Abstract
In this study, we proposed an idea for an advanced switching parameter used in a hybrid approach connecting large eddy simulation (LES) with Reynolds-averaged Navier–Stokes modeling [the hybrid LES/RANS (HLR) model]. Although the HLR model is promising way to predict engineering turbulent flows, an important problem is that RANS is always adopted in the near-wall region, even if the grid resolution is fine enough for LES. To overcome this difficulty, the switching parameter proposed here introduced knowledge of the Kolmogorov microscale that is thought to be reasonable for representing the near-wall turbulence. This parameter enabled the present HLR model to be smoothly replaced by a full LES if a grid resolution was fine enough in the near-wall region. To confirm model performance, the present HLR model was applied to numerical simulations of a periodic hill flow as well as fundamental plane channel flows. The model generally provided reasonable predictions for these test cases that include complex turbulence with massive flow separation.
Similar content being viewed by others
References
Smagorinsky J.: General circulation experiments with the primitive equations. I. The basic experiment. Mon. Weather Rev. 91, 99–164 (1963)
Bardina, J., Ferziger, J.H., Reynolds, W.C.: Improved Subgrid Scale Models for Large Eddy Simulation, AIAA Paper, No. 80-1357 (1980)
Germano M., Piomelli U., Moin P., Cabot W.H.: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760–1765 (1991)
Lilly D.K.: A proposed modification of the Germano subgridscale closure method. Phys. Fluids A 4, 633–635 (1992)
Zang Y., Street R.L., Koseff J.R.: A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows. Phys. Fluids A 5, 3186–3196 (1993)
Horiuti K.: A new dynamic two-parameter mixed model for large-eddy simulation. Phys. Fluids 9, 3443–3464 (1997)
Morinishi Y., Vasilyev O.V.: A recommended modification to the dynamic two-parameter mixed subgrid scale model for large eddy simulation of wall bounded turbulent flow. Phys. Fluids 13, 3400–3410 (2001)
Balaras E., Benocci C., Piomelli U.: Two-layer approximate boundary conditions for large-eddy simulations. AIAA J. 34, 1111–1119 (1996)
Nikitin N.V., Nicoud F., Wasistho B., Squires K.D., Spalart P.R.: An approach to wall modeling in large-eddy simulations. Phys. Fluids 12, 1629–1632 (2000)
Hamba F.: An attempt to combine large eddy simulation with the k − ɛ model in a channel-flow calculation. Theor. Comput. Fluid Dyn. 14, 323–336 (2001)
Piomelli U., Balaras E., Pasinato H., Squaires K.D., Spalart P.R.: The inner-outer layer interface in large-eddy simulations with wall-layer models. Int. J. Heat Fluid Flow 24, 538–550 (2003)
Davidson L., Peng S.H.: Hybrid LES-RANS modelling: a one-equation SGS model combined with a k−ω model for predicting recirculating flows. Int. J. Numer. Meth. Fluids 43, 1003–1018 (2003)
Batten P., Goldberg U., Chakravarthy S.: Interfacing statistical turbulence closures with large-eddy simulation. AIAA J. 42, 485–492 (2004)
Hanjalic, K., Hadziabdic, M., Temmerman, L. Leschziner, M.A.: Merging LES and RANS strategies: zonal or seamless coupling? In: Friedrich, R., et al. (eds.) Direct and Large Eddy Simulation V, pp. 451–464. Kluwer, Dordrecht (2004)
Temmerman L., Hadziabdic M., Leschziner M.A., Hanjalic K.: . Int. J. Heat Fluid Flow 26, 173–190 (2005)
Abe K.: A hybrid LES/RANS approach using an anisotropy-resolving algebraic turbulence model. Int. J. Heat Fluid Flow 26, 204–222 (2005)
Spalart P.R., Deck S., Shur M.L., Squires K.D., Strelets M.Kh., Travin A.: A new version of detached-eddy simulation, resistant to ambiguous grid densities. Theore. Comput. Fluid Dyn. 20, 181–195 (2006)
Breuer M., Jaffrezic B., Arora K.: Hybrid LES/RANS technique based on a one-equation near-wall model. Theore. Comput. Fluid Dyn. 22, 157–187 (2008)
Deck S.: Recent improvements in the Zonal Detached Eddy Simulation (ZDES) formulation. Theor. Comput. Fluid Dyn. 26, 523–550 (2012)
Abe K.: An improved anisotropy-resolving subgrid-scale model with the aid of a scale-similarity modeling concept. Int. J. Heat Fluid Flow 39, 42–52 (2013)
Abe K.: An investigation of SGS-stress anisotropy modeling in complex turbulent flow fields. Flow Turbul. Combust. 92, 503–525 (2014)
Inagaki M.: A new wall-damping function for large eddy simulation employing Kolmogorov velocity scale. Int. J. Heat Fluid Flow 32, 26–40 (2011)
Abe K., Jang Y.J., Leschziner M.A.: An investigation of wall-anisotropy expressions and length-scale equations for noninear eddy-viscosity models. Int. J. Heat Fluid Flow 24, 181–198 (2003)
Moser R.D., Kim J., Mansour N.N.: Direct numerical simulation of turbulent channel flow up to Re τ = 590. Phys. Fluids 11, 943–945 (1999)
Abe H., Kawamura H., Matsuo Y.: Surface heat-flux fluctuations in a turbulent channel flow up to Re τ = 1020 with Pr = 0.025 and 0.71. Int. J. Heat Fluid Flow 25, 404–419 (2004)
Nagano Y., Tagawa M.: An improved k−ɛ model for boundary layer flows. J. Fluids Eng. 112, 33–39 (1990)
Abe K., Kondoh T., Nagano Y.: A new turbulence model for predicting fluid flow and heat transfer in separating and reattaching flows—I. Flow field calculations. Int. J. Heat Mass Transf. 37, 139–151 (1994)
Temmerman L., Leschziner M.A., Mellen C.P., Froehlich J.: Investigation of wall-function approximations and subgrid-scale models in large eddy simulation of separated flow in a channel with streamwise periodic constrictions. Int. J. Heat Fluid Flow 24, 157–180 (2003)
Muto, M., Tsubokura, M., Oshima, N.: Negative Magnus lift on a rotating sphere at around the critical Reynolds number. Phys. Fluids 24, 014102 (2012)
Kim J., Moin P.: Application of a fractional-step method to incompressible Navier–Stokes equations. J. Comput. Phys. 59, 308–323 (1985)
Amsden A.A., Harlow F.H.: A simplified MAC technique for incompressible fluid flow calculations. J. Comput. Phys. 6, 322–325 (1970)
Rhie C.M., Chow W.L.: Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21, 1525–1532 (1983)
Abe K., Kondoh T., Nagano Y.: On Reynolds stress expressions and near-wall scaling parameters for predicting wall and homogeneous turbulent shear flows. Int. J. Heat Fluid Flow 18, 266–282 (1997)
Froehlich J., Mellen C.P., Rodi W., Temmerman L., Leschziner M.A.: Highly resolved large-eddy simulation of separated flow in a channel with streamwise periodic constrictions. J. Fluid Mech. 526, 19–66 (2005)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Tim Colonius.
Rights and permissions
About this article
Cite this article
Abe, Ki. An advanced switching parameter for a hybrid LES/RANS model considering the characteristics of near-wall turbulent length scales. Theor. Comput. Fluid Dyn. 28, 499–519 (2014). https://doi.org/10.1007/s00162-014-0328-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00162-014-0328-3