Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Matryoshka Run: Eulerian Refinement Strategy to Study Statistics of
  Turbulence in Virialized Cosmic Structures   We study the statistical properties of turbulence driven by structure
formation in a massive merging galaxy cluster at z=0. The development of
turbulence is ensured as the largest eddy turnover time is much shorter than
the Hubble time independent of mass and redshift. We achieve a large dynamic
range of spatial scales through a novel Eulerian refinement strategy where the
cluster volume is refined with progressively finer uniform nested grids during
gravitational collapse. This provides an unprecedented resolution of 7.3 h^{-1}
kpc across the virial volume. The probability density functions of various
velocity derived quantities exhibit the features characteristic of fully
developed compressible turbulence observed in dedicated periodic-box
simulations. Shocks generate only 60% of the total vorticity within \rvir/3
region and 40% beyond that. We compute second and third order, longitudinal and
transverse, structure functions for both solenoidal and compressional
components, in the cluster core, virial region and beyond. The structure
functions exhibit a well defined inertial range. The injection scale is
comparable to the virial radius but increases towards the outskirts. Within
\rvir/3, the spectral slope of the solenoidal component is close to
Kolmogorov's, but for the compressional component is substantially steeper and
close to Burgers'; the flow is mostly solenoidal and statistically rigorously
consistent with fully developed, homogeneous and isotropic turbulence. Small
scale anisotropy appears due to numerical artifact. Towards the virial region,
the flow becomes compressional, the structure functions flatter and modest
genuine anisotropy appear. In comparison, mesh adaptivity based on Lagrangian
refinement and the same finest resolution, leads to lack of turbulent power on
small scale and excess thereof on large scales, and unreliable density weighted
structure functions.

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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: cs