Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uncertainty Quantification of the time averaging of a Statistics
  Computed from Numerical Simulation of Turbulent Flow   Rigorous assessment of the uncertainty is crucial to the utility of numerical
simulation of Turbulent flow. The Turbulent flows are often stationary and
ergodic, after some initial transient time. Therefore, the time averaged of a
quantity (velocity, TKE (turbulence kinetic energy), total drag, etc) converges
to a constant as the averaging interval increases. This infinite-time-average
statistic is of particular interest in many problems, such as aerodynamic shape
optimization. Since taking an average over the infinite time horizon is not
possible, some finite-time approximation of the infinite-time-average statistic
of interest is used in practice. However, because of the initial transient
behavior of the turbulence simulations, this estimate is biased. This issue is
solved by deleting the initial transient part of the simulation. The other
important issue is the error of this approximation decreases slowly, like the
reciprocal of the square roots of the averaging time. In this paper, we develop
a framework to first automatically deleted the transient part of a turbulence
simulation, then, quantify precisely the uncertainty of such a
finite-time-average approximation of an infinite-time-average statistic of a
stationary and ergodic process.

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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th