NEUTRINO TRANSFER IN THREE DIMENSIONS FOR CORE-COLLAPSE SUPERNOVAE. I. STATIC CONFIGURATIONS

Journal Article · Thu Mar 01 00:00:00 EST 2012 · Astrophysical Journal, Supplement Series

DOI:https://doi.org/10.1088/0067-0049/199/1/17· OSTI ID:22047965

Sumiyoshi, K ^[1]; Yamada, S ^[2]

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1. Numazu College of Technology, Ooka 3600, Numazu, Shizuoka 410-8501 (Japan)
2. Science and Engineering and Advanced Research Institute for Science and Engineering, Waseda University, Okubo 3-4-1, Shinjuku, Tokyo 169-8555 (Japan)

We develop a numerical code to calculate the neutrino transfer with multi-energy and multi-angle in three dimensions (3D) for the study of core-collapse supernovae. The numerical code solves the Boltzmann equations for neutrino distributions by the discrete-ordinate (S{sub n} ) method with a fully implicit differencing for time advance. The Boltzmann equations are formulated in the inertial frame with collision terms being evaluated to the zeroth order of v/c. A basic set of neutrino reactions for three neutrino species is implemented together with a realistic equation of state of dense matter. The pair process is included approximately in order to keep the system linear. We present numerical results for a set of test problems to demonstrate the ability of the code. The numerical treatments of advection and collision terms are validated first in the diffusion and free-streaming limits. Then we compute steady neutrino distributions for a background extracted from a spherically symmetric, general relativistic simulation of a 15 M{sub Sun} star and compare them with the results in the latter computation. We also demonstrate multi-dimensional capabilities of the 3D code solving neutrino transfers for artificially deformed supernova cores in 2D and 3D. Formal solutions along neutrino paths are utilized as exact solutions. We plan to apply this code to the 3D neutrino-radiation hydrodynamics simulations of supernovae. This is the first article in a series of reports on the development.

• OSTI ID: 22047965
• Journal Information: Astrophysical Journal, Supplement Series, Vol. 199, Issue 1; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 0067-0049
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
BOLTZMANN EQUATION
COMPARATIVE EVALUATIONS
COMPUTER CODES
COMPUTERIZED SIMULATION
COSMOLOGY
DIFFUSION
DISCRETE ORDINATE METHOD
EQUATIONS OF STATE
EXACT SOLUTIONS
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
HYDRODYNAMICS
NEUTRINO REACTIONS
NEUTRINOS
RADIANT HEAT TRANSFER
RELATIVISTIC RANGE
SUPERNOVAE
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS