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

Title: Modal interactions between a large-wavelength inclined interface and small-wavelength multimode perturbations in a Richtmyer-Meshkov instability

Journal Article · · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
 [1];  [2];  [1];  [3];  [2]
  1. Univ. of Missouri, Columbia, MO (United States)
  2. Georgia Inst. of Technology, Atlanta, GA (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

The interaction of a small-wavelength multimodal perturbation with a large-wavelength inclined interface perturbation is investigated for the reshocked Richtmyer-Meshkov instability using three-dimensional simulations. The ares code, developed at Lawrence Livermore National Laboratory, was used for these simulations and a detailed comparison of simulation results and experiments performed at the Georgia Tech Shock Tube facility is presented first for code validation. Simulation results are presented for four cases that vary in large-wavelength perturbation amplitude and the presence of secondary small-wavelength multimode perturbations. Previously developed measures of mixing and turbulence quantities are presented that highlight the large variation in perturbation length scales created by the inclined interface and the multimode complex perturbation. Measures are developed for entrainment, and turbulence anisotropy that help to identify the effects of and competition between each perturbations type. It is shown through multiple measures that before reshock the flow processes a distinct memory of the initial conditions that is present in both large-scale-driven entrainment measures and small-scale-driven mixing measures. After reshock the flow develops to a turbulentlike state that retains a memory of high-amplitude but not low-amplitude large-wavelength perturbations. As a result, it is also shown that the high-amplitude large-wavelength perturbation is capable of producing small-scale mixing and turbulent features similar to the small-wavelength multimode perturbations.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1559919
Alternate ID(s):
OSTI ID: 1206798
Report Number(s):
LLNL-JRNL-669298; PLEEE8; 791164; TRN: US2000426
Journal Information:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, Issue 1; ISSN 1539-3755
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 32 works
Citation information provided by
Web of Science

References (29)

High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability: Comparison to experimental data and to amplitude growth model predictions journal February 2007
A tensor artificial viscosity using a finite element approach journal December 2009
Turbulent mixing measurements in the Richtmyer-Meshkov instability journal July 2012
Adaptive mesh refinement for hyperbolic partial differential equations journal March 1984
Local adaptive mesh refinement for shock hydrodynamics journal May 1989
Transition to turbulence in shock-driven mixing: a Mach number study journal November 2011
An Evaluation of the Richtmyer‐Meshkov Instability in Supernova Remnant Formation journal January 1999
Simulations and Analysis of the Reshocked Inclined Interface Richtmyer–Meshkov Instability for Linear and Nonlinear Interface Perturbations journal May 2014
Experimental validation of a Richtmyer–Meshkov scaling law over large density ratio and shock strength ranges journal December 2009
An aggregation index (AI) to quantify spatial patterns of landscapes journal October 2000
Evolution of the density self-correlation in developing Richtmyer–Meshkov turbulence journal October 2013
Application of a second-moment closure model to mixing processes involving multicomponent miscible fluids journal January 2011
An experimental testbed for the study of hydrodynamic issues in supernovae journal May 2001
Transition to turbulence and effect of initial conditions on three-dimensional compressible mixing in planar blast-wave-driven systems journal May 2005
Experiments on the three-dimensional incompressible Richtmyer-Meshkov instability journal July 2006
Experimental investigation of the inclined interface Richtmyer–Meshkov instability before and after reshock journal December 2013
Enthalpy diffusion in multicomponent flows journal May 2009
Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional Richtmyer–Meshkov interface journal December 2003
Diffusion Coefficients in Gaseous Systems journal June 1934
Experimental Investigation of Primary and Secondary Features in High-Mach-Number Shock-Bubble Interaction journal January 2007
Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae journal July 2006
The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I journal March 1950
Computational parametric study of a Richtmyer-Meshkov instability for an inclined interface journal August 2011
Measurement of spectral characteristics of the turbulent mixing zone journal May 2010
Large eddy simulation requirements for the Richtmyer-Meshkov instability journal April 2014
Laser Doppler Velocimetry Measurements in Turbulent Gaseous Mixing Induced by the Richtmyer–Meshkov Instability: Statistical Convergence Issues and Turbulence Quantification journal July 2014
Study of the membrane effect on turbulent mixing measurements in shock tubes journal September 2000
Simulations of Richtmyer–Meshkov instabilities in planar shock-tube experiments journal March 2011
On the late-time growth of the two-dimensional Richtmyer–Meshkov instability in shock tube experiments journal October 2012

Cited By (4)

Gaussian models for late-time evolution of two-dimensional shock–light cylindrical bubble interaction journal November 2019
The Richtmyer-Meshkov instability of a “V” shaped air/helium interface subjected to a weak shock journal August 2016
Interaction of planar shock wave with three-dimensional heavy cylindrical bubble journal October 2018
Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities journal August 2019