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Title: Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder

Abstract

Two-dimensional numerical simulations of the Richtmyer–Meshkov unstable “shock-jet” problem are conducted using both large-eddy simulation (LES) and unsteady Reynolds-averaged Navier–Stokes (URANS) approaches in an arbitrary Lagrangian–Eulerian hydrodynamics code. Turbulence statistics are extracted from LES by running an ensemble of simulations with multimode perturbations to the initial conditions. Detailed grid convergence studies are conducted, and LES results are found to agree well with both experiment and high-order simulations conducted by Shankar et al. (Phys Fluids 23, 024102, 2011). URANS results using a k–L approach are found to be highly sensitive to initialization of the turbulence lengthscale L and to the time at which L becomes resolved on the computational mesh. As a result, it is observed that a gradient diffusion closure for turbulent species flux is a poor approximation at early times, and a new closure based on the mass-flux velocity is proposed for low-Reynolds-number mixing.

Authors:
 [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1313559
Report Number(s):
LLNL-JRNL-659268
Journal ID: ISSN 0938-1287
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Shock Waves
Additional Journal Information:
Journal Volume: 26; Journal Issue: 4; Journal ID: ISSN 0938-1287
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Richtmyer–Meshkov instability; turbulent mixing; Large-eddy simulation

Citation Formats

Morgan, B. E., and Greenough, J. A. Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder. United States: N. p., 2015. Web. doi:10.1007/s00193-015-0566-3.
Morgan, B. E., & Greenough, J. A. Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder. United States. https://doi.org/10.1007/s00193-015-0566-3
Morgan, B. E., and Greenough, J. A. 2015. "Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder". United States. https://doi.org/10.1007/s00193-015-0566-3. https://www.osti.gov/servlets/purl/1313559.
@article{osti_1313559,
title = {Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder},
author = {Morgan, B. E. and Greenough, J. A.},
abstractNote = {Two-dimensional numerical simulations of the Richtmyer–Meshkov unstable “shock-jet” problem are conducted using both large-eddy simulation (LES) and unsteady Reynolds-averaged Navier–Stokes (URANS) approaches in an arbitrary Lagrangian–Eulerian hydrodynamics code. Turbulence statistics are extracted from LES by running an ensemble of simulations with multimode perturbations to the initial conditions. Detailed grid convergence studies are conducted, and LES results are found to agree well with both experiment and high-order simulations conducted by Shankar et al. (Phys Fluids 23, 024102, 2011). URANS results using a k–L approach are found to be highly sensitive to initialization of the turbulence lengthscale L and to the time at which L becomes resolved on the computational mesh. As a result, it is observed that a gradient diffusion closure for turbulent species flux is a poor approximation at early times, and a new closure based on the mass-flux velocity is proposed for low-Reynolds-number mixing.},
doi = {10.1007/s00193-015-0566-3},
url = {https://www.osti.gov/biblio/1313559}, journal = {Shock Waves},
issn = {0938-1287},
number = 4,
volume = 26,
place = {United States},
year = {Wed Apr 08 00:00:00 EDT 2015},
month = {Wed Apr 08 00:00:00 EDT 2015}
}

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