A low-diffusion MUSCL scheme for LES on unstructured grids

We are interested in the development of large-eddy simulation (LES) methods for compressible flows in complex geometries. The starting point is a numerical scheme applicable to unstructured tetrahedrizations, conservative, upwind of MUSCL type and vertex centered. A low-diffusion version stabilized with sixth-order spatial derivatives is proposed. The obtained scheme is combined with two LES models, derived from the Smagorinsky model and its dynamic version. The basic test-case chosen is the flow around a square cylinder. Calculations around a forward-swept wing and a business jet are also presented.