Non-Boussinesq subgrid-scale model with dynamic tensorial coefficients

A major drawback of Boussinesq-type subgrid-scale stress models used in large-eddy simulations is the inherent assumption alignment between large-scale strain rates and filtered subgrid-stresses. priori analyses using direct numerical simulation (DNS) data has shown that this invalid locally as stresses are poorly correlated with [Bardina et al., AIAA 1980; Meneveau Liu, Ann. Rev. Fluid Mech. 2002]. In present work, a new, non-Boussinesq model presented where coefficients computed dynamically. Some previous have observed issues providing adequate dissipation turbulent kinetic energy [e.g.: Bardina Clark al. J. Mech., 1979; Stolz Adams, Phys. Fluids, 1999]; however, to provide sufficient dynamic coefficients. Modeled Reynolds satisfy consistency requirements governing equations for LES, vanish laminar flow at solid boundaries, correct asymptotic behavior near-wall region boundary layer. The new model, referred tensor-coefficient Smagorinsky (DTCSM), been tested canonical flows: decaying forced homogeneous isotropic turbulence (HIT), wall-modeled channel high numbers; results show favorable agreement DNS data. order assess performance DTCSM more complex flows, number over Gaussian bump exhibiting smooth-body separation performed. Predictions surface pressure skin friction, compared against experimental data, improved accuracy from comparison existing static coefficient (Vreman) model.