Two-dimensional Turbulent Flow Field Numerical Simulation Method

To improve numerical computation technique for internal flow of cascade and make preparations to simulate the complex flow of turbomachinery, several important problems are investigated in this paper.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 developed for computing 2-dimension turbulent flow.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. For suppressing the pressure oscillations while using non-staggered grid arrangement, the momentum interpolation method, proposed by Rhie and Chow, is conducted.The realizable k - ε model which has wider applicability is utilized to describe the turbulent flow process, the wall function method is adopted for dealing with the boundary condition at the standing wall.Considering the 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.Based on the above research, a numerical simulation system is developed to calculate the incompressible and compressible turbulent flow of cascade and other typical calculational examples. The agreement between the calculated numerical results and experimental data or other numerical results available in literature is good.