The Blue Devils (2-2) surpassed their previous scoring average of 18.3 points per game with 21 in the first quarter, when Thompson rushed for both of his touchdowns. Duke's first-quarter scoring drives lasted 2:03, 51 seconds and 1:57.
Renfree completed 21 of 30 passes for 278 yards and a touchdown for the Blue Devils. His 7-yard scramble late in the third quarter gave Duke a 45-13 lead.
Duke outgained the Green Wave (2-2) 336 yards to 127 in the first half and 451-148 through three quarters. Before halftime, Renfree ran for a score and threw for 179 yards, and Conner Vernon had five catches for 93 yards. The Blue Devils didn't punt until midway through the fourth quarter.
Vernon finished with six catches for 96 yards and moved up to seventh on Duke's all-time receiving yards list and third on the receptions list.
The only touchdown until the fourth quarter for Tulane, which scored 49 points last week in a win over UAB, came on Ryan Travis' 23-yard interception return in the first quarter. That was one of the few mistakes by the Blue Devils.
By then, Duke's defense, which shut out Boston College in the second half of a 20-19 win last week, had put together a streak of five quarters without allowing a touchdown.