Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toward computing sensitivities of average quantities in turbulent flows   Chaotic dynamical systems such as turbulent flows are characterized by an
exponential divergence of infinitesimal perturbations to initial conditions.
Therefore, conventional adjoint/tangent sensitivity analysis methods that are
successful with RANS simulations fail in the case of chaotic LES/DNS. In this
work, we discuss the limitations of current approaches, including
ensemble-based and shadowing-based sensitivity methods, that were proposed as
alternatives to conventional sensitivity analysis. We propose a new
alternative, called the space-split sensitivity (S3) algorithm, that is
computationally efficient and addresses these limitations. In this work, the
derivation of the S3 algorithm is presented in the special case where the
system converges to a stationary distribution that can be expressed with a
probability density function everywhere in phase-space. Numerical examples of
low-dimensional chaotic maps are discussed where S3 computation shows good
agreement with finite-difference results, indicating potential for the
development of the method in more generality.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg