Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of resolution inhomogeneity in large-eddy simulation   Large Eddy Simulation (LES) of turbulence in complex geometries is often
conducted using strongly inhomogeneous resolution. The issues associated with
resolution inhomogeneity are related to the noncommutativity of the filtering
and differentiation operators, which introduces a commutation term into the
governing equations. Neglect of this commutation term gives rise to commutation
error. While the commutation error is well recognized, it is often ignored in
practice. Moreover, the commutation error arising from the implicit part of the
filter (i.e., projection onto the underlying discretization) has not been well
investigated. Modeling the commutator between numerical projection and
differentiation is crucial for correcting errors induced by resolution
inhomogeneity in practical LES settings, which typically rely solely on
implicit filtering. Here, we employ a multiscale asymptotic analysis to
investigate the characteristics of the commutator. This provides a statistical
description of the commutator, which can serve as a target for the statistical
characteristics of a commutator model. Further, we investigate how commutation
error manifests in simulation and demonstrate its impact on the convection of a
packet of homogeneous isotropic turbulence through an inhomogeneous grid. A
connection is made between the commutation error and the propagation properties
of the underlying numerics. A modeling approach for the commutator is proposed
that is applicable to LES with filters that include projections to the discrete
solution space and that respects the numerical properties of the LES evolution
equation. It may also be useful in addressing other LES modeling issues such as
discretization error.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: eess