管道凸起激波/湍流边界层干扰的数值模拟

Numerical Simulation to Shock Wave/Boundary-Layer Interactions in Bump Channels

采用基于部分平均的湍流方程组,模拟了管道凸起流动中两种不同强度的激波-湍流边界层干扰现象,对流场的时均参数与实验值进行了比较,计算得到的壁面压力分布、摩阻系数分布、边界层厚度和速度型与实验值比较吻合很好。结果表明基于部分平均的湍流方程组既能够准确模拟小分离的激波/湍流边界层干扰流动又能够准确模拟大分离的激波/湍流边界层干扰流动,较好地预测了典型的λ激波结构。

Cosidering the partical-statistical-average scheme and the concept of orthotropic eddy-viscosity, a noved turbulence model called Partical-average-based turbulence model is developed where the first-order information of the motion of fluctuation is successfully retained, and the eddy viscosity is a tensor instead of a scalar. Now, the Partial-average-based turbulence equations are applied to simulate numerically the shock wave/turbulent boundary layer interactions, which occur in two different two-dimensional transonic bump channels. The computational results of the time-averaged parameters, such as the velocity along the x-coordinate, pressure along the wall surface and skin-friction coefficient along the wall are compared with the experimental results. The computational density contours of large separation case clearly represent the lambda shock as consistent with the experimental measurement, and when the partial-average-based turbulence equations are applied to the shock wave/turbulent boundary layer interacting cases, the basic features of shock flows with both small separation and massive separation can be well simulated.