A new monte carlo method for time-dependent neutrino radiation transport

Ernazar Abdikamalov, Adam S. Burrows, Christian D. Ott, Frank Löffler, Evan O'Connor, Joshua C. Dolence, Erik Schnetter

Research output: Contribution to journalArticle

57 Scopus citations

Abstract

Monte Carlo approaches to radiation transport have several attractive properties such as simplicity of implementation, high accuracy, and good parallel scaling. Moreover, Monte Carlo methods can handle complicated geometries and are relatively easy to extend to multiple spatial dimensions, which makes them potentially interesting in modeling complex multi-dimensional astrophysical phenomena such as core-collapse supernovae. The aim of this paper is to explore Monte Carlo methods for modeling neutrino transport in core-collapse supernovae. We generalize the Implicit Monte Carlo photon transport scheme of Fleck & Cummings and gray discrete-diffusion scheme of Densmore et al. to energy-, time-, and velocity-dependent neutrino transport. Using our 1D spherically-symmetric implementation, we show that, similar to the photon transport case, the implicit scheme enables significantly larger timesteps compared with explicit time discretization, without sacrificing accuracy, while the discrete-diffusion method leads to significant speed-ups at high optical depth. Our results suggest that a combination of spectral, velocity-dependent, Implicit Monte Carlo and discrete-diffusion Monte Carlo methods represents a robust approach for use in neutrino transport calculations in core-collapse supernovae. Our velocity-dependent scheme can easily be adapted to photon transport.

Original languageEnglish (US)
Article number111
JournalAstrophysical Journal
Volume755
Issue number2
DOIs
StatePublished - Aug 20 2012

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science

Keywords

  • hydrodynamics
  • neutrinos
  • radiative transfer
  • stars: evolution
  • stars: neutron
  • supernovae: general

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    Abdikamalov, E., Burrows, A. S., Ott, C. D., Löffler, F., O'Connor, E., Dolence, J. C., & Schnetter, E. (2012). A new monte carlo method for time-dependent neutrino radiation transport. Astrophysical Journal, 755(2), [111]. https://doi.org/10.1088/0004-637X/755/2/111