Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feasibility analysis of ensemble sensitivity computation in turbulent
  flows   In chaotic systems, such as turbulent flows, the solutions to tangent and
adjoint equations exhibit an unbounded growth in their norms. This behavior
renders the instantaneous tangent and adjoint solutions unusable for
sensitivity analysis. The Lea-Allen-Haine ensemble sensitivity (ES) estimates
provide a way of computing meaningful sensitivities in chaotic systems by
utilizing tangent/adjoint solutions over short trajectories. In this paper, we
analyze the feasibility of ES computations under optimistic mathematical
assumptions on the flow dynamics. Furthermore, we estimate upper bounds on the
rate of convergence of the ES method in numerical simulations of turbulent
flow. Even at the optimistic upper bound, the ES method is computationally
intractable in each of the numerical examples considered.

21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci