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Title: On Numerical Considerations for Modeling Reactive Astrophysical Shocks

Abstract

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 (Fryxell et al. 1989). 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. (1989). 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 Type Ia supernovae.

Authors:
 [1];  [1]
  1. ORNL
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC); USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1118751
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Astrophysical Journal
Additional Journal Information:
Journal Volume: 782; Journal Issue: 1; Journal ID: ISSN 0004-637X
Country of Publication:
United States
Language:
English

Citation Formats

Papatheodore, Thomas L, and Messer, Bronson. On Numerical Considerations for Modeling Reactive Astrophysical Shocks. United States: N. p., 2014. Web. doi:10.1088/0004-637X/782/1/12.
Papatheodore, Thomas L, & Messer, Bronson. On Numerical Considerations for Modeling Reactive Astrophysical Shocks. United States. doi:10.1088/0004-637X/782/1/12.
Papatheodore, Thomas L, and Messer, Bronson. Wed . "On Numerical Considerations for Modeling Reactive Astrophysical Shocks". United States. doi:10.1088/0004-637X/782/1/12.
@article{osti_1118751,
title = {On Numerical Considerations for Modeling Reactive Astrophysical Shocks},
author = {Papatheodore, Thomas L and Messer, Bronson},
abstractNote = {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 (Fryxell et al. 1989). 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. (1989). 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 Type Ia supernovae.},
doi = {10.1088/0004-637X/782/1/12},
journal = {Astrophysical Journal},
issn = {0004-637X},
number = 1,
volume = 782,
place = {United States},
year = {2014},
month = {1}
}

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