Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A local dynamic model for large-eddy simulation   This paper proposes a local dynamic model for large-eddy simulation (LES)
without averaging in homogeneous directions. It is demonstrated that the
widely-used dynamic Smagorinsky model (DSM) has a singular dynamic model
constant if it is used without averaging. The singularity can cause exceedingly
large local values of the dynamic model constant. If these large values are not
mitigated by application of averaging, they can amplify discretization errors
and impair the stability of simulations. To improve the local applicability of
the DSM, the singularity is removed by replacing the resolved rate-of-strain
tensors in the Smagorinsky model with the resolved velocity gradient tensor.
These replacements result in the new dynamic gradient Smagorinsky model (DGSM).
Results of simulations of three canonical turbulent flows (decaying homogeneous
isotropic turbulence, a temporal mixing layer, and turbulent channel flow) are
presented to demonstrate the potential of this model. The DGSM provides
improved stability compared to the local DSM, and does not require averaging
for stability at time step sizes that are typically used for a static locally
consistent LES model. Results obtained with the DGSM are generally as accurate
as results obtained with the DSM, while the DGSM has lower computational
complexity. Moreover, the DGSM is easy to implement and does not require any
homogeneous direction in space or time. It is thus anticipated that the model
has a high potential for the simulation of complex flows.

10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph