Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinematic simulation of multi point turbulent dispersion   As three particles are advected by a turbulent flow, they separate from each
other and develop non trivial geometries, which effectively reflect the
structure of the turbulence. We investigate here the geometry, in a statistical
sense, of three Lagrangian particles advected, in 2-dimensions, by Kinematic
Simulation (KS). KS is a Lagrangian model of turbulent diffusion that makes no
use of any delta correlation in time at any level. With this approach,
situations with a very large range of inertial scales and varying persistence
of spatial flow structure can be studied.
  We first show numerically that the model flow reproduces recent experimental
results at low Reynolds numbers. The statistical properties of the shape
distribution at much higher Reynolds number is then considered. Even at the
highest available inertial range, of scale, corresponding to a ratio between
large and small scales of $L/\eta \approx 17,000$, we find that the radius of
gyration of the three points does not precisely follow Richardson's prediction.
The shapes of the triangles have a high probability to be elongated. The
corresponding shape distribution is not found to be perfectly self similar,
even for our highest ratio of inertial scales. We also discuss how the
parameters of the synthetic flow, such as the exponent of the spectrum and the
effect of the sweeping affect our results. Our results suggest that a non
trivial distribution of shapes will be observed at high Reynolds numbers,
although it may not be exactly self similar. Special attention is given to the
effects of persistence of spatial flow structure.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys