On arbitrary inlet and wall boundary conditions in cascade flows for the Navier–Stokes solver

Abstract

The present unsteady three-dimensional compressible Navier–Stokes solver, using the pseudo-analytic functions with integral operators, can satisfy arbitrary boundary conditions at the inlet and along wall surfaces, simultaneously. The governing equations can deal with numerous parameters and variables appearing in complicated numerical experiments. In the solver three different kinds of computation surfaces, blade-to-blade, meridional and cross-sectional ones, those allow any deflections of their surfaces, were introduced. Thanks to the employed function theory the indirect method, which yields complete fitting of different kinds of boundary conditions, was incorporated in the present solution. An interchange of necessary informations between direct and indirect methods can be smoothly and sufficiently executed without any artificial technique. The code requires only moderate size of memory and CPU time consumption of standard type of computer systems and can obtain needful informations for the graphics. The additionally calculated results for a film-cooled flowfield proved the applicability of present method to flowfields with independently given boundary conditions. Stable numerical solutions were obtained for the flowfields.