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Supernovae of Type Ia are used as standard candles for cosmological observations despite the as yet incomplete understanding of their explosion mechanism. In one model, these events are thought to result from subsonic burning in the core of…

Astrophysics · Physics 2009-11-10 L. J. Dursi

This paper demonstrates the ability of neural networks to reliably learn the nonlinear flame response of a laminar premixed flame, while carrying out only one unsteady CFD simulation. The system is excited with a broadband, low-pass…

Fluid Dynamics · Physics 2022-04-12 Nilam Tathawadekar , Nguyen Anh Khoa Doan , Camilo F. Silva , Nils Thuerey

The nature of carbon burning flames in Type Ia supernovae is explored as they interact with Kolmogorov turbulence. One-dimensional calculations using the Linear Eddy Model of Kerstein (1991) elucidate three regimes of turbulent burning. In…

Astrophysics · Physics 2009-10-02 S. E. Woosley , A. R. Kerstein , V. Sankaran , F. K. Roepke

In this work we clarify the role of Markstein diffusivity on turbulent flame speed and it's scaling, from analysis and experimental measurements on constant-pressure expanding flames propagating in near isotropic turbulence. For all C0-C4…

Fluid Dynamics · Physics 2015-06-04 Swetaprovo Chaudhuri , Fujia Wu , Chung K. Law

We extend a low Mach number hydrodynamics method developed for terrestrial combustion, to the study of thermonuclear flames in Type Ia supernovae. We discuss the differences between 2-D and 3-D Rayleigh-Taylor unstable flame simulations,…

Astrophysics · Physics 2009-11-13 M. Zingale , S. E. Woosley , J. B. Bell , M. S. Day , C. A. Rendleman

This paper investigates a predictive model that considers the impact of stretch on the dynamic response of laminar premixed conical and V- flames; the flame stretch consists of two components: the flame curvature and flow strain. The steady…

Fluid Dynamics · Physics 2023-10-17 Yu Tian , Lijun Yang , Aimee S. Morgans , Jingxuan Li

The propagation of premixed flames in narrow Hele-Shaw cells and permeable porous media is governed by Darcy's law, leading to hydrodynamic behaviour distinct from conventional flames. This study investigates the role of confinement on…

Fluid Dynamics · Physics 2026-03-13 Prabakaran Rajamanickam , Joel Daou

We present high-resolution, full-star simulations of the post-ignition phase of Type Ia supernovae using the compressible hydrodynamics code Castro. Initial conditions, including the turbulent velocity field and ignition site, are imported…

Solar and Stellar Astrophysics · Physics 2015-06-17 C. M. Malone , A. Nonaka , S. E. Woosley , A. S. Almgren , J. B. Bell , S. Dong , M. Zingale

We extend a model for turbulence-flame interactions (TFI) to consider astrophysical flames with a particular focus on combustion in type Ia supernovae. The inertial range of the turbulent cascade is nearly always under-resolved in…

Solar and Stellar Astrophysics · Physics 2015-06-18 Aaron P. Jackson , Dean M. Townsley , Alan C. Calder

It is well known in the combustion community that curvature effect in general slows down flame propagation speeds because it smooths out wrinkled flames. However, such a folklore has never been justified rigorously. In this paper, as the…

Analysis of PDEs · Mathematics 2018-01-17 Jiancheng Lyu , Jack Xin , Yifeng Yu

The dynamics of the explosive burning process is highly sensitive to the flame speed model in numerical simulations of type Ia supernovae. Based upon the hypothesis that the effective flame speed is determined by the unresolved turbulent…

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

Although delayed detonation models of thermonuclear explosions of white dwarfs seem promising for reproducing Type Ia supernovae, the transition of the flame propagation mode from subsonic deflagration to supersonic detonation remains…

Astrophysics · Physics 2009-11-13 F. K. Roepke

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…

Solar and Stellar Astrophysics · Physics 2019-09-05 E P Hicks

A new premixed turbulent combustion model is proposed. It is based on one-dimensional (1D) filtering of density times progress variable and of the reaction source term of laminar premixed flame profiles using a filter kernel which reflects…

Fluid Dynamics · Physics 2021-12-21 Michael Pfitzner , Junsu Shin , Markus Klein

As lean premixed combustion systems are more susceptible to combustion instabilities than non-premixed systems, there is an increasing demand for improved numerical design tools that can predict the occurrence of combustion instabilities…

Fluid Dynamics · Physics 2015-05-19 Nils Erland L. Haugen , Øyvind Langørgen , Sigurd Sannan

A simplified phenomenological model is proposed to couple the long-wave Darrieus--Landau (DL) instability and the short-wave diffusive-thermal (DT) instability in premixed flames. By identifying a cubic coupling term in the linear…

Fluid Dynamics · Physics 2026-04-08 Prabakaran Rajamanickam

The present study addresses the reaction zone structure and burning mechanism of unstable detonations. Experiments investigated mainly two-dimensional methane-oxygen cellular detonations in a thin channel geometry. The sufficiently high…

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…

A simulation of the thermonuclear explosion of a Chandrasekhar-mass C+O white dwarf, the most popular scenario of a type Ia supernova (SN Ia), is presented. The underlying modeling is pursued in a self-consistent way, treating the…

Astrophysics · Physics 2009-11-13 F. K. Roepke , W. Hillebrandt , W. Schmidt , J. C. Niemeyer , S. I. Blinnikov , P. A. Mazzali

Flame propagation through a non-volatile solid-fuel suspension is studied using a simplified, time-dependent numerical model that considers the influence of both diffusional and kinetic rates on the particle combustion process. It is…