Attached eddy model revisited using a minimal quasi-linear approximation

• Published in: Journal of fluid mechanics Vol. 894
• Main Authors: Hwang, Yongyun, Eckhardt, Bruno
• Format: Journal Article
• Language: English
• Published: Cambridge Cambridge University Press 10.07.2020
• Subjects: Approximation; Boundary layers; Channel flow; Computational fluid dynamics; Computer simulation; Decomposition; Direct numerical simulation; Domain names; Domain walls; Eddies; Eddy diffusion; Energy spectra; Fluctuations; Fluid flow; Hypotheses; Mathematical models; Navier-Stokes equations; Nonlinear equations; Optimization; Proper Orthogonal Decomposition; Qualitative analysis; Reynolds number; Reynolds stress; Scaling; Shear; Shear stress; Theory; Turbulence; Turbulence intensity; Turbulent diffusion; Velocity; Velocity distribution; Viscosity; Vortices; Wavelengths

Townsend’s model of attached eddies for boundary layers is revisited within a quasi-linear approximation. The velocity field is decomposed into a mean profile and fluctuations. While the mean is obtained from the nonlinear equations, the fluctuations are modelled by replacing the nonlinear self-inte...