2014
DOI: 10.1088/0067-0049/214/2/16
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Three-Dimensional Boltzmann Hydro Code for Core Collapse in Massive Stars. I. Special Relativistic Treatments

Abstract: We propose a novel numerical method for solving multi-dimensional, special relativistic Boltzmann equations for neutrinos coupled to hydrodynamics equations. It is meant to be applied to simulations of core-collapse supernovae. We handle special relativity in a non-conventional way, taking account of all orders of v/c. Consistent treatment of advection and collision terms in the Boltzmann equations is the source of difficulties, which we overcome by employing two different energy grids: Lagrangian remapped and… Show more

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Cited by 101 publications
(93 citation statements)
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“…The hydrodynamical code employed in this paper is the same as that in Nagakura et al (2014),except that only the pointmass gravity instead of the self-gravity is considered: the Harten-Lax-van Leer scheme (Harten et al 1983) with the piecewise parabolic interpolation (Colella & Woodward 1984) isused to evaluate the numerical flux; the time evolution is handled by the explicit, total-variation diminishing, third-order Runge-Kutta method.…”
Section: Methodsmentioning
confidence: 99%
“…The hydrodynamical code employed in this paper is the same as that in Nagakura et al (2014),except that only the pointmass gravity instead of the self-gravity is considered: the Harten-Lax-van Leer scheme (Harten et al 1983) with the piecewise parabolic interpolation (Colella & Woodward 1984) isused to evaluate the numerical flux; the time evolution is handled by the explicit, total-variation diminishing, third-order Runge-Kutta method.…”
Section: Methodsmentioning
confidence: 99%
“…Then, we need to take into account the transport of neutrinos appropriately. We thus employ the one-dimensional hydrodynamical code with a Boltzmann solver developed by Nagakura et al (2014Nagakura et al ( , 2016 to follow the evolution of the core collapse. The hydrodynamics solver is explicit and has second-order accuracy in both space and time, based on the so-called central scheme (Kurganov & Tadmor 2000;Nagakura & Yamada 2008;Nagakura et al 2011); spherical coordinates are adopted; and Newtonian selfgravity is taken into account.…”
Section: Core Collapsementioning
confidence: 99%
“…As for the input physics, our current Boltzmann-Hydro code has updated some treatments of microphysics from Sumiyoshi & Yamada (2012), Nagakura et al (2014). One of them is an incorporation of the multi-nuclear species equation of state (EOS) by Furusawa et al (2011.…”
Section: Numerical Setup and Input Physicsmentioning
confidence: 99%
“…The 4-momentum of neutrino is also projected on m(ˆ) e . Then the energy shift and aberration are determined by the Doppler factor given above and our SR formulation can be directly passed over to the GRextended code (see Section4 in Nagakura et al 2014). …”
mentioning
confidence: 99%