Numerical simulation of homogeneous turbulence submitted to two successive plane strains and to solid-body rotation

Numerical simulations for two particular constant mean velocity gradient flows, pure strain and solid body rotation, were developed and subsequently compared with available experimental data. The proposed numerical method is pseudospectral for the space scheme and second-order finite-difference for the time scheme. Simulations without any subgrid scale model were obtained with 64 to the 3rd discretization points. The spectral domain where linear interactions dominate nonlinear interactions is also examined. Visualizations clearly show the shape of this domain. The main results of this study concern the reorientation process of the Reynolds stress tensor in the experiment of Gence (1979) and evidence for the inhibition of the energy transfer by rotation.