The saturation of SASI by parasitic instabilities

Abstract

The Standing Accretion Shock Instability (SASI) is commonly believed to be responsible for large amplitude dipolar oscillations of the stalled shock during core collapse, potentially leading to an asymmetric supernovae explosion. The degree of asymmetry depends on the amplitude of SASI, which nonlinear saturation mechanism has never been elucidated. We investigate the role of parasitic instabilities as a possible cause of nonlinear SASI saturation. As the shock oscillations create both vorticity and entropy gradients, we show that both Kelvin-Helmholtz and Rayleigh-Taylor types of instabilities are able to grow on a SASI mode if its amplitude is large enough. We obtain simple estimates of their growth rates, taking into account the effects of advection and entropy stratification. In the context of the advective-acoustic cycle, we use numerical simulations to demonstrate how the acoustic feedback can be decreased if a parasitic instability distorts the advected structure. The amplitude of the shock deformation is estimated analytically in this scenario. When applied to the set up of Fernandez & Thompson (2009a), this saturation mechanism is able to explain the dramatic decrease of the SASI power when both the nuclear dissociation energy and the cooling rate are varied. Our results open new perspectives for anticipating the effect, on the SASI amplitude, of the physical ingredients involved in the modeling of the collapsing star.

14 pages, 16 figures, accepted for publication in ApJ. Minor changes following the referee report.

References in corpus (33)

• Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
• Stability of Standing Accretion Shocks, With an Eye Toward Core Collapse Supernovae
• On the Nature of Core Collapse Supernova Explosions
• Inside the Supernova: A Powerful Convective Engine
• A High Order Godunov Scheme with Constrained Transport and Adaptive Mesh Refinement for Astrophysical MHD
• Delayed neutrino-driven supernova explosions aided by the standing accretion-shock instability
• A New Mechanism for Core-Collapse Supernova Explosions
• Multidimensional Supernova Simulations with Approximative Neutrino Transport I. Neutron Star Kicks and the Anisotropy of Neutrino-Driven Explosions in Two Spatial Dimensions
• Probing the gravitational well: No supernova explosion in spherical symmetry with general relativistic Boltzmann neutrino transport
• Two-Dimensional Hydrodynamic Core-Collapse Supernova Simulations with Spectral Neutrino Transport II. Models for Different Progenitor Stars
• Instability of a stalled accretion shock: evidence for the advective-acoustic cycle
• Pulsar spins from an instability in the accretion shock of supernovae
• A Model for Gravitational Wave Emission from Neutrino-Driven Core-Collapse Supernovae
• Pulsar Recoil by Large-Scale Anisotropies in Supernova Explosions
• The Spherical Accretion Shock Instability in the Linear Regime
• Criteria for Core-Collapse Supernova Explosions by the Neutrino Mechanism
• Neutrino-driven convection versus advection in core collapse supernovae
• Multidimensional supernova simulations with approximative neutrino transport. II. Convection and the advective-acoustic cycle in the supernova core
• Equation-of-State Dependent Features in Shock-Oscillation Modulated Neutrino and Gravitational-Wave Signals from Supernovae
• Features of the Acoustic Mechanism of Core-Collapse Supernova Explosions
• Numerical Analysis on Standing Accretion Shock Instability with Neutrino Heating in the Supernova Cores
• Three-Dimensional Simulations of Standing Accretion Shock Instability in Core-Collapse Supernovae
• Non-radial instabilities of isothermal Bondi accretion with a shock: vortical-acoustic cycle vs post-shock acceleration
• Effect of Rotation on the Stability of a Stalled Cylindrical Shock and its Consequences for Core-Collapse Supernovae
• Effects of Rotation on Standing Accretion Shock Instability in Nonlinear Phase for Core-Collapse Supernovae
• On the Saturation of the Magnetorotational Instability via Parasitic Modes
• Stability of a Spherical Accretion Shock with Nuclear Dissociation
• Dynamics of a Spherical Accretion Shock with Neutrino Heating and Alpha-Particle Recombination
• A simple toy model of the advective-acoustic instability I. Perturbative approach
• Stability of the Accretion Flows with Stalled Shocks in Core-Collapse Supernovae
• Nonlinear Saturation of g-modes in Proto-Neutron Stars: Quieting the Acoustic Engine
• A simple toy model of the advective-acoustic instability. II. Numerical simulations
• Toward a magnetohydrodynamic theory of the stationary accretion shock: toy model of the advective-acoustic cycle in a magnetized flow

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