Journal article

Hierarchical random additive model for the spanwise and wall-normal velocities in wall-bounded flows at high Reynolds numbers

XIA Yang, R Baidya, Yu Lv, I Marusic

Physical Review Fluids | American Physical Society | Published : 2018

Abstract

At high Reynolds numbers, the logarithmic range in wall-bounded flows spans many scales. An important conceptual modeling framework of the logarithmic range is Townsend's attached eddy hypothesis [The Structure of Turbulent Shear Flow (Cambridge University Press, Cambridge, 1976)], where high Reynolds number wall-bounded flows are modeled as assemblies of space-filling, self-similar, and wall-attached eddies. Recently, Yang et al. [Phys. Rev. Fluids 1, 024402 (2016)] reinterpreted this hypothesis and developed the “hierarchical random additive process” model (HRAP), which provides further insights into the scaling implications of the attached eddies. For example, in a recent study [Yang et a..

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University of Melbourne Researchers

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Funding Acknowledgements

X.Y. thanks C. Meneveau and P. Johnson for fruitful discussion. I.M. and R.B. acknowledge the financial support of the Australian Research Council.