Abstract
A new formulation of Detached-Eddy Simulation (DES) based on the k-ω RANS model of Menter (M-SST model) is presented, the goal being an improvement in separation prediction over the S-A model. A new numerical scheme adjusted to the hybrid nature of the DES approach and the demands of complex flows is also presented. The scheme functions as a fourth-order centered differentiation in the LES regions of DES and as an upwind-biased (fifth or third order) differentiation in the RANS and outer irrotational flow regions. The capabilities of both suggested upgrades in DES are evaluated on a set of complex separated flows.
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
Abbott, L.H., and von Doenhoff, A.E. (1959) Theory of Wings Sections, Including Summary of Airfoil Data, Dover, New York.
Abernathy, F.H. (1962) Flow over an inclined plate, ASME J. Basic Eng. 61, 380–388.
Akselvoll, K., and Moin, P. (1993) Large Eddy Simulation of a backward facing step flow, in: Eng. Turb. Modelling and Exp. 2, W. Rodi and F. Martelli Eds., Elsevier.
Breuer, M. (2000) A challenging test case for large eddy simulation: high Reynolds number circular cylinder flow, Int. J. Heatand Fluid Flow 21, 648–654.
Cantwell, B., and Coles, D. (1982) An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder, J. Fluid Mech. 136, 321–374.
Comte-Bellot, G., and Corrsin, S. (1971) Simple Eulerian time correlation of full-and narrow-band velocity signalsin grid-generated ‘isotropic’ turbulence, J. Fluid Mech. 48, 273–337.
Constantinescu, G., and Squires, K.D. (2000) LES and DES investigations of turbulent flow over a sphere, AIAA Paper 2000-0540.
Forsythe, J., Hoffmann, K., and Dieteker, J.-F. (2000) Detached-eddy simulation of a supersonic axisymmetric base flow with unstructured flow solver, AIAA Paper 2000-2410.
Fureby, C. (1999) Large eddy simulation of rearward-facing step flow, AIAA J. 37, No. 11, 1401–1410.
Hoerner, S.F. (1958) Fluid Dynamics Drag, http://members.aol.com/hfdy/home.htm
Jovic, S., and Driver, D. (1995) Reynolds number effects on the skin friction in separated flows behind a backward facing step, Exp. Fluids, 18, 464.
Le, H., Moin, P., and Kim, J. (1993) Direct numerical simulation of turbulent flow over a backward-facing step. Ninth Symp. on Turbulent Shear Flows, Kyoto, Japan, Aug. 1993, pp. 13-2-1–13-2-5.
McCroskey, W.J. (1987) A Critical Assessment of Wind Tunnel Results for the NACA 0012 Airfoil, AGARD_CP429.
McCroskey, W.J., McAlister, K.W., Carr, L.W., and Pucci, S.L. (1982) An Experimental Study of Dynamic Stall on Advanced Airfoil Sections, NASA TM 84245.
Menter, F.R. (1993) Zonal two-equation k-ω turbulence models for aerodynamic flows, AIAA Paper 1993-2906.
Moin, P. (1998) Numerical and physical issues in large eddy simulation of turbulent flows, JSME Int. J,, Series B, 41, No. 2, 454–463.
Neto, A.S., Grand, D., Metais, O., and Lesieur, M. (1993) A numerical investigation of the coherent vortices in turbulence behind a backward-facing step, J. Fluid Mech. 256, 1–25.
Nikitin, N.V., Nicoud, F., Wasistho, B., Squires, K.D., and Spalart P.R. (2000) An approach to wall modelling in large-eddy simulation, Phys. Fluids 12, No. 7.
Rogers, S.E., and Kwak, D. (1988) An upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations, AIAA Paper88-2583-CP.
Roshko, A. (1981) Experiments on the flow past a circular cylinder at very high Reynolds number, J. Fluid Mech., 10(3), 345–356.
Shur, M., Strelets, M., Zaikov, L., Gulyaev, A., Kozlov, V., and Secundov, A. (1995) Comparative numerical testing of one-and two-equation turbulence models for flows with separation and reattachment, AIAA paper, AIAA-95-0863.
Shur, M., Spalart, P.R., Strelets, M., and Travin, A. (1999) Detached-eddy simulation of an airfoil at high angle of attack, in W. Rodi and D. Laurence (eds.) 4th Int. Symp. Eng. Turb. Modelling and Measurements, pp.669–678. May 24-24, 1999. Corsica, Elsevier, Amsterdam.
Spalart, P.R., and Allmaras, S.R. (1994) A one-equation turbulence model for aerodynamic flows, La Rech. A’erospatiale 1, 5–21.
Spalart, P.R., Jou, W.-H., Strelets, M., and Allmaras, S.R. (1997) Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach, 1st AFOSR Int. Conf. on DNS/LES, Aug. 4–8, 1997, Ruston, LA, in Advances in DNS/LES, C. Liu & Z. Liu (eds.), Greyden Press, Columbus, OH.
Spalart, P.R. (1999) Strategies for turbulence modelling and simulations, in: 4th Int. Symp. Eng. Turb. Modelling and Measurements, pp.3–17. May 24-24, 1999, Corsica, France.
Travin, A., Shur, M., Strelets, M., and Spalart. P.R. (2000) Detached-eddy simulations past a circular cylinder, Int. J. Flow, Turbulence and Combustion 63, Nos. 1–4, 293–313.
van Nunen, J.W.G. (1974) Pressure and forces on circular cylinder in a cross flow at high Reynolds numbers, in: Naudascher, (ed.), Flow Induced Structural Vibrations. 1974, Springer-Verlag, Berlin, pp. 748–754.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this paper
Cite this paper
Travin, A., Shur, M., Strelets, M., Spalart, P.R. (2002). Physical and Numerical Upgrades in the Detached-Eddy Simulation of Complex Turbulent Flows. In: Friedrich, R., Rodi, W. (eds) Advances in LES of Complex Flows. Fluid Mechanics and Its Applications, vol 65. Springer, Dordrecht. https://doi.org/10.1007/0-306-48383-1_16
Download citation
DOI: https://doi.org/10.1007/0-306-48383-1_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0486-5
Online ISBN: 978-0-306-48383-7
eBook Packages: Springer Book Archive