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Issue No.02 - March/April (2009 vol.11)
pp: 18-23
Dean M. Townsley , University of Arizona
Due to the small width of the subsonic burning front (flame) in thermonuclear supernovae, micrometers to centimeters, and the influence of turbulence, which adds structure to this front on a broad range of scales, it won't be possible in the foreseeable future to resolve the burning front in full-star simulations with typical scales of thousands of kilometers. This problem is far from unique to astrophysics. In many hydrodynamic studies in the laboratory, including pre-mixed combustion, the viscous scale, at which turbulence is dissipated, and the reaction front can't be resolved in simulations of realistic applications. Under these circumstances, so-called large eddy simulations (LES) are used, which employ models in place of unresolved physics. The adaptation and usage of models for unresolved turbulence and turbulence-flame interaction in simulations of thermonuclear supernovae is discussed. The author contrasts several models in current usage and discusses where there appears to be room for progress.
Computational astrophysics, combustion, turbulence
Dean M. Townsley, "Treating Unresolvable Flame Physics in Simulations of Thermonuclear Supernovae", Computing in Science & Engineering, vol.11, no. 2, pp. 18-23, March/April 2009, doi:10.1109/MCSE.2009.41
1. W. Hillebrandt and J.C. Niemeyer, "Type Ia Supernova Explosion Models," Ann. Rev. Astronomy and Astrophysics, vol. 38, 2000, pp. 191–230.
2. P. Hoeflich and A. Khokhlov, "Explosion Models for Type IA Supernovae: A Comparison with Observed Light Curves, Distances, H 0, and Q 0," Astrophysical J., vol. 457, Feb. 1996, pp. 500–528.
3. F.K. Röpke, S.E. Woosley, and W. Hillebrandt, "O-Center Ignition in Type Ia Supernovae. I. Initial Evolution and Implications for Delayed Detonation," Astrophysical J., vol. 660, May 2007, pp. 1344–1356.
4. G.C. Jordan IV et al., "Three-Dimensional Simulations of the Deflagration Phase of the Gravitationally Conned Detonation Model of Type Ia Supernovae," Astrophysical J., vol. 681, July 2008, pp. 1448–1457.
5. S.E. Woosley, S. Wunsch, and M. Kuhlen, "Carbon Ignition in Type Ia Supernovae: An Analytic Model," Astrophysical J., vol. 607, June 2004, pp.921–930.
6. D.M. Townsley et al., "Flame Evolution during Type Ia Supernovae and the Deflagration Phase in the Gravitationally Confined Detonation Scenario," Astrophysical J., vol. 668, Oct. 2007, pp. 1118–1131.
7. F.K. Röpke et al., "Multispot Ignition in Type Ia Supernova Models," Astronomy &Astrophysics, vol. 448, Mar. 2006, pp. 1–14.
8. P. Colella and P.R. Woodward, "The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations," J. Computational Physics, vol. 54, Sept. 1984, pp. 174–201.
9. F.X. Timmes and S.E. Woosley, "The Conductive Propagation of Nuclear Flames. I. Degenerate C + O and O + Ne + Mg White Dwarfs," Astrophysical J., vol. 396, Sept. 1992, pp. 649–667.
10. D.A. Chamulak, E.F. Brown, and F.X. Timmes, "The Laminar Flame Speedup by 22Ne Enrichment in White Dwarf Supernovae," Astrophysical J., vol. 655, Feb. 2007, pp. L93–L96.
11. A.M. Khokhlov, "Propagation of Turbulent Flames in Supernovae," Astrophysical J., vol. 449, Aug. 1995, pp. 695–713.
12. A.M. Khokhlov, E.S. Oran, and J.C. Wheeler, "Deflagration-to-Detonation Transition in Thermonuclear Supernovae," Astrophysical J., vol. 478, Mar. 1997, pp. 678–688.
13. J.C. Niemeyer and S.E. Woosley, "The Thermonuclear Explosion of Chandrasekhar Mass White Dwarfs," Astrophysical J., vol. 475, Feb. 1997, pp. 740–753.
14. V.N. Gamezo et al., "Thermonuclear Supernovae: Simulations of the Deflagration Stage and Their Implications," Science, vol. 299, Jan. 2003, pp. 77–81.
15. V.N. Gamezo, A.M. Khokhlov, and E.S. Oran, "Three-Dimensional Delayed-Detonation Model of Type Ia Supernovae," Astrophysical J., vol. 623, Apr. 2005, pp. 337–346.
16. G.C. Jordan et al., "Three-Dimensional Simulations of the Deflagration Phase of the Gravitationally Confined Detonation Model of Type Ia Supernovae," Astropysical J., vol. 681, July 2008, pp. 1448–1457.
17. E. Livne, S.M. Asida, and P. Höflich, "On the Sensitivity of Deflagrations in a Chandrasekhar Mass White Dwarf to Initial Conditions," Astrophysical J., vol. 632, Oct. 2005, pp. 443–449.
18. J.C. Niemeyer and W. Hillebrandt, "Turbulent Nuclear Flames in Type IA Supernovae," Astrophysical J., vol. 452, Oct. 1995, pp. 769–778.
19. W. Schmidt, J.C. Niemeyer, and W. Hillebrandt, "A Localised Subgrid Scale Model for Fluid Dynamical Simulations in Astrophysics. I. Theory and Numerical Tests," Astronomy &Astrophysics, vol. 450, Apr. 2006, pp. 265–281.
20. W. Schmidt et al., "A Localized Subgrid Scale Model for Fluid Dynamical Simulations in Astrophysics. II. Application to Type Ia Supernovae," Astronomy &Astrophysics, vol. 450, Apr. 2006, pp. 283–294.
21. M. Reinecke et al., "A New Model for Deflagration Fronts in Reactive Fluids," Astronomy &Astrophysics, vol. 347, July 1999, pp. 724–733.
22. O. Colin et al., "A Thickened Flame Model for Large Eddy Simulations of Turbulent Premixed Combustion," Physics of Fluids, vol. 12, July 2000, pp. 1843–1863.
23. J.F. Driscoll, "Turbulent Premixed Combustion: Flamelet Structure and Its Effect on Turbulent Burning Velocities," Progress in Energy and Combustion Science, vol. 34, July 2008, pp. 91–134.
24. T. Poinsot and D. Veynante, Theoretical and Numerical Combustion, Edwards, CA, 2001.
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