Abstract
This chapter reviews the numerical study of near-wall turbulence, with particular attention to the coherent structures typical of turbulent boundary layers and their evolution. The LBE (The Lattice Boltzmann equation) scheme is also inherently single instruction–multiple data because all particles move synchronously in lockstep mode, so each processor has to make the same operations on a different set of data. As expected, the best performance is obtained with the largest data set—the set featuring the highest computation to communication ratio. A code is used to investigate the parameter regime under which the minimal coherent structures needed to sustain fully developed turbulence can be generated. The method has been applied to turbulent channel flow and some of the preliminary results analyzed. Hence, to study near-wall vorticity structures, for which a high resolution on the y direction is required, a 3D scheme is under development for nonhomogeneous lattice, following some of the indications already adopted for 2D simulations. The importance of these 3D vortices in turbulent boundary layer show how direct numerical simulation and flow visualization can help in studying problems such as turbulence and transition to turbulence.
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