  We propose a fluid-rigid body interaction benchmark problem, consisting of a
solid spherical obstacle in a Newtonian fluid, whose centre of mass is fixed
but is free to rotate. A number of different problems are defined for both two
and three spatial dimensions. The geometry is chosen specifically, such that
the fluid-solid partition does not change over time and classical fluid solvers
are able to solve the fluid-structure interaction problem. We summarise the
different approaches used to handle the fluid-solid coupling and numerical
methods used to solve the arising problems. The results obtained by the
described methods are presented and we give reference intervals for the
relevant quantities of interest.
