Although turbomachinery flows are intrinsically unsteady, engineers still widely use steady approaches, coupled with the mixing plane technique for multistage applications, to design new machines. Within most of the stable range, the flows are periodic in time. Such flows require long simulations when using classical time-marching unsteady techniques as a transient regime must be by-passed and thus they cannot be used as an every day tool in industry. New techniques, dedicated to time-periodic flows and based on Fourier analysis, have been developed recently. Among these, the Time Spectral Method casts a time-periodic flow computation in several coupled steady computations, corresponding to a uniform sampling of the period. These steady computations are then efficiently pseudo-time marched using convergence acceleration techniques such as local time stepping and multigrid.
In the present paper, the Time Spectral Method is applied to a subsonic single-stage compressor close to the operating point. The accuracy of the method is first tested and compared to a reference time-marching simulation. Then, its ability to correctly capture discrete-frequencies of the flow is investigated
