As a person who did a PhD in CFD, I must admit I never encountered the vorticity confinement method and curl-noise turbulence. I guess you learn something new every day! Also, in industrial CFD, where the Reynolds numbers are higher you'd never want something like counteracting artificial dissipation of the numerical method by trying to applying noise. In fact, quite often people want artificial dissipation to stabil…
Was the PhD worth it in your opinion?
The two sibling comments both mention the economics isn’t guaranteed - and of course nothing is guaranteed on a case by case basis. However, you should be aware that people with PhDs in the US earn an average of around 1.5x more than people with bachelor’s degrees, and the income average for advanced degrees is around 3x higher than people without a 4-year degree. Patents are pretty well dominated by people with PhDs. There’s lots of stats on all this, but I learned it specifically from a report by the St Louis Fed that examined both the incomes as well as the savings rates for people with different educational attainment levels, and also looked at the changing trends over the years, and the differences by race. Statistically speaking, the economics absolutely favor getting an advanced degree of some kind, whether it’s a PhD or MD or JD or whatever.