两种高分辨率数值方法计算波前有非均匀流的变截面管内激波传播规律的比较

本文采用两种对间断解具有高分辨率的数值方法基于推广Riemann问题解的二阶Godunov型有限差分法和分裂算子的随机选取法,计算了微波在波前有非均匀定常流的一维变截面管道中的传播和波后流场特征,得到一致结果,用数值模拟方法揭示了这类运动的一些特殊规律。对比两种方法的计算过程和结果,可以看出,二阶Godunov型方法明显优于随机选取法。

COMPARISON OF TWO KINDS OF NUMERICAL METHODS WITH HIGH RESOLUTION FOR CALCULATING THE SHOCK WAVE PROPAGATING DOWN A VARIABLE AREA TUBE

In this paper, two numerical methods with high resolution to discontinuity-the second-order Godunov-type scheme of finite difference methods on the basis of solutions of GRP (Generalized Riemann problem) and the random choice method with an operator-splitting technique are used to calculate the shock propagation down an variable area tube with a nonuniform steady flow behind the shock. Basically, the same results and some special motion rules are obtained. However, the calculating procedure and numerical results indicate that the Second-order Godunov-type scheme is better than the random choice method.