Abstract: As the first step to construct a hybrid scheme which can simulate continuum flow and rarefied flow simultaneously, the ability of the gaskinetic BGK-NS scheme in simulating complex flows was tested in this paper based on our previous work. Two benchmark cases were investigated, including the lateral jet on a reentry vehicle in hypersonic freestream at high angle of attack and the supersonic flow around a gridfinned missile. Good agreement was obtained between our results and the experimental and other simulating results in the literature, indicating that the BGK-NS scheme has accuracy and ability to simulate various complex flows, which provides a good basis for our future work on constructing a hybrid algorithm.