Charles Meneveau Professor, Department of Mechanical Engineering Johns Hopkins University, USA
New physics-based wall modeling concepts for Large Eddy Simulations of turbulence
Large Eddy Simulation (LES) of turbulent flows relies on subgrid-scale models as well as wall models. The latter are crucial to applications of LES to wall-bounded flows that do not use sufficiently fine resolution to capture the viscous sublayer physics of the flow. The traditional approach relies heavily on the notion of equilibrium turbulence physics. This notion, however, lacks proper justification in applications far from equilibrium conditions, such as when wall-bounded flows are subjected to rapid external changes. We have developed a new class of physics-based large eddy simulation wall models for more general applicability. The LaRTE (Lagrangian Relaxation To Equilibrium) model is based on a formal interpretation of quasi-equilibrium that governs the momentum balance integrated in the wall-normal direction. The new approach enables us to formally distinguish quasi-equilibrium from additional, non-equilibrium contributions to the wall stress. Additional physics such as fast developing laminar (Stokes) sublayers and effects of wall-attached eddies are modeled separately. The new multi-time scale (MTS) wall modelling approach is first tested in standard equilibrium channel flow, in wall modeled LES of channel flow with a suddenly applied spanwise pressure gradient (SSPG), in a channel flow with varying streamwise accelerations, in pulsating channel flows at various forcing frequencies, in boundary layer flow with a separation bubble, and flow over periodic 2D hills including wall curvature effects. The role of various time scales and model terms will be discussed. This work has been performed with Mitchell Fowler, Ho Jun Kim, and Tamer Zaki, and the research is funded by the Office of Naval Research (grant # N000142312185, Dr. Peter Chang, program manager).