计算二维粘性流动的流线迭代法

The Method of Streamline-Iteration for Computing the Two-dimensional Viscous Flow

本文提出一种利用流线迭代法来计算任意形状流道中定常粘性层流流动的数值方法。通过任意非正交曲线网格中的压力梯度方程、能量方程和熵方程之间的迭代计算,可以得到整个流道中定常粘性可压缩(或不可压缩)流动的数值解。本文导出了二维(包括轴对称)流道中的基本方程,并详细地叙述了本方法的计算步骤。利用本方法对一些流道进行了数值计算,计算结果与其他巳知的数值解符合得很好。

This paper presents a numerical technique for computing the steady viscous laminar flow in the channel with arbitrary shape, by use of the method of streamline-iteration. The numerical solution of the steady viscous compressible (or incompressible) flow in the channel is obtained by iterative computation between the pressure gradient equation, the energy equation and the entropy equation in the mesh system of arbitrary curved lines. The present paper has derived the fundamentel equations for the two-dimensional (also axisymmetrical) channels and has described the computational steps of this method in details. Using the present method, we have obtained the results for some channels, which are in good agreement with the other known numerical solutions.