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Title: High-resolution Navier-Stokes simulations of Richtmyer-Meshkov instability with reshock

Journal Article · · Physical Review Fluids
ORCiD logo [1]; ORCiD logo [2];  [1]
  1. Stanford Univ., Stanford, CA (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
+ Show Author Affiliations

The interaction of a Mach-1.45 shock wave with a perturbed planar interface between sulfur hexafluoride and air is studied through high-resolution two-dimensional (2D) and three-dimensional (3D) shock-capturing adaptive mesh refinement simulations of multispecies Navier-Stokes equations. The sensitivities of time-dependent statistics on grid resolution for 2D and 3D simulations are evaluated to ensure the accuracy of the results. Here, the numerical results are used to examine the differences between the development of 2D and 3D Richtmyer-Meshkov instability during two different stages: (1) initial growth of hydrodynamic instability from multimode perturbations after first shock and (2) transition to chaotic or turbulent state after reshock. The effects of the Reynolds number on the mixing in 3D simulations are also studied through varying the transport coefficients.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1573338
Report Number(s):
LA-UR-18-31504; TRN: US2100162
Journal Information:
Physical Review Fluids, Vol. 4, Issue 10; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

References (75)

Efficient implementation of essentially non-oscillatory shock-capturing schemes, II journal July 1989
Richtmyer-Meshkov Instability in the Turbulent Regime journal June 1995
T HE R ICHTMYER -M ESHKOV I NSTABILITY journal January 2002
The mixing transition in turbulent flows journal April 2000
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I journal December 2017
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
Growth rate of a shocked mixing layer with known initial perturbations journal May 2013
Energy transfer in compressible magnetohydrodynamic turbulence journal September 2017
Richtmyer–Meshkov turbulent mixing arising from an inclined material interface with realistic surface perturbations and reshocked flow journal April 2011
A systematic study of Rayleigh-Brillouin scattering in air, N 2 , and O 2 gases journal September 2014
Effects of Diffusion on Interface Instability between Gases journal January 1962
Parallel clustering algorithms for structured AMR journal November 2006
High-Reynolds number Rayleigh–Taylor turbulence journal January 2009
The bipolar behavior of the Richtmyer–Meshkov instability journal July 2011
Note on Decay of Homogeneous Turbulence journal January 1967
Numerical study of variable density turbulence interaction with a normal shock wave journal September 2017
Numerical estimates for the bulk viscosity of ideal gases journal June 2012
Evaluation of turbulent mixing transition in a shock-driven variable-density flow journal October 2017
Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics book July 2007
The influence of initial conditions on turbulent mixing due to Richtmyer–Meshkov instability journal May 2010
The effects of heat release on the energy exchange in reacting turbulent shear flow journal January 2002
Turbulent Flows book July 2012
On the Richtmyer–Meshkov instability evolving from a deterministic multimode planar interface journal August 2014
Multiresolution Wavelet Based Adaptive Numerical Dissipation Control for High Order Methods journal April 2004
Turbulent mixing in a Richtmyer–Meshkov fluid layer after reshock: velocity and density statistics journal March 2012
Numerical simulations of the two-dimensional multimode Richtmyer-Meshkov instability journal March 2015
Managing application complexity in the SAMRAI object-oriented framework journal January 2002
The large-scale structure of homogeneous turbulence journal February 1967
Inviscid criterion for decomposing scales journal May 2018
Advances in patch-based adaptive mesh refinement scalability journal March 2016
A scaling analysis of turbulent flows driven by Rayleigh–Taylor and Richtmyer–Meshkov instabilities journal February 2001
Spectral kinetic energy transfer in turbulent premixed reacting flows journal May 2016
Experimental study of initial condition dependence on Richtmyer-Meshkov instability in the presence of reshock journal March 2012
New phenomena in variable-density Rayleigh–Taylor turbulence journal December 2010
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
Evolution of length scales and statistics of Richtmyer-Meshkov instability from direct numerical simulations journal December 2014
The mixing transition in RayleighTaylor instability journal January 1999
The mixing region in freely decaying variable-density turbulence journal May 2015
Experiments on the Richtmyer–Meshkov instability: single-scale perturbations on a continuous interface journal March 1994
Late-time growth rate, mixing, and anisotropy in the multimode narrowband Richtmyer–Meshkov instability: The θ -group collaboration journal October 2017
Local adaptive mesh refinement for shock hydrodynamics journal May 1989
Mixing transition in a shocked variable-density flow journal November 2015
Growth of a Richtmyer-Meshkov turbulent layer after reshock journal September 2011
Transition to turbulence in shock-driven mixing: a Mach number study journal November 2011
Turbulent mixing driven by spherical implosions. Part 2. Turbulence statistics journal April 2014
Turbulent mixing driven by spherical implosions. Part 1. Flow description and mixing-layer growth journal April 2014
Numerical simulation of mixing by Rayleigh–Taylor and Richtmyer–Meshkov instabilities journal December 1994
Local isotropy in turbulent boundary layers at high Reynolds number journal June 1994
Energy transfer in Rayleigh-Taylor instability journal August 2002
Variable-density mixing in buoyancy-driven turbulence journal May 2008
Robust explicit formulation of weighted compact nonlinear scheme journal October 2013
Velocity measurements in turbulent gaseous mixtures induced by Richtmyer–Meshkov instability journal November 1998
Numerical simulation of Richtmyer–Meshkov instabilities in shocked gas curtains journal January 2011
Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh–Taylor instability journal November 2013
The late-time development of the Richtmyer–Meshkov instability journal August 2000
A high-order weighted compact high resolution scheme with boundary closures for compressible turbulent flows with shocks journal November 2019
Onset of turbulence in accelerated high-Reynolds-number flow journal May 2003
Atwood ratio dependence of Richtmyer–Meshkov flows under reshock conditions using large-eddy simulations journal February 2011
The Large-Scale Structure of Homogeneous Turbulence
  • Batchelor, G. K.; Proudman, I.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 248, Issue 949 https://doi.org/10.1098/rsta.1956.0002
journal January 1956
Instability of the interface of two gases accelerated by a shock wave journal January 1972
Density and velocity statistics in variable density turbulent mixing journal June 2015
Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions journal October 2014
Subgrid-scale effects in compressible variable-density decaying turbulence journal May 2018
Experiments on the Richtmyer-Meshkov instability of an air/SF6 interface journal March 1995
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
Simulations of Richtmyer–Meshkov instabilities in planar shock-tube experiments journal March 2011
Large-eddy simulation and multiscale modelling of a Richtmyer–Meshkov instability with reshock journal June 2006
High-order localized dissipation weighted compact nonlinear scheme for shock- and interface-capturing in compressible flows journal June 2017
Managing complex data and geometry in parallel structured AMR applications journal August 2006
Combustion theory journal March 1987
Turbulent Flows journal October 2001
A systematic study of Rayleigh-Brillouin scattering in air, N2 and O2 gases text January 2014

Figures / Tables (37)

FIG. 1(p. 5)figure FIG. 1
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TABLE V(p. 37)table TABLE V

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