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A comparison of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability growth

Latini, Marco and Schilling, Oleg (2020) A comparison of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability growth. Physica D, 401 . Art. No. 132201. ISSN 0167-2789. https://resolver.caltech.edu/CaltechAUTHORS:20190919-113941696

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Abstract

The growth dynamics of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability are compared systematically using data from high-resolution implicit large-eddy simulations of a model of the Mach 1.3 air(acetone) and sulfur hexafluoride (Jacobs and Krivets, 2005) shock tube experiment. The vorticity deposition by the incident shock and the dynamics of interface evolution are examined quantitatively and qualitatively. The perturbation amplitudes from the two- and three-dimensional simulations are compared to the experimental data and to the predictions of several nonlinear instability growth models. It is shown that the perturbation amplitudes from the two- and three-dimensional simulations with matching initial Richtmyer velocity are in excellent agreement with the experimental data. In addition, the dynamics of reshock (not considered in the experiment) are described in detail, and the post-reshock mixing layer amplitude growth rate is compared to the predictions of several reshock models. It is shown that using two-dimensional simulations to understand three-dimensional dynamics is valid only at early-to-intermediate times before reshock; at intermediate-to-late times after reshock the three-dimensional growth is generally larger than the corresponding two-dimensional growth. The reshock dynamics are also different between two and three dimensions. The quantitative results, together with visualizations of the flow field, were also used to contrast the difference between two- and three-dimensional vorticity and enstrophy dynamics.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.physd.2019.132201DOIArticle
Additional Information:© 2019 Elsevier. Received 21 June 2019, Revised 25 August 2019, Accepted 12 September 2019, Available online 19 September 2019. This work is dedicated to honoring the exemplary scientific career of David L. Youngs. This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344. This document was prepared as an account of work sponsored by an agency of the United States government. Neither the United States government nor Lawrence Livermore National Security, LLC, nor any of their employees makes any warranty, expressed or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States government or Lawrence Livermore National Security, LLC. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States government or Lawrence Livermore National Security, LLC, and shall not be used for advertising or product endorsement purposes.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC52-07NA27344
Subject Keywords:Richtmyer–Meshkov instability; Reshock; Nonlinear instability growth models; WENO method
Record Number:CaltechAUTHORS:20190919-113941696
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190919-113941696
Official Citation:Marco Latini, Oleg Schilling, A comparison of two- and three-dimensional single-mode reshocked Richtmyer–Meshkov instability growth, Physica D: Nonlinear Phenomena, Volume 401, 2020, 132201, ISSN 0167-2789, https://doi.org/10.1016/j.physd.2019.132201. (http://www.sciencedirect.com/science/article/pii/S0167278919303756)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98747
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:19 Sep 2019 19:18
Last Modified:07 Oct 2019 17:13

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