摘要：The governing equations are derived by circumferentially averaging the three-dimensional(3D) Navier-Stokes equations,which are solved using a time marching finite volume *** Euler throughflow model and Navier-Stokes(N-S) throughflow model are employed to investigate the performance and flow fields of a highly loaded transonic single-stage fan ATS-2 and a four-stage *** results are compared with the experimental and three-dimensional computational *** shows that the throughflow models can provide reasonable performance characteristics and N-S throughflow model gives better predictions in endwall regions.A throughflow computation n in which all the non-axisymmetric terms are included has been performed at off-design condition and the radial distributions of the flow field can be well described.