Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Volume approximations of the Euler system with variable
  congestion   We are interested in the numerical simulations of the Euler system with
variable congestion encoded by a singular pressure. This model describes for
instance the macroscopic motion of a crowd with individual congestion
preferences. We propose an asymptotic preserving (AP) scheme based on a
conservative formulation of the system in terms of density, momentum and
density fraction. A second order accuracy version of the scheme is also
presented. We validate the scheme on one-dimensional test-cases and extended
here to higher order accuracy. We finally carry out two dimensional numerical
simulations and show that the model exhibit typical crowd dynamics.

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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin