Gryzun M. Mathematical modeling of the three-dimensional gas flows based on explicit and iterative implicit difference schemes

The object of the research is the gas flows process for isolated profiles and turbomachinery cascades. The purpose of the research is the efficiency increase of mathematical modeling of gas flows in turbines and compressors cascades and in isolated profiles, using fast iterative implicit and explicit difference high-resolution schemes. The methods of mathematical modeling, computational gas-fluid-dynamics, difference schemes theory, structured programming, technical gas-fluid-dynamics are used. The implicit difference scheme based on Newton's iterative method and approximations TVD and ENO type for modeling gas flows for isolated profile and turbomachinery cascade is developed, which allowed to reduce computational time in comparing with alternating directions scheme. The novelty consists in the improvement of the computational method of mathematical modeling three-dimensional inviscid and viscous flows for isolated profiles and turbomachinery cascades. The results are used at the "SE Ivchenko-Progress" and at IPMach NASU. Application branch is aviation and turbomachinery .