线性椭圆型方程的数值网格生成方法

用椭圆方程生成的数值网格是一种贴体网格；传统的网格生成方法需求解一组非线性的椭圆型偏微分方程，非线性椭圆型方程的求解非常困难且精度以影响，本文对此进行了深入的理论研究，提出了“用求解线性的椭圆型方程直接生成贴体网格”的新方法；新方法简单且易于实现，并从理论上克服了传统方法存在的不足，因此，它对计算流体力学的发展具有一定的理论意义和实用价值。

Generation of Numerical Grid System by Linear Elliptical Equations

Numerical grids generated by solvi ng elliptical equations are boundary-fitted. Traditional techniques solve a set o f nonlinear elliptical equations to generate this kind of grid. This paper prese nts a theoretical research to overcome the difficulty and improve the accuracy i n solving nonlinear equations. A new technique is proposed in this paper, which creates the fitted grid by solving linear elliptical equations directly instead of nonlinear equations. Thus the method is simpler and easier in use. The new te chnique is practically applicable and theoretically important in the area of com putational fluid mechanics.