Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A High-Order Variational Multiscale Approach to Turbulence for Compact
  Nodal Schemes   This article presents a formulation that extends the variational multiscale
modelling for compressible large-eddy simulation to a vast family of compact
nodal numerical methods represented by the high-order flux reconstruction
scheme. The theoretical aspects of the proposed formulation are laid down via
rigorous mathematical derivations which clearly expose the underlying
assumptions and approximations and provide sufficient details for accurate
reproduction of the methodology. The final form is assessed on a Taylor-Green
vortex benchmark with Reynolds number of 5000 and compared to filtered direct
numerical simulation data. These numerical experiments exhibit the important
role of sufficient de-aliasing, appropriate amount of upwinding from Roe's
numerical flux and large/small scale partition, in achieving better agreement
with reference data, especially on coarse grids, when compared to the baseline
implicit large-eddy simulation.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph