When I was there we were running ~100 million cell (vehicle) or (vehicle + pad) Hybrid RANS/LES sims with moving overset grids, maybe 10-20 species reactive combustion chemistry (SSMEs and SRBs lighting together), and Lagrangian evaporative particle dynamics (launch water suppression) using Overflow/LARC [5], or Loci/Mississippi State University [6]. Note: My info's a decade out of data, so no idea what the SOTA is these days. More than this.
If you're interested in the field and what a lot of the industry is concerned about, then while old (2014), the CFD Vision 2030 Study is not a bad orientation. [7]
Try to get a ticket to Supercomputing and go wander around. This year was in Denver. [8] Their focus tends to be on "large" though, so you'll mostly get massive weather simulations and stellar cloud dynamics. I like the conference, yet its difficult to get any notice unless you did #CPUs/#GPUs/#FPGAs++.
GOV Outside NASA: NIST (Gaithersburg), DOE (Oak Ridge, Sandia, Los Alamos), Air Force (AF Research Lab), Huntington Beach.
[1] NASA Advanced Supercomputing Division: https://en.wikipedia.org/wiki/NASA_Advanced_Supercomputing_D...
[2] NASA, MSFC: https://www.nasa.gov/wp-content/uploads/2016/01/g-28367g_pst...
[3] Somewhat old examples: https://ntrs.nasa.gov/api/citations/20140016892/downloads/20...
[4] NASA Ames: https://www.nasa.gov/entry-systems-and-technology-division/
[5] OVERFLOW/NASA/LARC: https://overflow.larc.nasa.gov/
[6] Loci/MSU: https://simcenter.msstate.edu/
[7] CFD Vision 2030 Study: https://ntrs.nasa.gov/api/citations/20140003093/downloads/20...
[8] Supercomputing SC23: https://sc23.supercomputing.org/