Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Similarity model for corner roll in turbulent Rayleigh-Benard convection   The corner roll (CR) in the Rayleigh-B\'{e}nard (RB) convection accounts for
the behaviors of heat transport and convection flow at the corner. Streamlines
of the three-dimensional direct numerical simulations for $10^8<Ra<5\times10^9$
show that CR presents well-defined similarity and multi-layer structure. A
stream function for CR is developed by homotopy and the structure ensemble
dynamics. The model presents the scaling of Reynolds number of corner roll
$Re_{cr}\sim Ra^{1/4}$. Scaling of CR scale $r = 0.77 Ra^{-0.085}$ indicates
strong near-wall shearing induced by wind and provides a probability of the
`ultimate regime' at high $Ra$.

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The categories of this paper are: cs
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph