王伟, 张扬, 陈利丽. 带有剪切应力输运性质的k-ε两方程湍流模型构造与应用[J]. 空气动力学学报, 2019, 37(3): 419-425. DOI: 10.7638/kqdlxxb-2016.0158
引用本文: 王伟, 张扬, 陈利丽. 带有剪切应力输运性质的k-ε两方程湍流模型构造与应用[J]. 空气动力学学报, 2019, 37(3): 419-425. DOI: 10.7638/kqdlxxb-2016.0158
WANG Wei, ZHANG Yang, CHEN Lili. An application of the shear stress transport low-Reynolds-number k-ε turbulence model on turbulent flows[J]. ACTA AERODYNAMICA SINICA, 2019, 37(3): 419-425. DOI: 10.7638/kqdlxxb-2016.0158
Citation: WANG Wei, ZHANG Yang, CHEN Lili. An application of the shear stress transport low-Reynolds-number k-ε turbulence model on turbulent flows[J]. ACTA AERODYNAMICA SINICA, 2019, 37(3): 419-425. DOI: 10.7638/kqdlxxb-2016.0158

带有剪切应力输运性质的k-ε两方程湍流模型构造与应用

An application of the shear stress transport low-Reynolds-number k-ε turbulence model on turbulent flows

  • 摘要: 由于传统的壁面衰减函数峰值并不考虑雷诺数的变化,因此仅能在特定的雷诺数下还原边界层的近壁衰减效应。为了改善这个缺陷,一个结合不同湍流雷诺数的因子被引入壁面衰减函数,从而使其峰值对雷诺数的变化能够合理感知。另外,基于DNS数据,将Bradshaw假设中的常数进行了重新标定,引入平滑的湍涡黏性系数切换函数,最终形成了一个带有剪切应力输运性质的k-ε两方程湍流模型。通过平板、翼型、二维鼓包以及翼身组合体进行了校验,结果显示新模型的精度较高,具有一定的工程实用价值。

     

    Abstract: The wall damping effect only can be recovered at the specific Reynolds number in traditional turbulence model due to the lack of considering the Reynolds effect. In order to overcome this drawback, a factor containing different turbulent Reynolds numbers is introduced into the wall damping function. In addition, the Bradshaw assumption is recalibrated by the DNS-data set, and then a smooth changing function is built to blended the two turbulent eddy viscosity coefficients. The two-equation turbulence model based on the recalibrated Bradshaw assumption can be converted to a shear-stress transport model. The new model is validated by a fully-developed turbulent flat plate, an airfoil with separated bubble, a two-dimension bump, and a wing-body with shock/wave boundary interaction, and the results are in good agreement with the experimental data.

     

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