Multi-layer analytic solution for \(k\)-\(\omega\) model equations via a symmetry approach

DOI10.1007/S10483-023-2957-7zbMath1518.76028MaRDI QIDQ6132254

Zhen-Su She, Fan Tang, Wei-Tao Bi

Publication date: 14 July 2023

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

turbulent pipe flowstructural ensemble dynamicsgeneralized dilation invariance principleWilcox \(k\)-\(\omega\) model

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) (k)-(varepsilon) modeling in turbulence (76F60) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Cites Work

• Unnamed Item
• A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow
• Mean-flow scaling of turbulent pipe flow
• Prediction of compressible turbulent boundary layer via a symmetry-based length model
• Quantifying wall turbulence via a symmetry approach. Part 2. Reynolds stresses
• Quantifying wall turbulence via a symmetry approach: a Lie group theory
• A model for inhomogeneous turbulent flow

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