Abstract
This paper focuses on numerical aspects for hybrid RANS–LES computations using the X-LES method. In particular, the impact of using a high-order finite-volume scheme is considered. The finite-volume scheme is fourth-order accurate on non-uniform, curvilinear grids, has low numerical dispersion and dissipation, and is based on the skew-symmetric form of the compressible convection operator, which ensures that kinetic energy is conserved by convection. A limited grid convergence study is performed for the flow over a rounded bump in a square duct. The fourth-order results are shown to depend only mildly on the grid resolution. In contrast, second-order results require at least half the mesh size to become comparable to the fourth-order results. Additionally, the high-order method is extended with shock-capturing capability in such a way that interference with the subgrid-scale model is avoided. The suitability of this extension is demonstrated by means of a supersonic flow over a cavity.
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
Preview
Unable to display preview. Download preview PDF.
References
Aupoix, B.: The DESider bump experiment for hybrid modelling validation. EWA workshop, June 5–6, 2007, Prague (2007)
Kok, J.C.: A symmetry and dispersion-relation preserving high-order scheme for aeroacoustics and aerodynamics. In: Wesseling, P., Oñate, E., Périaux, J. (eds.) ECCOMAS CFD 2006, NLR-TP-2006-525, Egmond aan Zee, The Netherlands, September 5–8, 2006, (2006)
Kok, J.C., et al.: Extra-large eddy simulation of massively separated flows. In: 42nd AIAA Aerospace Sciences Meeting, AIAA paper 2004-264, Reno, NV, January 5–8, 2004, (2004)
Kravchenko, A.G., Moin, P.: On the effect of numerical errors in large eddy simulations of turbulent flows. Journal of Computational Physics 131, 310–322 (1997)
Spalart, P.R., et al.: Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. In: Liu, C., Liu, Z. (eds.) Proc. 1st AFOSR Int. Conf. on DNS/LES. Advances in DNS/LES, Greyden Press, Ruston (LA), USA (1997)
Tam, C.K.W., Webb, J.C.: Dispersion-relation-preserving finite difference schemes for computational acoustics. Journal of Computational Physics 107, 262–281 (1993)
Travin, A., et al.: Physical and numerical upgrades in the detached-eddy simulation of complex turbulent flows. In: Friedrich, R., Rodi, W. (eds.) Proc. of the Euromech Colloquium 412, Munich, Germany, 2000. Advances in LES of Complex Flows, pp. 239–354. Kluwer Academic Publishers, Dordrecht (2002)
Verstappen, R.W.C.P., Veldman, A.E.P.: Symmetry-preserving discretization of turbulent flow. Journal of Computational Physics 187(1), 343–368 (2003)
Vreman, B., Geurts, B., Kuerten, H.: Large-eddy simulation of the turbulent mixing layer. Journal of Fluid Mechanics 339, 357–390 (1997)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kok, J.C., Soemarwoto, B.I., van der Ven, H. (2008). X-LES Simulations Using a High-Order Finite-Volume Scheme. In: Peng, SH., Haase, W. (eds) Advances in Hybrid RANS-LES Modelling. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77815-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-540-77815-8_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77813-4
Online ISBN: 978-3-540-77815-8
eBook Packages: EngineeringEngineering (R0)