2013/12/19 by Thomas L. Papatheodore, Thomas Papatheodore, Bronson Messer +1 · 12 citations
Chemistry · Mathematics · Physics and Astronomy · #Astro and Planetary Science #Astrophysics #Astrophysics and Star Formation Studies #Chemistry #Curse of dimensionality #Detonation #Dimension (graph theory) #Explosive material #Gamma-ray bursts and supernovae #Mathematics #Mechanics #Observable #Physics #Quantum mechanics #Shock (circulatory) #Shock wave #Statistical physics #Statistics #Supernova #astro-ph.SR
paper · pdf · doi:10.1088/0004-637x/782/1/12
published in The Astrophysical Journal 782(1), 12 (IOP Publishing) · 11 pages, 9 figures
arxiv created 2013/12/19 · openalex publication_date 2014/01/21 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Simulating detonations in astrophysical environments is often complicated by numerical approximations to shock structure. A common prescription to ensure correct detonation speeds and associated quantities is to prohibit burning inside the numerically broadened shock. We have performed a series of simulations to verify the efficacy of this approximation and to understand how resolution and dimensionality might affect its use. Our results show that in one dimension, prohibiting burning in the shock is important wherever the carbon burning length is not resolved, in keeping with the results of Fryxell et al. In two dimensions, we find that the prohibition of shock burning effectively inhibits the development of cellular structure for all but the most highly resolved cases. We discuss the possible impacts this outcome may have on sub-grid models and detonation propagation in models of Type Ia supernovae, including potential impacts on observables.