二维任意区域贴体曲线坐标的弧长参数生成法

为了求解飞机和发动机这类极其复杂的流场 ,首先必须发展一种快速、有效和灵活的贴体曲线坐标生成法。目前存在着多种贴体曲线坐标的自动生成法 ,其中尤以椭圆形偏微分方程生成法应用最广。然而 ,对极其复杂的区域 ,微分方程生成法呈现了如下缺点 ,使其应用受到一定限制。1.控制函数 (源项 )很难选择 ;2 .分块后很难使网格曲线在拼接处光滑 ;3.对局部加密的网格收敛很慢 1 ]。为了克服这些缺点 ,人们已想过许多办法 ,例如对控制函数进行加权平均或对已生成的网格曲线进行光顺 1、2 ]。虽然这些方法解决了一些具体矛盾 ,但并没有从根本上克…

AN EFFICIENT 2D-GRID GENERATION APPROACH USING ARC-LENGTH AS A PARAMETER

A fast and efficient grid generation program has been developed for any two-dimensional configurations.In this scheme,the separate grids are generated in each zone with a high speed algorithm which makes the ratio of the coordinate increments satisfy a linear distribution along arc-length of a grid curve,and then they smoothly joined along the common boundaries to establish the grid for the complex configuration.The advantages of the scheme are as follows:First,the mesh lines have continuous slopes from one zone to another;Second,the degree of the mesh lines clustering can be well controlled by the distribution of the boundary points;And the third,the computational speed is ten and even several hundred times faster than the elliptic grid generation scheme which has been widely used nowadays.