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基于von Karman长度尺度和新型Reynolds应力本构关系对k-ε湍流模型重构,将k方程封闭,采用代数形式对湍流耗散项进行模化.在KDO(kinetic dependent only)模型的基础上,引入可压缩von Karman长度尺度,得到一种适用于复杂可压缩流动的新型湍流模型CKDO(compressible kinetic dependent only),在CKDO模型中没有任何经验系数,仅有两个来自边界层精细化标定的可调参数.对RAE2822翼型、轴对称圆筒管道凸起流动、ONERA-M6机翼跨声速流动等算例进行数值计算,结果显示CKDO湍流模型对上述算例流场的压力系数模拟结果与实验值吻合较好,表明CKDO模型能够对跨声速流场进行较为准确的模拟.
Based on the von Karman length scale and the new Reynolds stress constitutive relationship, the k-ε turbulence model is reconstructed, the k-equation is closed, and the algebraic form is used to model the turbulent dissipation. On the basis of KDO (kinetic dependent only) model, The compressible kinetic dependent (CKDO) model CKDO (compressible kinetic dependent only) is obtained by introducing the compressible von Karman length scale. There is no empirical coefficient in the CKDO model, and only two models from the boundary layer refinement calibration The results show that the CKDO turbulence model simulates the pressure coefficient of the flow field in the above example and the experimental results show that the numerical simulation of the flow field of the RAE2822 airfoil, the axial symmetric cylindrical pipe and the ONERA- The values agree well, which shows that the CKDO model can simulate the transonic flow field more accurately.