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Title: Rayleigh–Taylor unstable flames at higher Reynolds number

Abstract

ABSTRACT Rayleigh–Taylor (RT) unstable flames are a key component of Type Ia and Iax supernovae explosions, but their complex hydrodynamics is still not well understood. These flames are affected not only by the RT instability, but also by the turbulence it generates. Both processes can increase the flame speed by stretching and wrinkling the flame. This makes it hard to choose a subgrid model for the flame speed in full star Type Ia or Iax simulations. Commonly used subgrid models get around this difficulty by assuming that either the RT instability or turbulence is dominant and sets the flame speed. In previous work, we evaluated the physical assumptions and predictive abilities of these two types of models by analysing a large parameter study of 3D direct numerical simulations of RT unstable flames. Surprisingly, we found that the flame dynamics is dominated by the RT instability and that RT unstable flames are very different from turbulent flames. In particular, RT unstable flames are thinner rather than thicker when turbulence is strong. In addition, none of the turbulent flame speed models adequately predicted the flame speed. We also showed that the RT flame speed model failed when the RT instability was strong,more » suggesting that geometrical burning effects also influence the flame speed. However, these results depended on simulations with Re ≲ 720. In this paper, we extend the parameter study to higher Reynolds number and show that the basic conclusions of our previous study still hold when the RT-generated turbulence is stronger.« less

Authors:
ORCiD logo [1]
  1. Epsilon Delta Labs, Evanston, IL 60201, USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1558139
Resource Type:
Published Article
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Name: Monthly Notices of the Royal Astronomical Society Journal Volume: 489 Journal Issue: 1; Journal ID: ISSN 0035-8711
Publisher:
Oxford University Press
Country of Publication:
United Kingdom
Language:
English

Citation Formats

Hicks, E. P. Rayleigh–Taylor unstable flames at higher Reynolds number. United Kingdom: N. p., 2019. Web. doi:10.1093/mnras/stz2080.
Hicks, E. P. Rayleigh–Taylor unstable flames at higher Reynolds number. United Kingdom. doi:10.1093/mnras/stz2080.
Hicks, E. P. Tue . "Rayleigh–Taylor unstable flames at higher Reynolds number". United Kingdom. doi:10.1093/mnras/stz2080.
@article{osti_1558139,
title = {Rayleigh–Taylor unstable flames at higher Reynolds number},
author = {Hicks, E. P.},
abstractNote = {ABSTRACT Rayleigh–Taylor (RT) unstable flames are a key component of Type Ia and Iax supernovae explosions, but their complex hydrodynamics is still not well understood. These flames are affected not only by the RT instability, but also by the turbulence it generates. Both processes can increase the flame speed by stretching and wrinkling the flame. This makes it hard to choose a subgrid model for the flame speed in full star Type Ia or Iax simulations. Commonly used subgrid models get around this difficulty by assuming that either the RT instability or turbulence is dominant and sets the flame speed. In previous work, we evaluated the physical assumptions and predictive abilities of these two types of models by analysing a large parameter study of 3D direct numerical simulations of RT unstable flames. Surprisingly, we found that the flame dynamics is dominated by the RT instability and that RT unstable flames are very different from turbulent flames. In particular, RT unstable flames are thinner rather than thicker when turbulence is strong. In addition, none of the turbulent flame speed models adequately predicted the flame speed. We also showed that the RT flame speed model failed when the RT instability was strong, suggesting that geometrical burning effects also influence the flame speed. However, these results depended on simulations with Re ≲ 720. In this paper, we extend the parameter study to higher Reynolds number and show that the basic conclusions of our previous study still hold when the RT-generated turbulence is stronger.},
doi = {10.1093/mnras/stz2080},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 1,
volume = 489,
place = {United Kingdom},
year = {2019},
month = {7}
}

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DOI: 10.1093/mnras/stz2080

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Works referenced in this record:

Model flames in the Boussinesq limit: The case of pulsating fronts
journal, June 2005


The cellular burning regime in type Ia supernova explosions: I. Flame propagation into quiescent fuel
journal, May 2004


On the Evolution of Thermonuclear Flames on Large Scales
journal, February 2007

  • Zhang, Ju; Messer, O. E. Bronson; Khokhlov, Alexei M.
  • The Astrophysical Journal, Vol. 656, Issue 1
  • DOI: 10.1086/510145

Burning regimes of nuclear flames in SN Ia explosions
journal, August 1997


Analysis of implicit LES methods
journal, January 2008

  • Aspden, Andrew; Nikiforakis, Nikos; Dalziel, Stuart
  • Communications in Applied Mathematics and Computational Science, Vol. 3, Issue 1
  • DOI: 10.2140/camcos.2008.3.103

TYPE Ia SUPERNOVAE: CALCULATIONS OF TURBULENT FLAMES USING THE LINEAR EDDY MODEL
journal, September 2009


Propagation of the First Flames in Type Ia Supernovae
journal, February 2007

  • Zingale, M.; Dursi, L. J.
  • The Astrophysical Journal, Vol. 656, Issue 1
  • DOI: 10.1086/510306

Delayed detonations in full-star models of type Ia supernova explosions
journal, December 2006


The type Iax supernova, SN 2015H: A white dwarf deflagration candidate
journal, April 2016


Reactive Rayleigh–Taylor turbulence
journal, August 2009


The conductive propagation of nuclear flames. I - Degenerate C + O and O + NE + MG white dwarfs
journal, September 1992

  • Timmes, F. X.; Woosley, S. E.
  • The Astrophysical Journal, Vol. 396
  • DOI: 10.1086/171746

HIGH-RESOLUTION SIMULATIONS OF CONVECTION PRECEDING IGNITION IN TYPE Ia SUPERNOVAE USING ADAPTIVE MESH REFINEMENT
journal, December 2011


Three-dimensional pure deflagration models with nucleosynthesis and synthetic observables for Type Ia supernovae
journal, December 2013

  • Fink, Michael; Kromer, Markus; Seitenzahl, Ivo R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 438, Issue 2
  • DOI: 10.1093/mnras/stt2315

TURBULENCE IN A THREE-DIMENSIONAL DEFLAGRATION MODEL FOR TYPE Ia SUPERNOVAE. I. SCALING PROPERTIES
journal, April 2009


Transport coefficients of dense matter in the liquid metal regime
journal, August 1984

  • Nandkumar, R.; Pethick, C. J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 209, Issue 3
  • DOI: 10.1093/mnras/209.3.511

Type Ia Supernovae: Burning and Detonation in the Distributed Regime
journal, October 2007

  • Woosley, S. E.
  • The Astrophysical Journal, Vol. 668, Issue 2
  • DOI: 10.1086/520835

A thickened flame model for large eddy simulations of turbulent premixed combustion
journal, July 2000

  • Colin, O.; Ducros, F.; Veynante, D.
  • Physics of Fluids, Vol. 12, Issue 7
  • DOI: 10.1063/1.870436

XSEDE: Accelerating Scientific Discovery
journal, September 2014

  • Towns, John; Cockerill, Timothy; Dahan, Maytal
  • Computing in Science & Engineering, Vol. 16, Issue 5
  • DOI: 10.1109/MCSE.2014.80

Adaptive low Mach number simulations of nuclear flame microphysics
journal, April 2004

  • Bell, J. B.; Day, M. S.; Rendleman, C. A.
  • Journal of Computational Physics, Vol. 195, Issue 2
  • DOI: 10.1016/j.jcp.2003.10.035

A power-law flame wrinkling model for LES of premixed turbulent combustion Part I: non-dynamic formulation and initial tests
journal, October 2002


A shear instability mechanism for the pulsations of Rayleigh–Taylor unstable model flames
journal, May 2014


Three‐dimensional Numerical Simulations of Rayleigh‐Taylor Unstable Flames in Type Ia Supernovae
journal, October 2005

  • Zingale, M.; Woosley, S. E.; Rendleman, C. A.
  • The Astrophysical Journal, Vol. 632, Issue 2
  • DOI: 10.1086/433164

Level set simulations of turbulent thermonuclear deflagration in degenerate carbon and oxygen
journal, November 2005

  • Schmidt, W.; Hillebrandt, W.; Niemeyer, J. C.
  • Combustion Theory and Modelling, Vol. 9, Issue 4
  • DOI: 10.1080/13647830500304854

The Accuracy, Consistency, and Speed of Five Equations of State for Stellar Hydrodynamics
journal, November 1999

  • Timmes, F. X.; Arnett, Dave
  • The Astrophysical Journal Supplement Series, Vol. 125, Issue 1
  • DOI: 10.1086/313271

Magnetohydrodynamical Effects on Nuclear Deflagration Fronts in Type Ia Supernovae
journal, April 2018

  • Hristov, Boyan; Collins, David C.; Hoeflich, Peter
  • The Astrophysical Journal, Vol. 858, Issue 1
  • DOI: 10.3847/1538-4357/aab7f2

The interaction of high-speed turbulence with flames: Turbulent flame speed
journal, February 2011


Late-Time Spectroscopy of SN 2002cx: The Prototype of a New Subclass of Type Ia Supernovae
journal, June 2006

  • Jha, Saurabh; Branch, David; Chornock, Ryan
  • The Astronomical Journal, Vol. 132, Issue 1
  • DOI: 10.1086/504599

Capturing the Fire: Flame Energetics and Neutronization for Type Ia Supernova Simulations
journal, February 2007

  • Calder, A. C.; Townsley, D. M.; Seitenzahl, I. R.
  • The Astrophysical Journal, Vol. 656, Issue 1
  • DOI: 10.1086/510709

BURNING THERMALS IN TYPE Ia SUPERNOVAE
journal, August 2011


Propagation of Turbulent Flames in Supernovae
journal, August 1995

  • Khokhlov, Alexei M.
  • The Astrophysical Journal, Vol. 449
  • DOI: 10.1086/176091

Front Propagation in a Turbulent Medium
journal, November 1992


Local Ignition in Carbon‐Oxygen White Dwarfs. I. One‐Zone Ignition and Spherical Shock Ignition of Detonations
journal, April 2006

  • Dursi, L. Jonathan; Timmes, F. X.
  • The Astrophysical Journal, Vol. 641, Issue 2
  • DOI: 10.1086/500638

Scaling in buoyancy-driven turbulent premixed flames
journal, April 1996


On the Small‐Scale Stability of Thermonuclear Flames in Type Ia Supernovae
journal, May 2003

  • Ropke, F. K.; Niemeyer, J. C.; Hillebrandt, W.
  • The Astrophysical Journal, Vol. 588, Issue 2
  • DOI: 10.1086/374216

The interaction of high-speed turbulence with flames: Global properties and internal flame structure
journal, May 2010


A theory of deflagration-to-detonation transition in unconfined flames
journal, March 1997


Deflagration‐to‐Detonation Transition in Thermonuclear Supernovae
journal, April 1997

  • Khokhlov, A. M.; Oran, E. S.; Wheeler, J. C.
  • The Astrophysical Journal, Vol. 478, Issue 2
  • DOI: 10.1086/303815

On the Boussinesq Approximation for a Compressible Fluid.
journal, March 1960

  • Spiegel, E. A.; Veronis, G.
  • The Astrophysical Journal, Vol. 131
  • DOI: 10.1086/146849

Flame Evolution During Type Ia Supernovae and the Deflagration Phase in the Gravitationally Confined Detonation Scenario
journal, October 2007

  • Townsley, D. M.; Calder, A. C.; Asida, S. M.
  • The Astrophysical Journal, Vol. 668, Issue 2
  • DOI: 10.1086/521013

Three-dimensional delayed-detonation models with nucleosynthesis for Type Ia supernovae
journal, December 2012

  • Seitenzahl, Ivo R.; Ciaraldi-Schoolmann, Franco; Röpke, Friedrich K.
  • Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 2
  • DOI: 10.1093/mnras/sts402

Turbulent Nuclear Flames in Type IA Supernovae
journal, October 1995

  • Niemeyer, J. C.; Hillebrandt, W.
  • The Astrophysical Journal, Vol. 452
  • DOI: 10.1086/176345

Direct Numerical Simulations of Type Ia Supernovae Flames. II. The Rayleigh‐Taylor Instability
journal, June 2004

  • Bell, J. B.; Day, M. S.; Rendleman, C. A.
  • The Astrophysical Journal, Vol. 608, Issue 2
  • DOI: 10.1086/420841

Carbon Ignition in Type Ia Supernovae: An Analytic Model
journal, June 2004

  • Woosley, S. E.; Wunsch, S.; Kuhlen, M.
  • The Astrophysical Journal, Vol. 607, Issue 2
  • DOI: 10.1086/383530

A localised subgrid scale model for fluid dynamical simulations in astrophysics: I. Theory and numerical tests
journal, April 2006


Front Propagation in Heterogeneous Media
journal, January 2000


Constraints on the Delayed Transition to Detonation in Type Ia Supernovae
journal, August 2000

  • Lisewski, A. M.; Hillebrandt, W.; Woosley, S. E.
  • The Astrophysical Journal, Vol. 538, Issue 2
  • DOI: 10.1086/309158

A localised subgrid scale model for fluid dynamical simulations in astrophysics: II. Application to type Ia supernovae
journal, April 2006


Effect of Architecture on the Micellization Properties of Block Copolymers:  A 2 B Miktoarm Stars vs AB Diblocks
journal, March 2000

  • Pispas, S.; Hadjichristidis, N.; Potemkin, I.
  • Macromolecules, Vol. 33, Issue 5
  • DOI: 10.1021/ma991636h

Spontaneous Transition of Turbulent Flames to Detonations in Unconfined Media
journal, July 2011


On the onset of detonation in a nonuniformly heated gas
journal, January 1972

  • Zel'dovich, Ya. B.; Librovich, V. B.; Makhviladze, G. M.
  • Journal of Applied Mechanics and Technical Physics, Vol. 11, Issue 2
  • DOI: 10.1007/BF00908106

Deflagrations and Detonations in Thermonuclear Supernovae
journal, May 2004


Three‐dimensional Delayed‐Detonation Model of Type Ia Supernovae
journal, April 2005

  • Gamezo, Vadim N.; Khokhlov, Alexei M.; Oran, Elaine S.
  • The Astrophysical Journal, Vol. 623, Issue 1
  • DOI: 10.1086/428767

Supernovae deflagrations in three dimensions
journal, April 1994

  • Khokhlov, A.
  • The Astrophysical Journal, Vol. 424
  • DOI: 10.1086/187288

Flame enhancement and quenching in fluid flows
journal, September 2003

  • Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander
  • Combustion Theory and Modelling, Vol. 7, Issue 3
  • DOI: 10.1088/1364-7830/7/3/303

Pulsating instability and self-acceleration of fast turbulent flames
journal, January 2015


Spontaneous Initiation of Detonations in White Dwarf Environments: Determination of Critical Sizes
journal, April 2009

  • Seitenzahl, Ivo R.; Meakin, Casey A.; Townsley, Dean M.
  • The Astrophysical Journal, Vol. 696, Issue 1
  • DOI: 10.1088/0004-637X/696/1/515

THE DETONATION MECHANISM OF THE PULSATIONALLY ASSISTED GRAVITATIONALLY CONFINED DETONATION MODEL OF Type Ia SUPERNOVAE
journal, October 2012


The Accuracy, Consistency, and Speed of an Electron‐Positron Equation of State Based on Table Interpolation of the Helmholtz Free Energy
journal, February 2000

  • Timmes, F. X.; Swesty, F. Douglas
  • The Astrophysical Journal Supplement Series, Vol. 126, Issue 2
  • DOI: 10.1086/313304

Three‐Dimensional Simulations of the Deflagration Phase of the Gravitationally Confined Detonation Model of Type Ia Supernovae
journal, July 2008

  • Jordan IV, G. C.; Fisher, R. T.; Townsley, D. M.
  • The Astrophysical Journal, Vol. 681, Issue 2
  • DOI: 10.1086/588269

Model flames in the Boussinesq limit: Rising bubbles
journal, April 2007


Reading the Spectra of the Most Peculiar Type Ia Supernova 2002cx
journal, October 2004

  • Branch, David; Baron, E.; Thomas, R. C.
  • Publications of the Astronomical Society of the Pacific, Vol. 116, Issue 824
  • DOI: 10.1086/425081

Thermonuclear reaction rates V
journal, November 1988


Full-star type Ia supernova explosion models
journal, February 2005


The cellular burning regime in type Ia supernova explosions: II. Flame propagation into vortical fuel
journal, June 2004


Power-Law Wrinkling Turbulence-Flame Interaction Model for Astrophysical Flames
journal, March 2014


3D deflagration simulations leaving bound remnants: a model for 2002cx-like Type Ia supernovae★
journal, December 2012

  • Kromer, M.; Fink, M.; Stanishev, V.
  • Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 3
  • DOI: 10.1093/mnras/sts498

Gravitationally Unstable Flames: Rayleigh-Taylor Stretching Versus Turbulent Wrinkling
journal, June 2013


The Response of Model and Astrophysical Thermonuclear Flames to Curvature and Stretch
journal, October 2003

  • Dursi, L. J.; Zingale, M.; Calder, A. C.
  • The Astrophysical Journal, Vol. 595, Issue 2
  • DOI: 10.1086/377433

The Thermonuclear Explosion of Chandrasekhar Mass White Dwarfs
journal, February 1997

  • Niemeyer, J. C.; Woosley, S. E.
  • The Astrophysical Journal, Vol. 475, Issue 2
  • DOI: 10.1086/303544

Scale invariance in turbulent front propagation
journal, February 1994


An effect which stabilizes the curved front of a laminar flame
journal, January 1969

  • Zel'dovich, Ya. B.
  • Journal of Applied Mechanics and Technical Physics, Vol. 7, Issue 1
  • DOI: 10.1007/BF00912834

A power-law flame wrinkling model for LES of premixed turbulent combustion Part II: dynamic formulation
journal, October 2002


Rayleigh–Taylor Unstable Flames—Fast or Faster?
journal, April 2015


Three-Dimensional Simulations of pure Deflagration Models for Thermonuclear Supernovae
journal, June 2014


Direct Numerical Simulations of Type Ia Supernovae Flames. I. The Landau‐Darrieus Instability
journal, May 2004

  • Bell, J. B.; Day, M. S.; Rendleman, C. A.
  • The Astrophysical Journal, Vol. 606, Issue 2
  • DOI: 10.1086/383023

On stochastic Damköhler number variations in a homogeneous flow reactor
journal, December 2000


Reactive Rayleigh-Taylor systems: Front propagation and non-stationarity
journal, May 2011


Model flames in the Boussinesq limit: The effects of feedback
journal, June 2003


The Peculiar SN 2005hk: Do Some Type Ia Supernovae Explode as Deflagrations?
journal, April 2007

  • Phillips, M. M.; Li, Weidong; Frieman, Joshua A.
  • Publications of the Astronomical Society of the Pacific, Vol. 119, Issue 854
  • DOI: 10.1086/518372