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

Richers, Sherwood and Nagakura, Hiroki and Ott, Christian D. and Dolence, Joshua and Sumiyoshi, Kohsuke and Yamada, Shoichi (2017) A Detailed Comparison of Multidimensional Boltzmann Neutrino Transport Methods in Core-collapse Supernovae. Astrophysical Journal, 847 (2). Art. No. 133. ISSN 1538-4357. doi:10.3847/1538-4357/aa8bb2.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Richers, Sherwood0000-0001-5031-6829
Nagakura, Hiroki0000-0002-7205-6367
Ott, Christian D.0000-0003-4993-2055
Sumiyoshi, Kohsuke0000-0002-9224-9449
Yamada, Shoichi0000-0002-2166-5605
Alternate Title:A Detailed Comparison of Multi-Dimensional Boltzmann Neutrino Transport Methods in Core-Collapse Supernovae
Additional Information:© 2017 The American Astronomical Society. Received 2017 June 19; revised 2017 September 8; accepted 2017 September 8; published 2017 October 3. We would like to acknowledge Ryan Wollaeger, Kendra Keady, Adam Burrows, David Radice, Luke Roberts, and Yuki Nishino for many insightful discussions of radiation transport methods. S.R. was supported by the National Science Foundation (NSF) Blue Waters Graduate Fellowship. This research is part of the Blue Waters sustained-petascale computing project, which is supported by the National Science Foundation (Grants No. OCI-0725070 and No. ACI-1238993) and the State of Illinois. Blue Waters is a joint effort of the University of Illinois at Urbana-Champaign and its National Center for Supercomputing Applications. This work benefited from access to the NSF XSEDE network under allocation TG-PHY100033 and to Blue Waters under PRAC award no. ACI-1440083. H.N. is supported in part by JSPS Postdoctoral Fellowships for Research Abroad No. 27-348. C.D.O. is supported in part by the International Research Unit of Advanced Future Studies at the Yukawa Institute for Theoretical Physics. This work is furthermore partially supported by the Sherman Fairchild Foundation and NSF under award nos. TCAN AST-1333520, CAREER PHY-1151197, and PHY-1404569. This work is supported by a Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science, and Technology (MEXT) of Japan (15K05093, 16H03986, 26104006) and the HPCI Strategic Program of Japanese MEXT and K computer at the RIKEN and Post-K project (Project ID: hpci 170304, 170230, 170031). J.D. acknowledges support from the Laboratory Directed Research and Development program at Los Alamos National Laboratory (LANL). Work at LANL by S.R. and J.D. was done under the auspices of the National Nuclear Security Administration of the US Department of Energy. This paper has been assigned Yukawa Institute for Theoretical Physics report number YITP-17-61.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
State of IllinoisUNSPECIFIED
Japan Society for the Promotion of Science (JSPS)27-348
Yukawa Institute for Theoretical PhysicsUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Ministry of Education, Culture, Sports, Science, and Technology (MEXT)15K05093
Ministry of Education, Culture, Sports, Science, and Technology (MEXT)16H03986
Ministry of Education, Culture, Sports, Science, and Technology (MEXT)26104006
Los Alamos National Laboratory (LANL)UNSPECIFIED
Department of Energy (DOE) National Nuclear Security AdministrationUNSPECIFIED
Subject Keywords:neutrinos; radiative transfer; supernovae: general
Issue or Number:2
Record Number:CaltechAUTHORS:20171003-130753873
Persistent URL:
Official Citation:Sherwood Richers et al 2017 ApJ 847 133
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81997
Deposited By: Tony Diaz
Deposited On:03 Oct 2017 20:26
Last Modified:15 Nov 2021 19:47

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