亚临界角下的急流冲击波快速收敛计算方法

Fast-convergent computational method for torrent shock wave under subcritical angle condition

在 Ippen冲击波理论的基础上 ,给出了一个冲击波附体的亚临界角条件。为了克服图解法 ,简化式法和尝试法的不足 ,针对亚临界角条件下的急流冲击波 ,给出了一种快速迭代计算方法 ,本文证明了计算方法的收敛性 ,并分析指出方法的收敛速度至少是二阶的。由于该迭代计算方法具有计算简便 ,收敛速度快的特点 ,故不仅适合于编程计算 。

On the basis of Ippen's shock wave theory, a subcritical angle condition for shock wave attaching was obtained. For overcoming the shortcomings of graphical solution, simplification formulas and trial and error procedure, a fast convergent computational method for the torrent shock wave under subcritical angle condition was proposed. The convergence of the computational method was proved, and the order of the convergence rate was shown to be 2 at least. The iterative computational method has the merits of computing convenience and converging quickly, so it is suitable not only for programming, but also for hand operating.