hp -adaptive hybrid RANS/LES simulations for unstructured meshes with the discontinuous Galerkin method

In this paper, an hp-adaptation strategy designed for discontinuous Galerkin methods is applied to hybrid RANS/LES simulations. The 3D hp-adaptive strategy is suited for tetrahedral and hybrid prismatic/tetrahedral meshes, and relies on a metric-based remeshing approach. The metric field and the polynomial map of the adapted meshes are built from an a posteriori error estimator which couples the measure of the energy associated with the highest-order modes and the inter-element jumps, combined with a smoothness sensor which guides the choice between h- and p-adaptation. The turbulence modelling relies on a Zonal Detached Eddy Simulation approach (ZDES mode 1). The resolution requirements in terms of minimum wall spacing Delta y+ are first assessed from steady RANS flat plate simulations at Reynolds 5*10^6 and the value of the DES constant is assessed for DG from 3D Taylor-Green vortex flow simulations at Reynolds 5000. The developed hp-adaptation algorithm is then applied to hybrid RANS/LES simulations of the PPRIME nozzle configuration at diameter-based Reynolds 10^6, starting the adaptive process from previously RANS-adapted meshes.