NUMERICAL SIMULATION OF THE BLADE CASCADE FLOWS USING UPWIND METHODS

Abstract

In this paper a mathematical formulation of the equations of the fluid motion in turbomachinery cascades has been presented. Some review of the calculation methods for solving these equations is given. These methods are based on an explicit time marching scheme with finite volume discretisation and upwind-biased technique for the inviscid fluxes calculations. The high order accuracy in space is realized by the MUSCL approximation. The discretisations methods and numerical grids are described. The calculations of viscous and inviscid flow models are performed. The model and results of the water steam flow analysis with homogeneous condensation are presented. The calculations are performed for complex problems of real blade configurations of turbomachinery.