I happened to find that one of the most important inventors of the renormalization group, Kenneth G. Wilson, won the Leroy Randle Grumman Award Medal in 1986, 4 years after his Nobel prize. Details in this site.
This Leroy Randle Grumman Award is obviously related to Leroy Randle Grumman, one of the cofounders of the Grumman company, now part of Northrop Grumman, one of the top defense contractors in the world and is famous for, e.g., the stealth aircraft.
I am curious about this prize for physicists and who the recipients were. However, I couldn't find any more info of this prize except that another applied physicist Petr Ufimtsev, father of stealth technology, won it for his electromagnetic wave diffraction theory.