Smith surpassed his season-high of 13 points with 14 in the first half as the Golden Hurricane (9-5, 2-0 American Athletic Conference) opened a 37-28 lead on their way to their fourth straight win.
Woodard had 14 points and Harrison 13 in the second half as Tulsa remained in control. The Golden Hurricane shot 49 percent despite missing all 10 3-point attempts and were 26 of 36 from the foul line, 17 of 24 in the second half. Smith grabbed nine rebounds as Tulsa owned the boards 41-26.
Harrison had a streak of five-straight 20-point games end.