@Article{IJNAM-19-822,
author = {Kaman , Tulin and Holley , Ryan},
title = {Validation and Verification of Turbulence Mixing Due to Richtmyer-Meshkov Instability of an Air/SF$_6$ Interface},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2022},
volume = {19},
number = {6},
pages = {822--838},
abstract = {<p style="text-align: justify;">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 [1] 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 [2] with Yang’s artificial compression [3] 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 ${\rm air}/SF_6$ 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.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/21035.html}
}