The pilot was landing the Pilatus PC-12 on runway 32, a 2,900-foot-long, 50-foot-wide, asphalt runway, at an airport located in a mountainous area. The pilot reported experiencing updrafts and downdrafts while on final approach. After touchdown, the right wing lifted up, and the airplane became airborne again. The pilot flew back toward the center of the runway and touched down again; however, a gust of wind caused the airplane to veer to the left. The airplane's left wing was substantially damaged when it struck an embankment off the left side of the runway. The airplane subsequently came to rest on the embankment, approximately 150 feet prior to the end of the runway. The pilot reported that he did not experience any mechanical malfunctions of the airplane. He reported 3,790 hours of total flight experience, which included 1,040 hours accumulated in the same make and model as the accident airplane. Winds reported at an airport located about 39 miles northeast of the accident site, about the time of the accident, were from 300 degrees at 18 knots, gusting to 26 knots.