Speaker: Ryan Holley, Graduate Student, Department of Mathematical Sciences
Date: Wednesday, October 27, 2021, 4:05 PM – 4:20 PM
Title: High-order WENO Schemes for Richtmyer-Meshkov Instability of
an air/SF_6 interface
Abstract: Turbulent mixing due to Richtmyer-Meshkov Instability (RMI) 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 RMI mechanism on these important problems. In this talk, we will present the algorithmic features used for the numerical simulations of RMI and the numerical effects of the high-order Weighted Essentially Non-Oscillatory (WENO) schemes on the two-dimensional RMI of an air/SF$_6$ interface. The single-mode shock-tube experiments of Collins and Jacobs (2002) are used to setup the initial conditions of our numerical simulations. The numerical simulations are performed using high-order WENO scheme to evaluate the asymptotic growth rate of the mixing zone. For validation and verification purpose, we compare our numerical results with experiment and investigate the convergence properties of flow fields under mesh refinement through three-level resolutions (coarse-medium-fine) before and after re-shock. We also study the effect of artificial compression method to the WENO scheme on the computation of shocks and contact discontinues.
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