Abstract
This paper provides a discussion of several aspects of the construction of approaches that combine statistical (Reynolds-averaged Navier–Stokes, RANS) models with large eddy simulation (LES), with the objective of making LES an economically viable method for predicting complex, high Reynolds number turbulent flows. The first part provides a review of alternative approaches, highlighting their rationale and major elements. Next, two particular methods are introduced in greater detail: one based on coupling near-wall RANS models to the outer LES domain on a single contiguous mesh, and the other involving the application of the RANS and LES procedures on separate zones, the former confined to a thin near-wall layer. Examples for their performance are included for channel flow and, in the case of the zonal strategy, for three separated flows. Finally, a discussion of prospects is given, as viewed from the writer's perspective.
References
Abe K. . 2005A hybrid LERS/RANS approach using an anisotropy-resolving algebraic turbulence model. Int. J. Heat Fluid Flow. 26, 204–222.doi:10.1016/j.ijheatfluidflow.2004.08.009. . Crossref, ISI, Google ScholarBalaras E., Benocci C.& Piomelli U. . 1996Two-layer approximate boundary conditions for large-eddy simulations. J. AIAA. 34, 1111–1119.doi:10.2514/3.13200. . Crossref, Google Scholar- Batten, P., Goldberg, U. & Chakravarthy, S. 2002 LNS: an approach towards an embedded LES. In Proc. 40th Aerospace Sciences Meeting, Reno, NV, January 2002. AIAA paper 2002-0427. Google Scholar
- Byun, G. & Simpson, R. L. 2005 Structure of three-dimensional separated flow on an axisymmetric bump. AIAA paper 2005-0113. Google Scholar
Cabot W.H.& Moin P. . 2000Approximate wall boundary conditions in the large eddy simulation of high Reynolds number flow. Flow Turbul. Combust. 63, 269–291.doi:10.1023/A:1009958917113. . Crossref, ISI, Google ScholarChaouat B.& Schiestel R. . 2005A new partially integrated transport model for subgrid-scale stresses and dissipation rate for turbulent developing flows. Phys. Fluids. 17, 035 106doi:10.1063/1.1850920. . ISI, Google ScholarDavidson L.& Billson M. . 2006Hybrid LES/RANS using synthesized turbulence for forcing at the interface. Int. J. Heat Fluid Flow. 27, 1028–1042.doi:10.1016/j.ijheatfluidflow.2006.02.025. . Crossref, ISI, Google ScholarDavidson L.& Peng S.-H. . 2003Hybrid LES-RANS: a one-equation SGS model combined with a k-omega model for predicting recirculating flows. Int. J. Numer. Methods Fluids. 43, 1003–1018.doi:10.1002/fld.512. . Crossref, ISI, Google ScholarDeardorff J.W. . 1970A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41, 453–480.doi:10.1017/S0022112070000691. . Crossref, ISI, Google Scholar- Dejoan, A. & Schiestel, R. 2001 Large eddy simulations of non-equilibrium pulsed turbulent flow using transport equations subgrid scale model. In Proc. 2nd Symp. on Turbulence and Shear Flow Phenomena, Stockholm, pp. 341–346. Google Scholar
García-Villalba M., Li N., Rodi W.& Leschziner M.A. . 2009Large eddy simulation of flow over and around a three-dimensional axisymmetric hill. J. Fluid Mech. 627, 55–96. Crossref, ISI, Google Scholar- Girimaji, S., Srinivasan, R. & Jeong, E. 2003 PANS turbulence models for seamless transition between RANS and LES: fixed point analysis and preliminary results. In Proc. Int. 4th ASME–JSME Joint Engineering Conference, Honolulu, FEDSM2003-45336. Google Scholar
Hamba F. . 2001An attempt to combine large eddy simulation with the k−ϵ model in a channel flow computation. Theor. Comput. Fluid Dyn. 14, 323–326.doi:10.1007/s001620050143. . Crossref, ISI, Google ScholarHoffman G.& Benocci C. Approximate wall-boundary conditions for large-eddy simulations. Advances in turbulence& Benzi R. . 1995pp. 222–228. Eds. Dordrecht, The Netherlands:Kluwer Academic Publishers. Google Scholar- Li, N. & Leschziner, M. A. 2007a Highly-resolved large eddy simulation of separation from a three-dimensional hill. In Proc. 11th European Turbulence Conference, Porto, June 2007, pp. 407–409. Google Scholar
Li N.& Leschziner M.A. Large-eddy simulation of flow over a swept wing with approximate near-wall modelling. Aeronaut. J. 111, 2007b689–697. Crossref, ISI, Google ScholarPiomelli U.& Balaras E. . 2002Wall-layer models for large-eddy simulations. Annu. Rev. Fluid Mech. 34, 349–374.doi:10.1146/annurev.fluid.34.082901.144919. . Crossref, ISI, Google ScholarSchumann U. . 1975Subgrid scale model for finite difference simulation of turbulent flows in plane channels and annuli. J. Comput. Phys. 18, 376–404.doi:10.1016/0021-9991(75)90093-5. . Crossref, ISI, Google ScholarSimpson R.L., Long C.H.& Byun G. . 2002Study of vortical separation from an axisymmetric hill. Int. J. Heat Fluid Flow. 140, 233–258. Google ScholarSpalart P.R.& Allmaras S.R. . 1994A one-equation turbulence model for aerodynamic flows. La Recherche Aerospatiale. 1, 5–21. Google Scholar- Spalart, P. R., Jou, W.-H., Strelets, M. & Allmaras, S. R. 1997 Comments on the feasibility of LES for wings and on the hybrid RANS/LES approach. In Advances in DNS/LES, 1st AFOSR International Conference on DNS/LES, pp. 137–148. Columbus, OH: Greyden Press. Google Scholar
Spalart P.R., Deck S., Shur M.L., Squires K.D., Strelets M.K.& Travin A. . 2006A new version of detached-eddy simulation, resistant to ambiguous grid densities. Theor. Comput. Fluid Dyn. 20, 181–195.doi:10.1007/s00162-006-0015-0. . Crossref, ISI, Google ScholarTemmerman L., Leschziner M.A.& Hanjalić K. A-priori studies of a near-wall RANS model within a hybrid LES/RANS scheme. Engineering turbulence modelling and experiments, Rodi W.& Fueyo N. . 2002pp. 317–326. Eds. Amsterdam, The Netherlands:Elsevier. Google ScholarTemmerman L., Leschziner M.A., Mellen C.& Froehlich J. . 2003Investigation of subgrid-scale models and wall-function approximations in large eddy simulation of separated flow in a channel with streamwise periodic constrictions. Int. J. Heat Fluid Flow. 24, 157–180.doi:10.1016/S0142-727X(02)00222-9. . Crossref, ISI, Google ScholarTemmerman L., Hadziabdic M., Leschziner M.A.& Hanjalic K. . 2004A hybrid two-layer URANS-LES approach for large eddy simulation at high Reynolds numbers. Int. J. Heat Fluid Flow. 26, 173–190.doi:10.1016/j.ijheatfluidflow.2004.07.006. . Crossref, ISI, Google ScholarTessicini F., Temmerman L.& Leschziner M.A. . 2006Approximate near-wall treatments based on zonal RANS-LES hybrid methods for LES at high Reynolds numbers. Int. J. Heat Fluid Flow. 27, 789–799.doi:10.1016/j.ijheatfluidflow.2006.03.024. . Crossref, ISI, Google ScholarTessicini F., Li N.& Leschziner M.A. . 2007Large eddy simulation of three-dimensional flow around a hill-shaped obstruction with a zonal near-wall approximation. Int. J. Heat Fluid Flow. 28, 894–908.doi:10.1016/j.ijheatfluidflow.2007.01.006. . Crossref, ISI, Google Scholar- Travin, A., Shur, M., Spalart, P. R. & Strelets, M. 2006 Improvement of delayed detached eddy simulation for LES with wall modelling. In Proc. 2006 European Conference on Computational Fluid Dynamics (ECCOMAS CFD 2006), Egmond aan Zee, The Netherlands. Google Scholar
- Uribe, J., Jarrin, N., Prosser, R. & Laurence, D. 2007 Hybrid v2f RANS/LES model and synthetic inlet turbulence applied to a trailing edge flow. In Proc. 5th Int. Symp. on Turbulence and Shear Flow Phenomena, Munich, Germany, pp. 701–706. Google Scholar
Wang C., Jang Y.J.& Leschziner M.A. . 2004Modelling two- and three-dimensional separation from curved surfaces with anisotropy-resolving turbulence closures. Int. J Heat Fluid Flow. 25, 499–512.doi:10.1016/j.ijheatfluidflow.2004.02.009. . Crossref, ISI, Google ScholarWang M.& Moin P. . 2000Computation of trailing-edge flow and noise using large eddy simulation. J. AIAA. 38, 2201–2209.doi:10.2514/2.895. . Crossref, Google Scholar- Werner, H. & Wengle, H. 1991 Large eddy simulation of turbulent flow over and around a cube in a plate channel. In Proc. 8th Symp. on Turbulent Shear Flows, Munich, Germany, pp. 155–168. Google Scholar


