Hydrodynamical simulations and similarity relations for eruptive mass
loss from massive stars
Monthly Notices of the Royal Astronomical Society Oxford University Press (OUP)
Authors:
Stanley P Owocki, Ryo Hirai, Philipp Podsiadlowski, Fabian Schneider
Abstract:
Motivated by the eruptive mass loss inferred from Luminous Blue Variable
(LBV) stars, we present 1D hydrodynamical simulations of the response from
sudden energy injection into the interior of a very massive ($100 \, M_\odot$)
star. For a fiducial case with total energy addition set to a factor $f=0.5$ of
the net stellar binding energy, and applied within the stellar envelope, we
detail the dynamical response that leads to ejection of the outermost $7.2 \,
M_\odot$. We find that the ejecta's variations in time $t$ and radius $r$ for
the velocity $v$, density $\rho$, and temperature $T$ are quite well fit by
similarity forms in the variable $r/t \approx v$. Specifically the scaled
density follows a simple exponential decline $\rho t^{3} \sim \exp (-r/v_{\rm
o} t)$. This `exponential similarity' leads to analytic scaling relations for
total ejecta mass $\Delta M$ and kinetic energy $\Delta K$ that agree well with
the hydrodynamical simulations, with the specific-energy-averaged speed related
to the exponential scale speed $v_{\rm o}$ through ${\bar v} \equiv \sqrt{2
\Delta K/\Delta M} = \sqrt{12} \, v_{\rm o}$, and a value comparable to the
star's surface escape speed, $v_{\rm esc}$. Models with energy added in the
core develop a surface shock breakout that propels an initial, higher-speed
ejecta ($>$5000km s$^{-1}$), but the bulk of the ejected material still follows
the same exponential similarity scalings with ${\bar v} \approx v_{\rm esc}$. A
broader parameter study examines how the ejected mass and energy depends on the
energy-addition factor $f$, for three distinct model series that locate the
added energy in either the core, envelope, or near-surface. We conclude by
discussing the relevance of these results for understanding LBV outbursts and
other eruptive phenomena, such as failed supernovae and pulsational pair
instability events.