Abstract
Numerical modeling in fluid dynamics plays an important role in the design and development of aircrafts. The effectiveness of the flow prediction capabilities of a flow solver depends on the underlying turbulence model. One of the widely used two-equation turbulence models is the Menter-Shear Stress Transport (SST) model, which is relatively robust and requires less computational resources for the simulation of industrial flow applications in comparison to that of more sophisticated approaches as Reynolds stress models. Although the model application is relatively simple, the solution accuracy is relatively high and the results are of highly acceptable standards. The main drawback with the Menter-SST eddy viscosity model lies in the reproduction of some complex flow phenomenons such as vortical flows. It has been observed that the model can not capture the effects of the system rotation and streamline curvature effects, and performs weakly for wake flows. To offer a solution for the above mentioned problem, an extension of the two-equation model with correction terms for these special flows was suggested by Menter and examined in this work. In addition, two other model corrections have been implemented. Therefore, it is of interest to calibrate this extended eddy viscosity model to improve its prediction capabilities for these kinds of flows so as to further improve the compromise between the computational cost and solution accuracy.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Menter, F.: Zonal two equation k-\(\omega \) turbulence models for aerodynamic flows. AIAA paper 93-2906, Orlando (1993)
Menter, F.R.: Sensitizing of the SST turbulence model to rotation and curvature by applying the Spalart-Shur correction. J. Turbomach. 131 (2009)
Pohlhamus, E.C.: Prediction of vortex-lift characteristics by a leading-edge suction analogy. J. Aircr. 8, 193 (1971)
Lambourne, N.C., Bryer, D.W.: The bursting of leading-edge vortices-some observations and discussion of the phenomenon, no. 3282, April 1961
Fritz, W.: Numerical solutions for the VFE-2 configuration on the structured grids at EADS-MAS, Germany, chapter 25 (2011). ISBN 978-92-837-0073-9
Boyden, R.P.: Effects of leading-edge vortex flow on the roll damping of slender wings. J. Aircr. 8(7), 543 (1971)
Carlson, H.W., Mack, R.J.: Studies of leading-edge thrust phenomena. J. Aircr. 17(12), 890 (1980). Article No. 80-0325R
Knight, D.D., Saffman, P.G.: Turbulence model predictions for flows with significant mean streamline curvature. In: AIAA 16th Aerospace Sciences Meeting (1978)
Spalart, P.R., Shur, M.: On the sensitization of turbulence models to rotation and curvature. Aerosp. Sci. Technol. 5, 297–302 (1997)
Shur, M.L., Strelets, M.K., Travin, A.K.: Turbulence modeling in rotating and curved channels: assesing the Spalart-Shur correction. AIAA J. 38, 784–792 (2000)
Smirnov, P.E., Menter, F.R.: Sensitization of the SST turbulence model to rotation and curvature by applying the Spalart-Shur correction term. J. Turbomach. 131 (2009)
Egorov, Y., Menter, F.: Development and application of SST-SAS turbulence model in the DESIDER project. In: Advances in Hybrid RANS-LES Modelling. NNFM, vol. 97, pp. 261–270 (2008)
Hanjalic, K., Launder, B.E.: Sensitizing the dissipation equation to irrotational strains. J. Fluids Eng. 102, 34–40 (1980)
Probst, A: Reynoldsspannungsmodellierung für das Überziehen in der Flugzeugaerodynamik. Dissertation, Technische Universität Braunschweig (2013)
Cécora, R-D.: Reynolds-Spannungsmodell der Turbulenz für Anwendungen der Flugzeugaerodinamik. Dissertation, Technische Universität Braunschweig (2015)
Maduta, R.: An Eddy-resolving Reynolds stress model for unsteady flow computations: development and application. Dissertation, Technische Universität Darmstadt (2014)
Rumsey, C.: Langley Research Center turbulence modeling resource (2018). https://turbmodels.larc.nasa.gov/
Wieghardt, K., Tilman, W.: On the turbulent friction layer for rising pressure. NACA TM-1314 (1951)
Acknowledgments
The authors gratefully acknowledge LuFo V -“Vitual Aircraft Model-Calibration” (LUFOV2-790-024/FKZ:20A1504A) for funding this research project. The turbulence modeling group of the VitAM project is acknowledged for the numerous discussions, knowledge and data transfer. The experimental data for the delta wing was obtained from VFE-2 task group, DLR Göttingen. The computations shown in this paper were performed using the HLRN (Norddeutscher Verbund für Hoch- und Höchstleistungsrechnen), which was essential for the cases requiring large resources.
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
Subbian, G., Radespiel, R. (2020). Assessment of Extensions for an Eddy Viscosity Turbulence Model for Vortical Flows. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Tropea, C., Jakirlić, S. (eds) New Results in Numerical and Experimental Fluid Mechanics XII. DGLR 2018. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-030-25253-3_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-25253-3_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-25252-6
Online ISBN: 978-3-030-25253-3
eBook Packages: EngineeringEngineering (R0)