二维及三维网格生成中疏密和正交性的控制技术

本文通过给定边界外第一条网格线与边界之间的距离及网格与边界的夹角,联立求解椭圆方程和边界处的源项方程,获得曲线、曲面、三维空间的贴体网格,并对以前网格生成中稳定性不佳的问题做了改进。生成的网格边界间距可调,正交性好,用于压气机和透平叶片的网格生成,结果令人满意。

Controlled Technology of the Density and the Orthogonality in 2-D and 3-D Grid Generation

A new method for numerically generating boundary-fitted coordinate systems in arbitrary shape three-dimensional region is presented. In the method, the control of the coordinate line distribution in the coordinate systems generated from partial differential equations is considered. The spacing of the coordinate lines to concentrate lines in the regions of large gradients and the intersection angles are taken as control parameters. The source terms of the Poisson's equations of generating curvilinear coordinate systems are automatically determined. In the numerical solution of governing partial differential equations, upwind relaxation technique is employed. It makes the scheme more diagonally dominant. The numerical examples show that the new algorithm has rapid convergence, that the grids generated by present method have adjustable density and good orthogonality near the boundary.