Performance evaluation of flow in turbomachinery blade rows

The numerical solution of the complete Navier-Stokes equations for two dimensional nonsteady flow has only been accomplished in the last decade. Most of the computations have been for external flows. However, in the past few years this capability has been extended to internal flows for relatively simple configurations. Both implicit and explicit approaches have been used in developing methods for computing internal flows. These methods are discussed briefly with emphasis on MacCormack's explicit finite difference algorithm. The capabilities and limitations of these approaches are discussed. In particular, attention is focused on grid generation, formulation of boundary conditions for internal flows, and constraints imposed by limited computer storage and speed. Results for axisymmetric and 3-D flows are presented. In addition, developments currently in progress are noted. Finally, future developments of this capability are addressed, along with their impact on the development of advanced propulsion systems.