Flux-splitting finite volume method for turbine flow and heat transfer analysis

A novel numerical method was developed to deal with the flow and heat trans fer in a turbine cascade at both design and off-design conditions. The Navi er-Stokes equations are discretized and integrated in a coupled manner. In the present method a time-marching scheme was employed along with the time- integration approach. The flux terms are discretized based on a cell finite volume formulation as well as a flux-difference splitting. The flux-differ ence splitting makes the scheme rapid convergence and the finite volume tec hnique ensure the governing equations for the conservation of mass, momentu m and energy. A hybrid difference scheme for quasi-three-dimensional proced ure based on the discretized and integrated Navier-Stokes equations was inc orporated in the code. The numerical method possesses the positive features of the explicit and implicit algorithms which provide a rapid convergence process and have a less stability constraint. The computed results were com pared with other numerical studies and experimental data. The comparisons s howed fairly good agreement with experiments.