Body-force modeling considering induced upstream effects for a transonic compressor with total temperature distortion

To numerically study the impact of total temperature distortion on a transonic compressor with reduced computational costs, a Body-Force Model (BFM) is developed. Firstly, the interactions between the distorted flow and the compressor are analyzed using full-annulus Unsteady Reynolds-Averaged Navier-Stokes (URANS) results and the orbit method. It is found that the induced swirl distortion and the mass flux nonuniformity are intensified in the compressor upstream flow field. A correction factor is thus added to the BFM to account for the effect of the induced swirl, which is crucial for the accurate representation of distortion transfer in the intake. Then, steady simulations with large-amplitude 180° circumferential total temperature distortion are performed using the developed BFM. It is shown that the distorted compressor map simulated with the BFM matches well with URANS results. The circumferential phase shift of total temperature and the generation of the additional total pressure distortion across the rotor are in line with the time-averaged URANS flow field. The compressor upstream effects on the distorted inflow can also be exactly captured. All above-mentioned results demonstrate the BFM developed in this paper can effectively capture the distorted flow features inside the compressor, and significantly reduce the computational costs by five orders of magnitude compared with URANS.