Summary: The technique of direct numerical simulation (DNS) is discussed with emphasis on application to complex turbulent flows. Several specific DNS schemes for time-integration of the three-dimensional Navier-Stokes equations are briefly described. The application of the methods reviewed here involves first the simulation of a spherical particle in a flat-plate boundary layer, providing insight into the processes of bypass transition. Secondly, a turbulent square duct flow simulation yields a detailed understanding of the origins of secondary flow in a streamwise corner. Finally, the simulation of a supersonic turbulent wall-shear layer allows to evaluate the compressibility effects and to describe the structure of compressible turbulence close to a wall.
For the entire collection see [Zbl 0873.00029].