2010

A new multi-dimensional general relativistic neutrino hydrodynamics code for core-collapse supernovae. I. Method and code tests in spherical symmetry

Mueller, B., Janka, H. -Th., Dimmelmeier, H.

Understand

We present a new general relativistic (GR) code for hydrodynamic supernova simulations with neutrino transport in spherical and azimuthal symmetry (1D/2D).

The code is a combination of the CoCoNuT hydro module, which is a Riemann-solver based, high-resolution shock-capturing method, and the three-flavor, energy-dependent neutrino transport scheme VERTEX.
VERTEX integrates the neutrino moment equations with a variable Eddington factor closure computed from a model Boltzmann equation and uses the ray-by-ray plus approximation in 2D, assuming the neutrino distribution to be axially symmetric around the radial direction, and thus the neutrino flux to be radial.
Our spacetime treatment employs the ADM 3+1 formalism with the conformal flatness condition for the spatial three-metric.

Built on

Lichnerovicz, A. 1944, J. Math. Pures Appl
1944
Earlier work this paper cites.
Taub, A. H. 1948, Physical Review, 74, 328
1948
Earlier work this paper cites.
Schwarzschild, M. 1958, Structure and evolution of the stars. (Princeton, Princeton University Press)
1958
Earlier work this paper cites.
Colgate, S. A., & White, R. H. 1966, ApJ, 143, 626
1966
Earlier work this paper cites.
Lindquist, R. W. 1966, Ann. Phys
1966
Earlier work this paper cites.
Thorne, K. S. 1966, ApJ, 144, 201
1966
Earlier work this paper cites.
Ehlers, J. 1971, in General Relativity and Cosmology, 1–70
1971
Earlier work this paper cites.
Stewart, J. M., ed. 1971, Lecture Notes in Physics, Berlin Springer Verlag, Vol. 10, Non-equilibrium relativistic kinetic theory
1971
Earlier work this paper cites.
Castor, J. I. 1972, ApJ, 178, 779
1972
Earlier work this paper cites.
Hawking, S. W., & Ellis, G. F. R. 1973, The Large-Scale Strucutre of Space-Time (Cambridge (UK): Cambridge University Press)
1973
Earlier work this paper cites.
Misner, C. W., Thorne, K. S., & Wheeler, J. A. 1973, Gravitation (San Francisco: W.H. Freeman)
1973
Earlier work this paper cites.
—. 1973, ApJ, 179, 897
1973
Earlier work this paper cites.
Isenberg, J. A. 1978, University of Maryland Preprint
1978
Earlier work this paper cites.
Epstein, R. I. 1979, MNRAS, 188, 305
1979
Earlier work this paper cites.
Yorke, H. W. 1980, A&A, 86, 286
1980
Earlier work this paper cites.
Harten, B., Lax, P. D., & van Leer, B. 1983, SIAM Review
1983
Earlier work this paper cites.
Colella, P., & Woodward, P. R. 1984, J. Comp. Phys
1984
Earlier work this paper cites.
Mihalas, D., & Weibel Mihalas, B. 1984, Foundations of radiation hydrodynamics (New York: Oxford University Press)
1984
Earlier work this paper cites.
Nomoto, K. 1984, ApJ, 277, 791
1984
Earlier work this paper cites.
Noonan, T. W. 1984, General Relativity and Gravitation
1984
Earlier work this paper cites.
Wald, R. M. 1984, General Relativity (Chicago: The University of Chicago Press)
1984
Earlier work this paper cites.
Bruenn, S. W. 1985, ApJS, 58, 771
1985
Earlier work this paper cites.
Hillebrandt, W., & Wolff, R. G. 1985, in Nucleosynthesis: Challenges and New Developments, ed. W. D. Arnett & J. W. Truran, 131
1985
Earlier work this paper cites.
Wilson, J. R. 1985, in Numerical Astrophysics, ed. J. M. Centrella, J. M. Leblanc, & R. L. Bowers, 422–434
1985
Earlier work this paper cites.
—. 1987, ApJ, 322, 206
1987
Earlier work this paper cites.
Einfeldt, B. 1988, SIAM J. Numer. Anal
1988
Earlier work this paper cites.
Schinder, P. J. 1988, Phys. Rev. D, 38, 1673
1988
Earlier work this paper cites.
Baron, E., Myra, E. S., Cooperstein, J., & van den Horn, L. J. 1989, ApJ, 339, 978
1989
Earlier work this paper cites.
Mezzacappa, A., & Matzner, R. A. 1989, ApJ, 343, 853
1989
Earlier work this paper cites.
Takahara, M., Hino, M., Oda, T., Muto, K., Wolters, A. A., Glaudemans, P. W. M., & Sato, K. 1989, Nucl. Phys. A
1989
Earlier work this paper cites.
Bethe, H. A. 1990, Rev. Mod. Phys., 62, 801
1990
Earlier work this paper cites.
Lattimer, J. M., & Swesty, F. D. 1991, Nucl. Phys. A
1991
Earlier work this paper cites.
Herant, M., Benz, W., & Colgate, S. 1992, ApJ, 395, 642
1992
Earlier work this paper cites.
Shu, F. H. 1992, Physics of Astrophysics, Vol. II (University Science Books)
1992
Earlier work this paper cites.
Janka, H.-T., Zwerger, T., & Mönchmeyer, R. 1993, A&A, 268, 360
1993
Earlier work this paper cites.
Herant, M., Benz, W., Hix, W. R., Fryer, C. L., & Colgate, S. A. 1994, ApJ, 435, 339
1994
Earlier work this paper cites.

Similar

Quirk, J. J. 1994, Int. J. Num. Meth. in Fluids
1994
Cited alongside, same era.
Toro, E. F., Spruce, M., & Speares, W. 1994, Shock Waves
1994
Cited alongside, same era.
Burrows, A., Hayes, J., & Fryxell, B. A. 1995, ApJ, 450, 830
1995
Cited alongside, same era.
Janka, H.-T., & Müller, E. 1995, ApJ, 448, L109
1995
Cited alongside, same era.
Müller, E., & Steinmetz, M. 1995, Comp. Phys. Comm
1995
Cited alongside, same era.
Woosley, S. E., & Weaver, T. A. 1995, ApJS, 101, 181
1995
Cited alongside, same era.
Cook, G. B., Shapiro, S. L., & Teukolsky, S. A. 1996, Phys. Rev. D, 53, 5533
1996
Cited alongside, same era.
—. 1996, A&A, 306, 167
1996
Cited alongside, same era.
Qian, Y., & Woosley, S. E. 1996, ApJ, 471, 331
1996
Cited alongside, same era.
Romero, J. V., Ibanez, J. M. A., Marti, J. M. A., & Miralles, J. A. 1996, ApJ, 462, 839
1996
Cited alongside, same era.
Wilson, J. R., Mathews, G. J., & Marronetti, P. 1996, Phys. Rev. D, 54, 1317
1996
Cited alongside, same era.
Banyuls, F., Font, J. A., Ibanez, J. M. A., Martí, J. M. A., & Miralles, J. A. 1997, ApJ, 476, 221
1997
Cited alongside, same era.

Then

Shibata, M., & Sekiguchi, Y.-I. 2004, Phys. Rev. D, 69, 084024:1
2004
Later among the works it cites.
Straumann, N. 2004, General Relativity with Applications to Astrophysics (Berlin: Springer)
2004
Later among the works it cites.
Cerdá-Durán, P., Faye, G., Dimmelmeier, H., Font, J. A., Ibáñez, J. M., Müller, E., & Schäfer, G. 2005, A&A, 439, 1033
2005
Later among the works it cites.
Dimmelmeier, H., Novak, J., Font, J. A., Ibáñez, J. M., & Müller, E. 2005, Phys. Rev. D, 71, 064023:1
2005
Later among the works it cites.
Liebendörfer, M. 2005, ApJ, 633, 1042
2005
Later among the works it cites.
Liebendörfer, M., Rampp, M., Janka, H.-T., & Mezzacappa, A. 2005, ApJ, 620, 840
2005
Later among the works it cites.
Marek, A., Janka, H.-T., Buras, R., Liebendörfer, M., & Rampp, M. 2005, A&A, 443, 201
2005
Later among the works it cites.
Mignone, A., & Bodo, G. 2005, MNRAS, 364, 126
2005
Later among the works it cites.
Sekiguchi, Y.-I., & Shibata, M. 2005, Phys. Rev. D, 71, 084013
2005
Later among the works it cites.
—. 2005, Phys. Rev. D, 71, 024014:1
2005
Later among the works it cites.
Strack, P., & Burrows, A. 2005, Phys. Rev. D, 71, 093004:1
2005
Later among the works it cites.
Bruenn, S. W., Dirk, C. J., Mezzacappa, A., Hayes, J. C., Blondin, J. M., Hix, W. R., & Messer, O. E. B. 2006, J. Phys. Conf. Ser
2006
Later among the works it cites.
Dimmelmeier, H., Cerdá-Durán, P., Marek, A., & Faye, G. 2006, in American Institute of Physics Conference Series, Vol. 861, Albert Einstein Century International Conference, 600–607
2006
Later among the works it cites.
Kitaura, F. S., Janka, H.-T., & Hillebrandt, W. 2006, A&A, 450, 345
2006
Later among the works it cites.
Marek, A., Dimmelmeier, H., Janka, H.-T., Müller, E., & Buras, R. 2006, A&A, 445, 273
2006
Later among the works it cites.
Burrows, A., Dessart, L., Livne, E., Ott, C. D., & Murphy, J. 2007, ApJ, 664, 416
2007
Later among the works it cites.
Dimmelmeier, H., Ott, C. D., Janka, H.-T., Marek, A., & Müller, E. 2007, Phys. Rev. Lett., 98, 251101:1
2007
Later among the works it cites.
Marek, A. 2007, PhD thesis, Technische Universtiät München
2007
Later among the works it cites.
Messer, O. E. B., Bruenn, S. W., Blondin, J. M., Hix, W. R., Mezzacappa, A., & Dirk, C. J. 2007, Journal of Physics Conference Series, 78, 012049
2007
Later among the works it cites.
Cardall, C. Y. 2008, Phys. Rev. D, 78, 085017:1
2008
Later among the works it cites.
Dimmelmeier, H., Ott, C. D., Marek, A., & Janka, H.-T. 2008, Phys. Rev. D, 78, 064056:1
2008
Later among the works it cites.
Duan, H., Fuller, G. M., Carlson, J., & Qian, Y.-Z. 2008, Phys. Rev. Lett., 100, 021101:1
2008
Later among the works it cites.
Farris, B. D., Li, T. K., Liu, Y. T., & Shapiro, S. L. 2008, Phys. Rev. D, 78, 024023:1
2008
Later among the works it cites.
Janka, H.-T., Müller, B., Kitaura, F. S., & Buras, R. 2008, A&A, 485, 199
2008
Later among the works it cites.
Langanke, K., Martínez-Pinedo, G., Müller, B., Janka, H.-T., Marek, A., Hix, W. R., Juodagalvis, A., & Sampaio, J. M. 2008, Phys. Rev. Lett., 100, 011101:1
2008
Later among the works it cites.
Lunardini, C., Müller, B., & Janka, H.-T. 2008, Phys. Rev. D, 78, 023016:1
2008
Later among the works it cites.
Müller, B., Dimmelmeier, H., & Müller, E. 2008, A&A, 489, 301
2008
Later among the works it cites.
Murphy, J. W., & Burrows, A. 2008, ApJS, 179, 209
2008
Later among the works it cites.
Ott, C. D., Burrows, A., Dessart, L., & Livne, E. 2008, ApJ, 685, 1069
2008
Later among the works it cites.
Cordero-Carrión, I., Cerdá-Durán, P., Dimmelmeier, H., Jaramillo, J. L., Novak, J., & Gourgoulhon, E. 2009, Phys. Rev. D, 79, 024017
2009
Later among the works it cites.
Fischer, T., Whitehouse, S. C., Mezzacappa, A., Thielemann, F., & Liebendörfer, M. 2009, A&A, submitted; arXiv:0908.1871 (astro-ph)
Original
2009
Later among the works it cites.
Hüdepohl, L., Müller, B., Janka, H., Marek, A., & Raffelt, G. G. 2009, Phys. Rev. Lett., submitted; arXiv:0912.0260 (astro-ph)
Original
2009
Later among the works it cites.
Liebendörfer, M., Whitehouse, S. C., & Fischer, T. 2009, ApJ, 698, 1174
2009
Later among the works it cites.
Marek, A., & Janka, H. 2009, ApJ, 694, 664
2009
Later among the works it cites.
Marek, A., Janka, H., & Müller, E. 2009, A&A, 496, 475
2009
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…