论文标题
由于空气的Richtmyer-Meshkov不稳定而导致的湍流混合验证和验证
Validation and Verification of Turbulence Mixing due to Richtmyer-Meshkov Instability of an air/SF$_6$ interface
论文作者
论文摘要
由于流体动力学不稳定性引起的湍流混合发生在广泛的科学和工程应用中，例如超新星爆炸和惯性限制融合。实验，理论和数值研究有助于我们了解这些重要问题中流体之间流体动力学不稳定界面的动力学。在本文中，我们为Richtmyer-Meshkov不稳定性（RMI）的数值模拟提供了一种越来越准确，强大的前线跟踪方法，以估计增长率。 Collins和Jacobs 2002的单模冲击试管实验两种事件冲击强度（$ M = 1.11 $和$ M = 1.21 $）用于验证RMI模拟。将基于经典的第五阶加权基本上是非振荡（WENO）的模拟（WENO），其与Yang的人工压缩的模拟与Collins和Jacobs 2002减震管实验进行了比较。我们在空气/sf $ _6 $接口的二维RMI上使用前面跟踪调查了分辨率效果。我们在仿真和实验之间的早期界面位移和振幅增长率上达成了很好的一致性，马赫数$ m = 1.11 $。在细网格模拟与Collins和Jacobs 2002的$ M = 1.21 $实验之间，观察到早期振幅的4％差异。
Turbulent mixing due to hydrodynamic instabilities occurs in a wide range of science and engineering applications such as supernova explosions and inertial confinement fusion. The experimental, theoretical and numerical studies help us to understand the dynamics of hydrodynamically unstable interfaces between fluids in these important problems. In this paper, we present an increasingly accurate and robust front tracking method for the numerical simulations of Richtmyer-Meshkov Instability (RMI) to estimate the growth rate. The single-mode shock tube experiments of Collins and Jacobs 2002 for two incident shock strengths ($M=1.11$ and $M=1.21$) are used to validate the RMI simulations. The simulations based on the classical fifth order weighted essentially non-oscillatory (WENO) scheme of Jiang and Shu 1996 with Yang's artificial compression are compared with Collins and Jacobs 2002 shock tube experiments. We investigate the resolution effects using front tracking with WENO schemes on the two-dimensional RMI of an air/SF$_6$ interface. We achieve very good agreement on the early time interface displacement and amplitude growth rate between simulations and experiments for Mach number $M=1.11$. A 4% discrepancy on early-time amplitude is observed between the fine grid simulation and the $M=1.21$ experiments of Collins and Jacobs 2002.
