叶轮机械三维粘性动静叶干涉的数值模拟

本文发展了 1套模拟叶轮机械三维粘性动静叶干涉的数值方法。在成熟的空间离散方法基础上 ,提出了 1种高效的双时间步隐式时间推进方法 ,并构造了一种保证守恒的动静叶交界面处的数值通量计算方法。本文对某三维亚音速涡轮的动静叶干涉进行了数值模拟 ,结果与实验符合较好。

Numerical Methods for Three-Dimensional Viscous Rotor/Stator Interactions in Turbomachinery

A numerical method is developed for the simulation of three dimensional viscous rotor stator interactions in turbomachinery.The governing equations are three dimensional unsteady Navier Stokes equations in absolute frame of reference with velocity components relative to blade fixed rotating coordinates.The simple Baldwin Lomax two layer algebraic model is adopted to account for the turbulence effects.Central type finite volume method with anisotropic artificial viscosity is used for the spatial discretization of the governing equations.An efficient implicit time marching scheme is proposed in terms of dual time stepping technique.This time marching scheme is in similar form to Runge Kutta method with residual smoothing but it does not need any free parameter and runs faster than traditional four stage Runge Kutta scheme.At the interfaces of rotor grids and stator grids,a conservative method is developed for the evaluation of numerical flux.The proposed method has been applied to simulating the three dimensional viscous rotor/stator interactions in a subsonic turbine stage under different rotational speed and rotor/stator distance.The numerical results agree favorably with the experimental data.