Aghora: A High-Order DG Solver for Turbulent Flow Simulations. 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.

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  1. Coquel, Frédéric; Marmignon, Claude; Rai, Pratik; Renac, Florent: An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model (2021)
  2. Renac, Florent: Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations (2021)
  3. Bruel, Pascal; Delmas, Simon; Jung, Jonathan; Perrier, Vincent: A low Mach correction able to deal with low Mach acoustics (2019)
  4. Fernandez, Pablo; Moura, Rodrigo C.; Mengaldo, Gianmarco; Peraire, Jaime: Non-modal analysis of spectral element methods: towards accurate and robust large-eddy simulations (2019)
  5. Naddei, Fabio; de la Llave Plata, Marta; Couaillier, Vincent; Coquel, Frédéric: A comparison of refinement indicators for (p)-adaptive simulations of steady and unsteady flows using discontinuous Galerkin methods (2019)
  6. de la Llave Plata, Marta; Couaillier, Vincent; le Pape, Marie-Claire: On the use of a high-order discontinuous Galerkin method for DNS and LES of wall-bounded turbulence (2018)
  7. Fernandez, P.; Nguyen, N. C.; Peraire, J.: The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows (2017)
  8. Renac, Florent: A robust high-order Lagrange-projection like scheme with large time steps for the isentropic Euler equations (2017)
  9. Chapelier, J.-B.; de la Llave Plata, M.; Lamballais, E.: Development of a multiscale LES model in the context of a modal discontinuous Galerkin method (2016)
  10. Renac, Florent: Stability analysis of discontinuous Galerkin discrete shock profiles for steady scalar conservation laws (2016)
  11. Parsani, Matteo; Carpenter, Mark H.; Nielsen, Eric J.: Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations (2015)
  12. Mbengoue, D. A.; Genet, D.; Lachat, C.; Martin, E.; Mogé, M.; Perrier, V.; Renac, F.; Rué, F. S.; Ricchiuto, M.: Comparison of high order algorithms in \textscAerosoland \textscAghorafor compressible flows (2013)