The dynamics of motion and charging of a macroscopic "dust'' particle in a
plasma with an ion flow is investigated by employing the particle-in-cell m
ethod. It is demonstrated that the charging and motion of the dust particle
levitating in an external parabolic potential is related to the ion flow.
This situation is relevant for the majority of experiments on the self-orga
nization and crystallization of colloidal dust grains in a low-temperature
plasma.