COMPUTATION OF UNSTEADY TRANSONIC CASCADE FLOW USING THE EULER AND NAVIER-STOKES EQUATIONS OF CONTRAVARIANT VELOCITIES

The purpose of the present paper is to investigate the steady and unst eady flows through subsonic and transonic turbine cascades using the E uler and Navier-Stokes (N-S) solvers developed by the authors. Use of the fundamental equations of contravariant velocity components also pr oposed by the authors is very convenient for treating several kinds of boundary conditions. Some efficient numerical schemes for the unstead y calculation, shock capturing and turbulent quantities are also devel oped. As numerical examples, we show the numerical results of some tur bine cascade flows by assuming the flows to be inviscid or viscous (tu rbulent) and steady or unsteady. The results are compared with each ot her and with the experimental data. Finally, the reliability and the l imitation of the present numerical solvers for the turbine cascade cas es are discussed.