Hybrid RANS/LES Simulations and Aeroacoustic Analysis of Jet Flows using an hp-Adaptive Discontinuous Galerkin Method

Abstract

In this paper, an hp-adaptation strategy designed for discontinuous Galerkin methods is extended and 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 of the solution, combined with a smoothness sensor which guides the choice between h- and p-adaptation. The turbulence modeling relies on a Zonal Detached Eddy Simulation approach. The developed hp-adaptation algorithm is assessed in the context of hybrid RANS/LES simulations of the PPRIME nozzle configuration at diameter-based Reynolds number equal to \(10^6\), starting the adaptive process from previously RANS-adapted meshes. Far-field acoustic analysis are performed using a Ffowcs Williams−Hawkings method.