Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grid-point and time-step requirements for direct numerical simulation
  and large-eddy simulation   We revisit the grid-point requirement estimates in Choi and Moin [Phys.
Fluid, 24, 011702 (2012)] and establish more general grid-point requirements
for direct numerical simulations (DNS) and large-eddy simulations (LES) of a
spatially developing turbulent boundary layer. We show that, by allowing the
local grid spacing to scale with the local Kolmogorov length scale, the
grid-point requirement for DNS of a spatially developing turbulent boundary
layer is $N\sim Re_{L_x}^{2.05}$ rather than $N\sim Re_{L_x}^{2.64}$ as
suggested by Choi and Moin, where $N$ is the number of grid points and $L_x$ is
the length of the plate. In addition to the grid-point requirement, we estimate
the time-step requirement for DNS and LES. We show that, for a code that treats
the convective term explicitly, the time steps required to get converged
statistics are $N_t\sim Re_{L_x}/Re_{x_0}^{6/7}$ for wall-modeled LES and
$N_t\sim Re_{L_x}/Re_{x_0}^{1/7}$ for wall-resolved LES and DNS (with different
prefactors), where $Re_{x_0}$ is the inlet Reynolds number. The grid-point and
time-step requirement estimates allow us to estimate the overall cost of DNS
and LES. According to present estimates, the costs of DNS, wall-resolved LES
and wall-modeled LES scale as $Re_{L_x}^{2.91}$, $Re_{L_x}^{2.72}$, and
$Re_{L_x}^{1.14}$.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex