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:
-
- 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:
- 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. Wed .
"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},
journal = {Shock Waves},
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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 39 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
A tensor artificial viscosity using a finite element approach
journal, December 2009
- Kolev, Tz. V.; Rieben, R. N.
- Journal of Computational Physics, Vol. 228, Issue 22
T HE R ICHTMYER -M ESHKOV I NSTABILITY
journal, January 2002
- Brouillette, Martin
- Annual Review of Fluid Mechanics, Vol. 34, Issue 1
Adaptive mesh refinement for hyperbolic partial differential equations
journal, March 1984
- Berger, Marsha J.; Oliger, Joseph
- Journal of Computational Physics, Vol. 53, Issue 3
Two-Dimensional Turbulence
journal, January 2012
- Boffetta, Guido; Ecke, Robert E.
- Annual Review of Fluid Mechanics, Vol. 44, Issue 1
Large eddy simulation of a shocked gas cylinder instability induced turbulence
journal, February 2010
- Li, Ping; Bai, JingSong; Wang, Tao
- Science China Physics, Mechanics and Astronomy, Vol. 53, Issue 2
Evolution of X-ray cavities
journal, June 2009
- Brüggen, Marcus; Scannapieco, Evan; Heinz, Sebastian
- Monthly Notices of the Royal Astronomical Society, Vol. 395, Issue 4
The dynamics of shock accelerated light and heavy gas cylinders
journal, September 1993
- Jacobs, J. W.
- Physics of Fluids A: Fluid Dynamics, Vol. 5, Issue 9
Statistical Theory of Turbulence
journal, September 1935
- Taylor, G. I.
- Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, Vol. 151, Issue 873
The Role of Mixing in Astrophysics
journal, April 2000
- Arnett, D.
- The Astrophysical Journal Supplement Series, Vol. 127, Issue 2
Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer–Meshkov instability
journal, February 2007
- Latini, Marco; Schilling, Oleg; Don, Wai Sun
- Journal of Computational Physics, Vol. 221, Issue 2
Monotonically Integrated Large Eddy Simulation of Free Shear Flows
journal, May 1999
- Fureby, C.; Grinstein, F. F.
- AIAA Journal, Vol. 37, Issue 5
A rationale for implicit turbulence modelling
journal, January 2002
- Margolin, Len G.; Rider, William J.
- International Journal for Numerical Methods in Fluids, Vol. 39, Issue 9
Two-dimensional viscous flow simulation of a shock accelerated heavy gas cylinder
journal, February 2011
- Shankar, Santhosh K.; Kawai, Soshi; Lele, Sanjiva K.
- Physics of Fluids, Vol. 23, Issue 2
Progress toward Ignition and Burn Propagation in Inertial Confinement Fusion
journal, September 1992
- Lindl, John D.; McCrory, Robert L.; Campbell, E. Michael
- Physics Today, Vol. 45, Issue 9
K-L turbulence model for the self-similar growth of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities
journal, August 2006
- Dimonte, Guy; Tipton, Robert
- Physics of Fluids, Vol. 18, Issue 8
Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
journal, January 1969
- Batchelor, G. K.
- Physics of Fluids, Vol. 12, Issue 12
Two-dimensional turbulence
journal, May 1980
- Kraichnan, R. H.; Montgomery, D.
- Reports on Progress in Physics, Vol. 43, Issue 5
A comparison of mix models for the Rayleigh–Taylor instability
journal, January 2012
- Waltz, J.; Gianakon, T. A.
- Computer Physics Communications, Vol. 183, Issue 1
Experimental study of incompressible Richtmyer–Meshkov instability
journal, February 1996
- Jacobs, J. W.; Sheeley, J. M.
- Physics of Fluids, Vol. 8, Issue 2
Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories
journal, February 2000
- Dimonte, Guy; Schneider, Marilyn
- Physics of Fluids, Vol. 12, Issue 2
Local adaptive mesh refinement for shock hydrodynamics
journal, May 1989
- Berger, M. J.; Colella, P.
- Journal of Computational Physics, Vol. 82, Issue 1
A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration
journal, May 2004
- Dimonte, Guy; Youngs, D. L.; Dimits, A.
- Physics of Fluids, Vol. 16, Issue 5
Enthalpy diffusion in multicomponent flows
journal, May 2009
- Cook, Andrew W.
- Physics of Fluids, Vol. 21, Issue 5
Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows
journal, March 2010
- Kawai, Soshi; Shankar, Santhosh K.; Lele, Sanjiva K.
- Journal of Computational Physics, Vol. 229, Issue 5
Applications of shock-induced mixing to supersonic combustion
journal, May 1993
- Yang, Joseph; Kubota, Toshi; Zukoski, Edward E.
- AIAA Journal, Vol. 31, Issue 5
Three-dimensional effects in shock-cylinder interactions
journal, April 2008
- Weirs, V. Gregory; Dupont, Todd; Plewa, Tomasz
- Physics of Fluids, Vol. 20, Issue 4
Measurements of turbulent mixing due to Kelvin–Helmholtz instability in high-energy-density plasmas
journal, March 2013
- Smalyuk, V. A.; Hurricane, O. A.; Hansen, J. F.
- High Energy Density Physics, Vol. 9, Issue 1
Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions
journal, October 2014
- Olson, Britton J.; Greenough, Jeffrey A.
- Physics of Fluids, Vol. 26, Issue 10
Assessing implicit large eddy simulation for two-dimensional flow
journal, September 2011
- Kent, James; Thuburn, John; Wood, Nigel
- Quarterly Journal of the Royal Meteorological Society, Vol. 138, Issue 663
Taylor instability in shock acceleration of compressible fluids
journal, May 1960
- Richtmyer, Robert D.
- Communications on Pure and Applied Mathematics, Vol. 13, Issue 2
Instability of the interface of two gases accelerated by a shock wave
journal, January 1972
- Meshkov, E. E.
- Fluid Dynamics, Vol. 4, Issue 5
PLIF flow visualization and measurements of the Richtmyer–Meshkov instability of an air/SF 6 interface
journal, August 2002
- Collins, B. D.; Jacobs, J. W.
- Journal of Fluid Mechanics, Vol. 464
Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities
journal, September 1987
- Haas, J. -F.; Sturtevant, B.
- Journal of Fluid Mechanics, Vol. 181, Issue -1
An experimental investigation of mixing mechanisms in shock-accelerated flow
journal, September 2008
- Tomkins, C.; Kumar, S.; Orlicz, G.
- Journal of Fluid Mechanics, Vol. 611
Experimental and numerical study of shock-accelerated elliptic heavy gas cylinders
journal, November 2010
- Bai, Jing-song; Zou, Li-yong; Wang, Tao
- Physical Review E, Vol. 82, Issue 5
Turbulence statistics in fully developed channel flow at low Reynolds number
journal, April 1987
- Kim, John; Moin, Parviz; Moser, Robert
- Journal of Fluid Mechanics, Vol. 177
A study of ALE simulations of Rayleigh–Taylor instability
journal, March 2001
- Darlington, Rebecca M.; McAbee, Thomas L.; Rodrigue, Garry
- Computer Physics Communications, Vol. 135, Issue 1
Large eddy simulation and ALE mesh motion in Rayleigh–Taylor instability simulation
journal, April 2002
- Darlington, Rebecca M.; McAbee, Thomas L.; Rodrigue, Garry
- Computer Physics Communications, Vol. 144, Issue 3
Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics
book, July 2007
- Grinstein, Fernando F.; Margolin, Len G.; Rider, William J.
Development and validation of a turbulent-mix model for variable-density and compressible flows
journal, October 2010
- Banerjee, Arindam; Gore, Robert A.; Andrews, Malcolm J.
- Physical Review E, Vol. 82, Issue 4
Experimental investigation of RayleighTaylor mixing at small Atwood numbers
journal, January 1999
- Ramaprabhu, P.; Andrews, M. J.
- Journal of Fluid Mechanics, Vol. 502
Detailed measurements of a statistically steady Rayleigh–Taylor mixing layer from small to high Atwood numbers
journal, August 2010
- Banerjee, Arindam; Kraft, Wayne N.; Andrews, Malcolm J.
- Journal of Fluid Mechanics, Vol. 659
Monotonically integrated large eddy simulation of free shear flows
conference, August 1998
- Grinstein, F.; Fureby, C.
- 36th AIAA Aerospace Sciences Meeting and Exhibit
Works referencing / citing this record:
Comment on “Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder” by B. E. Morgan, J. Greenough
journal, September 2018
- Zhang, Y. -S.
- Shock Waves, Vol. 28, Issue 6
Response to “Comment on ‘Large-eddy simulation and unsteady RANS simulations of a shock-accelerated heavy gas cylinder’ by B. E. Morgan, J. Greenough”
journal, September 2018
- Morgan, B. E.
- Shock Waves, Vol. 28, Issue 6
Optimization of a high-yield, low-areal-density fusion product source at the National Ignition Facility with applications in nucleosynthesis experiments
journal, May 2018
- Gatu Johnson, M.; Casey, D. T.; Hohenberger, M.
- Physics of Plasmas, Vol. 25, Issue 5
Linear response of a Hall magnetic drift wave for verification of Hall MHD algorithms
journal, July 2019
- Farmer, W. A.; Ellison, C. L.; Hammer, J. H.
- Physics of Plasmas, Vol. 26, Issue 7
Theoretical and experimental investigation of the equation of state of boron plasmas
journal, August 2018
- Zhang, Shuai; Militzer, Burkhard; Gregor, Michelle C.
- Physical Review E, Vol. 98, Issue 2
The Spack package manager: bringing order to HPC software chaos
conference, January 2015
- Gamblin, Todd; LeGendre, Matthew; Collette, Michael R.
- Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '15
Development and modeling of a polar-direct-drive exploding pusher platform at the National Ignition Facility
journal, July 2018
- Ellison, C. Leland; Whitley, Heather D.; Brown, Colin R. D.
- Physics of Plasmas, Vol. 25, Issue 7
Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics
journal, October 2019
- Bergeson, Scott D.; Baalrud, Scott D.; Ellison, C. Leland
- Physics of Plasmas, Vol. 26, Issue 10