激波运动与反射流场的ENO算法

NUMERICAL SIMULATION OF NON-STATIONARY REFLECTION AND DIFFRACTION OF MOVING SHOCK BY ENO SCHEME

在ＴＶＤ格式的基础上，以修正限制函数的方法，将通常的ＴＶＤ格式改造为性能更为优越的ＥＮＯ格式，并利用这种有限差分格式求解欧拉方程和薄层Ｎ－Ｓ方程。分别数值模拟了激波管中运动激波与三种楔形物体相互作用流场；给出了激波在不同物体上的反射及波涡干扰过程中非定常流场的变化情况；算出的波系结构与在ＣＡＲＤＣ小型激波管中做的相关实验结果一致。

The propagation and diffraction of shock wave past obstacles have been received considerable attention for many years. To simulate this kind of flowfields nummerically by high order accurate ENOschemes and compare with experiments are still very important both fordeveloping CFD and studying the fundamental gas dynamics.Unlike the earlier TVD schemes, which drop to first-order accuracyat the points of extrema, the ENO schemes are of uniformly high-orderaccuracy. In this paper, the ENO schemes are developed and employed tosimulate the interactions of moving shock wave with obstales in shock tubeby solving Euler and N-S equations.At the same time, the corresponding experiments have also been performed in a small shock tube in CARDC. The pictures of experimentresults indicate good agreement with the numerical results.