“…However, neither velocity nor traction values are known on the particle surface. We recently presented a boundary element formulation for tracking multiple particle trajectories in Stokes flow for microfluidic applications [
39, 40] through which a partitioning process was also described to speed up the calculations. As stated in our formulation, the constraints associated with rigid body motion can be imposed for the closure of the problem as:
where
is the velocity at a node on the boundary of the particle,
is the velocity of the selected center of the particle,
is the angular velocity, and
is the relative position vector of the boundary node to the center of the particle and
is the slip‐velocity on the particle surface given in Equation ().…”