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thornado-transport: IMEX schemes for two-moment neutrino transport respecting Fermi-Dirac statistics

Conference ·
 [1];  [1];  [1];  [1];  [1]
  1. ORNL
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We develop implicit-explicit (IMEX) schemes for neutrino transport in a background material in the context of a two-moment model that evolves the angular moments of a neutrino phase-space distribution function. Considering the upper and lower bounds that are introduced by Pauli's exclusion principle on the moments, an algebraic moment closure based on Fermi-Dirac statistics and a convex-invariant time integrator both are demanded. A finite-volume/first-order discontinuous Galerkin(DG) method is used to illustrate how an algebraic moment closure based on Fermi-Dirac statistics is needed to satisfy the bounds. Several algebraic closures are compared with these bounds in mind, and the Cernohorsky and Bludman closure, which satisfies the bounds, is chosen for our IMEX schemes. For the convex-invariant time integrator, two IMEX schemes named PD-ARS have been proposed. PD-ARS denotes a convex-invariant IMEX Runge-Kutta scheme that is high-order accurate in the streaming limit, and works well in the diffusion limit. Our two PD-ARS schemes use second-and third-order, explicit, strong-stability-preserving Runge-Kutta methods as their explicit part, respectively, and therefore are second-and third-order accurate in the streaming limit, respectively. The accuracy and convex-invariance of our PD-ARS schemes are demonstrated in the numerical tests with a third-order DG method for spatial discretization and a simple Lax-Friedrichs flux. The method has been implemented in our high-order neutrino-radiation hydrodynamics (thornado) toolkit. We show preliminary results employing tabulated neutrino opacities.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
DOE Contract Number:
AC05-00OR22725
OSTI ID:
1550754
Country of Publication:
United States
Language:
English

References (45)

Explosion Mechanisms of Core-Collapse Supernovae journal November 2012
A TWO-MOMENT RADIATION HYDRODYNAMICS MODULE IN ATHENA USING A TIME-EXPLICIT GODUNOV METHOD journal June 2013
Theory of core-collapse supernovae journal April 2007
Conservative 3 + 1 general relativistic Boltzmann equation journal July 2013
Entropic derivation of the spectral Eddington factors journal October 2011
Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term journal January 2015
Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations journal January 2013
Relating Eddington factors to flux limiters journal February 1984
Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae journal September 2018
General-Relativistic Three-Dimensional Multi-Group Neutrino Radiation-Hydrodynamics Simulations of Core-Collapse Supernovae journal October 2016
The Status of Multi-Dimensional Core-Collapse Supernova Models journal January 2016
Stellar core collapse - A Boltzmann treatment of neutrino-electron scattering journal June 1993
Type II supernovae and Boltzmann neutrino transport - The infall phase journal March 1993
Neutrino flow and the Collapse of Stellar Cores journal October 1975
Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation journal January 2018
Simulation of the Spherically Symmetric Stellar Core Collapse, Bounce, and Postbounce Evolution of a Star of 13 Solar Masses with Boltzmann Neutrino Transport, and Its Implications for the Supernova Mechanism journal March 2001
Properties of Neutrino-driven Ejecta from the Remnant of a Binary Neutron Star Merger: Pure Radiation Hydrodynamics Case journal September 2017
Multi-Dimensional Features of Neutrino Transfer in Core-Collapse Supernovae journal December 2014
A new Multi-Energy Neutrino Radiation-Hydrodynamics code in full General Relativity and its Application to the Gravitational Collapse of Massive Stars journal February 2016
A Numerical Example of the Collapse of a Rotating Magnetized Star journal August 1970
Colloquium : Perspectives on core-collapse supernova theory journal February 2013
Two‐dimensional, Time‐dependent, Multigroup, Multiangle Radiation Hydrodynamics Test Simulation in the Core‐Collapse Supernova Context journal July 2004
A new spherical harmonics scheme for multi-dimensional radiation transport I. Static matter configurations journal June 2013
Low-storage implicit/explicit Runge–Kutta schemes for the simulation of stiff high-dimensional ODE systems journal April 2015
Two‐Dimensional Multiangle, Multigroup Neutrino Radiation‐Hydrodynamic Simulations of Postbounce Supernova Cores journal October 2008
Semi-implicit time integration for thermal radiative transfer journal August 2008
Order conditions for numerical methods for partitioned ordinary differential equations journal December 1981
Neutrino Transfer in Three Dimensions for Core-Collapse Supernovae. i. Static Configurations journal February 2012
Strong Stability-Preserving High-Order Time Discretization Methods journal January 2001
A numerical method for solving the neutrino Boltzmann equation coupled to spherically symmetric stellar core collapse journal March 1993
Maximum entropy Eddington factors journal December 1978
The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V journal April 1998
Stellar core collapse - Numerical model and infall epoch journal August 1985
Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity journal June 2011
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
Three-Dimensional Boltzmann Hydro code for core Collapse in Massive Stars. i. Special Relativistic Treatments journal September 2014
Analytic closures for M1 neutrino transport journal April 2017
A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model journal March 2017
Simulations of Core-collapse Supernovae in Spatial Axisymmetry with Full Boltzmann Neutrino Transport journal February 2018
Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport journal September 1994
Post-merger evolution of a neutron star-black hole binary with neutrino transport journal June 2015
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations journal November 1997
Efficient implementation of essentially non-oscillatory shock-capturing schemes journal August 1988
Supernova Simulations with Boltzmann Neutrino Transport: A Comparison of Methods journal February 2005
ASCERTAINING THE CORE COLLAPSE SUPERNOVA MECHANISM: The State of the Art and the Road Ahead journal December 2005

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