Large-eddy simulations of the turbulent flow in a lid-driven cubical cavity have been carried
out at a Reynolds number of 12000 using spectral element methods. Two distinct subgrid-
scales models, namely a dynamic Smagorinsky model and a dynamic mixed model, have
been both implemented and used to perform long-lasting simulations required by the
relevant time scales of the flow. All filtering levels make use of explicit filters applied in the
physical space (on an element-by-element approach) and spectral (modal) spaces. The two …

LES of the flow in a lid-driven cubical cavity by the Legendre spectral element method using
a novel dynamic approximate deconvolution model (ADM) is considered. Explicit filtering is
based on an invertible modal filter. Despite its simple geometry, this 3D unsteady flow at
Re= 12'000 is very challenging for subgrid modeling. Indeed, maintaining the energy
balance among scales in such a confined fluid domain is a difficult task allowing to track any
under-or over-dissipative character of the subgrid dynamic ADM. Furthermore, the …