Box法用于三维边界层计算的数值稳定性分析

NUMERICAL STABILITY ANALYSIS IN 3-D BOUNDARY LAYER CALCULATION WITH BOX METHOD

本文对 Box法用于三维边界层计算的数值稳定性做了 Neumman分析 ,并借助于数值计算 ,证实了目前公认的一些稳定性问题和三维边界层计算中所发现的现象 ,得到了一些有参考价值的结论。

The authors have proved that the Box method is unstable in three dimensional boundary layer calculation although it is stable in two dimensional boundary layer calculations.The Neumman stability analysis method has been applied to dealing with this problem.But the stablity equation obtained is too complex to solve analytically,so the numerical computations have been proposed,and some valuable conclusions have been drawn.The results are in accordance with the phenomena that occured in three dimensional boundary layer calculations with Box method.