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Fluids, 20, S 243–252, 1977. , Coherent motions in the outer region of turbulent boundary layer, Phys. Fluids, 20, S 124–132, 1977. R. , New aspects of turbulent boundary-layer structure, J. , 107, pp. 297–338, 1981. J. , On transition in a pipe. Part I. The origin of puffs and slugs and the flow in a turbulent slug, J. , 59, pp. 281–335, 1973. , The structure of turbulent shear flow, Cambridge Univ. , 1976. , Henbest, S. , A theoretical and experimental study of wall turbulence, J. , 165, pp. 163–199, 1986.

Press, 1999. , Nonlinear perturbation of the vortex shedding from a circular cylinder, J. , 222, pp. 267–291, 1991. , Pancaldo, L. , A spectral-finite difference solution of the Navier-Stokes equations in three dimensions, Int. J. Num. Meth. Fluids, 28, pp. 129–142, 1998. , Alfonsi, G. , Analysis of hybrid algorithms for the Navier-Stokes equations with respect to hydrodynamic stability theory, Int. J. Num. Meth. Fluids, 38, pp. 1069–1089, 2002. , Analytical methods for the development of Reynolds-stress closures in turbulence, Ann.

An appropriate category to be used for a better scientific understanding of turbulent flows for the aforementioned objectives is that of – three-dimensional in space and evolving in time – coherent structures, where the idea of structures’ coherency has to be associated to a formally-expressed definition to be implemented within a procedure of eduction of mathematical nature. In the following subsection the method of the Proper Orthogonal Decomposition for the eduction of the coherent motions in a turbulent flow, is presented.

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