have the advantage of flexibility similar to unstructured grids and a 3D numerical model on such grids is superior in high efficiency and unconditional stability. This paper presents a method for generation of curvilinear grids that solves Possion equations and uses a general expression of grid adjusting factors based on Peclet numbers, following the application of Cauchy-Riemann conditions. An analysis on the structure of these factors shows that the convergence of grid generation calculation can be assured. We generated curvilinear grids and conducted 3D simulations of the tidal currents for a river reach featured with duplicated channels in the Yangtze estuary. Comparison of the observed and simulated tidal currents and water levels verified the calculations, and it shows a good agreement and the presented method＇s capability of improving simulation of complicated local regions.

关 键 词：计算水力学 三维潮流模拟 Peclet数 非正交曲线网格 调节因子 

分 类 号：TV131.4[水利工程—水力学及河流动力学]