Advances in turbulent flow computations using high-resolution methods

The paper reviews research activity in connection with the use of high-resolution methods in turbulent flow computations. High-resolution methods have proven to successfully compute a number of turbulent flows without need to resort to an explicit turbulence model. Here, we review the basic properties of these methods, present evidence from the successful implementation of these methods in turbulent flows, and discuss theoretical arguments and recent research aiming at justifying their use as an implicit turbulence model. Further, we discuss numerical issues that still need to be addressed. These include the relation of the dissipation and dispersion properties with turbulence properties such as turbulence anisotropy, as well as further validation of the methods in under-resolved simulations of near-wall turbulent attached and separated flows.