Effects of Initial Condition Spectral Content on Shock Driven-Turbulent Mixing

Nelson, Nicholas James; Grinstein, Fernando F.

doi:10.1103/PhysRevE.92.013014

Title: Effects of Initial Condition Spectral Content on Shock Driven-Turbulent Mixing

Full Record
Other Related Research

Abstract

The mixing of materials due to the Richtmyer-Meshkov instability and the ensuing turbulent behavior is of intense interest in a variety of physical systems including inertial confinement fusion, combustion, and the final stages of stellar evolution. Extensive numerical and laboratory studies of shock-driven mixing have demonstrated the rich behavior associated with the onset of turbulence due to the shocks. Here we report on progress in understanding shock-driven mixing at interfaces between fluids of differing densities through three-dimensional (3D) numerical simulations using the RAGE code in the implicit large eddy simulation context. We consider a shock-tube configuration with a band of high density gas (SF₆) embedded in low density gas (air). Shocks with a Mach number of 1.26 are passed through SF₆ bands, resulting in transition to turbulence driven by the Richtmyer-Meshkov instability. The system is followed as a rarefaction wave and a reflected secondary shock from the back wall pass through the SF₆ band. We apply a variety of initial perturbations to the interfaces between the two fluids in which the physical standard deviation, wave number range, and the spectral slope of the perturbations are held constant, but the number of modes initially present is varied. By thus decreasing themore »« less

Authors:

Nelson, Nicholas James ^[1]; Grinstein, Fernando F. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Wed Jul 15 00:00:00 EDT 2015

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1329556

Alternate Identifier(s):: OSTI ID: 1194831

Report Number(s):: LA-UR-15-20646
Journal ID: ISSN 1539-3755

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

Additional Journal Information:: Journal Volume: 92; Journal Issue: 1; Journal ID: ISSN 1539-3755

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Nelson, Nicholas James, and Grinstein, Fernando F. Effects of Initial Condition Spectral Content on Shock Driven-Turbulent Mixing.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevE.92.013014.

Copy to clipboard


                    Nelson, Nicholas James, & Grinstein, Fernando F. Effects of Initial Condition Spectral Content on Shock Driven-Turbulent Mixing.  United States.  https://doi.org/10.1103/PhysRevE.92.013014

Copy to clipboard


                    Nelson, Nicholas James, and Grinstein, Fernando F. Wed .  
"Effects of Initial Condition Spectral Content on Shock Driven-Turbulent Mixing".  United States.  https://doi.org/10.1103/PhysRevE.92.013014.  https://www.osti.gov/servlets/purl/1329556.

Copy to clipboard


                    
@article{osti_1329556,

  title        = {Effects of Initial Condition Spectral Content on Shock Driven-Turbulent Mixing},

  author       = {Nelson, Nicholas James and Grinstein, Fernando F.},

  abstractNote = {The mixing of materials due to the Richtmyer-Meshkov instability and the ensuing turbulent behavior is of intense interest in a variety of physical systems including inertial confinement fusion, combustion, and the final stages of stellar evolution. Extensive numerical and laboratory studies of shock-driven mixing have demonstrated the rich behavior associated with the onset of turbulence due to the shocks. Here we report on progress in understanding shock-driven mixing at interfaces between fluids of differing densities through three-dimensional (3D) numerical simulations using the RAGE code in the implicit large eddy simulation context. We consider a shock-tube configuration with a band of high density gas (SF6) embedded in low density gas (air). Shocks with a Mach number of 1.26 are passed through SF6 bands, resulting in transition to turbulence driven by the Richtmyer-Meshkov instability. The system is followed as a rarefaction wave and a reflected secondary shock from the back wall pass through the SF6 band. We apply a variety of initial perturbations to the interfaces between the two fluids in which the physical standard deviation, wave number range, and the spectral slope of the perturbations are held constant, but the number of modes initially present is varied. By thus decreasing the density of initial spectral modes of the interface, we find that we can achieve as much as 25% less total mixing at late times. This has potential direct implications for the treatment of initial conditions applied to material interfaces in both 3D and reduced dimensionality simulation models.},

  doi          = {10.1103/PhysRevE.92.013014},

  journal      = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},

  number       = 1,

  volume       = 92,

  place        = {United States},

  year         = {Wed Jul 15 00:00:00 EDT 2015},

  month        = {Wed Jul 15 00:00:00 EDT 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevE.92.013014

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 8 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Physics of reshock and mixing in single-mode Richtmyer-Meshkov instability

Journal Article Schilling, O ; Latini, M ; Don, W - Physical Review E, vol. 76, N/A, May 1, 2007, pp. 026319-1-026319-28

The ninth-order weighted essentially non-oscillatory (WENO) shock-capturing method is used to investigate the physics of reshock and mixing in two-dimensional single-mode Richtmyer-Meshkov instability to late times. The initial conditions and computational domain were adapted from the Mach 1.21 air(acetone)/SF{sub 6} shock tube experiment of Collins and Jacobs [J. Fluid Mech. 464, 113 (2002)]: the growth of the bubble and spike perturbation amplitudes from fifth- and ninth-order WENO simulations of this experiment were compared to the predictions of amplitude growth models, and were shown to be in very good agreement with the experimental data prior to reshock [Latini, Schilling and Don,more »« less
Full Text Available
Large-eddy simulations of Richtmyer Meshkov instability in a converging geometry

Journal Article Lombardini, Manuel ; Deiterding, Ralf - Physics of Fluids

The Richtmyer-Meshkov instability (RMI) refers to the baroclinic generation of vorticity at a perturbed density interface when impacted by a shock wave. It is often thought of as the impulsive limit of the Rayleigh-Taylor instability. While the RMI has been widely covered in planar geometries, the present simulations investigate the mixing of materials resulting from the interaction of an imploding cylindrical shock wave with a concentric interface, perturbed in both axial and azimuthal directions, which separates outside air from SF{sub 6} (initially 5 times denser) confined in a 90{sup o} wedge. Two incident shocks of Mach numbers M{sub i} =more »« less
https://doi.org/10.1063/1.3491373
Influence of initial conditions on turbulence and mixing in Richtmyer-Meshkov flows in presence of re-shock

Conference Balasubramanian, Sridhar ; Prestridge, Katherine P ; Orlicz, Gregory C ; ...

The study of influence of initial conditions [amplitude ({delta}) and wavelength ({lambda}) of perturbations] on variable-density flows stems from the the recent work done by Dimonte et at. 2004, Miles et al. 2005 and Balakumar et al. 2008a, where it was shown that both Richtmyer-Meshkov (R-M) and Rayleigh-Taylor (R-T) turbulent flows are not truly self similar and have a strong initial conditions dependence on turbulence transport and mixing. However, so far most of the work on this topic has been numerical studies which suggest that for multi-mode systems, the emergence of a regime of self-similar instability growth independent of themore »« less
Full Text Available
The effect of initial conditions on mixing transition of the Richtmyer–Meshkov instability

Journal Article Mansoor, Mohammad Mujtaba ; Dalton, Sean Michael ; Martinez, Adam Andrew ; ... - Journal of Fluid Mechanics

We investigate the late-time Richtmyer–Meshkov instability (RMI) growth of sinuous perturbations on an air/sulphur hexafluoride interface (Atwood number, A ~ 0.67 ) subjected to a Mach 1.2 planar shock wave at Los Alamos National Laboratory's vertical shock tube facility. Interface perturbations are established using a novel membraneless technique where cross-flowing air and SF₆ separated by an oscillating splitter plate create a perturbed density interface. The interface formed has multi-modal features and residual small perturbations, however, a dominant mode is still noticeable. The late-time perturbation growths scale withmore »« less
https://doi.org/10.1017/jfm.2020.620

Full Text Available
Planar Richtmyer-Meshkov instabilities and transition to turbulence

Conference Grinstein, Fernando F ; Gowardhan, Akshay ; Ristorcelli, Ray

Extensive recent work has demonstrated that predictive under-resolved simulations of the velocity fields in turbulent flows are possible without resorting to explicit subgrid models. When using a class of physics-capturing high-resolution finite-volume numerical algorithms. This strategy is denoted implicit large eddy simulation (ILES, MILES). The performance of ILES in the substantially more difficult problem of under-resolved material mixing driven by under-resolved velocity fields and initial conditions (ICs) is a focus of the present work. Progress is presented in analyzing the effects of IC combined spectral content and thickness parametrizations. In the large eddy simulation (LES). the large energy containing structuresmore »« less
Full Text Available

Similar Records