Comparative study on three Fourier-based time-domain unsteady computation methods

including the shape-correction phase shift method

space-time gradient method and harmonic balance method

was carried out by simulation of two typical kinds of rotor-stator interactions

i.e.:wake-blade interactions and shock-blade interactions. Differences and relations between these computation methods were investigated in detail

and their computational accuracy and speed were also analyzed. The results indicate that three methods can resolve the unsteady flow details well. Compared with the conventional time-marching method

the computational speed of these methods can be enhanced from several to dozens of times

making these methods applicable to daily design process.