Effects of Initial Conditions on Compressible Mixing in Supernova-Relevant Laboratory Experiments
Abstract
In core-collapse supernovae, strong blast waves drive interfaces susceptible to Rayleigh-Taylor (RT), Richtmyer-Meshkov (RM), and Kelvin-Helmholtz (KH) instabilities. In addition, perturbation growth can result from material expansion in large-scale velocity gradients behind the shock front. Laser-driven experiments are designed to produce a strongly shocked interface whose evolution is a scaled version of the unstable hydrogen-helium interface in core-collapse supernovae such as SN 1987A. The ultimate goal of this research is to develop an understanding of the effect of hydrodynamic instabilities and the resulting transition to turbulence on supernovae observables that remain as yet unexplained. In this paper, we summarize recent results from our computational study of unstable systems driven by high Mach number shock and blast waves. For planar multimode systems, compressibility effects preclude the emergence of a regime of self-similar instability growth independent of the initial conditions (IC's) by allowing for memory of the initial conditions to be retained in the mix-width at all times. With higher-dimensional blast waves, divergence restores the properties necessary for establishment of the self-similar state, but achieving it requires very high initial characteristic mode number and high Mach number for the incident blast wave. Initial conditions predicted by some recent stellar calculations are incompatiblemore »
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 15014230
- Report Number(s):
- UCRL-PROC-203919
TRN: US0801198
- DOE Contract Number:
- W-7405-ENG-48
- Resource Type:
- Conference
- Resource Relation:
- Conference: Presented at: High Energy Density Laboratory Astrophysics (HEDLA) 04, Tucson, AZ, United States, Mar 10 - Mar 13, 2004
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION; ASTROPHYSICS; COMPRESSIBILITY; ENERGY DENSITY; HYDRODYNAMICS; INSTABILITY; MACH NUMBER; SUPERNOVAE; TURBULENCE; VELOCITY
Citation Formats
Miles, A R, Edwards, M, and Greenough, J. Effects of Initial Conditions on Compressible Mixing in Supernova-Relevant Laboratory Experiments. United States: N. p., 2004.
Web. doi:10.1007/1-4020-4162-4_3.
Miles, A R, Edwards, M, & Greenough, J. Effects of Initial Conditions on Compressible Mixing in Supernova-Relevant Laboratory Experiments. United States. https://doi.org/10.1007/1-4020-4162-4_3
Miles, A R, Edwards, M, and Greenough, J. 2004.
"Effects of Initial Conditions on Compressible Mixing in Supernova-Relevant Laboratory Experiments". United States. https://doi.org/10.1007/1-4020-4162-4_3. https://www.osti.gov/servlets/purl/15014230.
@article{osti_15014230,
title = {Effects of Initial Conditions on Compressible Mixing in Supernova-Relevant Laboratory Experiments},
author = {Miles, A R and Edwards, M and Greenough, J},
abstractNote = {In core-collapse supernovae, strong blast waves drive interfaces susceptible to Rayleigh-Taylor (RT), Richtmyer-Meshkov (RM), and Kelvin-Helmholtz (KH) instabilities. In addition, perturbation growth can result from material expansion in large-scale velocity gradients behind the shock front. Laser-driven experiments are designed to produce a strongly shocked interface whose evolution is a scaled version of the unstable hydrogen-helium interface in core-collapse supernovae such as SN 1987A. The ultimate goal of this research is to develop an understanding of the effect of hydrodynamic instabilities and the resulting transition to turbulence on supernovae observables that remain as yet unexplained. In this paper, we summarize recent results from our computational study of unstable systems driven by high Mach number shock and blast waves. For planar multimode systems, compressibility effects preclude the emergence of a regime of self-similar instability growth independent of the initial conditions (IC's) by allowing for memory of the initial conditions to be retained in the mix-width at all times. With higher-dimensional blast waves, divergence restores the properties necessary for establishment of the self-similar state, but achieving it requires very high initial characteristic mode number and high Mach number for the incident blast wave. Initial conditions predicted by some recent stellar calculations are incompatible with self-similarity.},
doi = {10.1007/1-4020-4162-4_3},
url = {https://www.osti.gov/biblio/15014230},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Apr 30 00:00:00 EDT 2004},
month = {Fri Apr 30 00:00:00 EDT 2004}
}
Works referenced in this record:
The hydrodynamics of Type II supernovae
journal, July 1976
- Chevalier, R. A.
- The Astrophysical Journal, Vol. 207
A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration
journal, May 2004
- Dimonte, Guy; Youngs, D. L.; Dimits, A.
- Physics of Fluids, Vol. 16, Issue 5
Experiments to Produce a Hydrodynamically Unstable, Spherically Diverging System of Relevance to Instabilities in Supernovae
journal, January 2002
- Drake, R. P.; Robey, H. F.; Hurricane, O. A.
- The Astrophysical Journal, Vol. 564, Issue 2
A Theoretical Model for Type II Supernovae
journal, March 1973
- Falk, Sydney W.; Arnett, W. David
- The Astrophysical Journal, Vol. 180
Validation of the Sharp–Wheeler bubble merger model from experimental and computational data
journal, January 1988
- Glimm, J.; Li, X. L.
- Physics of Fluids, Vol. 31, Issue 8
Radiation diffusion for multi-fluid Eulerian hydrodynamics with adaptive mesh refinement
journal, January 2003
- Howell, Louis H.; Greenough, Jeffrey A.
- Journal of Computational Physics, Vol. 184, Issue 1
Nucleosynthesis and Mixing in Cassiopeia A
journal, January 2000
- Hughes, John P.; Rakowski, Cara E.; Burrows, David N.
- The Astrophysical Journal, Vol. 528, Issue 2
Non-spherical core collapse supernovae: I. Neutrino-driven convection, Rayleigh-Taylor instabilities, and the formation and propagation of metal clumps
journal, September 2003
- Kifonidis, K.; Plewa, T.; Janka, H. -Th.
- Astronomy & Astrophysics, Vol. 408, Issue 2
Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws
journal, June 2001
- Oron, D.; Arazi, L.; Kartoon, D.
- Physics of Plasmas, Vol. 8, Issue 6
Taylor instability in shock acceleration of compressible fluids
journal, May 1960
- Richtmyer, Robert D.
- Communications on Pure and Applied Mathematics, Vol. 13, Issue 2
An overview of Rayleigh-Taylor instability
journal, July 1984
- Sharp, D. H.
- Physica D: Nonlinear Phenomena, Vol. 12, Issue 1-3
The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
journal, March 1950
- Taylor, Geoffrey Ingram
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 201, Issue 1065, p. 192-196
Observations of gamma-ray line profiles from SN 1987A
journal, March 1990
- Tueller, J.; Barthelmy, S.; Gehrels, N.
- The Astrophysical Journal, Vol. 351
Spectropolarimetry of SN 2001el in NGC 1448: Asphericity of a Normal Type Ia Supernova
journal, July 2003
- Wang, Lifan; Baade, Dietrich; Hoflich, Peter
- The Astrophysical Journal, Vol. 591, Issue 2
Numerical simulation of turbulent mixing by Rayleigh-Taylor instability
journal, July 1984
- Youngs, David L.
- Physica D: Nonlinear Phenomena, Vol. 12, Issue 1-3
Numerical simulation of mixing by Rayleigh–Taylor and Richtmyer–Meshkov instabilities
journal, December 1994
- Youngs, D. L.
- Laser and Particle Beams, Vol. 12, Issue 4