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Turbulent channel flow in weighted Sobolev spaces using the anisotropic Lagrangian averaged Navier-Stokes (LANS-$\alpha$) equations
Modelling the mean characteristics of turbulent channel flow has been oneof the longstanding problems in fluid dynamics. While a great number ofmathematical models have been proposed for isotropic turbulence, there arerelatively few, if any, turbulence models in the anisotropic wall-boundedregime which hold throughout the entire channel. Recently, theanisotropic Lagrangian averaged …