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Planar flames are intrinsically unstable in open domains due to the thermal expansion across the burning front--the Landau-Darrieus instability. This instability leads to wrinkling and growth of the flame surface, and corresponding…

Astrophysics · Physics 2009-11-10 J. B. Bell , M. S. Day , C. A. Rendleman , S. E. Woosley , M. Zingale

We present a numerical model to study the behavior of thermonuclear flames in the discontinuity approximation. This model is applied to investigate the Landau-Darrieus instability under conditions found in Type Ia supernova explosions of…

Astrophysics · Physics 2007-05-23 F. K. Roepke , W. Hillebrandt , J. C. Niemeyer

The propagation of cellularly stabilized thermonuclear flames is investigated by means of numerical simulations. In Type Ia supernova explosions the corresponding burning regime establishes at scales below the Gibson length. The cellular…

Astrophysics · Physics 2015-06-24 F. K. Roepke , W. Hillebrandt

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…

Astrophysics · Physics 2009-11-10 J. B. Bell , M. S. Day , C. A. Rendleman , S. E. Woosley , M. Zingale

Critically understanding the `standard candle'-like behavior of Type Ia supernovae requires understanding their explosion mechanism. One family of models for Type Ia Supernovae begins with a deflagration in a Carbon-Oxygen white dwarf which…

Propagation of turbulent premixed flames influenced by the intrinsic hydrodynamic flame instability (the Darrieus-Landau instability) is considered in a two-dimensional case using the model nonlinear equation proposed recently. The…

Mathematical Physics · Physics 2012-11-27 Maxim Zaytsev , Vitaliy Bychkov

Nonlinear non-stationary equation describing evolution of weakly curved premixed flames with arbitrary gas expansion, subject to the Landau-Darrieus instability, is derived. The new equation respects all the conservation laws to be…

Fluid Dynamics · Physics 2007-05-23 Kirill A. Kazakov , Michael A. Liberman

The thermonuclear explosion of a massive white dwarf in a Type Ia supernova explosion is characterized by vastly disparate spatial and temporal scales. The extreme dynamic range inherent to the problem prevents the use of direct numerical…

Astrophysics · Physics 2008-11-26 Ju Zhang , O. E. Bronson Messer , Alexei M. Khokhlov , Tomasz Plewa

A type Ia supernova explosion starts in a white dwarf as a laminar deflagration at the center of the star and soon several hydrodynamic instabilities (in particular, the Rayleigh-Taylor (R-T) instability) begin to act. In previous work…

Astrophysics · Physics 2008-11-26 C. R. Ghezzi , E. M. de Gouveia Dal Pino , J. E. Horvath

Rayleigh-Taylor (RT) unstable flames play a key role in the explosions of Type Ia supernovae. However, the dynamics of these flames is still not well-understood. RT unstable flames are affected by both the RT instability of the flame front…

Solar and Stellar Astrophysics · Physics 2015-05-04 E. P. Hicks

The explosion of a type Ia supernova starts in a white dwarf as a laminar deflagration at the center of the star and soon several hydrodynamic instabilities, in particular, the Rayleigh-Taylor instability, begin to act. A cellular…

We present a numerical investigation of the cellular burning regime in Type Ia supernova explosions. This regime holds at small scales (i.e. below the Gibson scale), which are unresolved in large-scale Type Ia supernova simulations. The…

Astrophysics · Physics 2009-11-10 F. K. Roepke , W. Hillebrandt , J. C. Niemeyer

We investigate the interaction of thermonuclear flames in Type Ia supernova explosions with vortical flows by means of numerical simulations. In our study, we focus on small scales, where the flame propagation is no longer dominated by the…

Astrophysics · Physics 2009-11-10 F. K. Roepke , W. Hillebrandt , J. C. Niemeyer

We present a numerical model which allows us to investigate thermonuclear flames in Type Ia supernova explosions. The model is based on a finite-volume explicit hydrodynamics solver employing PPM. Using the level-set technique combined with…

Astrophysics · Physics 2009-11-07 F. K. Roepke , J. C. Niemeyer , W. Hillebrandt

Type Ia supernovae have recently received considerable attention because it appears that they can be used as "standard candles" to measure cosmic distances out to billions of light years away from us. Observations of type Ia supernovae seem…

Astrophysics · Physics 2007-05-23 W. Hillebrandt , M. Reinecke , W. Schmidt , F. K. Roepke , C. Travaglio , J. C. Niemeyer

The magnetic instability at the front of the spin avalanche in a crystal of molecular magnets is considered. This phenomenon reveals similar features with the Darrieus-Landau instability, inherent to classical combustion flame fronts. The…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 O. Jukimenko , M. Modestov , C. M. Dion , M. Marklund , V. Bychkov

We investigate effects of the magnetic field on the propagation of laminar flames of nuclear reactions taking place in white dwarfs (WDs) with the mass close to the Chandrasekhar limit. We calculate the velocities of laminar flames parallel…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Masamichi Kutsuna , Toshikazu Shigeyama

We present a short review of strange quark matter in supernovae and related explosions, with particular attention to the issue of the propagation of the combustion in the dense stellar environment. We discuss the instabilities affecting the…

Astrophysics · Physics 2014-10-13 J. E. Horvath

The burning speed of a thermonuclear supernova front could be described by the fractal model of combustion. We have examined the effects of magnetic fields on the fractalization of the front considering a white dwarf with a nearly dipolar…

Astrophysics · Physics 2007-05-23 Cristian R. Ghezzi , E. M. de Gouveia Dal Pino , Jorge E. Horvath

This article presents the study of the effects of magnetic fields on non-distributed nuclear burning fronts as a possible solution to a fundamental problem for the thermonuclear explosion of a Chandrasekhar mass ($M_{Ch}$) white dwarf (WD),…

Solar and Stellar Astrophysics · Physics 2018-05-16 Boyan Hristov , David C. Collins , Peter Hoeflich , Charles A. Weatherford , Tiara R. Diamond
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