Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability Density Function of Longitudinal Velocity Increment in
  Homogeneous Turbulence   Two conditional averages for the longitudinal velocity increment u_r of the
simulated turbulence are calculated: h(u_r) is the average of the increment of
the longitudinal Laplacian velocity field with u_r fixed, while g(u_r) is the
corresponding one of the square of the difference of the gradient of the
velocity field. Based on the physical argument, we suggest the formulae for h
and g, which are quite satisfactorily fitted to the 512^3 DNS data. The
predicted PDF is characterized as
  (1) the Gaussian distribution for the small amplitudes,
  (2) the exponential distribution for the large ones, and (3) a prefactor
before the exponential function for the intermediate ones.

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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: math
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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: patt-sol