skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Shock Dynamics in Stellar Outbursts. I. Shock Formation

Abstract

Wave-driven outflows and non-disruptive explosions have been implicated in pre-supernova outbursts, supernova impostors, luminous blue variable eruptions, and some narrow-line and superluminous supernovae. To model these events, we investigate the dynamics of stars set in motion by strong acoustic pulses and wave trains, focusing on nonlinear wave propagation, shock formation, and an early phase of the development of a weak shock. We identify the shock formation radius, showing that a heuristic estimate based on crossing characteristics matches an exact expansion around the wave front and verifying both with numerical experiments. Our general analytical condition for shock formation applies to one-dimensional motions within any static environment, including both eruptions and implosions. We also consider the early phase of shock energy dissipation. We find that waves of super-Eddington acoustic luminosity always create shocks, rather than damping by radiative diffusion. Therefore, shock formation is integral to super-Eddington outbursts.

Authors:
;  [1]
  1. Department of Astronomy and Astrophysics, University of Toronto, 50 St. George Street, Toronto, ON M5S 3H4 (Canada)
Publication Date:
OSTI Identifier:
22663597
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 841; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; DAMPING; DIFFUSION; ENERGY LOSSES; EXPANSION; EXPLOSIONS; HYDRODYNAMICS; IMPLOSIONS; LUMINOSITY; MASS TRANSFER; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PULSES; SHOCK WAVES; STELLAR WINDS; SUPERNOVAE; WAVE PROPAGATION

Citation Formats

Ro, Stephen, and Matzner, Christopher D., E-mail: ro@astro.utoronto.ca. Shock Dynamics in Stellar Outbursts. I. Shock Formation. United States: N. p., 2017. Web. doi:10.3847/1538-4357/AA6D5C.
Ro, Stephen, & Matzner, Christopher D., E-mail: ro@astro.utoronto.ca. Shock Dynamics in Stellar Outbursts. I. Shock Formation. United States. doi:10.3847/1538-4357/AA6D5C.
Ro, Stephen, and Matzner, Christopher D., E-mail: ro@astro.utoronto.ca. Sat . "Shock Dynamics in Stellar Outbursts. I. Shock Formation". United States. doi:10.3847/1538-4357/AA6D5C.
@article{osti_22663597,
title = {Shock Dynamics in Stellar Outbursts. I. Shock Formation},
author = {Ro, Stephen and Matzner, Christopher D., E-mail: ro@astro.utoronto.ca},
abstractNote = {Wave-driven outflows and non-disruptive explosions have been implicated in pre-supernova outbursts, supernova impostors, luminous blue variable eruptions, and some narrow-line and superluminous supernovae. To model these events, we investigate the dynamics of stars set in motion by strong acoustic pulses and wave trains, focusing on nonlinear wave propagation, shock formation, and an early phase of the development of a weak shock. We identify the shock formation radius, showing that a heuristic estimate based on crossing characteristics matches an exact expansion around the wave front and verifying both with numerical experiments. Our general analytical condition for shock formation applies to one-dimensional motions within any static environment, including both eruptions and implosions. We also consider the early phase of shock energy dissipation. We find that waves of super-Eddington acoustic luminosity always create shocks, rather than damping by radiative diffusion. Therefore, shock formation is integral to super-Eddington outbursts.},
doi = {10.3847/1538-4357/AA6D5C},
journal = {Astrophysical Journal},
number = 1,
volume = 841,
place = {United States},
year = {Sat May 20 00:00:00 EDT 2017},
month = {Sat May 20 00:00:00 EDT 2017}
}