二维会聚波在气体内传播不稳定性的数值模拟

Numerical simulation of instability of two-dimensional convergent shock wave propagating in gas

1.
National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, Sichuan, China

摘要: 利用CE/SE(conservation element and solution element )格式研究了柱面会聚波在气体中传播时间断面的不稳定问题和波阵面的演变问题，并利用level set函数追踪了驱动气体与低压气体间断面的发展过程。得到了间断面的Rayleigh-Taylor(R-T)和Richtmyer-Meshkov(R-M)不稳定性发展成典型的尖钉和气泡结构的图像，初始正弦扰动下的会聚波产生尖角和尖瓣结构。结果表明，CE/SE格式在涉及会聚波的数值计算中是可行的。
- 流体力学 /
- Rayleigh-Taylor不稳定性 /
- CE/SE方法 /
- 会聚波 /
- level set方程
Abstract: The discontinuity instability and wave front evolution of a cylindrical convergent shock wave propagating in gas were simulated by the CE/SE scheme. The evolution of the interface between the high-pressure driving gas and the low-pressure driven gas was revealed by the level set method. Both the typical spire and bubble discontinuity patterns due to Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instability, and the polygon and petal patterns developed from the initial sine convergent shock wave were obtained. Results demonstrate that the CE/SE scheme is feasible in numerical simulation involving convergent shock wave propagation.
- fluid mechanics /
- Rayleigh-Taylor instability /
- CE/SE scheme /
- convergent shock wave /
- level set equation