A mathematical model for the scaling of turbulence

DOI10.1073/pnas.0406291101zbMath1063.76043OpenAlexW2030476366WikidataQ37590062 ScholiaQ37590062MaRDI QIDQ5460854

Grigory Isaakovich Barenblatt, Alexandre Joel Chorin

Publication date: 19 July 2005

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.0406291101

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Turbulent boundary layers (76F40) Renormalization and other field-theoretical methods for turbulence (76F30)

Related Items (5)

Viscosity-dependent inertial spectra of the Burgers and Korteweg–deVries–Burgers equations ⋮ Quantifying wall turbulence via a symmetry approach. Part 2. Reynolds stresses ⋮ On the existence and scaling of structure functions in turbulence according to the data ⋮ Quantifying wall turbulence via a symmetry approach: a Lie group theory ⋮ A fractional PDE model for turbulent velocity fields near solid walls

Cites Work

• Comment on the paper ``On the scaling of three-dimensional homogeneous and isotropic turbulence by Benzi et al
• Vortex dynamics and the production of Reynolds stress
• New Perspectives in Turbulence: Scaling Laws, Asymptotics, and Intermittency
• Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers
• Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis
• Scaling laws for fully developed turbulent shear flows. Part 2. Processing of experimental data
• Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow.
• Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence
• Scaling of the intermediate region in wall-bounded turbulence: The power law

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