I assume that the prime mover is wind . . . wind at the ground level. So one way "greenery" would work is to slow down the wind. Seems like a good idea, but it is not obvious what sort of "greenery" is optimal. I use a beach grass that is extremely tenacious. Interestingly, in just a few years, the beach grass turns the sand dune into soil that one might imagine actually using for some sort of agricultural activity. For you, delivering water to the greenery by drip irrigation or whatever may be a problem. This is not a problem that I have, so I cannot comment on it.
Beyond that, one might think that there would be man-made devices that could work. For example, "snow" fences might be of some use. Perhaps windmills might provide some benefit beyond just producing electricity, because windmills do take the energy out of the wind "downstream".
Hello peter F. Colwell, thank you infinitely for your clearing up ideas.
We have no underground water shortage and we always use (traditional sand fence) brought from palm trees, but the huge amount of dune sand make it very difficult to stop because it comes from all directions; we are in the world's large desert...
Thank you for your response; however , the sand exists with enormous quantites which it is impossible to collect it (it's the same that yo try to absorb ocean water by sponge) this region is called (desert) or great sahara...