the revived shock expands more energetically in 2D than in 3D.'
author:
- 'Tomoya Takiwaki, Kei Kotake, and Yudai Suwa'
bibliography:
- 'ms.bib'
title: 'A Comparison of Two- and Three-dimensional Neutrino-hydrodynamics simulations of Core-collapse Supernovae'
---

Introduction
============

Ever since the first numerical simulation of core-collapse supernovae (CCSNe) [@colgate], the neutrino-driven mechanism has been the leading candidate of the explosion mechanism for more than four decades. In the long history, a very important lesson we have learned from @rampp00 [@lieb01; @thom03; @sumi05] near the Millennium, is that the spherically-symmetric (1D) form of this mechanism fails to explode canonical massive stars. Supported by accumulating supernova observations of the blast morphology (e.g., @wang08, and references therein), a number of multi-dimensional (multi-D) hydrodynamic simulations have been reported so far, which gives us a confidence that hydrodynamic motions associated with neutrino-driven convection (e.g., @herant [@burr95; @jankamueller96; @frye02] and see collective references in @burrows12 [@murphy13; @couch13]) and the SASI (e.g., @blon03 [@Scheck04; @scheck06; @Ohnishi06; @ohnishi07; @ott_multi; @murphy08; @thierry; @thierry07; @thierry12; @iwakami1; @iwakami2; @iwakami13; @endeve10; @endeve12; @rodrigo09_2; @rodrigo09; @rodrigo10; @hanke12]) can help the onset of neutrino-driven explosions.

In fact, a growing number of neutrino-driven explosions have been recently obtained in the state-of-the-art two-dimensional (2D) simulations, in 