7. Computation of Flows in Free Space

In this chapter we apply the vorticity redistribution method to several flows in free space. We present numerical results for the two-dimensional flow due to the diffusion of a single point vortex in section 7.1 and due to the diffusion of a pair of counter-rotating point vortices in section 7.2. In section 7.3 we present results for two simple Stokes flows in three-dimensional free space: the flow due to a pair of vortex poles and the flow due to a vortex ring.