Abstract: The finite analytic method is used in the present study to calculate the turbulent flow field described with Navier-Stokes equations in body-fitted curvilinear coordinate system. The finite analytic method invokes the analytic solution of governing partial differential equation in formulating the algebraic equation that relates a nodal value in an element to its neighbouring nodal values. The major feature of the finite analytic method is its ability to simulate automatically the upwind influence of neighbouring nodal values according to the direction and the magnitude of convection. It is shown that the finite analytic method has good numerical stability and accuracy. The turbulent flow fields through a single cascade of airfoil and a tandem cascade of airfoil are numerically simulated by using finite analytic method respectively in the paper. The k-e turbulence model and wall function method are employed in the present study. The agreement of numerical solution compared with experimental result is quite good.

Key words: numerical calculation, turbulent flow, cascade, Navier-Stokes equation, finite analytic method