Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three dimensional high-order gas-kinetic scheme for supersonic isotropic
  turbulence II: coarse-grained analysis of compressible $K_{sgs}$ budget   The direct numerical simulation (DNS) of compressible isotropic turbulence up
to the supersonic regime $Ma_{t} = 1.2$ has been investigated by high-order
gas-kinetic scheme (HGKS) [{\it{Computers}} \& {\it{Fluids, 192, 2019}}]. In
this study, the coarse-grained analysis of subgrid-scale (SGS) turbulent
kinetic energy $K_{sgs}$ budget is fully analyzed for constructing one-equation
SGS model in the compressible large eddy simulation (LES). The DNS on a much
higher turbulent Mach number up to $Ma_{t} = 2.0$ has been obtained by HGKS,
which confirms the super robustness of HGKS. Then, the exact compressible SGS
turbulent kinetic energy $K_{sgs}$ transport equation is derived with density
weighted filtering process. Based on the compressible $K_{sgs}$ transport
equation, the coarse-grained processes are implemented on three sets of
unresolved grids with the Box filter. The coarse-grained analysis of
compressible $K_{sgs}$ budgets shows that all unresolved source terms are
dominant terms in current system. Especially, the magnitude of SGS
pressure-dilation term is in the order of SGS solenoidal dissipation term
within the initial acoustic time scale. Therefore, it can be concluded that the
SGS pressure-dilation term cannot be neglected as the previous work. The
delicate coarse-grained analysis of SGS diffusion terms in compressible
$K_{sgs}$ equation confirms that both the fluctuation velocity triple
correlation term and the pressure-velocity correlation term are dominant terms.
Current coarse-grained analysis gives an indication of the order of magnitude
of all SGS terms in compressible $K_{sgs}$ budget, which provides a solid basis
for compressible LES modeling in high Mach number turbulent flow.

16
The categories of this paper are: stat
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci