李钊, 陈海昕, 张宇飞. 基于k-kL两方程湍流模式的尺度自适应模拟[J]. 工程力学, 2016, 33(12): 21-30. DOI: 10.6052/j.issn.1000-4750.2015.05.0385
引用本文: 李钊, 陈海昕, 张宇飞. 基于k-kL两方程湍流模式的尺度自适应模拟[J]. 工程力学, 2016, 33(12): 21-30. DOI: 10.6052/j.issn.1000-4750.2015.05.0385
LI Zhao, CHEN Hai-xin, ZHANG Yu-fei. SCALE ADAPTIVE SIMULATION BASED ON A K-KL TWO-EQUATION TURBULENCE MODEL[J]. Engineering Mechanics, 2016, 33(12): 21-30. DOI: 10.6052/j.issn.1000-4750.2015.05.0385
Citation: LI Zhao, CHEN Hai-xin, ZHANG Yu-fei. SCALE ADAPTIVE SIMULATION BASED ON A K-KL TWO-EQUATION TURBULENCE MODEL[J]. Engineering Mechanics, 2016, 33(12): 21-30. DOI: 10.6052/j.issn.1000-4750.2015.05.0385

基于k-kL两方程湍流模式的尺度自适应模拟

SCALE ADAPTIVE SIMULATION BASED ON A K-KL TWO-EQUATION TURBULENCE MODEL

  • 摘要: k-kL两方程模式是一种对湍动能积分尺度输运方程模化的新型湍流模式,具有尺度自适应模拟的特性,能够在统一的表达形式下对流动进行定常和非定常数值模拟。引入可实现性修正,在二维零压力梯度平板边界层中验证其影响,进而选择典型流动的标准算例对这一模式进行较为全面的评估。通过三维CRM翼身组合体绕流算例验证了该模式应用于工程问题的实用性,并考察了网格密度对计算精度的影响。在周期山的三维非定常计算中,k-kL模式能够较好分辨流场中丰富的涡结构,准确捕捉流动大规模分离区的位置和形状,统计平均的表面摩擦力分布和速度场与实验和大涡模拟结果符合良好。上述计算展示了k-kL两方程模式在定常和非定常计算中的流动预测能力和工程应用潜力。

     

    Abstract: The two-equation k-kL turbulence model is based on the transportation equations of turbulent kinetic energy and the integral scale. It is characterized by the capacity of the scale-adaptive simulation, and thus the satisfactory prediction performance in both steady and unsteady flow simulations under a unified form. The present study aims at a comprehensive assessment of this model through classical flow test cases. A two-dimensional zero-pressure-gradient boundary layer case is used to validate the currently introduced realizable correction of this model. Steady computations of the three-dimensional CRM wing/body show its engineering applicability compared with the SA model and the SST model. A grid convergence study is included. In the unsteady computations with the k-kL model, massive separation flows over the periodic hills are well predicted with rich vortical structures. The time-averaged friction distribution and the velocity field are in good agreement with the experimental data and the previous Large Eddy Simulation results. All above demonstrates the advantage and potential of this turbulence model in both steady and unsteady flow simulations.

     

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