The task of designing that new Enterprise fell to Sean Hargreaves (who also designed the USS Franklin and Starbase Yorktown). As you can see in the images below, which Sean has released, he skillfully blended the key shapes from the original, prime timeline, Enterprise, with new organic forms, that makes this new USS Enterprise-A both familiar and very new.
Sean described his brief when he shared these images on Facebook:
This was the design I gave visual effects, so any changes beyond what you see here were out of my hands, but looking at the film its pretty close.
The brief was to beef up the neck and arms, but I took it upon myself to go further. Certain details and livery are not present as I took it to a certain level, time permitting. Also the classic red graphics were placeholders at the time.
I worked many long hours at work and after work and weekends on this, knowing the weight of the responsibility, which I didn't take lightly.
From growing up watching Star Trek in the countryside of Northern England, this was a great honor to be one of the few to be given the great responsibility to design this ship.
I especially like the rear view above, the way the pylons blend into the engineering hull and create on continuous form between them is pleasingly Calatrava-esque.
Paramount have yet to release any official images of the new Enterprise-A; indeed the shots of her were some of the only ones in the film not revealed at all in any of the trailers! So it will probably be a while longer before we can really scrutinise the final design as seen on screen. But the artwork above gives us pretty good idea, as not too much was changed, and I think she looks like a splendid ship!
You can see more of Sean's work from the film in my previous reports on the USS Franklin and Starbase Yorktown. Sean has made some of his work publicly viewable on his Facebook profile, and you can see more of his wider portfolio on his website. To keep track of all the latest information on Star Trek Beyond, including other behind the scenes coverage, visit my Star Trek Beyond guide page. I'll be posting even more concept art from the film in the coming days.