Turbulence Modeling and Detached Eddy Simulation with a High-Order Unstructured Discontinuous Galerkin Code
In the present paper a high-order Discontinuous Galerkin method is presented for the numerical simulation of the separated turbulent flow around complex geometries using unstructured grids. Bassi and Rebay extended the Discontinuous Galerkin method to solve the Navier-Stokes equations for laminar and 3D turbulent flows. Especially, an extension will be provided to calculate unsteady separated flows with a Detached Eddy Simulation, which is a hybrid method between the Unsteady Reynolds averaged Navier-Stokes approach and the Large Eddy Simulation. Some results, like flows over a flat plate and around a sphere, which could not be predicted with an Unsteady Reynolds averaged Navier-Stokes calculation, are calculated with high accuracy and compared with theory and experiments.
KeywordsTurbulence Model Large Eddy Simulation Discontinuous Galerkin Unstructured Grid Discontinuous Galerkin Method
Unable to display preview. Download preview PDF.
- 4.Bassi, F., Rebay, S.: A high order discontinuous Galerkin method for compressible turbulent flows. In: Cockburn, B., Karniadakis, G.E., Shu, C.-W. (eds.) Discontinuous Galerkin Methods, pp. 77–88. Springer, Heidelberg (2000)Google Scholar
- 6.Constantinescu, G.S., Squires, K.D.: LES and DES Investigations of Turbulent Flow over a Sphere. In: 38th AIAA Aerospace Sciences Meeting and Exhibit, Reno, AIAA–Paper 2000-0540 (2000)Google Scholar
- 7.Landmann, B.: A parallel discontinouous Galerkin code for the Navier-Stokes and Reynolds-averaged Navier-Stockes equations. PhD thesis, University of Stuttgart (2008)Google Scholar
- 8.Lübon, C., Keßler, M., Wagner, S.: A Parallel CFD Solver Using the Discontinuous Galerkin Approach. In: High Perfomace Computing in Science and Engineering, pp. 291–302. Springer, Heidelberg (2008)Google Scholar
- 9.Lübon, C., Keßler, M., Wagner, S., Krämer, E.: Detached Eddy Simulation of Separated Flow on a High-Lift Device and Noise Propagation. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 97, pp. 192–201. Springer, Heidelberg (2007)Google Scholar
- 10.Lübon, C., Wagner, S.: Three-Dimensional Discontinuous Galerkin Codes to Simulate Viscous Flow by Spatial Discretization of High Order and Curved Elements on Unstructured Grids. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 96, pp. 145–153. Springer, Heidelberg (2007)Google Scholar
- 11.Nguyen, N.C., Persson, P.-O., Peraire, J.: RANS Solutions Using High Order Discontinuous Galerkin Methods. In: 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, AIAA–Paper 2007-0914 (2007)Google Scholar
- 12.Schlichting, H.: Grenzschicht-Theorie. Braun, Karlsruhe (1982)Google Scholar
- 13.Spalart, P.R., Allmaras, S.R.: A one-equation turbulence model for aerodynamic flows. La Recherche Aérospatiale 1, 5–21 (1994)Google Scholar
- 14.Spalart, P.R., Jou, W.-H., Strelets, M., Allmaras, S.R.: Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. In: Advances in DNS/LES (1997)Google Scholar