使用GAO-YONG方程组对不可压转捩/湍流平板边界层的计算

与以往的湍流模型不同的是GAO-YONG不可压湍流控制方程组不需要任何经验系数及壁面函数。本文运用SIMPLE方法QUICK格式求解GAO-YONG方程组,对二维零压力梯度下平板转捩/湍流边界层进行了数值模拟。结果表明,方程不仅对于边界层流动的各项细节(如表面摩擦系数Cf,对数律,亏损律等)能作出良好的预测,成功地解决了以往一般模型不能同时计算近壁区和远壁区的难题,而且能够预报层流-湍流转捩过程。本文还对机械能方程如何影响边界层近壁区特性进行了数值研究。

The Calculation of Incompressible Wall Boundary Layer Using GAO-YONG Turbulence Equations

Unlike widely used turbulence models,the GAO YONG equations use no empirical coefficients or wall functions.In this paper,two dimensional,stationary,and incompressible transitional/turbulent boundary layer with zero pressure gradient is numerically simulated with GAO YONG turbulence model.Employing staggered grid arrangement,an incompressible SIMPLE code with a second order QUICK scheme is used.The calculation successfully simulates the flow and predicts the fundamental properties of the boundary layer such as C_f,the log law,and the defect law,etc,which are close to the experimental data.All the results further verify the adaptability of the equations to real turbulent flow.