正交数值网格的生成及平面二维流场的数值模拟  

A method to generate body-fitted grids orthogonally and the numerical simulation of two-D flow fields

作　　者：于曰旻[1] 沈永明[2] 吴修广[1] 唐军[2] 

机构地区：[1]浙江省水利河口研究院,杭州310020 [2]大连理工大学海岸和近海工程国家重点实验室,大连116023

出　　处：《计算力学学报》2008年第1期90-93,共4页Chinese Journal of Computational Mechanics

基　　金：国家重点基础研究发展(973)计划项目(2005CB724202);辽宁省自然科学基金(20062170)资助项目

摘　　要：提出了一种边界正交曲线网格的生成方法。在内域,求解拉普拉斯方程组生成二维正交曲线网格;在计算域边界,提出了正交曲线网格边界正交化处理的分段拉格朗日插值边界滑动法,并对控制方程N-S方程进行曲线坐标变换,使用SIMPLEC算法求解曲线坐标下的k-ε双方程湍流模型。文中以长江重庆九龙坡弯道河段正态模型为资料进行验证,计算了流场,数值模拟结果与实测结果吻合较好。This paper describes a method for generating body-fitted grid intersecting orthogonally boundary. The Laplace equation is applied to get two-dimensional orthonormal curvilinear grid inside the computational domain, and the subsection Lagrange interpolation boundary slide method of boundary orthogonalized of orthonormal curvilinear grid is put forward and used on boundaries of computational domain in the paper. The N-S equations are changed through curvilinear coordinate transformation. The turbulence model of double k-ε equations curvilinear coordinate was solved through SIMPLEC algorithm. The method is tested through a physical model of section of Yangtze River near the Chongqing city,and the results are quite satisfaction.

关 键 词：正交曲线网格 曲线坐标 k-ε湍流模型 

分 类 号：TV131[水利工程—水力学及河流动力学]