No there are not.Are there any supercomputers running FreeBSD?
If you define "supercomputer" as "on the top500 list", for the last ~9 years (since 2017), all 500 of them have run some flavor of Linux. There has never been a FreeBSD machine on that list. The last one that was "BSD based" (whatever that means) was turned off in 2013.
Because lots of people, companies and organizations invest effort to make Linux run highly efficiently on these machines. There are specialized compilers (Portland Group for example), highly tuned libraries (MPI), fast file systems (Lustre, Ceph, GPFS), and proprietary network interconnects. Not to mention the libraries required these days for GPU/TPU usage.If not, why not?
In a nutshell the answer is: Someone who spends a few M$ on a supercomputer will run whatever makes that machine most productive. They don't have time to experiment with an operating system that is less developed and tuned for that application. The effort required to port and tune/optimize the set of tools described above is a large team (dozens of dedicated people) for many months or a few years.
At the M$ to B$ level of investment and spending, these decisions are made very much based on numbers and evidence, not familiarity and emotion.I wonder how many of those decisions are made based on familiarity alone.