Melashych S. Aerodynamic optimization of the compressor cascades' profiles by the numerical simulation of turbulent flows

The objects are gasdynamic processes, which take place in flows in compressors cascades. The aim is the development of a complex of efficient techniques for the aerodynamic optimization of the compressor cascades profiles problems solution on a basis of turbulent flows numerical simulation. The methods are mathematical modeling, gasdynamics, mathematical physics equations, analytical geometry, numerical schemes theory, conformal mapping theory, mathematical analysis. In present work the actual problem of compressor cascades profiles aerodynamic optimization is solved on a basis of complex approach with the use of different level gas-flow models. The problem is consists of next stages: determination of the initial geometric parameters of the cascade by the inverse design problem solution on the basis of conformal mapping method with the use of Chaplygin's gas-flow model; preliminary correction of cascades parameters in order to minimize or avoid flow separation on cascade profile on the basis of integral parameters of turbulent boundary layer calculation; prior estimation of aerodynamic characteristics of designed cascade and posterior aerodynamic optimization of one's geometric parameters on the basis of numerical integration of averaged Navier-Stokes set of equations, which is closed by the one-equation turbulence model. The effectiveness of proposed approach is shown under its application to the compressors cascades aerodynamic optimization. Application field is in the design of compressors and turbines blade rings of aviation gas turbine engines and other energy plants.