Temporal filtering: A consistent formalism for seamless hybrid RANS-LES modeling in inhomogeneous turbulence

International Journal of Heat and Fluid Flow

Volumn 31, Issue 3, 2010, Pages 378-389

  Fadai Ghotbi, Atabak ^a   Friess, Christophe ^a   Manceau, Rémi ^a   Gatski, Thomas B ^a   Borée, Jacques ^a  

^a UNIVERSITÉ DE POITIERS   (France)

Author keywords

DES; Elliptic Blending Reynolds Stress Model; Eulerian temporal filter; TLES; TPITM; URANS

Indexed keywords

EULERIAN; FILTERING PROCESS; GALILEAN INVARIANCE; HYBRID RANS-LES; INHOMOGENEOUS TURBULENCE; INTEGRATED TRANSPORT; RANS MODELS; REYNOLDS; REYNOLDS STRESS; REYNOLDS STRESS MODELS; SPATIAL FILTERS; STATIONARY FLOW; SUBFILTERS; TEMPORAL FILTERING; TEMPORAL FILTERS; TLES; TRANSPORT EQUATION;

ATMOSPHERIC BOUNDARY LAYER; BLENDING; GEOMETRY; NAVIER STOKES EQUATIONS;

COMPUTER SIMULATION;

EID: 77953232189     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatfluidflow.2009.12.008     Document Type: Article

References (39)

1. Åkervik E., Brandt L., Henningson D., Hoepffner J., Marxen O., Schlatter P. Steady solutions of the Navier-Stokes equations by selective frequency damping. Phys. Fluids 2006, 18(6).
2. Antoni J. Cyclostationarity by examples. Mech. Syst. Signal Pr. 2009, 23(4):987-1036.
3. Archambeau F., Méchitoua N., Sakiz M. Code saturne: a finite volume code for the computation of turbulent incompressible flows-industrial applications. Int. J. Finite Volumes 2004, ISSN:1634(0655). .
4. Bardina, J., Ferziger, J.H., Reynolds, W.C., 1980. Improved subgrid-scale models for large-Eddy simulation. Paper no. 2003-0767, AIAA.
5. Batten P., Goldberg U., Chakravarthy S. Interfacing statistical turbulence closures with large-Eddy simulation. AIAA J. 2004, 42(3):485-492.
6. Bourguet R., Braza M., Harran G., El Akoury R. Anisotropic organised Eddy simulation for the prediction of non-equilibrium turbulent flows around bodies. J. Fluid Struct. 2008, 24(8):1240-1251.
7. Bourguet R., Braza M., Perrin R., Harran G. Anisotropic Eddy-viscosity concept for strongly detached unsteady flows. AIAA J. 2007, 45(5):1145-1149.
8. Chaouat B., Schiestel R. A new partially integrated transport model for subgrid-scale stresses and dissipation rate for turbulent developing flows. Phys. Fluids 2005, 17:1-19.
9. Chaouat B., Schiestel R. Progress in subgrid-scale transport modelling for continuous hybrid non-zonal RANS/LES simulations. Int. J. Heat Fluid Flow 2009, 30(4):602-616.
10. Fadai-Ghotbi, A., Manceau, R., Borée, J., 2007. A seamless hybrid RANS-LES model based on transport equations for the subgrid stresses and elliptic blending. In: Proc. 5th Symp. Turb. Shear Flow Phenomena, Munich, Germany, pp. 741-746.
11. Fan C.-C., Xiao X., Edwards J., Hassan H., Baurle R. Hybrid large-Eddy/Reynolds-averaged Navier-Stokes simulations of shock-separated flows. J. Spacecraft Rockets 2004, 41(6):897-906.
12. Fasel H., Seidel J., Wernz S. A methodology for simulations of complex turbulent flows. J. Fluids Eng.-T. ASME 2002, 124(4):933-942.
13. Fröhlich J., von Terzi D. Hybrid LES/RANS methods for the simulation of turbulent flows. Prog. Aerosp. Sci. 2008, 44(5):349-377.
14. Germano M. Turbulence: the filtering approach. J. Fluid Mech. 1992, 238:325-336.
15. Ghosal S., Moin P. The basic equations of the large Eddy simulation of turbulent flows in complex geometries. J. Comput. Phys. 1995, 118:24-37.
16. Girimaji S.S. Partially-averaged Navier-Stokes model for turbulence: a Reynolds-averaged Navier-Stokes to direct numerical simulation bridging method. J. Appl. Mech. 2006, 73(3):413-421.
17. Jakirlić S., Manceau R., Sarić S., Fadai-Ghotbi A., Kniesner B., Carpy S., Kadavelil G., Friess C., Tropea C., Borée J. LES, zonal and seamless hybrid LES/RANS: rationale and application to free and wall-bounded flows involving separation and swirl. Notes on Numerical Fluid Mechanics and Multidisciplinary Design 2009, Springer, pp. 253-282.
18. Kampé De Fériet J., Betchov R. Theoretical and experimental averages of turbulent functions. Proc. K. Ned. Akad. Wetensc 1951, 53:389-398.
19. Kok, J., Dol, H., Oskam, H., van der Ven, H., 2004. Extra-large Eddy simulation of massively separated flows. Paper no. 04-0264, AIAA.
20. Ma X., Karamanos G.-S., Karniadakis G. Dynamics and low-dimensionality of a turbulent near wake. J. Fluid Mech. 2000, 410:29-65.
21. Manceau, R., 2005. An improved version of the elliptic blending model. Application to non-rotating and rotating channel flows. In: Proc. 4th Int. Symp. Turb. Shear Flow Phenomena, Williamsburg, Virginia, USA. pp. 259-264.
22. Manceau R., Hanjalić K. Elliptic blending model: a new near-wall Reynolds-stress turbulence closure. Phys. Fluids 2002, 14(2):744-754.
23. Menter, F., Kuntz, M., Bender, R., 2003. A scale-adaptive simulation model for turbulent flow predictions. Paper no. 2003-0767, AIAA.
24. Moser R.D., Kim J., Mansour N.N. Direct numerical simulation of turbulent channel flow up to Reτ=590. Phys. Fluids 1999, 11(4):943-945.
25. Perrin R., Braza M., Cid E., Cazin S., Barthet A., Sevrain A., Mockett C., Thiele F. Obtaining phase averaged turbulence properties in the near wake of a circular cylinder at high reynolds number using POD. Exp. Fluids 2007, 43(2-3):341-355.
26. Pruett C.D. Eulerian time-domain filtering for spatial large-Eddy simulation. AIAA J. 2000, 38(9):1634-1642.
27. Pruett C.D., Gatski T.B., Grosch C.E., Thacker W.D. The temporally filtered Navier-Stokes equations: properties of the residual stress. Phys. Fluids 2003, 15(8):2127-2140.
28. Sagaut P., Deck S., Terracol M. Multiscale and Multiresolution Approaches in Turbulence 2006, Imperial College Press.
29. Schiestel R. Sur le concept d'échelles multiples en modélisation des écoulements turbulents (partie I). J. Mech. Theor. Appl. 1983, 2(3):417-449.
30. Schiestel R. Sur le concept d'échelles multiples en modélisation des écoulements turbulents (partie II). J. Mech. Theor. Appl. 1983, 2(4):601-628.
31. Schiestel R. Multiple-time-scale modelling of turbulent flows in one point closures. Phys. Fluids 1987, 30:722-731.
32. Schiestel R., Dejoan A. Towards a new partially integrated transport model for coarse grid and unsteady turbulent flow simulations. Theor. Comput. Fluid Dyn. 2005, 18:443-468.
33. Spalart P., Jou W.-H., Strelets M., Allmaras S. Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. First AFOSR International Conference on DNS/LES, 4-8 August, Ruston, LA, Advances in DNS/LES 1997, 137-147. Greyden Press, Columbus, OH, USA. C. Liu, Z. Liu (Eds.).
34. Speziale C.G. On the decomposition of turbulent flow fields for the analysis of coherent structures. Acta Mech. 1987, 70(1-4):243-250.
35. Speziale C.G. Turbulence modeling for time-dependent RANS and VLES: a review. AIAA J. 1998, 36(2):173.
36. Speziale C.G., Sarkar S., Gatski T.B. Modeling the pressure-strain correlation of turbulence: an invariant dynamical system approach. J. Fluid Mech. 1991, 227:245-272.
37. Stolz S., Adams N., Kleiser L. An approximate deconvolution model for large-Eddy simulation with application to incompressible wall-bounded flows. Phys. Fluids 2001, 13(4):997-1015.
38. Tejada-Martinez A.E., Grosch C.E., Gatski T.B. Temporal large Eddy simulation of unstratified and stably stratified turbulent channel flows. Int. J. Heat Fluid Flow 2007, 28:1244-1261.
39. Tennekes H. Eulerian and lagrangian time microscales in isotropic turbulence. J. Fluid Mech. 1975, 67:561-567.