Direct numerical simulation of homogeneous turbulent shear flow

A direct numerical simulation (DNS) of 3D, incompressible, time-dependent Navier-Stokes and continuity equations was performed in homogeneous turbulent shear flows. The algorithm originally developed by Rogallo is revised to make cost-efficient calculations. Due to the linear transverse system used, which is consistent with periodic condition, the computational grid deforms with respect to the mean flow. Thus, the remeshing procedure is applied at regular intervals to allow the simulation to progress for a substantial time. Removal of aliasing errors is achieved by truncation and random phase-shift methods. Applying this hybrid method, residual errors become of the same order of the time integration. The simulated results of turbulence quantities are in good agreement with those obtained by Rogallo.