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考虑到可压缩和热传导效应的壁面函数边界条件,被耦合到了采用k-ω两方程湍流模型、用有限体积法求解N-S方程的程序中。壁面函数基于耦合的速度和温度型,并且在边界层内的粘性子区和对数区内一致有效。引入壁面函数边界条件后,通过算例验证在y+<100的范围内,得到的物面压力、摩阻、热流与实验结果比较,结果可靠。而无壁面函数边界条件时,要得到相同精度的结果,要求y+≈1。壁面函数的引入,为工程上准确预测飞行器在湍流流动中表面受力与气动热提供了保障。
The wall function boundary conditions, which take account of the compressibility and heat conduction effects, are coupled to a turbulence model using the k-ω two equations to solve the N-S equation using the finite volume method. The wall function is based on the coupled velocity and temperature type and is consistently valid within the viscous and logarithmic zones within the boundary layer. After introducing the boundary condition of the wall function, the numerical results verify that the surface pressure, frictional resistance and heat flux obtained in the range of y + <100 are validated by comparison with the experimental results and the results are reliable. Without wall function boundary conditions, to get the same precision results, require y + ≈1. The introduction of the wall function provides a guarantee for engineering to accurately predict the surface force and aerodynamic heat in the turbulent flow.