Quantifying wall turbulence via a symmetry approach: a Lie group theory
From MaRDI portal
Publication:4972311
DOI10.1017/jfm.2017.464zbMath1460.76491arXiv1112.6312OpenAlexW2963179651WikidataQ115337146 ScholiaQ115337146MaRDI QIDQ4972311
Xi Chen, Fazle Hussain, Zhen-Su She
Publication date: 25 November 2019
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.6312
Turbulent boundary layers (76F40) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Foundations of fluid mechanics (76A02)
Related Items (11)
Prediction of compressible turbulent boundary layer via a symmetry-based length model ⋮ Lie symmetry analysis of boundary layer stagnation-point flow and heat transfer of non-Newtonian power-law fluids over a nonlinearly shrinking/stretching sheet with thermal radiation ⋮ Quantifying wall turbulence via a symmetry approach. Part 2. Reynolds stresses ⋮ Reynolds number asymptotics of wall-turbulence fluctuations ⋮ Multi-layer analytic solution for \(k\)-\(\omega\) model equations via a symmetry approach ⋮ Velocity and temperature scalings leading to compressible laws of the wall ⋮ Non-universal scaling transition of momentum cascade in wall turbulence ⋮ Reynolds number scaling of the peak turbulence intensity in wall flows ⋮ A universal velocity profile for smooth wall pipe flow ⋮ Boundary layer structure in turbulent Rayleigh-Bénard convection in a slim box ⋮ Properties of turbulent channel flow similarity solutions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Universal hierarchical symmetry for turbulence and general multi-scale fluctuation systems
- New perspective in statistical modeling of wall-bounded turbulence
- More is the same; phase transitions and mean field theories
- Turbulent boundary layers over flat plates and rotating disks -- the legacy of von Kármán: a Stockholm perspective
- New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws
- A unified approach for symmetries in plane parallel turbulent shear flows
- Mean profiles for a passive scalar in wall-bounded flows from symmetry analysis
- Turbulence spectra in smooth- and rough-wall pipe flow at extreme Reynolds numbers
- A Voyage Through Turbulence
- The law of the wake in the turbulent boundary layer
- A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow
- Equilibrium and travelling-wave solutions of plane Couette flow
- Wall-bounded turbulent flows at high Reynolds numbers: Recent advances and key issues
- Symmetries of the turbulent state
- On the mechanism of wall turbulence
- A theoretical and experimental study of wall turbulence
- Mean-flow scaling of turbulent pipe flow
- Coherent structure generation in near-wall turbulence
- Über die Entstehung der Turbulenz
- Turbulent Flows
- Inner scaling for wall-bounded flows subject to large pressure gradients
- Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows
- Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis
- Evaluation of scaling laws derived from Lie group symmetry methods in zero-pressure-gradient turbulent boundary layers
- Further observations on the mean velocity distribution in fully developed pipe flow
- New scaling laws for turbulent Poiseuille flow with wall transpiration
- Composite asymptotic expansions and scaling wall turbulence
- Self-consistent high-Reynolds-number asymptotics for zero-pressure-gradient turbulent boundary layers
- Variations of von Kármán coefficient in canonical flows
- High–Reynolds Number Wall Turbulence
- On the logarithmic region in wall turbulence
- Self-similar mean dynamics in turbulent wall flows
- New conservation laws of helically symmetric, plane and rotationally symmetric viscous and inviscid flows
- A mathematical model for the scaling of turbulence
- Linear energy amplification in turbulent channels
- Symmetries and differential equations
This page was built for publication: Quantifying wall turbulence via a symmetry approach: a Lie group theory
