The Community for Technology Leaders
RSS Icon
Subscribe
Issue No.02 - March/April (2009 vol.11)
pp: 34-44
Eric S. Myra , University of Michigan, Ann Arbor
F. Douglas Swesty , State University of New York, Stony Brook
Dennis C. Smolarski , State University of New York, Stony Brook
ABSTRACT
The fields of radiation and hydrodynamics are time-honored disciplines in physics. However, it's only since the nuclear age that the importance of radiation hydrodynamics—a single field studying the interplay of radiation and material hydrodynamics together—has come into prominence. Similarly, it's only since the computer age that physically interesting problems in this field have become tractable. In this article, the authors discuss the process of building a model to study one of the fundamental problems of astrophysics: the supernova explosion of a massive star caused by the collapse of its core. An explanation for the mechanism of this explosion involves the interaction of material hydrodynamics and neutrino radiation.
INDEX TERMS
computational astrophysics, nuclear astrophysics, neutrino transport, radiation hydrodynamics, stellar core collapse, supernovae, numerical algorithms, sparse iterative solvers, computer simulations
CITATION
Eric S. Myra, F. Douglas Swesty, Dennis C. Smolarski, "Stellar Core Collapse: A Case Study in the Design of Numerical Algorithms for Scalable Radiation Hydrodynamics", Computing in Science & Engineering, vol.11, no. 2, pp. 34-44, March/April 2009, doi:10.1109/MCSE.2009.37
REFERENCES
1. H.A. Bethe and J.R. Wilson, "Revival of a Stalled Supernova Shock by Neutrino Heating," Astrophysical J., vol. 295, 1 Aug. 1985, pp. 14–23.
2. G.C. Pomraning, The Equations of Radiation Hydrodynamics, Dover, 2005.
3. R.L. Bowers and J.R. Wilson, "A Numerical Model for Stellar Core Collapse Calculations," Astrophysical J. Supplement Series, vol. 50, Oct. 1982, pp. 115–159.
4. S.W. Bruenn, "Stellar Core Collapse: Numerical Model and Infall Epoch," Astrophysical J. Supplement Series, vol. 58, Aug. 1985, pp. 771–841.
5. E.S. Myra et al., "The Effect of Neutrino Transport on the Collapse of Iron Stellar Cores," Astrophysical J., vol. 318, 15 July 1987, pp. 744–759.
6. A. Mezzacappa and S. Bruenn, "A Numerical Method for Solving the Neutrino Boltzmann Equation Coupled to Spherically Symmetric Stellar Core Collapse," Astrophysical J., vol. 405, no. 2, 1993, pp. 669–684.
7. M. Liebendorfer et al., "A Finite Difference Representation of Neutrino Radiation Hydrodynamics in Spherically Symmetric General Relativistic Spacetime," Astrophysical J. Supplement Series, vol. 150, no. 1, 2004, pp. 263–316.
8. A. Burrows, J. Hayes, and B.A. Fryxell, "On the Nature of Core-Collapse Supernova Explosions," Astrophysical J., vol. 450, 10 Sept. 1995, pp. 830–850.
9. C.L. Fryer and M.S. Warren, "The Collapse of Rotating Massive Stars in Three Dimensions," Astrophysical J., vol. 601, no. 1, 2004, pp. 391–404.
10. S.W. Bruenn et al., "Modeling Core Collapse Supernovae in 2 and 3 Dimensions with Spectral Neutrino Transport," J. Physics: Conf. Series, vol. 46, no. 1, 2006, pp. 393–402.
11. R. Buras et al., "Two-Dimensional Hydrodynamic Core-Collapse Supernova Simulations with Spectral Neutrino Transport. I. Numerical Method and Results for a 15 M⊙Star," Astronomy and Astrophysics, vol. 447, no. 3, 2006, pp. 1049–1092.
12. F.D. Swesty and E.S. Myra, "A Numerical Algorithm for Modeling Multigroup Neutrino-Radiation Hydrodynamics in Two Spatial Dimensions," to appear in Astrophysical J. Supplement Series, 2009.
13. F.D. Swesty and E.S. Myra, "Multigroup Models of the Convective Epoch in Core Collapse Supernovae," J. Physics: Conf. Series, vol. 16, no. 1, 2005, pp. 380–389.
14. F.D. Swesty, "Thermodynamically Consistent Interpolation for Equation of State Tables," J. Computational Physics, vol. 127, no. 1, 1996, pp. 118–127.
15. J.M. Stone and M.L. Norman, "ZEUS-2D: A Radiation Magnetohydrodynamics Code for Astrophysical Flows in Two Space Dimensions. I - The Hydrodynamic Algorithms and Tests," Astrophysical J. Supplement Series, vol. 80, no. 2, 1992, pp. 753–790.
16. N.J. Turner and J.M. Stone, "A Module for Radiation Hydrodynamic Calculations with ZEUS-2D Using Flux-limited Diffusion," Astrophysical J. Supplement Series, vol. 135, no. 1, 2001, pp. 95–107.
17. J.M. Stone, D. Mihalas, and M.L. Norman, "ZEUS-2D: A Radiation Magnetohydrodynamics Code for Astrophysical Flows in Two Space Dimensions. III - The Radiation Hydrodynamic Algorithms and Tests," Astrophysical J. Supplement Series, vol. 80, no. 2, 1992, pp. 819–845.
18. J.C. Hayes et al., "Simulating Radiating and Magnetized Flows in Multiple Dimensions with ZEUS-MP," Astrophysical J. Supplement Series, vol. 165, no. 1, 2006, pp. 188–228.
19. R. Barrett et al., Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, SIAM, 1994.
20. H. van der Vorst, "Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems," SIAM J. of Scientific and Statistical Computing, vol. 13, 1992, pp. 631–644.
21. F.D. Swesty, D.C. Smolarski, and P.E. Saylor, "A Comparison of Algorithms for the Efficient Solution of the Linear Systems Arising from Multigroup Flux-limited Diffusion Problems," Astrophysical J. Supplement Series, vol. 153, no. 1, 2004, pp. 369–387.
22. C.T. Kelley, Iterative Methods for Linear and Nonlinear Equations, SIAM, 1995.
23. D.R. Reynolds, F.D. Swesty, and C.S. Woodward, "A Newton-Krylov Solver for Implicit Solution of Hydrodynamics in Core Collapse Supernovae," J. Physics: Conf. Series, vol. 125, no. 1, 2008, pp. 012085–012094.
24. J.M. Blondin, A. Mezzacappa, and C. De Marino, "Stability of Standing Accretion Shocks, with an Eye toward Core-Collapse Supernovae," Astrophysical J., vol. 584, no. 2, 2003, pp. 971–980.
25. J.M. Blondin and A. Mezzacappa, "Pulsar Spins from an Instability in the Accretion Shock of Supernovae," Nature, vol. 445, no. 7123, 2007, pp. 58–60.
26. W. Keil, H.-T. Janka, and E. Muller, "Ledoux Convection in Protoneutron Stars—A Clue to Supernova Nucleosynthesis?" Astrophysical J. Letters, vol. 473, 20 Dec. 1996, pp. L111–L114.
27. S.W. Bruenn, E.A. Raley, and A. Mezzacappa, "Fluid Stability Below the Neutrinospheres of Supernova Progenitors and the Dominant Role of Lepto-Entropy Fingers," Apr. 2004; eprint arXiv:astro-ph/0404099.
20 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool