Aghora: A high-order DG solver for turbulent flow simulations

Abstract

This paper presents details of the solver Aghora for the simulation of unsteady compressible turbulent flows. Different modelling levels are used: Reynolds averaged Navier-Stokes equations coupled with turbulence transport equations, variational multi-scale formulation of large-eddy simulation, and direct numerical simulation. The space discretization is based on a high-order discontinuous Galerkin method with representation of curved boundaries. High-order explicit and implicit Runge-Kutta methods are used for the time integration. The performance of the solver will be assessed in various examples of compressible turbulent flow numerical simulation in three space dimensions. Keywords: discontinuous Galerkin method, compressible flows, turbulent flows, direct numerical simulation, large-eddy simulation, variational multiscale method.