Transonic Planar Cascade Turbulent Flow Field Study Of Numerical Methods

A numerical method, where the pressure is used as a primary dependent variable, is presented for the solution of the two-dimensional steady Navier-Stokes equation in general curvilinear coordinates. SIMPLE (Semi-Implicit Method for Pressure Linked Equations) is mainly adopted. A computational procedure has been established for computing turbulent flow of cascade.The procedure is based on the fully conservative, structured finite volume framework, within which the grids are non-staggered and collocated such that all flow variables are stored at the same set of nodes. Cartesian coordinate velocity is taken as the primary variable to simplify the discretization equation.To suppress the pressure oscillations while using non-staggered grid arrangement, the pressure-weighted interpolation method, proposed by Rhie and Chow, is conducted.The standard k-s model is utilized to describe the turbulent flow process;the wall function method is adopted for dealing with the boundary condition at the standing wall.To improve computational precision, the high resolution scheme QUICK, CUI and MUSCL scheme with TVD characteristic are employed to discretize the convective transport terms. All of these schemes are implemented by an additional source based on the first-order upstream scheme.The procedure is used to calculate the incompressible and compressible turbulent flow of cascade. The agreement between the calculated numerical results and experimental data or other numerical results available in literature is good.