Abstract
The Discontinuous Galerkin method is used for the discretisation of the Reynolds-Averaged-Navier-Stokes equations. It is a high-order method in space reducing the amount of cells for calculations compared to standard CFD solvers. We are planning to use the method for two different kind of flow types: highly separated flows and rotor flows. For the first, we implemented a Detached Eddy Simulation method. For rotor flows we started to implement a Chimera grid technique so that we are able to handle moving bodies.
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References
Reed, W., Hill, T.: Triangular mesh methods for the neutron transport equation. Technical Report, Los Alamos Scientific Laboratory (1973)
Cockburn, B., Shu, C.: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation law II: general framework. Math. Comput. 52(186), 411–435 (1989)
Bassi, F., Rebay, S.: A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. J. Comput. Phys. 131, 267–279 (1997)
Bassi, F., Crivellini, A., Rebay, S., Savini, M.: Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and k −ω turbulence model equations. Comput. Fluids 34, 507–540 (2005)
Lübon, C.: Turbulenzmodellierung und Detached Eddy Simulation mit einem Discontinuous Galerkin Verfahren von hoher Ordnung. PhD thesis, Universität Stuttgart (2009)
Benek, J., Steger, J., Dougherty, F.: A flexible grid embedding technique with application to the Euler equations. In: Fluid Dynamics and Co-located Conferences. American Institute of Aeronautics and Astronautics, July 1983
Galbraith, M., Orkwis, P., Benek, J.: Extending the Discontinuous Galerkin scheme to the Chimera overset method. In: Fluid Dynamics and Co-located Conferences. American Institute of Aeronautics and Astronautics, June 2011
Galbraith, M., Orkwis, P., Benek, J.: Discontinuous Galerkin scheme applied to Chimera overset viscous meshes on curved geometries. In: Fluid Dynamics and Co-located Conferences. American Institute of Aeronautics and Astronautics, June 2012
Spalart, P., Allmaras, S.: A one-equation turbulence model for aerodynamic flows. La Recherche Aerospatiale 1, 5–21 (1994)
Spalart, P., Jou, W.H., Strelets, M., Allmaras, S.: Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. In: Advances in DNS/LES (1997)
Spalart, P., Deck, S., Shur, M., Squires, K., Strelets, M., Travin, A.: A new version of detached-eddy simulation, resistant to ambiguous grid densities. Theor. Comput. Fluid Dyn. 20(3), 181–195 (2006)
Bassi, F., Rebay, S., Mariotti, G., Pedinotti, S., Savini, M.: A high-order accurate discontinuous finite element method for inviscid and viscous turbomachinery flows. In: Decuypere, R.G.D. (ed.) 2nd European Conference on Turbomachinery Fluid Dynamics and Thermodynamics, Antwerpen, Belgium: Technologisch Instituut, pp. 99–108 (1997)
Wurst, M., Keßler, M., Krämer, E.: A high-order discontinuous Galerkin chimera method for laminar and turbulent flows. In: AIAA SciTech. American Institute of Aeronautics and Astronautics, Jan 2015
Glasby, R., Burgess, N., Anderson, W., Wang, L., Mavriplis, D., Allmaras, S.: Comparison of SU/PG and DG Finite-Element techniques for the compressible Navier-Stokes equations on anisotropic unstructured meshes. In: 51st AIAA Aerospace Sciences Meeting, AIAA 2013–0691 (2013)
Gregory, N., O’Reilly, C.: Low speed aerodynamic characteristics of NACA0012 aerofoil section, including the effects of upper surface roughness simulating hoar frost. Technical Report, Aeronautical Research Council (1970)
Wurst, M., Keßler, M., Krämer, E.: Aerodynamic and acoustic analysis of an extruded airfoil with a trailing edge device using detached eddy simulation with a discontinuous Galerkin method. In: Fluid Dynamics and Co-located Conferences. American Institute of Aeronautics and Astronautics, June 2013
Vogel, J., Eaton, J.: Combined heat transfer and fluid dynamic measurements downstreams of a backward facing step. J. Heat Transf. 107, 922–929 (1985)
Busch, E., Wurst, M., Keßler, M., Kräämer, E.: Computational aeroacoustics with higher order methods. In: Nagel, W.E., Kröner, D.H., Resch, M.M. (eds.) High Performance Computing in Science and Engineering ’12, pp. 239–253. Springer, Berlin (2013)
Heroux, M.A., Bartlett, R.A., Howle, V.E., Hoekstra, R.J., Hu, J.J., Kolda, T.G., Lehoucq, R.B., Long, K.R., Pawlowski, R.P., Phipps, E.T., Salinger, A.G., Thornquist, H.K., Tuminaro, R.S., Willenbring, J.M., Williams, A., Stanley, K.S.: An overview of the trilinos project. ACM Trans. Math. Softw. 31(3), 397–423 (2005)
Acknowledgements
We greatly acknowledge the provision of supercomputing time and technical support by the High Performance Computing Center Stuttgart (HLRS) for our project DGDES.
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Wurst, M., Keßler, M., Krämer, E. (2016). A High-Order Discontinuous Galerkin CFD Solver for Turbulent Flows. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ’15. Springer, Cham. https://doi.org/10.1007/978-3-319-24633-8_35
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DOI: https://doi.org/10.1007/978-3-319-24633-8_35
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