thornado-hydro: A Discontinuous Galerkin Method for Supernova Hydrodynamics with Nuclear Equations of State
Abstract
This paper describes algorithms for nonrelativistic hydrodynamics in the toolkit for high-order neutrino radiation hydrodynamics (thornado), which is being developed for multiphysics simulations of core-collapse supernovae (CCSNe) and related problems with Runge–Kutta discontinuous Galerkin (RKDG) methods. More specifically, thornado employs a spectral-type nodal collocation approximation, and we have extended limiters—a slope limiter to prevent nonphysical oscillations and a bound-enforcing limiter to prevent nonphysical states—from the standard RKDG framework to be able to accommodate a tabulated nuclear equation of state (EoS). To demonstrate the efficacy of the algorithms with a nuclear EoS, we first present numerical results from basic test problems in idealized settings in one and two spatial dimensions, employing Cartesian, spherical-polar, and cylindrical coordinates. Then, we apply the RKDG method to the problem of adiabatic collapse, shock formation, and shock propagation in spherical symmetry, initiated with a 15 M progenitor. We find that the extended limiters improve the fidelity and robustness of the RKDG method in idealized settings. The bound-enforcing limiter improves the robustness of the RKDG method in the adiabatic collapse application, while we find that slope limiting in characteristic fields is vulnerable to structures in the EoS—more specifically, in the phase transition from nuclei and nucleons tomore »
- Authors:
-
[1];
[2];
[3];
[1];
[4];
[1];
[1]
- Univ. of Tennessee, Knoxville, TN (United States)
- Michigan State Univ., East Lansing, MI (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Vanderbilt Univ., Nashville, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
- OSTI Identifier:
- 1788162
- Alternate Identifier(s):
- OSTI ID: 1836466
- Grant/Contract Number:
- AC05-00OR22725; 1806692; 1505933; 1848739; 17-SC-20-SC
- Resource Type:
- Accepted Manuscript
- Journal Name:
- The Astrophysical Journal. Supplement Series
- Additional Journal Information:
- Journal Volume: 253; Journal Issue: 1; Journal ID: ISSN 0067-0049
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Computational methods (1965); Core-collapse supernovae (304); Hydrodynamical simulations (767); Nuclear astrophysics (1129)
Citation Formats
Pochik, David, Barker, Brandon L., Endeve, Eirik, Buffaloe, Jesse, Dunham, Samuel J., Roberts, Nick, and Mezzacappa, Anthony. thornado-hydro: A Discontinuous Galerkin Method for Supernova Hydrodynamics with Nuclear Equations of State. United States: N. p., 2021.
Web. doi:10.3847/1538-4365/abd700.
Pochik, David, Barker, Brandon L., Endeve, Eirik, Buffaloe, Jesse, Dunham, Samuel J., Roberts, Nick, & Mezzacappa, Anthony. thornado-hydro: A Discontinuous Galerkin Method for Supernova Hydrodynamics with Nuclear Equations of State. United States. https://doi.org/10.3847/1538-4365/abd700
Pochik, David, Barker, Brandon L., Endeve, Eirik, Buffaloe, Jesse, Dunham, Samuel J., Roberts, Nick, and Mezzacappa, Anthony. Wed .
"thornado-hydro: A Discontinuous Galerkin Method for Supernova Hydrodynamics with Nuclear Equations of State". United States. https://doi.org/10.3847/1538-4365/abd700. https://www.osti.gov/servlets/purl/1788162.
@article{osti_1788162,
title = {thornado-hydro: A Discontinuous Galerkin Method for Supernova Hydrodynamics with Nuclear Equations of State},
author = {Pochik, David and Barker, Brandon L. and Endeve, Eirik and Buffaloe, Jesse and Dunham, Samuel J. and Roberts, Nick and Mezzacappa, Anthony},
abstractNote = {This paper describes algorithms for nonrelativistic hydrodynamics in the toolkit for high-order neutrino radiation hydrodynamics (thornado), which is being developed for multiphysics simulations of core-collapse supernovae (CCSNe) and related problems with Runge–Kutta discontinuous Galerkin (RKDG) methods. More specifically, thornado employs a spectral-type nodal collocation approximation, and we have extended limiters—a slope limiter to prevent nonphysical oscillations and a bound-enforcing limiter to prevent nonphysical states—from the standard RKDG framework to be able to accommodate a tabulated nuclear equation of state (EoS). To demonstrate the efficacy of the algorithms with a nuclear EoS, we first present numerical results from basic test problems in idealized settings in one and two spatial dimensions, employing Cartesian, spherical-polar, and cylindrical coordinates. Then, we apply the RKDG method to the problem of adiabatic collapse, shock formation, and shock propagation in spherical symmetry, initiated with a 15 M progenitor. We find that the extended limiters improve the fidelity and robustness of the RKDG method in idealized settings. The bound-enforcing limiter improves the robustness of the RKDG method in the adiabatic collapse application, while we find that slope limiting in characteristic fields is vulnerable to structures in the EoS—more specifically, in the phase transition from nuclei and nucleons to bulk nuclear matter. The success of these applications marks an important step toward applying RKDG methods to more realistic CCSN simulations with thornado in the future.},
doi = {10.3847/1538-4365/abd700},
journal = {The Astrophysical Journal. Supplement Series},
number = 1,
volume = 253,
place = {United States},
year = {Wed Mar 10 00:00:00 EST 2021},
month = {Wed Mar 10 00:00:00 EST 2021}
}
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