skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Turbulent transport and mixing in the multimode narrowband Richtmyer-Meshkov instability

Journal Article · · Physics of Fluids
DOI:https://doi.org/10.1063/1.5111681· OSTI ID:1806420

The mean momentum and heavy mass fraction, turbulent kinetic energy, and heavy mass fraction variance fields, as well as the budgets of their transport equations are examined several times during the evolution of a narrowband Richtmyer-Meshkov instability initiated by a Mach 1.84 shock traversing a perturbed interface separating gases with a density ratio of 3. The results are computed using the “quarter scale” data from four algorithms presented in the θ-group study of Thornber et al. [“Late-time growth rate, mixing, and anisotropy in the multimode narrowband Richtmyer-Meshkov instability: The θ-group collaboration,” Phys. Fluids 29, 105107 (2017)]. The present study is inspired by a previous similar study of Rayleigh-Taylor instability and mixing using direct numerical simulation data by Schilling and Mueschke [“Analysis of turbulent transport and mixing in transitional Rayleigh-Taylor unstable flow using direct numerical simulation data,” Phys. Fluids 22, 105102 (2010)]. In addition to comparing the predictions of the data from four implicit large-eddy simulation codes, the budgets are used to quantify the relative importance of the terms in the transport equations, and the balance of the terms is employed to infer the numerical dissipation. Furthermore, terms arising from the compressibility of the flow are examined, in particular the pressure-dilatation. The results are useful for validation of large-eddy simulation and Reynolds-averaged modeling of Richtmyer-Meshkov instability.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); Australian Research Council (ARC)
Grant/Contract Number:
AC52-07NA27344; DP150101059; AC52-07NA2734
OSTI ID:
1806420
Alternate ID(s):
OSTI ID: 1566267
Report Number(s):
LLNL-JRNL-770657; 960167; TRN: US2213125
Journal Information:
Physics of Fluids, Vol. 31, Issue 9; ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 23 works
Citation information provided by
Web of Science

References (44)

A pseudo-sound constitutive relationship for the dilatational covariances in compressible turbulence journal September 1997
FLASH: An Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes journal November 2000
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I journal December 2017
Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments journal August 2014
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. II journal December 2017
An experimental investigation of the turbulent mixing transition in the Richtmyer–Meshkov instability journal May 2014
Analysis of turbulent transport and mixing in transitional Rayleigh–Taylor unstable flow using direct numerical simulation data journal October 2010
Turbulent mixing induced by Richtmyer-Meshkov instability
  • Krivets, V. V.; Ferguson, K. J.; Jacobs, J. W.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2015: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.4971732
conference January 2017
Effects of Diffusion on Interface Instability between Gases journal January 1962
Application of a second-moment closure model to mixing processes involving multicomponent miscible fluids journal January 2011
Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow journal March 1977
An improved reconstruction method for compressible flows with low Mach number features journal May 2008
Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics book July 2007
A new turbulent two-field concept for modeling Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz mixing layers journal July 2003
High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations journal January 2004
Supernova explosions in the Universe journal February 2000
K-L turbulence model for the self-similar growth of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities journal August 2006
Three-dimensional simulations of low foot and high foot implosion experiments on the National Ignition Facility journal March 2016
Capsule physics comparison of National Ignition Facility implosion designs using plastic, high density carbon, and beryllium ablators journal March 2018
The transition to turbulence in shock-driven mixing: effects of Mach number and initial conditions journal May 2019
Simultaneous direct measurements of concentration and velocity in the Richtmyer–Meshkov instability journal June 2018
Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories journal February 2000
Permanence of large eddies in Richtmyer-Meshkov turbulence with a small Atwood number journal October 2018
Physics of the single-shocked and reshocked Richtmyer–Meshkov instability journal January 2012
Late-time growth rate, mixing, and anisotropy in the multimode narrowband Richtmyer–Meshkov instability: The θ -group collaboration journal October 2017
Density Ratio and Entrainment Effects on Asymptotic Rayleigh–Taylor Instability journal December 2017
A k ‐ε model for turbulent mixing in shock‐tube flows induced by Rayleigh–Taylor instability journal September 1990
Modal model mean field self-similar solutions to the asymptotic evolution of Rayleigh-Taylor and Richtmyer-Meshkov instabilities and its dependence on the initial conditions journal June 2018
Sub-grid properties and artificial viscous stresses in staggered-mesh schemes journal December 2018
A platform for studying the Rayleigh–Taylor and Richtmyer–Meshkov instabilities in a planar geometry at high energy density at the National Ignition Facility journal July 2017
A second-order turbulence model for gaseous mixtures induced by Richtmyer—Meshkov instability journal January 2005
High-order WENO simulations of three-dimensional reshocked Richtmyer–Meshkov instability to late times: dynamics, dependence on initial conditions, and comparisons to experimental data journal March 2010
Multicomponent Reynolds-averaged Navier–Stokes simulations of reshocked Richtmyer–Meshkov instability-induced mixing journal March 2013
Modeling of Reynolds Stress Models for Diffusion Fluxes Inside Shock Waves journal July 2014
Finite Volume Methods for Hyperbolic Problems book January 2002
The pressure–dilatation correlation in compressible flows journal December 1992
Three‐dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability journal May 1991
Applications of shock-induced mixing to supersonic combustion journal May 1993
The Piecewise Parabolic Method (PPM) for gas-dynamical simulations journal April 1984
A Two-length Scale Turbulence Model for Single-phase Multi-fluid Mixing journal September 2015
Taylor instability in shock acceleration of compressible fluids journal May 1960
Impact of domain size and statistical errors in simulations of homogeneous decaying turbulence and the Richtmyer-Meshkov instability journal April 2016
Measurement of Richtmyer–Meshkov mode coupling under steady shock conditions and at high energy density journal December 2015
Rayleigh-Taylor and Richtmyer-Meshkov instabilities in multilayer fluids with surface tension journal December 1990

Cited By (2)

Three-dimensional simulations of turbulent mixing in spherical implosions journal November 2019
Instability and Mixing of Gas Interfaces Driven by Cylindrically Converging Shock Wave preprint January 2021