Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral numerical schemes for time-dependent convection with viscosity
  dependent on temperature   This article proposes spectral numerical methods to solve the time evolution
of convection problems with viscosity strongly depending on temperature at
infinite Prandtl number. Although we verify the proposed techniques just for
viscosities that depend exponentially on temperature, the methods are
extensible to other dependence laws. The set-up is a 2D domain with periodic
boundary conditions along the horizontal coordinate. This introduces a symmetry
in the problem, the O(2) symmetry, which is particularly well described by
spectral methods and motivates the use of these methods in this context. We
examine the scope of our techniques by exploring transitions from stationary
regimes towards time dependent regimes. At a given aspect ratio stable
stationary solutions become unstable through a Hopf bifurcation, after which
the time-dependent regime is solved by the spectral techniques proposed in this
article.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio