  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.
