  A multi-scale meshfree particle method for macroscopic mean field
approximations of generalized interacting particle models is developed and
investigated. The method is working in a uniform way for large and small
interaction radii. The well resolved case for large interaction radius is
treated, as well as underresolved situations with small values of the
interaction radius. In the present work we extend the approach from [39] for
porous media type limit equations to a more general case, including in
particular hyperbolic limits. The method can be viewed as a numerical
transition between a DEM-type method for microscopic interacting particle
systems and a meshfree particle method for macroscopic equations. We discuss in
detail the numerical performance of the scheme for various examples and the
potential gain in computation time. The latter is shown to be particularly high
for situations near the macroscopic limit. There are various applications of
the method to problems involving mean field approximations in swarming, tra?c,
pedestrian or granular fow simulation.
