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Title: Fast explicit solutions for neutrino-electron scattering: Explicit asymptotic methods

Journal Article · · Physical Review. D.

Here, we present results of explicit asymptotic approximations applied to neutrino-electron scattering in a representative model of neutrino population evolution under conditions characteristic of core-collapse supernova explosions or binary neutron star mergers. It is shown that this approach provides stable solutions of these stiff systems of equations, with accuracy and time stepping comparable to that for standard implicit treatments such as backward Euler, fixed point iteration, and Anderson-accelerated fixed point iteration. Because each time step can be computed more rapidly with the explicit asymptotic approximation than with implicit methods, this suggests that algebraically stabilized explicit integration methods could be used to compute neutrino evolution coupled to hydrodynamics more efficiently in stellar explosions and mergers than the methods currently in use.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
2447256
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 10 Vol. 109; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (30)

A Quasi-Steady-State Solver for the Stiff Ordinary Differential Equations of Reaction Kinetics journal November 2000
Hydrodynamics of core-collapse supernovae and their progenitors journal June 2020
Neutrino transport in general relativistic neutron star merger simulations journal February 2023
Computational methods for nucleosynthesis and nuclear energy generation journal September 1999
GenASiS Basics: Object-oriented utilitarian functionality for large-scale physics simulations (Version 3) journal November 2019
Algebraic stabilization of explicit numerical integration for extremely stiff reaction networks journal June 2012
Explicit integration with GPU acceleration for large kinetic networks journal December 2015
Neutrino opacities in nuclear matter journal October 2006
The State of Matter in Simulations of Core-Collapse supernovae—Reflections and Recent Developments journal January 2017
Efficient GPU Accelerationfor Integrating Large Thermonuclear Networks in Astrophysics journal January 2016
The effect of neutrino transport on the collapse of iron stellar cores journal July 1987
Stellar core collapse - A Boltzmann treatment of neutrino-electron scattering journal June 1993
Symmetries in neutrino-electron scattering journal September 1994
Stellar core collapse - Numerical model and infall epoch journal August 1985
FLASH: An Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes journal November 2000
Shock Breakout in Core‐Collapse Supernovae and Its Neutrino Signature journal July 2003
A Finite Difference Representation of Neutrino Radiation Hydrodynamics in Spherically Symmetric General Relativistic Spacetime
  • Liebendorfer, Matthias; Messer, O. E. Bronson; Mezzacappa, Anthony
  • The Astrophysical Journal Supplement Series, Vol. 150, Issue 1 https://doi.org/10.1086/380191
journal January 2004
On the Requirements for Realistic Modeling of Neutrino Transport in Simulations of Core-Collapse Supernovae journal February 2012
Interplay of Neutrino Opacities in Core-Collapse Supernova Simulations journal November 2012
An Open-Source Neutrino Radiation Hydrodynamics code for Core-Collapse Supernovae journal August 2015
Explicit integration of extremely stiff reaction networks: asymptotic methods journal January 2013
Explicit integration of extremely stiff reaction networks: quasi-steady-state methods journal January 2013
Explicit integration of extremely stiff reaction networks: partial equilibrium methods journal January 2013
Relativistic radiative transfer: moment formalisms journal February 1981
Core-collapse supernova simulations in one and two dimensions: comparison of codes and approximations journal September 2018
Explosion Mechanisms of Core-Collapse Supernovae journal November 2012
THE DEVELOPMENT OF EXPLOSIONS IN AXISYMMETRIC AB INITIO CORE-COLLAPSE SUPERNOVA SIMULATIONS OF 12–25 ${M}_{\odot }$ STARS journal February 2016
Chimera: A Massively Parallel Code for Core-collapse Supernova Simulations journal April 2020
thornado-hydro: A Discontinuous Galerkin Method for Supernova Hydrodynamics with Nuclear Equations of State* journal March 2021
A DG-IMEX Method for Two-moment Neutrino Transport: Nonlinear Solvers for Neutrino–Matter Coupling* journal April 2021