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We present the new code ALCAR developed to model multidimensional, multi energy-group neutrino transport in the context of supernovae and neutron-star mergers. The algorithm solves the evolution equations of the 0th- and 1st-order angular…

High Energy Astrophysical Phenomena · Physics 2015-09-09 Oliver Just , Martin Obergaulinger , H. -Thomas Janka

Modeling core-collapse supernovae (CCSNe) with neutrino transport in three dimensions (3D) requires tremendous computing resources and some level of approximation. We present a first comparison study of CCSNe in 3D with different physics…

In one dimension, we present results from comparisons of stationary state multigroup flux-limited diffusion and Boltzmann neutrino transport, focusing on quantities central to the postbounce shock reheating. In two dimensions, we present…

Astrophysics · Physics 2007-05-23 Anthony Mezzacappa

We present an open-source update to the spherically-symmetric, general-relativistic hydrodynamics, core-collapse supernova (CCSN) code GR1D (O'Connor & Ott, 2010, CQG, 27, 114103). The source code is available at http://www.GR1Dcode.org. We…

High Energy Astrophysical Phenomena · Physics 2015-10-05 Evan O'Connor

The overwhelming evidence that the core collapse supernova mechanism is inherently multidimensional, the complexity of the physical processes involved, and the increasing evidence from simulations that the explosion is marginal presents…

We present results from the first generation of multi-dimensional hydrodynamic core-collapse simulations in full general relativity (GR) that include an approximate treatment of neutrino transport. Using a M1 closure scheme with an analytic…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Takami Kuroda , Kei Kotake , Tomoya Takiwaki

The neutrino mechanism of core-collapse supernova is investigated via non-relativistic, two-dimensional (2D), neutrino radiation-hydrodynamic simulations. For the transport of electron flavor neutrinos, we use the interaction rates defined…

High Energy Astrophysical Phenomena · Physics 2016-01-27 Kuo-Chuan Pan , Matthias Liebendörfer , Matthias Hempel , Friedrich-Karl Thielemann

With the Boltzmann-radiation-hydrodynamics code, which we have developed to solve numerically the Boltzmann equations for neutrino transfer, the Newtonian hydrodynamics equations, and the Newtonian self-gravity simultaneously and…

High Energy Astrophysical Phenomena · Physics 2019-03-08 Akira Harada , Hiroki Nagakura , Wakana Iwakami , Hirotada Okawa , Shun Furusawa , Hideo Matsufuru , Kohsuke Sumiyoshi , Shoichi Yamada

We derive a suite of generalized Boltzmann equations, based on the density-matrix formalism, that incorporates the physics of neutrino oscillations for two- and three-flavor oscillations, matter refraction, and self-refraction. The…

High Energy Physics - Phenomenology · Physics 2015-06-17 Yunfan Zhang , Adam Burrows

We present an implicit finite difference representation for general relativistic radiation hydrodynamics in spherical symmetry. Our code, Agile-Boltztran, solves the Boltzmann transport equation for the angular and spectral neutrino…

We have developed a time-dependent, multi-energy-group, and multi-angle (S$_n$) Boltzmann transport scheme for radiation hydrodynamics simulations, in one and two spatial dimensions. The implicit transport is coupled to both 1D…

Astrophysics · Physics 2009-11-10 Eli Livne , Adam Burrows , Rolf Walder , Itamar Lichtenstadt , Todd A. Thompson

We present the first results of our spatially axisymmetric core-collapse supernova simulations with full Boltzmann neutrino transport, which amount to a time-dependent 5-dimensional (2 in space and 3 in momentum space) problem in fact.…

We present results from simulations of core-collapse supernovae in FLASH using a newly-implemented multidimensional neutrino transport scheme and a newly-implemented general relativistic (GR) treatment of gravity. We use a two-moment method…

High Energy Astrophysical Phenomena · Physics 2018-04-09 Evan O'Connor , Sean Couch

Supernova models with a full spectral treatment of the neutrino transport are presented, employing the Prometheus/Vertex neutrino-hydrodynamics code with a ``ray-by-ray plus'' approximation for treating two- (or three-) dimensional…

Astrophysics · Physics 2008-11-26 R. Buras , M. Rampp , H. -Th. Janka , K. Kifonidis

This research addresses the numerical simulation of the Boltzmann transport equation for semiconductor devices by proposing a multidimensional self-adaptive numerical simulation framework. This framework is applied to two important…

Numerical Analysis · Mathematics 2025-09-22 Zeyu Zhang , Xiaoyu Zhang , Zhigang Song , Qing Fang

In this paper we give an introduction to the Boltzmann equation for neutrino transport used in core collapse supernova models as well as a detailed mathematical description of the \emph{Isotropic Diffusion Source Approximation} (IDSA).…

Solar and Stellar Astrophysics · Physics 2012-12-03 Heiko Berninger , Emmanuel Frenod , Martin Gander , Mathias Liebendörfer , Jérôme Michaud , Nicolas Vasset

Neutrinos are densely populated deep inside the core of massive stars after their gravitational collapse to produce supernova explosions and form compact stars such as neutron stars (NS) and black holes (BH). It has been considered that…

High Energy Astrophysical Phenomena · Physics 2019-05-29 Milad Delfan Azari , Shoichi Yamada , Taiki Morinaga , Wakana Iwakami , Hirotada Okawa , Hiroki Nagakura , Kohsuke Sumiyoshi

Two-dimensional hydrodynamic simulations of stellar core-collapse with and without rotation are presented which for the first time were performed by solving the Boltzmann equation for the neutrino transport including a state-of-the-art…

Astrophysics · Physics 2008-11-26 R. Buras , M. Rampp , H. -Th. Janka , K. Kifonidis

We have coded a Boltzmann solver based on a finite difference scheme (S_N method) aiming at calculations of neutrino transport in type II supernovae. Close comparison between the Boltzmann solver and a Monte Carlo transport code has been…

Astrophysics · Physics 2007-05-23 Shoichi Yamada , Hans-Thomas Janka , Hideyuki Suzuki

Neutrino transport in spherically symmetric models of stellar core collapse and bounce has achieved a technically complete level, rewarded by the agreement among independent groups that a multi-dimensional treatment of the…

Astrophysics · Physics 2008-11-26 M. Liebendoerfer , U. -L. Pen , C. Thompson