Prog. Theor. Phys. Vol. 83 No. 4 (1990) pp. 723-732
Two-Dimensional Simulation of Hydrodynamic Instability in Supernova Explosions
Department of Physics, College of Liberal Arts and Science,
Kyoto University, Kyoto 606
*Department of Physics, Hokkaido University, Sapporo 060
**Department of Physics, Kyoto University, Kyoto 606
(Received January 22, 1990)
We investigate the growth of the hydrodynamic instability in supernova explosion by two-dimensional numerical calculations. The interfaces between the zones with different chemical compositions in the progenitor are expected to be Rayleigh-Taylor unstable and to cause mixing. The location, amplitude and types of initial perturbations may affect the extent to mixing. We study the relation between the extent of mixing and the initial perturbation, especially the location and amplitude of seeds. A 5% velocity perturbation added at and inside the hydrogen/helium (H/He) interface leads to mixing of material but the same perturbation added at and inside the helium/heavy elements (He/C+O) interface does not. A perturbation with much larger amplitude is needed at the inner interface to cause mixing. Thus our results show that the extent of the mixing depends strongly on the amplitude and the location of the initial perturbation.
DOI : 10.1143/PTP.83.723
For X-ray observations, T. Dotani et al., Nature 330 (1987), 230[CrossRef];
Y. Tanaka, in IAU Colloquium 108, Atmospheric Diagnostics of Stellar Evolution, ed. K. Nomoto, (Springer-Verlag, 1988), p. 399.
R. Sunyaev et al., Nature 330 (1987), 227[CrossRef].
For γ-ray observations,
S. M. Matz et al., Nature 331 (1987), 416[CrossRef];
W. G. Sandie et al., Astrophys. J. Lett. 334 (1988), L91[CrossRef].
R. McCray, J. M. Shull and P. Sutherland, Astrophys. J. Lett. 317 (1987), L73[CrossRef].
K. W. Chan and R. E. Lingenfelter, Astrophys. J. Lett. 318 (1987), L51[CrossRef].
N. Gehrels, C. J. MacCllum and M. Leventhal, Astrophys. J. Lett. 320 (1987), L19[CrossRef].
Y. Xu, P. Sutherland, R. McCray and R. Ross, Astrophys. J. 327 (1988), 197[CrossRef].
T. Ebisuzaki and N. Shibazaki, Astrophys. J. 328 (1988), 699[CrossRef].
E. F. Erickson et al., Astrophys. J. Lett. 330 (1988), L39[CrossRef].
F. C. Witteborn et al., Astrophys. J. Lett. 338 (1989), L9[CrossRef].
- S. Barthelmy et al., IAU Circular 4764, 1989.
- T. Shigeyama et al., Astron. Astrophys. 196 (1988), 141.
S. E. Woosley, Astrophys. J. 330 (1988), 218[CrossRef].
W. D. Arnett and A. Fu, Astrophys. J. 340 (1989), 396[CrossRef].
R. A. Chevalier, Astrophys. J. 207 (1976), 872[CrossRef].
- S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon Press Oxford, 1961).
- M. Den, H. Hanami and Y. Yamada in the Proceedings of Tenth Santa Cruz Workshop on “Supernovae”, ed. S. E. Woosley (Springer, New York, 1990), in press.
T. Ebisuzaki, T. Shigeyama and K. Nomoto, Astrophys. J. Lett. 344 (1989), L65[CrossRef].
See also W. Benz and F. Thielemann, Astrophys. J. Lett. 348 (1990), L17[CrossRef].
- The first multi-dimensional numerical simulation was carried out by M. Nagasawa, T. Nakamura and S. M. Miyama, Pub. Astr. Soc. Japan 40 (1988), 691. But their calculation method is SPH (Smooth Particle Hydrocode), and their progenitor model is polytropic star, so we do not mention this work here.
- E. Müller, B. A. Fryxell and W. D. Arnett in the Proceedings of the Elba Workshop on “ Chemical and Dynamical Evolution of Galaxies”, eds. F. Fermini, F. Matteucci and J. Franco, 1990, and references therein.
W. D. Arnett, Astrophys. J. 319 (1987), 136[CrossRef].
- I. Hachisu, T. Matsuda, T. Shigeyama and K. Nomoto, in The University of Tokyo Astronomy Preprint.
- K. Nomoto and T. Shigeyama, in private communication.
- B. van Leer, Lecture Note in Physics 170 (1982), 507.
G. D. van Albada et al., Astron. Astrophys. 108 (1982), 76.
- S. Yamada and K. Sato, submitted to Prog. Theor. Phys. 83 (1989), 713[PTP].
- T. Yoshida, Y. Yamada and M. Den, in preparation.
Citing Article(s) :
Progress of Theoretical Physics Vol. 84 No. 3 (1990) pp. 436-443
Three Dimensional Simulations of Supernova Explosion. I
Yoshiyuki Yamada, Takashi Nakamura and Ken-ichi Oohara
Progress of Theoretical Physics Vol. 86 No. 6 (1991) pp. 1211-1225
Two-Dimensional Simulations of Hydrodynamic Instability in Supernova Explosion. II
Yoshiyuki Yamada, Tatsuo Yoshida and Mitsue Den
Progress of Theoretical Physics Vol. 89 No. 6 (1993) pp. 1175-1182
Convective Instability in Hot Bubble in a Delayed Supernova Explosion
Shoichi Yamada, Tetsuya Shimizu and Katsuhiko Sato