  The movement of small but finite spherical particles in a fluid can be
described by the Maxey-Riley equation (MRE) if they are too large to be
considered passive tracers. The MRE contains an integral "history term"
modeling wake effects, which causes the force acting on a particle at some
given time to depend on its full past trajectory. The history term causes
complications in the numerical solution of the MRE and is therefore often
neglected, despite both numerical and experimental evidence that its effects
are generally not negligible. By numerically computing trajectories with and
without the history term of a large number of particles in different flow
fields, we investigate its impact on the large-scale Lagrangian dynamics of
simulated particles. We show that for moderate to large Stokes numbers,
ignoring the history term leads to significant differences in clustering
patterns. Furthermore, we compute finite-time Lyapunov exponents and show that,
even for small particles, the differences in the resulting scalar field from
ignoring the BHT can be significant, in particular if the underlying flow is
turbulent.
