Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Temporal Slow Growth Formulation for Direct Numerical Simulation of
  Compressible Wall--Bounded Flows   A new slow growth formulation for DNS of wall-bounded turbulent flow is
developed and demonstrated to enable extension of slow growth modeling concepts
to complex boundary layer flows. As in previous slow growth approaches, the
formulation assumes scale separation between the fast scales of turbulence and
the slow evolution of statistics such as the mean flow. This separation enables
the development of approaches where the fast scales of turbulence are directly
simulated while the forcing provided by the slow evolution is modeled. The
resulting model admits periodic boundary conditions in the streamwise
direction, which avoids the need for extremely long domains and complex inflow
conditions that typically accompany spatially developing simulations. Further,
it enables the use of efficient Fourier numerics. Unlike previous approaches,
the present approach is based on a temporally evolving boundary layer and is
specifically tailored to give results for calibration and validation of RANS
turbulence models. The use of a temporal homogenization simplifies the
modeling, enabling straightforward extension to flows with complicating
features, including cold and blowing walls. To generate data useful for
calibration and validation of RANS models, special care is taken to ensure that
the mean slow growth forcing is closed in terms of the mean and other
quantities that appear in standard RANS models, ensuring that there is no
confounding between typical RANS closures and additional closures required for
the slow growth problem. The performance of the method is demonstrated on two
problems: an essentially incompressible, zero-pressure-gradient boundary layer
and a transonic boundary layer over a cooled wall with wall transpiration.

36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ