Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Implicit-Explicit Finite-Difference Lattice Boltzmann Model with Varying
  Adiabatic Index   The perfect fluid limit can be obtained from the Boltzmann equation in the
limit of vanishing Knudsen number. By treating the collision term in an
implicit manner, the implicit-explicit (IMEX) time stepping scheme allows this
limit to be achieved at finite values of the time step. We consider the 9th
order monotonicity-preserving (MP-9) scheme to implement the advection, which
is treated explicitly in the IMEX approach. We reduce the computational costs
using reduced distribution functions, which also permits the adiabatic index to
be varied. We validate the capabilities of our model by considering the
propagation of shock waves in one-dimensional and two-dimensional setups.

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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph