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Title: Direct numerical simulations of type Ia supernovae flames II: The Rayleigh-Taylor instability

Abstract

A Type Ia supernova explosion likely begins as a nuclear runaway near the center of a carbon-oxygen white dwarf. The outward propagating flame is unstable to the Landau-Darrieus, Rayleigh-Taylor, and Kelvin-Helmholtz instabilities, which serve to accelerate it to a large fraction of the speed of sound. We investigate the Rayleigh-Taylor unstable flame at the transition from the flamelet regime to the distributed-burning regime, around densities of 10e7 gm/cc, through detailed, fully resolved simulations. A low Mach number, adaptive mesh hydrodynamics code is used to achieve the necessary resolution and long time scales. As the density is varied, we see a fundamental change in the character of the burning--at the low end of the density range the Rayleigh-Taylor instability dominates the burning, whereas at the high end the burning suppresses the instability. In all cases, significant acceleration of the flame is observed, limited only by the size of the domain we are able to study. We discuss the implications of these results on the potential for a deflagration to detonation transition.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director. Office of Science. Office of Computational and Technology Research. Mathematics Information and Computational Sciences Division, Supernova Science Center/UCSC Contract DE-FC02-01ER41176 and DE-AC05-00OR22725; National Aeronautics and Space Administration Award NAG5-12036, National Science Foundation MRI Grant AST-0079757 (US)
OSTI Identifier:
841916
Report Number(s):
LBNL-54300
R&D Project: K11001; TRN: US0503009
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Journal Article
Journal Name:
Astrophysical Journal
Additional Journal Information:
Journal Volume: 608; Journal Issue: pt.1; Other Information: Submitted to Astrophysical Journal; Volume 608, Part 1; Journal Publication Date: 06/20/2004; PBD: 12 Jan 2004
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; EXPLOSIONS; FLAMES; HYDRODYNAMICS; INSTABILITY; MACH NUMBER; RAYLEIGH-TAYLOR INSTABILITY; RESOLUTION; SUPERNOVAE; VELOCITY; SUPERNOVAE: GENERAL WHITE DWARFS HYDRODYNAMICS NUCLEAR REACTIONS NUCLEOSYNTHESIS ABUNDANCES CONDUCTION METHODS: NU MERICAL

Citation Formats

Bell, J.B., Day, M.S., Rendleman, C.A., Woosley, S.E., and Zingale, M. Direct numerical simulations of type Ia supernovae flames II: The Rayleigh-Taylor instability. United States: N. p., 2004. Web. doi:10.1086/420841.
Bell, J.B., Day, M.S., Rendleman, C.A., Woosley, S.E., & Zingale, M. Direct numerical simulations of type Ia supernovae flames II: The Rayleigh-Taylor instability. United States. doi:10.1086/420841.
Bell, J.B., Day, M.S., Rendleman, C.A., Woosley, S.E., and Zingale, M. Mon . "Direct numerical simulations of type Ia supernovae flames II: The Rayleigh-Taylor instability". United States. doi:10.1086/420841. https://www.osti.gov/servlets/purl/841916.
@article{osti_841916,
title = {Direct numerical simulations of type Ia supernovae flames II: The Rayleigh-Taylor instability},
author = {Bell, J.B. and Day, M.S. and Rendleman, C.A. and Woosley, S.E. and Zingale, M.},
abstractNote = {A Type Ia supernova explosion likely begins as a nuclear runaway near the center of a carbon-oxygen white dwarf. The outward propagating flame is unstable to the Landau-Darrieus, Rayleigh-Taylor, and Kelvin-Helmholtz instabilities, which serve to accelerate it to a large fraction of the speed of sound. We investigate the Rayleigh-Taylor unstable flame at the transition from the flamelet regime to the distributed-burning regime, around densities of 10e7 gm/cc, through detailed, fully resolved simulations. A low Mach number, adaptive mesh hydrodynamics code is used to achieve the necessary resolution and long time scales. As the density is varied, we see a fundamental change in the character of the burning--at the low end of the density range the Rayleigh-Taylor instability dominates the burning, whereas at the high end the burning suppresses the instability. In all cases, significant acceleration of the flame is observed, limited only by the size of the domain we are able to study. We discuss the implications of these results on the potential for a deflagration to detonation transition.},
doi = {10.1086/420841},
journal = {Astrophysical Journal},
number = pt.1,
volume = 608,
place = {United States},
year = {2004},
month = {1}
}