偏微分方程网格生成技术中非线性系数的研究

Study on non-linear factors in grid generation equations (PDE)

网格生成技术是ＣＦＤ中极为关键的问题之一，偏微分方程数值网格生成技术是目前应用和研究最多的网格生成方法。本文就方程中非线性系数对网格正交性和空间分布的影响进行了理论研究和数值验证，结果表明系数β具有控制网格正交性的作用，系数和具有调节网格空间分布的作用，且其调节作用的强弱和与的值有直接关系。

Grid generation is one of the key problems in CFD and the numerical grid geriera-tion technique using PDE is widely used and frequently studied. In the paper the non-linearfactors in grid generation equation (PDE) are well studied, the theoretical and numerical resultsshowing that the factors have influences on the grid spacing and orthogonality, i.e. the factor can be used to control the grid orthogonality, factor or can be used to control the gridspacing, and the strength and functions of spacing controlling are directly connected with theratio of to