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Title: White Dwarf Mergers On Adaptive Meshes. I. Methodology And Code Verification

Abstract

The Type Ia supernova (SN Ia) progenitor problem is one of the most perplexing and exciting problems in astrophysics, requiring detailed numerical modeling to complement observations of these explosions. One possible progenitor that has merited recent theoretical attention is the white dwarf (WD) merger scenario, which has the potential to naturally explain many of the observed characteristics of SNe Ia. To date there have been relatively few self-consistent simulations of merging WD systems using mesh-based hydrodynamics. This is the first study in a series describing simulations of these systems using a hydrodynamics code with adaptive mesh refinement. In this paper we describe our numerical methodology and discuss our implementation in the compressible hydrodynamics code CASTRO, which solves the Euler equations, and the Poisson equation for self-gravity, and couples the gravitational and rotation forces to the hydrodynamics. Standard techniques for coupling gravitation and rotation forces to the hydrodynamics do not adequately conserve the total energy of the system for our problem, but recent advances in the literature allow progress and we discuss our implementation here. We present a set of test problems demonstrating the extent to which our software sufficiently models a system where large amounts of mass are advected onmore » the computational domain over long timescales. Finally, future papers in this series will describe our treatment of the initial conditions of these systems and will examine the early phases of the merger to determine its viability for triggering a thermonuclear detonation.« less

Authors:
 [1];  [1];  [2];  [1];  [3];  [3]
  1. Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy
  2. Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy. Inst. for Advanced Computational Sciences
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Center for Computational Sciences and Engineering
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); National Science Foundation (NSF); Empire State Development (United States)
OSTI Identifier:
1440920
Grant/Contract Number:  
AC02-05CH11231; AC05-00OR22725; AST-1211563; OCI-0725070; ACI-1238993; ACI-1053575; NYS #28451
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 819; 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; 97 MATHEMATICS AND COMPUTING; hydrodynamics; numerical methods; supernovae; white dwarfs

Citation Formats

Katz, Max P., Zingale, Michael, Calder, Alan C., Swesty, F. Douglas, Almgren, Ann S., and Zhang, Weiqun. White Dwarf Mergers On Adaptive Meshes. I. Methodology And Code Verification. United States: N. p., 2016. Web. doi:10.3847/0004-637X/819/2/94.
Katz, Max P., Zingale, Michael, Calder, Alan C., Swesty, F. Douglas, Almgren, Ann S., & Zhang, Weiqun. White Dwarf Mergers On Adaptive Meshes. I. Methodology And Code Verification. United States. doi:10.3847/0004-637X/819/2/94.
Katz, Max P., Zingale, Michael, Calder, Alan C., Swesty, F. Douglas, Almgren, Ann S., and Zhang, Weiqun. Wed . "White Dwarf Mergers On Adaptive Meshes. I. Methodology And Code Verification". United States. doi:10.3847/0004-637X/819/2/94. https://www.osti.gov/servlets/purl/1440920.
@article{osti_1440920,
title = {White Dwarf Mergers On Adaptive Meshes. I. Methodology And Code Verification},
author = {Katz, Max P. and Zingale, Michael and Calder, Alan C. and Swesty, F. Douglas and Almgren, Ann S. and Zhang, Weiqun},
abstractNote = {The Type Ia supernova (SN Ia) progenitor problem is one of the most perplexing and exciting problems in astrophysics, requiring detailed numerical modeling to complement observations of these explosions. One possible progenitor that has merited recent theoretical attention is the white dwarf (WD) merger scenario, which has the potential to naturally explain many of the observed characteristics of SNe Ia. To date there have been relatively few self-consistent simulations of merging WD systems using mesh-based hydrodynamics. This is the first study in a series describing simulations of these systems using a hydrodynamics code with adaptive mesh refinement. In this paper we describe our numerical methodology and discuss our implementation in the compressible hydrodynamics code CASTRO, which solves the Euler equations, and the Poisson equation for self-gravity, and couples the gravitational and rotation forces to the hydrodynamics. Standard techniques for coupling gravitation and rotation forces to the hydrodynamics do not adequately conserve the total energy of the system for our problem, but recent advances in the literature allow progress and we discuss our implementation here. We present a set of test problems demonstrating the extent to which our software sufficiently models a system where large amounts of mass are advected on the computational domain over long timescales. Finally, future papers in this series will describe our treatment of the initial conditions of these systems and will examine the early phases of the merger to determine its viability for triggering a thermonuclear detonation.},
doi = {10.3847/0004-637X/819/2/94},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 819,
place = {United States},
year = {2016},
month = {3}
}

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