Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An UQ-ready finite element solver for a two-dimensional RANS model of
  free plane jets   Numerical solution of the system of partial differential equations arising
from the Reynolds-Averaged Navier-Stokes (RANS) equations with $k-\epsilon$
turbulence model presents several challenges due to the advection dominated
nature of the problem and the presence of highly nonlinear reaction terms.
State-of-the-art software for the numerical solution of the RANS equations
address these challenges by introducing non-differentiable perturbations in the
model to ensure numerical stability. However, this approach leads to
difficulties in the formulation of the higher-order forward/adjoint problems,
which are needed for scalable Hessian-based uncertainty quantification (UQ)
methods. In this note, we present the construction of a UQ-ready flow solver,
i.e., one that is smoothly differentiable and provides not only forward solver
capabilities but also adjoint and higher derivatives capabilities.

6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom