Consider air flowing from North Pole to South Pole at the surface, rising from the South Pole to an upper layer, returning to the North Pole, descending, and repeating. There are no cyclones, the flow is constant, and there are places with zero horizontal velocity.

In reality the Earth rotates and the Coriolis force would create cyclonic circulations, but that's another matter.

Down that path lies chaos.

There are several ways to define these things. For example, in a small neighborhood, the particles could move at a speed proportional (ish) to the distance from the point. When you take 3D into account, some move tangentially, some move radially (ish) and it can all be smoothed out. It's easiest to imagine the entirety, then try to extend the macro movement smoothly into the corners. By using tricks such as asymptotic slowing it can all be done.

Are you having trouble visualising? Or are you worrying about the precise details. This is not a good medium for discussing either. A good text or tutorial on fluid mechanics will cover the various techniques for mapping an obvious flow into a less obvious flow.