My eyes water terribly whenever a cold breeze hits them. How do I stop that?

It seems to be part of aging. Rheumy eyed old man syndrome, I suppose. It started in my 50s and has slowly gotten worse. Now, if it’s really cold out, and there is any breeze, my eyes water so bad it’s hard to see through all the tears. More wind, more water.

I have a pair of wrap-around dark glasses and a clear pair of safety glasses for night use. When it’s really cold and windy, nothing but a pai of ski goggles will do. Is there any simple treatment to deal with it, or is eye protection the only solution?