Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy cascade and scaling in supersonic isothermal turbulence   Supersonic turbulence plays an important role in a number of extreme
astrophysical and terrestrial environments, yet its understanding remains
rudimentary. We use data from a three-dimensional simulation of supersonic
isothermal turbulence to reconstruct an exact fourth-order relation derived
analytically from the Navier-Stokes equations (Galtier and Banerjee, Phys. Rev.
Lett., vol. 107, 2011, p. 134501). Our analysis supports a Kolmogorov-like
inertial energy cascade in supersonic turbulence previously discussed on a
phenomenological level. We show that two compressible analogues of the
four-fifths law exist describing fifth- and fourth-order correlations, but only
the fourth-order relation remains `universal' in a wide range of Mach numbers
from incompressible to highly compressible regimes. A new approximate relation
valid in the strongly supersonic regime is derived and verified. We also
briefly discuss the origin of bottleneck bumps in simulations of compressible
turbulence.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int