  We present a progress report on our work on lattice Boltzmann methods for
colloidal suspensions. We focus on the treatment of colloidal particles in
binary solvents and on the inclusion of thermal noise. For a benchmark problem
of colloids sedimenting and becoming trapped by capillary forces at a
horizontal interface between two fluids, we discuss the criteria for parameter
selection, and address the inevitable compromise between computational
resources and simulation accuracy.

Soft Condensed Matter