复杂边界正交曲线网格生成技术  

Technique of orthogonal curvilinear grid generation for regions with complicated boundaries

作　　者：戎贵文[1,2] 魏文礼[1] 刘玉玲[1] 张沛[1] 

机构地区：[1]西安理工大学水利水电学院,陕西西安710048 [2]安徽理工大学地球与环境学院,安徽淮南232001

出　　处：《武汉大学学报（工学版）》2010年第4期454-457,共4页Engineering Journal of Wuhan University

基　　金：陕西省教育厅基金项目(编号:09JK649);中国博士后科学基金项目(编号:20090451163);陕西省重点学科建设专项项目

摘　　要：在采用Poisson方程进行曲线网格生成时,如何确定合适的调节因子P、Q函数是一个重要的研究内容.分析了Thompson的曲线网格生成方法中控制网格分布的调节函数的缺陷,经过严格推导得出了一组新的调节函数P、Q的表达式,并采用新调节函数生成曲线网格.网格实例表明,该调节函数能够对复杂边界的单连通域或多连通域生成理想的正交曲线网格,网格的尺寸与形状连续光滑地变化,网格线的光滑性和间距得到了有效的控制,网格分布能够适应物理量场变化的情形;正交曲线网格能够在实际水利工程流场数值模拟中准确地使用边界条件,从而提高其求解的精确度.It is very important for curvilinear grid generation to choose the appropriate adjustment factors（Pand Q）by using Poisson equations.This paper is concerned with some problems of adjusting functions in Thompson method for grid generation,and proposes a new expression of adjusting factors,by which the grids can be generated for a simple region and a multi-connected region with complicated boundaries.The curvilinear grid generation examples show that an orthogonal curvilinear grid can be generated;and that the curvilinear grids near boundaries are orthogonal;and the interior grids can be adaptive to the variation of physical parameters of fluid,size and shape of grids change continuously.The proposed method can accurately deal with the boundary conditions and improve the computation accuracy in numerical simulation of water velocity field.

关 键 词：POISSON方程 正交曲线网格 调节函数 

分 类 号：TV131[水利工程—水力学及河流动力学]