2006
DOI: 10.1051/0004-6361:20053618
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A localised subgrid scale model for fluid dynamical simulations in astrophysics

Abstract: 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 velocity fluctuations, we employ a new subgrid scale model which includes a localised treatment of the energy transfer through the turbulence cascade in combination with semistatistical closures for the dissipation and non-local transport of turbulence energy. In addition, sub… Show more

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Cited by 120 publications
(93 citation statements)
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“…We note that the sub-grid scale energy, which is of the order of 10 47 to 10 48 erg in turbulent deflagrations, is neglected here (see Fig. 1 in Schmidt et al 2006b). Figure 3a shows model GCD200, while Fig.…”
Section: High-resolution Simulation Of Model Gcd200mentioning
confidence: 99%
“…We note that the sub-grid scale energy, which is of the order of 10 47 to 10 48 erg in turbulent deflagrations, is neglected here (see Fig. 1 in Schmidt et al 2006b). Figure 3a shows model GCD200, while Fig.…”
Section: High-resolution Simulation Of Model Gcd200mentioning
confidence: 99%
“…On the one hand, the conditions under which the thermonuclear runaway commences remain poorly understood so that the initial number and distribution of flamelets that seed the runaway is still a free parameter. On the other hand, although significant progress has been made in simulating flame fronts in multidimensional stellar models (see García-Senz & Bravo 2005;Gamezo et al 2005;Schmidt et al 2006b;Röpke et al 2007a;Townsley et al 2007;Jordan et al 2008, for recent examples from several groups), the challenge associated with modeling an unresolved turbulent deflagration (e.g., Schmidt et al 2006a) with limited computational resources injects an additional degree of uncertainty into the outcome of a model for any given choice of initial conditions. Readers are referred to Hillebrandt & Niemeyer (2000) for a review of the challenges associated with modeling and validating the SNe Ia explosion mechanism, and Röpke (2006) for an update on the state of multidimensional modeling.…”
Section: Introductionmentioning
confidence: 99%
“…We used the N100 model from the set of three-dimensional delayed detonation simulations carried out by Seitenzahl et al (2013) with the thermonuclear supernova code L. For a detailed description of the applied techniques we refer the reader to Reinecke et al (1999), Röpke & Hillebrandt (2005), Schmidt et al (2006), Röpke & Niemeyer (2007), and to references therein.…”
Section: Explosion Modelsmentioning
confidence: 99%