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

Morgan, B. E.; Greenough, J. A.

doi:10.1007/s00193-015-0566-3

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

Journal Article · Wed Apr 08 00:00:00 EDT 2015 · Shock Waves

DOI:https://doi.org/10.1007/s00193-015-0566-3· OSTI ID:1313559

Morgan, B. E. ^[1]; Greenough, J. A. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1313559

Report Number(s):: LLNL-JRNL-659268

Journal Information:: Shock Waves, Vol. 26, Issue 4; ISSN 0938-1287

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 39 works

Citation information provided by
Web of Science

References (43)

A tensor artificial viscosity using a finite element approach Kolev, Tz. V.; Rieben, R. N. Journal of Computational Physics, Vol. 228, Issue 22 https://doi.org/10.1016/j.jcp.2009.08.010	journal	December 2009
T HE R ICHTMYER -M ESHKOV I NSTABILITY Brouillette, Martin Annual Review of Fluid Mechanics, Vol. 34, Issue 1 https://doi.org/10.1146/annurev.fluid.34.090101.162238	journal	January 2002
Adaptive mesh refinement for hyperbolic partial differential equations Berger, Marsha J.; Oliger, Joseph Journal of Computational Physics, Vol. 53, Issue 3 https://doi.org/10.1016/0021-9991(84)90073-1	journal	March 1984
Two-Dimensional Turbulence Boffetta, Guido; Ecke, Robert E. Annual Review of Fluid Mechanics, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-fluid-120710-101240	journal	January 2012
Large eddy simulation of a shocked gas cylinder instability induced turbulence Li, Ping; Bai, JingSong; Wang, Tao Science China Physics, Mechanics and Astronomy, Vol. 53, Issue 2 https://doi.org/10.1007/s11433-009-0269-9	journal	February 2010
Evolution of X-ray cavities Brüggen, Marcus; Scannapieco, Evan; Heinz, Sebastian Monthly Notices of the Royal Astronomical Society, Vol. 395, Issue 4 https://doi.org/10.1111/j.1365-2966.2009.14684.x	journal	June 2009
The dynamics of shock accelerated light and heavy gas cylinders Jacobs, J. W. Physics of Fluids A: Fluid Dynamics, Vol. 5, Issue 9 https://doi.org/10.1063/1.858562	journal	September 1993
Statistical Theory of Turbulence Taylor, G. I. Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, Vol. 151, Issue 873 https://doi.org/10.1098/rspa.1935.0158	journal	September 1935
The Role of Mixing in Astrophysics Arnett, D. The Astrophysical Journal Supplement Series, Vol. 127, Issue 2 https://doi.org/10.1086/313364	journal	April 2000
Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer–Meshkov instability Latini, Marco; Schilling, Oleg; Don, Wai Sun Journal of Computational Physics, Vol. 221, Issue 2 https://doi.org/10.1016/j.jcp.2006.06.051	journal	February 2007
Monotonically Integrated Large Eddy Simulation of Free Shear Flows Fureby, C.; Grinstein, F. F. AIAA Journal, Vol. 37, Issue 5 https://doi.org/10.2514/2.772	journal	May 1999
A rationale for implicit turbulence modelling Margolin, Len G.; Rider, William J. International Journal for Numerical Methods in Fluids, Vol. 39, Issue 9 https://doi.org/10.1002/fld.331	journal	January 2002
Two-dimensional viscous flow simulation of a shock accelerated heavy gas cylinder Shankar, Santhosh K.; Kawai, Soshi; Lele, Sanjiva K. Physics of Fluids, Vol. 23, Issue 2 https://doi.org/10.1063/1.3553282	journal	February 2011
Progress toward Ignition and Burn Propagation in Inertial Confinement Fusion Lindl, John D.; McCrory, Robert L.; Campbell, E. Michael Physics Today, Vol. 45, Issue 9 https://doi.org/10.1063/1.881318	journal	September 1992
K-L turbulence model for the self-similar growth of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities Dimonte, Guy; Tipton, Robert Physics of Fluids, Vol. 18, Issue 8 https://doi.org/10.1063/1.2219768	journal	August 2006
Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence Batchelor, G. K. Physics of Fluids, Vol. 12, Issue 12 https://doi.org/10.1063/1.1692443	journal	January 1969
Two-dimensional turbulence Kraichnan, R. H.; Montgomery, D. Reports on Progress in Physics, Vol. 43, Issue 5 https://doi.org/10.1088/0034-4885/43/5/001	journal	May 1980
A comparison of mix models for the Rayleigh–Taylor instability Waltz, J.; Gianakon, T. A. Computer Physics Communications, Vol. 183, Issue 1 https://doi.org/10.1016/j.cpc.2011.08.018	journal	January 2012
Experimental study of incompressible Richtmyer–Meshkov instability Jacobs, J. W.; Sheeley, J. M. Physics of Fluids, Vol. 8, Issue 2 https://doi.org/10.1063/1.868794	journal	February 1996
Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories Dimonte, Guy; Schneider, Marilyn Physics of Fluids, Vol. 12, Issue 2 https://doi.org/10.1063/1.870309	journal	February 2000
Local adaptive mesh refinement for shock hydrodynamics Berger, M. J.; Colella, P. Journal of Computational Physics, Vol. 82, Issue 1 https://doi.org/10.1016/0021-9991(89)90035-1	journal	May 1989
A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration Dimonte, Guy; Youngs, D. L.; Dimits, A. Physics of Fluids, Vol. 16, Issue 5 https://doi.org/10.1063/1.1688328	journal	May 2004
Enthalpy diffusion in multicomponent flows Cook, Andrew W. Physics of Fluids, Vol. 21, Issue 5 https://doi.org/10.1063/1.3139305	journal	May 2009
Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows Kawai, Soshi; Shankar, Santhosh K.; Lele, Sanjiva K. Journal of Computational Physics, Vol. 229, Issue 5 https://doi.org/10.1016/j.jcp.2009.11.005	journal	March 2010
Applications of shock-induced mixing to supersonic combustion Yang, Joseph; Kubota, Toshi; Zukoski, Edward E. AIAA Journal, Vol. 31, Issue 5 https://doi.org/10.2514/3.11696	journal	May 1993
Three-dimensional effects in shock-cylinder interactions Weirs, V. Gregory; Dupont, Todd; Plewa, Tomasz Physics of Fluids, Vol. 20, Issue 4 https://doi.org/10.1063/1.2884787	journal	April 2008
Measurements of turbulent mixing due to Kelvin–Helmholtz instability in high-energy-density plasmas Smalyuk, V. A.; Hurricane, O. A.; Hansen, J. F. High Energy Density Physics, Vol. 9, Issue 1 https://doi.org/10.1016/j.hedp.2012.10.001	journal	March 2013
Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions Olson, Britton J.; Greenough, Jeffrey A. Physics of Fluids, Vol. 26, Issue 10 https://doi.org/10.1063/1.4898157	journal	October 2014
Assessing implicit large eddy simulation for two-dimensional flow Kent, James; Thuburn, John; Wood, Nigel Quarterly Journal of the Royal Meteorological Society, Vol. 138, Issue 663 https://doi.org/10.1002/qj.925	journal	September 2011
Taylor instability in shock acceleration of compressible fluids Richtmyer, Robert D. Communications on Pure and Applied Mathematics, Vol. 13, Issue 2 https://doi.org/10.1002/cpa.3160130207	journal	May 1960
Instability of the interface of two gases accelerated by a shock wave Meshkov, E. E. Fluid Dynamics, Vol. 4, Issue 5 https://doi.org/10.1007/BF01015969	journal	January 1972
PLIF flow visualization and measurements of the Richtmyer–Meshkov instability of an air/SF ₆ interface Collins, B. D.; Jacobs, J. W. Journal of Fluid Mechanics, Vol. 464 https://doi.org/10.1017/S0022112002008844	journal	August 2002
Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities Haas, J. -F.; Sturtevant, B. Journal of Fluid Mechanics, Vol. 181, Issue -1 https://doi.org/10.1017/S0022112087002003	journal	September 1987
An experimental investigation of mixing mechanisms in shock-accelerated flow Tomkins, C.; Kumar, S.; Orlicz, G. Journal of Fluid Mechanics, Vol. 611 https://doi.org/10.1017/S0022112008002723	journal	September 2008
Experimental and numerical study of shock-accelerated elliptic heavy gas cylinders Bai, Jing-song; Zou, Li-yong; Wang, Tao Physical Review E, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevE.82.056318	journal	November 2010
Turbulence statistics in fully developed channel flow at low Reynolds number Kim, John; Moin, Parviz; Moser, Robert Journal of Fluid Mechanics, Vol. 177 https://doi.org/10.1017/S0022112087000892	journal	April 1987
A study of ALE simulations of Rayleigh–Taylor instability Darlington, Rebecca M.; McAbee, Thomas L.; Rodrigue, Garry Computer Physics Communications, Vol. 135, Issue 1 https://doi.org/10.1016/S0010-4655(00)00216-2	journal	March 2001
Large eddy simulation and ALE mesh motion in Rayleigh–Taylor instability simulation Darlington, Rebecca M.; McAbee, Thomas L.; Rodrigue, Garry Computer Physics Communications, Vol. 144, Issue 3 https://doi.org/10.1016/S0010-4655(02)00263-1	journal	April 2002
Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics Grinstein, Fernando F.; Margolin, Len G.; Rider, William J. https://doi.org/10.1017/CBO9780511618604	book	July 2007
Development and validation of a turbulent-mix model for variable-density and compressible flows Banerjee, Arindam; Gore, Robert A.; Andrews, Malcolm J. Physical Review E, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevE.82.046309	journal	October 2010
Experimental investigation of RayleighTaylor mixing at small Atwood numbers Ramaprabhu, P.; Andrews, M. J. Journal of Fluid Mechanics, Vol. 502 https://doi.org/10.1017/S0022112003007419	journal	January 1999
Detailed measurements of a statistically steady Rayleigh–Taylor mixing layer from small to high Atwood numbers Banerjee, Arindam; Kraft, Wayne N.; Andrews, Malcolm J. Journal of Fluid Mechanics, Vol. 659 https://doi.org/10.1017/S0022112010002351	journal	August 2010
Monotonically integrated large eddy simulation of free shear flows Grinstein, F.; Fureby, C. 36th AIAA Aerospace Sciences Meeting and Exhibit https://doi.org/10.2514/6.1998-537	conference	August 1998

Cited By (8)

Comment on “Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder” by B. E. Morgan, J. Greenough Zhang, Y. -S. Shock Waves, Vol. 28, Issue 6 https://doi.org/10.1007/s00193-018-0859-4	journal	September 2018
Response to “Comment on ‘Large-eddy simulation and unsteady RANS simulations of a shock-accelerated heavy gas cylinder’ by B. E. Morgan, J. Greenough” Morgan, B. E. Shock Waves, Vol. 28, Issue 6 https://doi.org/10.1007/s00193-018-0860-y	journal	September 2018
Optimization of a high-yield, low-areal-density fusion product source at the National Ignition Facility with applications in nucleosynthesis experiments Gatu Johnson, M.; Casey, D. T.; Hohenberger, M. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5017746	journal	May 2018
Linear response of a Hall magnetic drift wave for verification of Hall MHD algorithms Farmer, W. A.; Ellison, C. L.; Hammer, J. H. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5094349	journal	July 2019
Theoretical and experimental investigation of the equation of state of boron plasmas Zhang, Shuai; Militzer, Burkhard; Gregor, Michelle C. Physical Review E, Vol. 98, Issue 2 https://doi.org/10.1103/physreve.98.023205	journal	August 2018
The Spack package manager: bringing order to HPC software chaos Gamblin, Todd; LeGendre, Matthew; Collette, Michael R. Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '15 https://doi.org/10.1145/2807591.2807623	conference	January 2015
Development and modeling of a polar-direct-drive exploding pusher platform at the National Ignition Facility Ellison, C. Leland; Whitley, Heather D.; Brown, Colin R. D. Physics of Plasmas, Vol. 25, Issue 7 https://doi.org/10.1063/1.5025724	journal	July 2018
Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics Bergeson, Scott D.; Baalrud, Scott D.; Ellison, C. Leland Physics of Plasmas, Vol. 26, Issue 10 https://doi.org/10.1063/1.5119144	journal	October 2019

Similar Records

A comparison of dispersion calculations in bluff body wakes using LES and unsteady RANS

Technical Report · Thu Jan 19 00:00:00 EST 2006 · OSTI ID:1313559

Paschkewitz, J S

Comprehensive Approaches to Multiphase Flows in Geophysics - Application to nonisothermal, nonhomogenous, unsteady, large-scale, turbulent dusty clouds I. Hydrodynamic and Thermodynamic RANS and LES Models

Technical Report · Mon Sep 05 00:00:00 EDT 2005 · OSTI ID:1313559

Dartevelle, S

Initial conditions and modeling for simulations of shock driven turbulent material mixing

Journal Article · Thu Nov 17 00:00:00 EST 2016 · Computers and Fluids · OSTI ID:1313559

Grinstein, Fernando F.

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Richtmyer–Meshkov instability
turbulent mixing
Large-eddy simulation

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

Citation Formats

References (43)

Cited By (8)

Similar Records

Related Subjects