Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flow states in two-dimensional Rayleigh-B\'enard convection as a
  function of aspect-ratio and Rayleigh number   In this numerical study on two-dimensional Rayleigh-B\'enard convection we
consider $10^7 \leq Ra \leq 10^{12}$ in aspect ratio $0.23 \leq \Gamma \leq 13$
samples. We focus on several cases. First we consider small aspect ratio cells,
where at high Ra number we find a sharp transition from a low Ra number branch
towards a high Ra number branch, due to changes in the flow structure.
Subsequently, we show that the influence of the aspect ratio on the heat
transport decreases with increasing aspect ratio, although even at very large
aspect ratio of $\Gamma\approx10$ variations up to 2.5% in the heat transport
as a function of \Gamma are observed. Finally, we observe long-lived transients
up to at least $Ra=10^9$, as in certain aspect ratio cells we observe different
flow states that are stable for thousands of turnover times.

36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex