Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rotating Taylor-Green Flow   The steady state of a forced Taylor-Green flow is investigated in a rotating
frame of reference. The investigation involves the results of 184 numerical
simulations for different Reynolds number $\mathrm{Re}_{_{F}}$ and Rossby
number $\mathrm{Ro}_{_F}$. The large number of examined runs allows a
systematic study that enables the mapping of the different behaviors observed
to the parameter space ($\mathrm{Re}_{_{F}},\mathrm{Ro}_{_{F}}$), and the
examination of different limiting procedures for approaching the large
$\mathrm{Re}_{_{F}}$ small $\mathrm{Ro}_{_F}$ limit. Four distinctly different
states were identified: {\it laminar, intermittent bursts, quasi-2D
condensates, and weakly rotating turbulence}. These four different states are
separated by power-law boundaries $\mathrm{Ro}_{_F} \propto
\mathrm{Re}_{_{F}}^{-\gamma}$ in the small $\mathrm{Ro}_{_F}$ limit. In this
limit, the predictions of asymptotic expansions can be directly compared to the
results of the direct numerical simulations. While the first order expansion is
in good agreement with the results of the linear stability theory, it fails to
reproduce the dynamical behavior of the quasi-2D part of the flow in the
nonlinear regime, indicating that higher order terms in the expansion need to
be taken in to account. The large number of simulations allows also to
investigate the scaling that relates the amplitude of the fluctuations with the
energy dissipation rate and the control parameters of the system for the
different states of the flow. Different scaling was observed for different
states of the flow, that are discussed in detail. The present results clearly
demonstrate that the limits small Rossby and large Reynolds do not commute and
it is important to specify the order in which they are taken.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph