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The impact of anisotropic dynamic models for applications to LES ofcompressible flows is assessed in the framework of a numerical model based onhigh order discontinuous finite elements. The projections onto lowerdimensional subspaces associated to lower degree basis function are used as LESfilter, along the lines proposed in Variational Multiscale templates.Comparisons with DNS results available in the literature for channel flows atMach numbers 0.2, 0.7 and 1.5 show clearly that the anisotropic model is ableto reproduce well some key features of the flow, especially close to the wall,where the flow anisotropy plays a major role.

Anisotropic dynamic models for Large Eddy Simulation of compressible flows with a high order DG method