We developed a simulation scheme to predict the dynamic behavior of colloidal dispersion called "smoothed profile (SP) method". SP method provides a coupling scheme between continuum fluid dynamics and rigid-body dynamics through smoothed profile of colloidal particles. Moreover, SP method can incorporate multi-component fluids, such systems as charged colloids in electrolyte solutions. Numerical results which assess hydrodynamic interactions of colloidal dispersions are presented to validate SP method. Application of SP method is not restricted to a Newtonian solvent, but any constitutive model can be handled. Henceforth, it can be suitable to treat colloidal dispersions in complex fluids where solvent-mediated interaction dominate dynamical behaviors of colloids. (C) 2009 The Society of Powder Technology Japan. Published by Elsevier B.V. and The Society of Powder Technology Japan. All rights reserved.