Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Impact of Three Dimensions in Simulations of Neutrino-Driven
  Core-Collapse Supernova Explosions   We present 1D, 2D, and 3D hydrodynamical simulations of core-collapse
supernovae including a parameterized neutrino heating and cooling scheme in
order to investigate the critical core neutrino luminosity (L_crit) required
for explosion. In contrast to some previous works, we find that 3D simulations
explode later than 2D simulations, and that L_crit at fixed mass accretion rate
is somewhat higher in 3D than in 2D. We find, however, that in 2D L_crit
increases as the numerical resolution of the simulation increases. In contrast
to some previous works, we argue that the average entropy of the gain region is
in fact not a good indicator of explosion but is rather a reflection of the
greater mass in the gain region in 2D. We compare our simulations to
semi-analytic explosion criteria and examine the nature of the convective
motions in 2D and 3D. We discuss the balance between neutrino-driven-buoyancy
and drag forces. In particular, we show that the drag force will be
proportional to a buoyant plume's surface area while the buoyant force is
proportional to a plume's volume and, therefore, plumes with greater
volume-to-surface area ratios will rise more quickly. We show that buoyant
plumes in 2D are inherently larger, with greater volume-to-surface area ratios,
than plumes in 3D. In the scenario that the supernova shock expansion is
dominated by neutrino-driven buoyancy, this balance between buoyancy and drag
forces may explain why 3D simulations explode later than 2D simulations and why
L_crit increases with resolution. Finally, we provide a comparison of our
results with other calculations in the literature.

30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga