Well, first problem is to define "immediately adjacent". In analysis, there is no point "next to" the point 0. I assume you mean a small neighborhood.
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.
