  Particles are today the main tool to study superfluid turbulence and
visualize quantum vortices. In this work, we study the dynamics and the spatial
distribution of particles in co-flow and counterflow superfluid helium
turbulence in the framework of the two-fluid Hall-Vinen-Bekarevich-Khalatnikov
(HVBK) model. We perform three-dimensional numerical simulations of the HVBK
equations along with the particle dynamics that depends on the motion of both
fluid components. We find that, at low temperatures, where the superfluid mass
fraction dominates, particles strongly cluster in vortex filaments regardless
of their physical properties. At higher temperatures, as viscous drag becomes
important and the two components become tightly coupled, the clustering
dynamics in the coflowing case approach those found in classical turbulence,
while under strong counterflow, the particle distribution is dominated by the
quasi-two-dimensionalization of the flow.
