A Detailed Comparison of Multidimensional Boltzmann Neutrino Transport Methods in Core-collapse Supernovae

Richers, Sherwood; Nagakura, Hiroki; Ott, Christian D.; Dolence, Joshua; Sumiyoshi, Kohsuke; Yamada, Shoichi

doi:10.3847/1538-4357/AA8BB2

Title: A Detailed Comparison of Multidimensional Boltzmann Neutrino Transport Methods in Core-collapse Supernovae

Journal Article · Sun Oct 01 00:00:00 EDT 2017 · Astrophysical Journal

DOI:https://doi.org/10.3847/1538-4357/AA8BB2· OSTI ID:22679786

Richers, Sherwood; Nagakura, Hiroki; Ott, Christian D. ^[1]; Dolence, Joshua ^[2]; Sumiyoshi, Kohsuke ^[3]; Yamada, Shoichi ^[4]

TAPIR, Walter Burke Institute for Theoretical Physics, Mail code 350-17, California Institute of Technology, Pasadena, CA 91125 (United States)
CCS-2, Los Alamos National Laboratory, P.O. Box 1663 Los Alamos, NM 87545 (United States)
Numazu College of Technology, Ooka 3600, Numazu, Shizuoka 410-8501 (Japan)
Advanced Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo 169-8555 (Japan)

The mechanism driving core-collapse supernovae is sensitive to the interplay between matter and neutrino radiation. However, neutrino radiation transport is very difficult to simulate, and several radiation transport methods of varying levels of approximation are available. We carefully compare for the first time in multiple spatial dimensions the discrete ordinates (DO) code of Nagakura, Yamada, and Sumiyoshi and the Monte Carlo (MC) code Sedonu, under the assumptions of a static fluid background, flat spacetime, elastic scattering, and full special relativity. We find remarkably good agreement in all spectral, angular, and fluid interaction quantities, lending confidence to both methods. The DO method excels in determining the heating and cooling rates in the optically thick region. The MC method predicts sharper angular features due to the effectively infinite angular resolution, but struggles to drive down noise in quantities where subtractive cancellation is prevalent, such as the net gain in the protoneutron star and off-diagonal components of the Eddington tensor. We also find that errors in the angular moments of the distribution functions induced by neglecting velocity dependence are subdominant to those from limited momentum-space resolution. We briefly compare directly computed second angular moments to those predicted by popular algebraic two-moment closures, and we find that the errors from the approximate closures are comparable to the difference between the DO and MC methods. Included in this work is an improved Sedonu code, which now implements a fully special relativistic, time-independent version of the grid-agnostic MC random walk approximation.

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OSTI ID:: 22679786

Journal Information:: Astrophysical Journal, Vol. 847, Issue 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 0004-637X

Country of Publication:: United States

Language:: English

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Simulations of Core-collapse Supernovae in Spatial Axisymmetry with Full Boltzmann Neutrino Transport Nagakura, Hiroki; Iwakami, Wakana; Furusawa, Shun The Astrophysical Journal, Vol. 854, Issue 2 https://doi.org/10.3847/1538-4357/aaac29	journal	February 2018
On the Neutrino Distributions in Phase Space for the Rotating Core-collapse Supernova Simulated with a Boltzmann-neutrino-radiation-hydrodynamics Code Harada, Akira; Nagakura, Hiroki; Iwakami, Wakana The Astrophysical Journal, Vol. 872, Issue 2 https://doi.org/10.3847/1538-4357/ab0203	journal	February 2019
Three-dimensional Boltzmann-hydro Code for Core-collapse in Massive Stars. III. A New Method for Momentum Feedback from Neutrino to Matter Nagakura, Hiroki; Sumiyoshi, Kohsuke; Yamada, Shoichi The Astrophysical Journal, Vol. 878, Issue 2 https://doi.org/10.3847/1538-4357/ab2189	journal	June 2019
One-, Two-, and Three-dimensional Simulations of Oxygen-shell Burning Just before the Core Collapse of Massive Stars Yoshida, Takashi; Takiwaki, Tomoya; Kotake, Kei The Astrophysical Journal, Vol. 881, Issue 1 https://doi.org/10.3847/1538-4357/ab2b9d	journal	August 2019
Fast-pairwise Collective Neutrino Oscillations Associated with Asymmetric Neutrino Emissions in Core-collapse Supernovae Nagakura, Hiroki; Morinaga, Taiki; Kato, Chinami The Astrophysical Journal, Vol. 886, Issue 2 https://doi.org/10.3847/1538-4357/ab4cf2	journal	November 2019
Comparing Treatments of Weak Reactions with Nuclei in Simulations of Core-collapse Supernovae Nagakura, Hiroki; Furusawa, Shun; Togashi, Hajime The Astrophysical Journal Supplement Series, Vol. 240, Issue 2 https://doi.org/10.3847/1538-4365/aafac9	journal	February 2019
The Progenitor Dependence of Core-collapse Supernovae from Three-dimensional Simulations with Progenitor Models of 12–40 M _⊙ Ott, Christian D.; Roberts, Luke F.; da Silva Schneider, André The Astrophysical Journal, Vol. 855, Issue 1 https://doi.org/10.3847/2041-8213/aaa967	journal	February 2018
Possible Early Linear Acceleration of Proto-neutron Stars via Asymmetric Neutrino Emission in Core-collapse Supernovae Nagakura, Hiroki; Sumiyoshi, Kohsuke; Yamada, Shoichi The Astrophysical Journal, Vol. 880, Issue 2 https://doi.org/10.3847/2041-8213/ab30ca	journal	July 2019
Resolution Study for Three-dimensional Supernova Simulations with the Prometheus-Vertex Code Melson, Tobias; Kresse, Daniel; Janka, Hans-Thomas The Astrophysical Journal, Vol. 891, Issue 1 https://doi.org/10.3847/1538-4357/ab72a7	journal	March 2020
Simulations of core-collapse supernovae in spatial axisymmetry with full Boltzmann neutrino transport Nagakura, Hiroki; Iwakami, Wakana; Furusawa, Shun arXiv https://doi.org/10.48550/arxiv.1702.01752	text	January 2017
Core-collapse supernova simulations in one and two dimensions: comparison of codes and approximations Just, Oliver; Bollig, Robert; Janka, Hans-Thomas arXiv https://doi.org/10.48550/arxiv.1805.03953	text	January 2018
A Successful 3D Core-Collapse Supernova Explosion Model Vartanyan, David; Burrows, Adam; Radice, David arXiv https://doi.org/10.48550/arxiv.1809.05106	text	January 2018
Comparing treatments of weak reactions with nuclei in simulations of core-collapse supernovae Nagakura, Hiroki; Furusawa, Shun; Togashi, Hajime arXiv https://doi.org/10.48550/arxiv.1812.09811	text	January 2018
Neutrino Quantum Kinetics in Compact Objects Richers, Sherwood A.; McLaughlin, Gail C.; Kneller, James P. arXiv https://doi.org/10.48550/arxiv.1903.00022	text	January 2019
One-, Two-, and Three-dimensional Simulations of Oxygen Shell Burning Just Before the Core-Collapse of Massive Stars Yoshida, Takashi; Takiwaki, Tomoya; Kotake, Kei arXiv https://doi.org/10.48550/arxiv.1903.07811	text	January 2019
Long-term Simulations of Multi-Dimensional Core-collapse Supernovae: Implications for Neutron Star Kicks Nakamura, Ko; Takiwaki, Tomoya; Kotake, Kei arXiv https://doi.org/10.48550/arxiv.1904.08088	text	January 2019
Global comparison of core-collapse supernova simulations in spherical symmetry O'Connor, Evan; Bollig, Robert; Burrows, Adam IOP Publishing https://doi.org/10.5451/unibas-ep69143	text	January 2018

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79 ASTROPHYSICS
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APPROXIMATIONS
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DISCRETE ORDINATE METHOD
DISTRIBUTION
DISTRIBUTION FUNCTIONS
ELASTIC SCATTERING
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Title: A Detailed Comparison of Multidimensional Boltzmann Neutrino Transport Methods in Core-collapse Supernovae

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