  In this review we discuss the recent progress in the simulation of soft
active matter systems and in particular the hydrodynamics of microswimmers
using the method of multiparticle collision dynamics, which solves the
hydrodynamic flows around active objects on a coarse-grained level. We first
present a brief overview of the basic simulation method and the coupling
between microswimmers and fluid. We then review the current achievements in
simulating flexible and rigid microswimmers using multiparticle collision
dynamics, and briefly conclude and discuss possible future directions.
