Applied online, got a phone call 5 months later. Got flown out for an interview - flight, hotel, rental car paid for by company. Arrived at 7:30am, HR meeting with other candidates (get itinerary, check passport, copy transcripts), took tour of the shipyard, went for interview with the department you'll most likely be working with (in New London - get shuttled over there), lunch with a member of the same department, return to Groton for exit interview with HR. The people there were really nice. The New London office is much nicer, seemed like a nice place to work.

At a general hiring event, they paired me with different engineers hiring for their respective teams. The interviews were generally based on a review of my resume, and how I felt I would fit into their respective team. Your individual experience will vary based on the team you are placed to interview for, as well as whoever is interviewing you. One person asked me a bunch of brain teasers, another just generally asked about my opinions on certain tasks to gauge if I would enjoy working in their team.