The lattice Boltzmann method, an alternative approach to solving a flu
id flow system, is used to analyze the dynamics of particles suspended
in fluid. The interaction rule between the fluid and the suspended pa
rticles is developed for real suspensions where the particle boundarie
s are treated as no-slip impermeable surfaces. This method correctly a
nd accurately determines the dynamics of single particles and multi-pa
rticles suspended in the fluid. With this method, computational time s
cales linearly with the number of suspensions, N, a significant advant
age over other computational techniques which solve the continuum mech
anics equations, where the computational time scales as N-3. Also, thi
s method solves the full momentum equations, including the inertia ter
ms, and therefore is not limited to low particle Reynolds number.