Arwen died of a broken heart soon after Aragorn's death (in Lothlorien, Elrond having sailed West soon after the end of the war, knowing his daughter was lost to him forever, just like his brother centuries past).

Died died, human-like, no Halls of Mandos for her.

Being Elrond's daughter, and thus a direct descendant of both Eärendil and Beren and Lúthien Tinúviel, she could choose the fate of elves or men, and did so when she married Aragorn.