论文标题

附着模型与内部交互模型之间的一致性:对湍流通道流动流的壁壳应力波动的研究

Consistency between the attached-eddy model and the inner-outer interaction model: a study of streamwise wall-shear stress fluctuations in a turbulent channel flow

论文作者

Cheng, Cheng, Fu, Lin

论文摘要

The inner-outer interaction model (Marusic, Mathis & Hutchins, Science, vol. 329, 2010, 193-196) and the attached-eddy model (Townsend, Cambridge University Press, 1976) are two fundamental models describing the multi-scale turbulence interactions and the organization of energy-containing motions in the logarithmic region of high-Reynolds number wall-bounded turbulence, respectively.在本文中,描绘了通过将添加剂描述与附件模型耦合,刻画了由壁式涡流产生的流式壁剪切波动的生成过程。然后,通过诉诸于内部的相互作用模型,分离了由湍流通道流中附着的涡流产生的流向壁剪应力波动。这两个模型的统计数据之间的直接比较表明它们是一致和相互补充的。同时,我们进一步表明,附着的涡流的叠加严格遵循了添加过程,严格验证了强大和扩展的自我相似性的有效性。此外,我们提出了一个高斯模型,以表征由附着的层叠加产生的流向壁剪应力的瞬时分布。这些发现对于开发先进的还原墙模型很重要。

The inner-outer interaction model (Marusic, Mathis & Hutchins, Science, vol. 329, 2010, 193-196) and the attached-eddy model (Townsend, Cambridge University Press, 1976) are two fundamental models describing the multi-scale turbulence interactions and the organization of energy-containing motions in the logarithmic region of high-Reynolds number wall-bounded turbulence, respectively. In this paper, by coupling the additive description with the attached-eddy model, the generation process of streamwise wall-shear fluctuations, resulting from wall-attached eddies, is portrayed. Then, by resorting to the inner-outer interaction model, the streamwise wall-shear stress fluctuations generated by attached eddies in a turbulent channel flow are isolated. Direct comparison between the statistics from these two models demonstrates that they are consistent to and complement each other. Meanwhile, we further show that the superpositions of attached eddies follow an additive process strictly by verifying the validity of the strong and extended self similarity. Moreover, we propose a Gaussian model to characterize the instantaneous distribution of streamwise wall-shear stress, resulting from the attached-eddy superpositions. These findings are important for developing an advanced reduced-order wall model.

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