Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Downscaling the 2D Benard Convection Equations Using Continuous Data
  Assimilation   We consider a recently introduced continuous data assimilation (CDA) approach
for downscaling a coarse resolution configuration of the 2D Benard convection
equations into a finer grid. In this CDA, a nudging term, estimated as the
misfit between some interpolants of the assimilated coarse grid measurements
and the fine grid model solution, is added to the model equations to constrain
the model. The main contribution of this study is a performance analysis of CDA
for downscaling measurements of temperature and velocity. These measurements
are assimilated either separately or simultaneously and the results are
compared against those resulting from the standard point-to-point nudging
approach (NA). Our numerical results suggest that the CDA solution outperforms
that of NA, always converging to the true solution when the velocity is
assimilated as has been theoretically proven. Assimilation of temperature
measurements only may not always recover the true state as demonstrated in the
case study. Various runs are conducted to evaluate the sensitivity of CDA to
noise in the measurements, the size and the time frequency of the measured
grid, suggesting a more robust behaviour of CDA compared to NA.

5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int