> simulation

That's largely a Mechanical Engineering, Applied Math, and Applied Physics subfield now, not computer science. Most CS majors don't even know what an IVP is, let alone PDEs, nonlinear simulation, etc.

Most CS programs no longer require numerical methods and analysis classes which are critical for this as well as other adjacent subfields like AI/ML theory.

> embedded software

That's a computer engineering and MechE subfield now. Most CS programs don't require OS classes anymore let alone embedded programming.

> even general scientists that may not fall under traditional engineering

The job posting on USAJobs is clear. And most people who are serious about working in the space also know how federal hiring works.

> embedded software

> That's a computer engineering and MechE subfield now.

Do you mean EE subfield? I don't know many ME's working on embedded software.