单列叶栅紊流流场有限分析数值研究

FINITE ANALYTIC SOLUTION OF TURBULENT FLOW FIELD THROUGH CASCADE OF AIRFOIL

本文将有限分析方法用于曲线座标系上紊流 N- S方程数值计算 ,研究了高雷诺数时叶栅粘性紊流流场。有限分析方法在网格单元上对非线性偏微分程进行线化处理 ,在解析边界条件下求出线化偏微分方程的解析解 ,以此解构造离散方程。有限分析方法能够根据对流的方向和大小自动改变格式系数 ,并具有数值扩散小、精度高和稳定性好等优点。本文以 k- ε紊流模型模化紊流 ,以壁面函数方法处理近壁区流动参数。

The finite analytic method is used in the present study to calculate the turbulent flow field described with Navier-Stokes equations in body-fitted curvilinear coordinate system.The finite analytic method invokes the analytic solution of governing partial differential equations in formulating the algebraic equations that relates a nodal value in an element to its neighbouring nodal values.The major feature of the finite analytic method is its ability to simulate automatically the upwind influence of neighbouring nodal values according to direction and magnitude of convection.It is shown that the finite analytic method has good numerical stability and accuracy.The turbulent flow fields through a two-dimensional channel and a cascade of airfoil are numerically simulated by using finite analytic method in the present study.The k-ε turbulence model and wall function method are also employed.The agreement of numerical solution with experimental data is quite good.