Towards an understanding of the resolution dependence of Core-Collapse Supernova simulations
Abstract
ABSTRACT Using our new state-of-the-art core-collapse supernova (CCSN) code Fornax, we explore the dependence upon spatial resolution of the outcome and character of three-dimensional (3D) supernova simulations. For the same 19 M⊙ progenitor star, energy and radial binning, neutrino microphysics, and nuclear equation of state, changing only the number of angular bins in the θ and ϕ directions, we witness that our lowest resolution 3D simulation does not explode. However, when jumping progressively up in resolution by factors of two in each angular direction on our spherical-polar grid, models then explode, and explode slightly more vigorously with increasing resolution. This suggests that there can be a qualitative dependence of the outcome of 3D CCSN simulations upon spatial resolution. The critical aspect of higher spatial resolution is the adequate capturing of the physics of neutrino-driven turbulence, in particular its Reynolds stress. The greater numerical viscosity of lower resolution simulations results in greater drag on the turbulent eddies that embody turbulent stress, and, hence, in a diminution of their vigor. Turbulent stress not only pushes the temporarily stalled shock further out, but bootstraps a concomitant increase in the deposited neutrino power. Both effects together lie at the core of the resolution dependence wemore »
- Authors:
-
- Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544, USA
- Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544, USA, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, USA
- Publication Date:
- Research Org.:
- Univ. of California, Oakland, CA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States); Univ. of California, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1670209
- Alternate Identifier(s):
- OSTI ID: 1803353
- Grant/Contract Number:
- SC0018297; AC03-76SF00098; AC02-06CH11357
- Resource Type:
- Published Article
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Name: Monthly Notices of the Royal Astronomical Society Journal Volume: 490 Journal Issue: 4; Journal ID: ISSN 0035-8711
- Publisher:
- Oxford University Press
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; supernovae: general
Citation Formats
Nagakura, Hiroki, Burrows, Adam, Radice, David, and Vartanyan, David. Towards an understanding of the resolution dependence of Core-Collapse Supernova simulations. United Kingdom: N. p., 2019.
Web. doi:10.1093/mnras/stz2730.
Nagakura, Hiroki, Burrows, Adam, Radice, David, & Vartanyan, David. Towards an understanding of the resolution dependence of Core-Collapse Supernova simulations. United Kingdom. https://doi.org/10.1093/mnras/stz2730
Nagakura, Hiroki, Burrows, Adam, Radice, David, and Vartanyan, David. Thu .
"Towards an understanding of the resolution dependence of Core-Collapse Supernova simulations". United Kingdom. https://doi.org/10.1093/mnras/stz2730.
@article{osti_1670209,
title = {Towards an understanding of the resolution dependence of Core-Collapse Supernova simulations},
author = {Nagakura, Hiroki and Burrows, Adam and Radice, David and Vartanyan, David},
abstractNote = {ABSTRACT Using our new state-of-the-art core-collapse supernova (CCSN) code Fornax, we explore the dependence upon spatial resolution of the outcome and character of three-dimensional (3D) supernova simulations. For the same 19 M⊙ progenitor star, energy and radial binning, neutrino microphysics, and nuclear equation of state, changing only the number of angular bins in the θ and ϕ directions, we witness that our lowest resolution 3D simulation does not explode. However, when jumping progressively up in resolution by factors of two in each angular direction on our spherical-polar grid, models then explode, and explode slightly more vigorously with increasing resolution. This suggests that there can be a qualitative dependence of the outcome of 3D CCSN simulations upon spatial resolution. The critical aspect of higher spatial resolution is the adequate capturing of the physics of neutrino-driven turbulence, in particular its Reynolds stress. The greater numerical viscosity of lower resolution simulations results in greater drag on the turbulent eddies that embody turbulent stress, and, hence, in a diminution of their vigor. Turbulent stress not only pushes the temporarily stalled shock further out, but bootstraps a concomitant increase in the deposited neutrino power. Both effects together lie at the core of the resolution dependence we observe.},
doi = {10.1093/mnras/stz2730},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 4,
volume = 490,
place = {United Kingdom},
year = {Thu Oct 03 00:00:00 EDT 2019},
month = {Thu Oct 03 00:00:00 EDT 2019}
}
https://doi.org/10.1093/mnras/stz2730
Works referenced in this record:
Convection, type II supernovae, and the early evolution of neutron stars
journal, June 1988
- Burrows, A.
- Physics Reports, Vol. 163, Issue 1-3
Theoretical support for the hydrodynamic mechanism of pulsar kicks
journal, November 2010
- Nordhaus, J.; Brandt, T. D.; Burrows, A.
- Physical Review D, Vol. 82, Issue 10
One-, Two-, and Three-dimensional Simulations of Oxygen-shell Burning Just before the Core Collapse of Massive Stars
journal, August 2019
- Yoshida, Takashi; Takiwaki, Tomoya; Kotake, Kei
- The Astrophysical Journal, Vol. 881, Issue 1
Neutrino opacities in nuclear matter
journal, October 2006
- Burrows, Adam; Reddy, Sanjay; Thompson, Todd A.
- Nuclear Physics A, Vol. 777
An Investigation into the Character of Pre-Explosion Core-Collapse Supernova Shock Motion
journal, October 2012
- Burrows, Adam; Dolence, Joshua C.; Murphy, Jeremiah W.
- The Astrophysical Journal, Vol. 759, Issue 1
Equations of state for supernovae and compact stars
journal, March 2017
- Oertel, M.; Hempel, M.; Klähn, T.
- Reviews of Modern Physics, Vol. 89, Issue 1
Revival of the fittest: exploding core-collapse supernovae from 12 to 25 M⊙
journal, March 2018
- Vartanyan, David; Burrows, Adam; Radice, David
- Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 3
Three-dimensional Core-collapse Supernova Simulations with Multidimensional Neutrino Transport Compared to the Ray-by-ray-plus Approximation
journal, March 2019
- Glas, Robert; Just, Oliver; Janka, H. -Thomas
- The Astrophysical Journal, Vol. 873, Issue 1
The Gravitational Wave Signal from Core-collapse Supernovae
journal, June 2018
- Morozova, Viktoriya; Radice, David; Burrows, Adam
- The Astrophysical Journal, Vol. 861, Issue 1
An axis-free overset grid in spherical polar coordinates for simulating 3D self-gravitating flows
journal, May 2010
- Wongwathanarat, A.; Hammer, N. J.; Müller, E.
- Astronomy and Astrophysics, Vol. 514
Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy
journal, October 2017
- Tews, Ingo; Lattimer, James M.; Ohnishi, Akira
- The Astrophysical Journal, Vol. 848, Issue 2
“Yin-Yang grid”: An overset grid in spherical geometry: SPHERICAL OVERSET GRID “YIN-YANG GRID”
journal, September 2004
- Kageyama, Akira; Sato, Tetsuya
- Geochemistry, Geophysics, Geosystems, Vol. 5, Issue 9
Inside the supernova: A powerful convective engine
journal, November 1994
- Herant, Marc; Benz, Willy; Hix, W. Raphael
- The Astrophysical Journal, Vol. 435
Neutrino-nucleon scattering in supernova matter from the virial expansion
journal, February 2017
- Horowitz, C. J.; Caballero, O. L.; Lin, Zidu
- Physical Review C, Vol. 95, Issue 2
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
- Kuroda, Takami; Takiwaki, Tomoya; Kotake, Kei
- The Astrophysical Journal Supplement Series, Vol. 222, Issue 2
Structure of Turbulent Velocity and Scalar Fields at Large Wavenumbers
journal, January 1965
- Pao, Yih-Ho
- Physics of Fluids, Vol. 8, Issue 6
Rotation-supported Neutrino-driven Supernova Explosions in Three Dimensions and the Critical Luminosity Condition
journal, January 2018
- Summa, Alexander; Janka, Hans-Thomas; Melson, Tobias
- The Astrophysical Journal, Vol. 852, Issue 1
Medium modification of the charged-current neutrino opacity and its implications
journal, December 2012
- Roberts, L. F.; Reddy, Sanjay; Shen, Gang
- Physical Review C, Vol. 86, Issue 6
Non-radial instabilities and progenitor asphericities in core-collapse supernovae
journal, February 2015
- Müller, B.; Janka, H. -Th.
- Monthly Notices of the Royal Astronomical Society, Vol. 448, Issue 3
Many-body corrections to charged-current neutrino absorption rates in nuclear matter
journal, January 1999
- Burrows, Adam; Sawyer, R. F.
- Physical Review C, Vol. 59, Issue 1
Charged current neutrino interactions in hot and dense matter
journal, April 2017
- Roberts, Luke F.; Reddy, Sanjay
- Physical Review C, Vol. 95, Issue 4
Simulations of Core-collapse Supernovae in Spatial Axisymmetry with Full Boltzmann Neutrino Transport
journal, February 2018
- Nagakura, Hiroki; Iwakami, Wakana; Furusawa, Shun
- The Astrophysical Journal, Vol. 854, Issue 2
Three-dimensional supernova explosion simulations of 9-, 10-, 11-, 12-, and 13-M⊙ stars
journal, February 2019
- Burrows, Adam; Radice, David; Vartanyan, David
- Monthly Notices of the Royal Astronomical Society, Vol. 485, Issue 3
Effects of correlations on neutrino opacities in nuclear matter
journal, July 1998
- Burrows, Adam; Sawyer, R. F.
- Physical Review C, Vol. 58, Issue 1
Modeling Core-Collapse Supernovae in Three Dimensions
journal, July 2002
- Fryer, Chris L.; Warren, Michael S.
- The Astrophysical Journal, Vol. 574, Issue 1
Should one use the Ray-By-Ray Approximation in Core-Collapse Supernova Simulations?
journal, October 2016
- Skinner, M. Aaron; Burrows, Adam; Dolence, Joshua C.
- The Astrophysical Journal, Vol. 831, Issue 1
Three-dimensional simulations of rapidly rotating core-collapse supernovae: finding a neutrino-powered explosion aided by non-axisymmetric flows
journal, May 2016
- Takiwaki, Tomoya; Kotake, Kei; Suwa, Yudai
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 461, Issue 1
Anisotropic emission of neutrino and gravitational-wave signals from rapidly rotating core-collapse supernovae
journal, January 2018
- Takiwaki, Tomoya; Kotake, Kei
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 475, Issue 1
Nuclear equation of state for core-collapse supernova simulations with realistic nuclear forces
journal, May 2017
- Togashi, H.; Nakazato, K.; Takehara, Y.
- Nuclear Physics A, Vol. 961
Colloquium : Perspectives on core-collapse supernova theory
journal, February 2013
- Burrows, Adam
- Reviews of Modern Physics, Vol. 85, Issue 1
THREE-DIMENSIONAL CORE-COLLAPSE SUPERNOVA SIMULATED USING A 15 M ⊙ PROGENITOR
journal, July 2015
- Lentz, Eric J.; Bruenn, Stephen W.; Hix, W. Raphael
- The Astrophysical Journal, Vol. 807, Issue 2
Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae
journal, September 2018
- O’Connor, Evan P.; Couch, Sean M.
- The Astrophysical Journal, Vol. 865, Issue 2
Criteria for Core‐Collapse Supernova Explosions by the Neutrino Mechanism
journal, December 2008
- Murphy, Jeremiah W.; Burrows, Adam
- The Astrophysical Journal, Vol. 688, Issue 2
Characterizing the Gravitational Wave Signal from Core-collapse Supernovae
journal, April 2019
- Radice, David; Morozova, Viktoriya; Burrows, Adam
- The Astrophysical Journal, Vol. 876, Issue 1
Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity
journal, June 2011
- Shibata, M.; Kiuchi, K.; Sekiguchi, Y. -i.
- Progress of Theoretical Physics, Vol. 125, Issue 6
Revival of a stalled supernova shock by neutrino heating
journal, August 1985
- Bethe, H. A.; Wilson, J. R.
- The Astrophysical Journal, Vol. 295
Fornax: A Flexible Code for Multiphysics Astrophysical Simulations
journal, February 2019
- Skinner, M. Aaron; Dolence, Joshua C.; Burrows, Adam
- The Astrophysical Journal Supplement Series, Vol. 241, Issue 1
A successful 3D core-collapse supernova explosion model
journal, September 2018
- Vartanyan, David; Burrows, Adam; Radice, David
- Monthly Notices of the Royal Astronomical Society, Vol. 482, Issue 1
Progenitor-Dependent Explosion Dynamics in Self-Consistent, Axisymmetric Simulations of Neutrino-Driven Core-Collapse Supernovae
journal, June 2016
- Summa, Alexander; Hanke, Florian; Janka, Hans-Thomas
- The Astrophysical Journal, Vol. 825, Issue 1
Shock Breakout in Core‐Collapse Supernovae and Its Neutrino Signature
journal, July 2003
- Thompson, Todd A.; Burrows, Adam; Pinto, Philip A.
- The Astrophysical Journal, Vol. 592, Issue 1
Neutrino-Driven Turbulent Convection and Standing Accretion Shock Instability in Three-Dimensional Core-Collapse Supernovae
journal, July 2015
- Abdikamalov, Ernazar; Ott, Christian D.; Radice, David
- The Astrophysical Journal, Vol. 808, Issue 1
On the Nature of Core-Collapse Supernova Explosions
journal, September 1995
- Burrows, Adam; Hayes, John; Fryxell, Bruce A.
- The Astrophysical Journal, Vol. 450
General-Relativistic Three-Dimensional Multi-Group Neutrino Radiation-Hydrodynamics Simulations of Core-Collapse Supernovae
journal, October 2016
- Roberts, Luke F.; Ott, Christian D.; Haas, Roland
- The Astrophysical Journal, Vol. 831, Issue 1
THREE-DIMENSIONAL HYDRODYNAMIC CORE-COLLAPSE SUPERNOVA SIMULATIONS FOR AN 11.2 M ☉ STAR WITH SPECTRAL NEUTRINO TRANSPORT
journal, March 2012
- Takiwaki, Tomoya; Kotake, Kei; Suwa, Yudai
- The Astrophysical Journal, Vol. 749, Issue 2
A Comparison of two- and Three-Dimensional Neutrino-Hydrodynamics Simulations of Core-Collapse Supernovae
journal, April 2014
- Takiwaki, Tomoya; Kotake, Kei; Suwa, Yudai
- The Astrophysical Journal, Vol. 786, Issue 2
Stability of Standing Accretion Shocks, with an Eye toward Core‐Collapse Supernovae
journal, February 2003
- Blondin, John M.; Mezzacappa, Anthony; DeMarino, Christine
- The Astrophysical Journal, Vol. 584, Issue 2
Neutrino‐driven Convection versus Advection in Core‐Collapse Supernovae
journal, December 2006
- Foglizzo, T.; Scheck, L.; Janka, H. ‐Th.
- The Astrophysical Journal, Vol. 652, Issue 2
Weak magnetism for antineutrinos in supernovae
journal, January 2002
- Horowitz, C. J.
- Physical Review D, Vol. 65, Issue 4
The Explosion Mechanism of Core-Collapse Supernovae: Progress in Supernova Theory and Experiments
journal, January 2015
- Foglizzo, Thierry; Kazeroni, Rémi; Guilet, Jérôme
- Publications of the Astronomical Society of Australia, Vol. 32
A new equation of state for core-collapse supernovae based on realistic nuclear forces and including a full nuclear ensemble
journal, July 2017
- Furusawa, S.; Togashi, H.; Nagakura, H.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 9
The role of Turbulence in Neutrino-Driven Core-Collapse Supernova Explosions
journal, January 2015
- Couch, Sean M.; Ott, Christian D.
- The Astrophysical Journal, Vol. 799, Issue 1
Neutrino-Driven Convection in Core-Collapse Supernovae: High-Resolution Simulations
journal, March 2016
- Radice, David; Ott, Christian D.; Abdikamalov, Ernazar
- The Astrophysical Journal, Vol. 820, Issue 1
Detecting the Supernova Breakout Burst in Terrestrial Neutrino Detectors
journal, February 2016
- Wallace, Joshua; Burrows, Adam; Dolence, Joshua C.
- The Astrophysical Journal, Vol. 817, Issue 2
Comparison of Statistical Treatments for the Equation of State for Core-Collapse Supernovae
journal, December 2009
- Souza, S. R.; Steiner, A. W.; Lynch, W. G.
- The Astrophysical Journal, Vol. 707, Issue 2
Exploring the relativistic regime with Newtonian hydrodynamics: an improved effective gravitational potential for supernova simulations
journal, December 2005
- Marek, A.; Dimmelmeier, H.; Janka, H. -Th.
- Astronomy & Astrophysics, Vol. 445, Issue 1
High-Resolution Three-Dimensional Simulations of Core-Collapse Supernovae in Multiple Progenitors
journal, April 2014
- Couch, Sean M.; O'Connor, Evan P.
- The Astrophysical Journal, Vol. 785, Issue 2
Sasi Activity in Three-Dimensional Neutrino-Hydrodynamics Simulations of Supernova Cores
journal, May 2013
- Hanke, Florian; Müller, Bernhard; Wongwathanarat, Annop
- The Astrophysical Journal, Vol. 770, Issue 1
Neutrino Transfer in Three Dimensions for Core-Collapse Supernovae. i. Static Configurations
journal, February 2012
- Sumiyoshi, K.; Yamada, S.
- The Astrophysical Journal Supplement Series, Vol. 199, Issue 1
Three-Dimensional Boltzmann Hydro code for core Collapse in Massive Stars. i. Special Relativistic Treatments
journal, September 2014
- Nagakura, Hiroki; Sumiyoshi, Kohsuke; Yamada, Shoichi
- The Astrophysical Journal Supplement Series, Vol. 214, Issue 2
Supernova simulations from a 3D progenitor model – Impact of perturbations and evolution of explosion properties
journal, August 2017
- Müller, Bernhard; Melson, Tobias; Heger, Alexander
- Monthly Notices of the Royal Astronomical Society, Vol. 472, Issue 1
A numerical model for multigroup radiation hydrodynamics
journal, May 2011
- Vaytet, N. M. H.; Audit, E.; Dubroca, B.
- Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 112, Issue 8
The dynamics of neutrino-driven supernova explosions after shock revival in 2D and 3D
journal, August 2015
- Müller, B.
- Monthly Notices of the Royal Astronomical Society, Vol. 453, Issue 1
Core-Collapse Supernovae from 9 to 120 Solar Masses Based on Neutrino-Powered Explosions
journal, April 2016
- Sukhbold, Tuguldur; Ertl, T.; Woosley, S. E.
- The Astrophysical Journal, Vol. 821, Issue 1
Implicit large eddy simulations of anisotropic weakly compressible turbulence with application to core-collapse supernovae
journal, August 2015
- Radice, David; Couch, Sean M.; Ott, Christian D.
- Computational Astrophysics and Cosmology, Vol. 2, Issue 1
Electron-capture and Low-mass Iron-core-collapse Supernovae: New Neutrino-radiation-hydrodynamics Simulations
journal, November 2017
- Radice, David; Burrows, Adam; Vartanyan, David
- The Astrophysical Journal, Vol. 850, Issue 1
The Dominance of Neutrino-Driven Convection in Core-Collapse Supernovae
journal, June 2013
- Murphy, Jeremiah W.; Dolence, Joshua C.; Burrows, Adam
- The Astrophysical Journal, Vol. 771, Issue 1
Core-Collapse Supernova Equations of State Based on Neutron star Observations
journal, August 2013
- Steiner, A. W.; Hempel, M.; Fischer, T.
- The Astrophysical Journal, Vol. 774, Issue 1
Self-Sustained Asymmetry of Lepton-Number Emission: a new Phenomenon During the Supernova Shock-Accretion Phase in Three Dimensions
journal, August 2014
- Tamborra, Irene; Hanke, Florian; Janka, Hans-Thomas
- The Astrophysical Journal, Vol. 792, Issue 2
Is Strong sasi Activity the key to Successful Neutrino-Driven Supernova Explosions?
journal, August 2012
- Hanke, Florian; Marek, Andreas; Müller, Bernhard
- The Astrophysical Journal, Vol. 755, Issue 2
Neutrino signals of core-collapse supernovae in underground detectors
journal, August 2018
- Seadrow, Shaquann; Burrows, Adam; Vartanyan, David
- Monthly Notices of the Royal Astronomical Society, Vol. 480, Issue 4
A generalized equation of state for hot, dense matter
journal, December 1991
- Lattimer, James M.; Douglas Swesty, F.
- Nuclear Physics A, Vol. 535, Issue 2
Dimensional Dependence of the Hydrodynamics of Core-Collapse Supernovae
journal, February 2013
- Dolence, Joshua C.; Burrows, Adam; Murphy, Jeremiah W.
- The Astrophysical Journal, Vol. 765, Issue 2
The Status of Multi-Dimensional Core-Collapse Supernova Models
journal, January 2016
- Müller, B.
- Publications of the Astronomical Society of Australia, Vol. 33
Neutrino-Driven Explosion of a 20 Solar-Mass star in Three Dimensions Enabled by Strange-Quark Contributions to Neutrino–Nucleon Scattering
journal, July 2015
- Melson, Tobias; Janka, Hans-Thomas; Bollig, Robert
- The Astrophysical Journal, Vol. 808, Issue 2