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Title: Numerical Stability of Detonations in White Dwarf Simulations

Abstract

Some simulations of Type Ia supernovae feature self-consistent thermonuclear detonations. However, these detonations are not meaningful if the simulations are not resolved, so it is important to establish the requirements for achieving a numerically converged detonation. In this study we examine a test detonation problem inspired by collisions of white dwarfs. This test problem demonstrates that achieving a converged thermonuclear ignition requires spatial resolution much finer than 1 km in the burning region. Current computational resource constraints place this stringent resolution requirement out of reach for multi-dimensional supernova simulations. Consequently, contemporary simulations that self-consistently demonstrate detonations are possibly not converged and should be treated with caution.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. NVIDIA Corporation, Santa Clara, CA (United States)
  2. Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Stony Brook Univ., NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1529952
Alternate Identifier(s):
OSTI ID: 1593460
Grant/Contract Number:  
FG02-87ER40317; AC05-00OR22725; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 874; Journal Issue: 2; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Katz, Max P., and Zingale, Michael. Numerical Stability of Detonations in White Dwarf Simulations. United States: N. p., 2019. Web. doi:10.3847/1538-4357/ab0c00.
Katz, Max P., & Zingale, Michael. Numerical Stability of Detonations in White Dwarf Simulations. United States. https://doi.org/10.3847/1538-4357/ab0c00
Katz, Max P., and Zingale, Michael. Thu . "Numerical Stability of Detonations in White Dwarf Simulations". United States. https://doi.org/10.3847/1538-4357/ab0c00. https://www.osti.gov/servlets/purl/1529952.
@article{osti_1529952,
title = {Numerical Stability of Detonations in White Dwarf Simulations},
author = {Katz, Max P. and Zingale, Michael},
abstractNote = {Some simulations of Type Ia supernovae feature self-consistent thermonuclear detonations. However, these detonations are not meaningful if the simulations are not resolved, so it is important to establish the requirements for achieving a numerically converged detonation. In this study we examine a test detonation problem inspired by collisions of white dwarfs. This test problem demonstrates that achieving a converged thermonuclear ignition requires spatial resolution much finer than 1 km in the burning region. Current computational resource constraints place this stringent resolution requirement out of reach for multi-dimensional supernova simulations. Consequently, contemporary simulations that self-consistently demonstrate detonations are possibly not converged and should be treated with caution.},
doi = {10.3847/1538-4357/ab0c00},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 874,
place = {United States},
year = {Thu Apr 04 00:00:00 EDT 2019},
month = {Thu Apr 04 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 9 works
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Works referenced in this record:

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Works referencing / citing this record:

Adaptive Clustering via Symmetric Nonnegative Matrix Factorization of the Similarity Matrix
journal, October 2019

  • Favati, Paola; Lotti, Grazia; Menchi, Ornella
  • Algorithms, Vol. 12, Issue 10
  • DOI: 10.3390/a12100216

Carbon Detonation Initiation in Turbulent Electron-degenerate Matter
journal, May 2019

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  • DOI: 10.3847/1538-4357/ab15d8

Evidence for Sub-Chandrasekhar Type Ia Supernovae from Stellar Abundances in Dwarf Galaxies
journal, August 2019

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  • The Astrophysical Journal, Vol. 881, Issue 1
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Improved Coupling of Hydrodynamics and Nuclear Reactions via Spectral Deferred Corrections
journal, November 2019


Explosive Nucleosynthesis in Sub-Chandrasekhar-mass White Dwarf Models for Type Ia Supernovae: Dependence on Model Parameters
journal, January 2020


Double Detonations with Thin, Modestly Enriched Helium Layers can Make Normal Type Ia Supernovae
journal, June 2019

  • Townsley, Dean M.; Miles, Broxton J.; Shen, Ken J.
  • The Astrophysical Journal, Vol. 878, Issue 2
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Carbon Detonation Initiation in Turbulent Electron-Degenerate Matter
text, January 2018


Double Detonations with Thin, Modestly Enriched Helium Layers Can Make Normal Type Ia Supernovae
text, January 2019


Preparing Nuclear Astrophysics for Exascale
preprint, January 2020