Jester David
Hero
"D&D" is the name of the brand, not the edition.I know the name of the edition: Dungeons & Dragons. Same name as the last two times. Too much brand identity to change it. As for specifics we know that Wizards has acknowledged it is specifically the fifth edition of the game on their official website: dndclassics.com.
The site you link to is officially licensed but not the official site and not run by WotC. And it lists the edition as "Next" as well.
So, no, we don't know the name and if they're going to call it Next or 5e or 40th Anniversary Edition or Basic D&D 7th edition.