  We propose a combined computational approach based on the multi-phase-field
and the lattice Boltzmann method for the motion of solid particles under the
action of capillary forces. The accuracy of the method is analyzed by
comparison with the analytic solutions for the motion of two parallel plates of
finite extension connected by a capillary bridge. The method is then used to
investigate the dynamics of multiple spherical solid bodies connected via
capillary bridges. The amount of liquid connecting the spheres is varied, and
the influence of the resulting liquid-morphology on their dynamics is
investigated. It is shown that the method is suitable for a study of
liquid-phase sintering which includes both phase transformation and capillary
driven rigid body motion.
