Abstract
The paper presents a formulation review and recent results for a non-zonal enhanced DES variant called \(\sigma \)-DDES [9], which seeks to address the issue of delayed transition from RANS to LES in free shear layers (also known as the grey-area problem) frequently experienced for standard delayed DES [13]. The two-part approach is based on modifying the LES behaviour of DES (the new model now behaves similar to the \(\sigma \) LES model of Nicoud et al. [10]) as well as using a more elaborate LES filter width formulation. Combining both means delivers an enhanced behaviour in the crucial early shear layer region. First, the derivation of the approach based on two popular RANS models (i.e. Spalart-Allmaras and Menter SST) is discussed. Subsequently, recent OpenFOAM results from different test cases are presented, such as pressure-induced separation from a 2D hump, a generic car flow and aeroacoustic results for a rudimentary landing gear (RLG). The \(\sigma \)-DDES variant is seen to deliver a more consistent flow prediction with varying grid resolution and topology independent of the applied RANS background model, and could also be established as a viable turbulence modelling approach for aeroacoustics prediction at low Mach numbers.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Curle, N.: The influence of solid boundaries upon aerodynamic sound. Proc. R. Soc. Lond. Ser. A 231(1187), 505–514 (1955)
Fuchs, M., Fischer, D., Mockett, C., Kramer, F., Knacke, T., Sesterhenn, J., Thiele, F.: Assessment of different meshing strategies for low Mach number noise prediction of a rudimentary landing gear. In: 23rd AIAA/CEAS Aeroacoustics Conference, AIAA, p. 3020 (2017)
Fuchs, M., Mockett, C., Sesterhenn, J., Thiele, F.: Recent results with grey-area improved DDES for a wide range of flows. In: Progress in Hybrid RANS-LES Modelling, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 137, pp. 195–206, Springer, Berlin (2018)
Greenblatt, D., Paschal, K., Yao, C.-S., Harris, J.: A separation control CFD validation test case, Part 2: Zero Efflux Oscillatory Blowing. AIAA Paper No. 2005–0485 (also in AIAA Journal, Vol. 44, No. 12, 2006, pp. 2831–2845)
Gritskevich, M., Garbaruk, A., Schütze, J., Menter, F.: Development of DDES and IDDES Formulations for the \(k\)-\(\omega \) Shear Stress Transport Model. Flow, Turbul. Combust. 88, 432–449 (2012)
Guseva, E., Gritskevich, M., Garbaruk, A.: Assessment of two approaches to accelerate RANS to LES transition in shear layers in the framework of ANSYS-FLUENT. J. Phys.: Conf. Ser. 1038, 012134 (2018)
Kok, J.: A stochastic backscatter model for grey-area mitigation in detached eddy simulations. Flow, Turbul. Combust. 99(1), 119–150 (2017). Springer, Berlin
Lienhart, H., Stoots, C., Becker, S.: Flow and turbulence structures in the wake of a simplified car model (Ahmed model). Stuttgart University, DGLR Fach Symp. der AG STAB (2000)
Mockett, C., Fuchs, M., Garbaruk, M., Shur, M., Spalart, P., Strelets, M., Thiele, F., Travin, A.: Two non-zonal approaches to accelerate RANS to LES transition of free shear layers in DES. In: Progress in Hybrid RANS-LES Modelling. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 130, pp. 187–201. Springer, Heidelberg (2015)
Nicoud, F., Toda, H., Cabrit, O., Lee, J.: Using singular values to build a sub-grid scale model for Large-Eddy Simulation. Phys. Fluids 23, 085106 (2011)
Reger, R., Cattafesta, L.: Experimental study of the rudimentary landing gear acoustics. AIAA J. 53(6), 1715–1720 (2015)
Shur, M., Spalart, P., Strelets, M., Travin, A.: An enhanced version of DES with rapid transition from RANS to LES in separated flows. Flow, Turbul. Combust. 95(4), 709–737 (2015)
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)
Spalart, P., Wetzel, D.: Rudimentary landing gear results at the 2012 BANC-II airframe noise workshop. Int. J. Aeroacoustics 14(1–2), 193–216 (2015)
Spalding, D.: A single formula for the “law of the wall”. J. Appl. Mech. 28, 455–458 (1961)
Travin, A., Shur, M., Strelets, M., Spalart, P.: Physical and numerical upgrades in the detached-eddy simulation of complex turbulent flows. In Proceedings of the 412th Euromech Colloquium on LES and Complex Transitional and Turbulent Flows, Munich/Germany (2000)
Acknowledgements
The development of the \(\sigma \)-DDES model was partially funded by the EU FP7 project “Go4Hybrid” (ACP3-GA-2013-60536-Go4Hybrid). The contributions of the two TU-Berlin students Denes Fischer (simulation of RLG on structured/polyhedral grids) and Louis Fliessbach (simulation of RLG on hex-dominant grid) are gratefully acknowledged. The structured grid for the 2D hump test case was generated by NTS (New Technologies and Services, St. Petersburg/Russia).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Fuchs, M., Mockett, C., Sesterhenn, J., Thiele, F. (2020). The Grey-Area Improved \(\sigma \)-DDES Approach: Formulation Review and Application to Complex Test Cases. In: Hoarau, Y., Peng, SH., Schwamborn, D., Revell, A., Mockett, C. (eds) Progress in Hybrid RANS-LES Modelling . Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 143. Springer, Cham. https://doi.org/10.1007/978-3-030-27607-2_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-27607-2_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-27606-5
Online ISBN: 978-3-030-27607-2
eBook Packages: EngineeringEngineering (R0)