Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on fitting a generalized Moody diagram for wall modeled Large
  Eddy Simulations   Motivated by the needs of wall modeled Large Eddy Simulation (LES), we
introduce fits to numerical solutions of the Reynolds Averaged Navier-Stokes
equations in their simplest near-wall, boundary layer approximation including a
mixing-length model. We formulate the problem such that independent
dimensionless variables are those directly available in LES. We provide
practical fits for the dependent variable, fits that encompass a smooth
transition between the viscous sublayer and inertial logarithmic layer, and
then progress first considering moderate pressure gradients as well as
roughness effects under the assumption that the mixing-length is not affected
by the pressure gradient. An alternative fit based on the empirical wall model
of Nickels (J. Fluid Mech. vol.512, pp. 217-239, 2004) is also provided, taking
into account possible effects of pressure gradient on turbulence near-wall
structure. We then consider the case of general pressure gradients, both
favorable and adverse, up to conditions of separation, for both smooth and
rough surfaces. The proposed fitting functions constitute a generalized Moody
chart, comply with analytical solutions valid in various asymptotic regimes,
and obviate the need for numerical iterative solution methods or near-wall
numerical integration of ordinary differential equations during LES.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs