A multi-scale formulation for compressible turbulent flows suitable for general variational discretization techniques

A locally p-adaptive approach for Large Eddy Simulation of compressible flows in a DG framework

“…As mentioned before, the definition of the filter operator · is based on the DG discretization, as proposed also in [56]. Let Π V :…”

“…Discontinuous Galerkin (DG) methods have become increasingly popular for Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS) of turbulent flows over the last two decades, as shown by the large number of paper devoted to this topic, among which we mention for example [1], [4], [7], [8], [56], [28], [47], [54], [55], [59]. The remarkable accuracy of DG methods implies however that a larger number of degrees of freedom is employed with respect to continuous finite elements approache, and, as a consequence, a higher computational cost is required.…”

Large Eddy Simulation for Compressible Flows

“…VMS has been proposed originally with the finite-element discretization of the flow equations in mind, where a scale separation on each computational element is possible by distinguishing the different polynomial degrees of the trial functions. For compressible flows VMS has been adapted by Koobus and Farhat [145] for unstructured meshes and by van der Bos et al [298] investigated with respect to general properties of the VMS formulation. For compressible flows VMS has been adapted by Koobus and Farhat [145] for unstructured meshes and by van der Bos et al [298] investigated with respect to general properties of the VMS formulation.…”

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

“…Discontinuous Galerkin (DG) methods have been applied to LES and DNS by several authors, see e.g. [8], [9], [11], [32], [45], [48], [49], [51]. DG methods are particularly appealing for realistic CFD applications for a number of practical and conceptual reasons.…”