  We study the clustering properties of inertial particles in a turbulent
viscoelastic fluid. The investigation is carried out by means of direct
numerical simulations of turbulence in the Oldroyd-B model. The effects of
polymers on the small scale properties of homogeneous turbulence are considered
in relation with their consequences on clustering of particles, both lighter
and heavier than the carrying fluid. We show that, depending on particle and
flow parameters, polymers can either increase or decrease clustering.
