  We present a splitting-free variant of the vorticity redistribution method.
Spatial consistency and stability when combined with a time-stepping scheme are
proven. We propose a new strategy preventing excessive growth in the number of
particles while retaining the order of consistency. The novel concept of small
neighbourhoods significantly reduces the method's computational cost. In
numerical experiments the method showed second order convergence, one order
higher than predicted by the analysis. Compared to the fast multipole code used
in the velocity computation, the method is about three times faster.
