Non-equilibrium mixing of turbulence scales using a continuous hybrid RANS/LES approach: Application to the shearless mixing layer

Flow, Turbulence and Combustion

Volumn 78, Issue 2, 2007, Pages 129-151

  Befeno, Ignace ^a   Schiestel, Roland ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Large eddy simulation; Mixing layer; Spectral non equilibrium; Subgrid scale model; Turbulence

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; SHEAR FLOW; TURBULENCE;

LARGE EDDY SIMULATION; MIXING LAYER; PARTIALLY INTEGRATED TRANSPORT METHOD (PITM); SUBGRID SCALE MODEL; TRANSPORT MODELLING;

TURBULENT FLOW;

EID: 33847041491     PISSN: 13866184     EISSN: 15731987     Source Type: Journal    
DOI: 10.1007/s10494-006-9055-1     Document Type: Article

References (49)

1. Befeno, I.: Simulations de grandes échelles turbulentes en écoulement hors-équilibre, étude de la couche de mélange non cisaillée, Doctorat Thesis Dissertation, Université de la Méditerranée, Aix-Marseille II (2002)
2. Bertoglio, J.P., Jeandel, D.: A simplified closure for inhomogeneous turbulence: Application to the boundary layer. Fifth Turbulent Shear Flows. Springer, Berlin Heidelberg New York (1986)
3. Briggs, D.A., Ferziger, J.H., Koseff, J.R., Monismith, S.G.: Entrapment in a shear free turbulent mixing layer. In: Application of direct and large eddy simulation to transition and turbulence, AGARD Conference Proceedings, vol. 551, pp. 22/1-22/18 (1994)
4. Cambon, C., Jacquin, L.J., Lubrano, J.L.: Towards a new Reynolds-stress model for rotating turbulent flows. Phys. Fluids, A Fluid Dyn. 4, 812-824 (1992)
5. Chandrsuda, C., Metha, R.D., Weir, A.D., Bradshaw, P.: Effect of free-stream turbulence on large structure in turbulent mixing layers, Department of Aeronautics, Imperial College, London. J. Fluid Mech., vol. 85, part 4, 693-704 (1977)
6. Chaouat, B., Schiestel, R.: A new partially integrated transport model for subgrid-scale stresses and dissipation rate for turbulent developing flows. Phys. Fluids (online reference 065 106), vol. 17 (2005)
7. Comte, P., Lesieur, M., Lamballais, E.: Large- and small-scale stirring of vorticily and a passive scalar in a 3-D temporal mixing layer. Phys. Fluids, A Fluid Dyn. 4(12), 2761-2778 (1992)
8. Comte-Bellot, G., Corrsin, S.: The use of a contraction to improve the isotropy of grid generated turbulence. J. Fluid Mech. 25, 657-682 (1966)
9. Deardorff, J.W.: The use of subgrid transport equations in a three-dimensional model of atmospheric turbulence. J. Fluids Eng. 95, 429-438 (1973)
10. Dejoan, A., Schiestel, R.: Large eddy simulation of non-equilibrium pulsed turbulent flows using transport equation subgrid-scale model. 2nd Int. Symp. on Turbulence and Shear Flow Phenomena, 27-29 juin, 2001, Proc., vol. 2, pp. 341-346 (2001)
11. Delville, J., Keily, U., Cordier, L., Bonnet, J.P, Glauser, M.: Examination of large-scale structures in a turbulent plane mixing layer. Part 1. Proper orthogonal decomposition. J. Fluid Mech. 391, 91-122 (1999)
12. Ferziger, J.H.: Large eddy simulations. In: Gatski, T.B., Hussaini, M.Y., Lumley, J.L. (eds.) Simulation and modeling of turbulent flows, ICASE/LaRC Series in Computational Science and Engineering, pp. 109-154. Oxford University Press (1996)
13. Germano, M., Piomelli, U., Moin, P., Cabot, W-H.: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids, A Fluid Dyn. 3(7), 1760-1765 (1991)
14. Gilbert, B.: Diffusion mixing in grid turbulence without mean shear. J. Fluid Mech. 100, 349-365 (1980)
15. Hanjalic, K., Hadziabdic, M., Temmerman, L., Leschziner, M.: Merging LES and RANS strategies: zonal or seamless coupling? In: Friedrich, R., Gurts, B., Métais, O. (eds.) Direct and Large Eddy Simulation, no. V (Proceedings of the Fifth International ERCOFTAC Workshop on Direct and Large-Eddy Simulation held at the Munich University of Technology, Germany, August 27-29, 2004, ERCOFTAC), Series, vol. 9, pp. 451-464. Kluwer, Dordrecht (2004)
16. Horiuti, K., Yoshizawa, A.: Large-eddy simulation of turbulent channel flow by 1-equation model. In: Schumann, U., Friedrich, R. (eds.) Direct and Large-Eddy Simulation of Turbulence, Proc. EUROMECH Coll. No. 199, Munich, 1985. Notes Numer. Fluid Mech., vol. 15, pp. 119-134. Vieweg-Verlag, Wiesbaden (1986)
17. Hunt, J.C.R., Durbin, P.A.: Perturbed vortical layers and shear sheltering. Fluid Dyn. Res. 24, 375-404 (1999)
18. Jones, W.P., Launder, B.E.: The prediction of laminarization with a two-equation model of turbulence. Int. J. Heat Mass Transfer 15, 301-314 (1972)
19. Kassinos, S.C., Reynolds, W.C.: A structure-based model for the rapid distortion of homogeneous turbulence, Stanford University Report No. TF-61 (1994)
20. Kassinos, S.C., Reynolds, W.C., Rogers, M.M.: One-point turbulence structure tensors. J. Fluid Mech. 428, 213-248 (2001)
21. Kenjeres, S., Hanjalic, K.: LES, T-RANS and hybrid simulations of thermal convection at high Ra numbers. In: Rodi, W., Mulas, M. (eds.) Engineering Turbulence Modelling and Experiments, vol. 6, pp. 369-378. Elsevier (2005)
22. Knaepen, B, Carati, D.: Large eddy simulation of a shear-free turbulent mixing layer. Euromech Colloquium, vol. 412, LES of Complex Transitional and Turbulent Flows, Munich, Univ. of Technology, Oct. 4-6, 2000. Book Abstr., pp. 81-82 (2000)
23. Launder, B.E, Sharma, B.I.: Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc. Lett. Heal Mass Transf. 1, 131-138 (1974)
24. Le, H., Moin, P.: Direct numerical simulation of turbulent flow over a backward-facing step. Thermoscience Division Report No TF-58, Stanford University (1994)
25. Lesieur, M.: Turbulence in Fluids, 2nd ed. Kluwer (1987)
26. Lilly, D.K.: On the application of the eddy viscosity concept in the inertial subrange of turbulence, NCAR Manuscript 123 (1966)
27. Lilly, D.K. In: Herring, J.R., McWilliams, J.C. (eds.) «Lectures Notes on Turbulence», pp. 171-218. World Scientific (1987)
28. Magnaudet, J.: Modelling of inhomogeneous turbulence in the absence of mean velocity gradients. Appl. SCi. Res. 51, 525-531 (1993)
29. Meri, A., Wengle, H., Raddaoui, M., Chauve, M.-P., Schiestel, R.: Large-eddy simulation of non-equilibrium inflow conditions and of the spatial development of confined plane jet with co-flowing streams. In: Rodi, W., Laurence, D. (eds.) Engineering Turbulence Modelling and Experiments 4 (Proceedings of the 4th International Symposium on Engineering Turbulence Modelling and Measurements, Porticcio-Ajaccio, Corse, France, 24-26 mai 1999), pp 197-206. Elsevier, Amsterdam (1999)
30. Meri, A., Wengle, H., Schiestel, R.: DNS and LES of a backward-facing step flow using 2nd- and 4th-order spatial discretization and LES of the spatial development of mixing of turbulent streams with non-equilibrium inflow conditions. In: Hirschel, E.H. (ed.) Numerical Flow Simulation II, Notes Numer. Fluid Mech., vol. 75, pp. 268-287. Vieweg (2001)
31. Meri, A., Wengle, H., Dejoan, A., Védy, E., Schiestel, R.: Application of a 4th order Hermitian scheme for non-equidistant grids to LES and DNS of incompressible fluid flow. In: Hirschel, E.H. (ed.) 'Numerical Flow Simulation I', Notes Numer. Fluid Mech., vol. 66, pp. 382-406. Vieweg (1998)
32. Moin, P., Kim, J.: Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341-377 (1982)
33. Moin, P., Reynolds, W.C., Ferziger, J.H.: Large eddy simulation of incompressible turbulent channel flow. Stanford University Report No TF-12, Dept. Mech. Engineering. (1978)
34. τ= 590. Phys. Fluids 11(4), 943-945 (1999)
35. Na, Y., Moin, P.: Direct numerical simulation of turbulent boundary layers with adverse pressure gradient and separation, Thermoscience Division Report No. TF-68, Stanford University (1996)
36. Patel, V.C., Rodi, W., Scheuerer, G.: Turbulence models for near wall and low Reynolds number flows: A review. AIAA J. 23(9), 1308-1319 (1985)
37. Raddaoui, M., Schiestel, R., Chauve, M.P.: Le mélange d''echelles en écoulement turbulent non-cisaillé, C. R. Acad. Sci., Paris, t.328, Série II. pp. 247-253 (2000)
38. Roy, Ph.: Résolution des équations de Navier-Srakes par un schéma de haute précision en espace et en temps. La Recherche Aérospatiale 6, 373-385 (1980)
39. Schiestel, R.: Sur le concept d'échelles multiples en modélisation des écoulements turbulents I&II. J. Méc. Théor. Appl. 2(3), 417-449 and 2(4), 601-628 (1983)
40. Schiestel, R., Dejoan, A.: Towards a new partially integrated transport model for coarse grid and unsteady turbulent flow simulations. Theor. Comput. Fluid Dyn. 18(6), 443-468 (2005)
41. Schiestel, R., Viazzo, S.: A Hermitian-Fourier numerical method for solving the incompressible Navier-Stokes equations. Int. J. Comput. Fluid Dyn. 24(6), 739-752 (1995)
42. Schumann, U.: Subgrid-scale model for finite difference simulations of turbulent flows in plane channels and annuli. J. Comp. Phys. 24(6), 739-752 (1975)
43. Shao, L.: Etude d'une couche de m'elange turbulente non cisaillée par simulation des grandes échelles, Doctorat Thesis Dissertation, Ecole Centrale, Lyon, France (1992)
44. Shao, L., Bertoglio, J.-P., Michard, M.: Large eddy simulation of the interaction between two distinct turbulent velocity scales. Adv. Turbul. 3(3), 101-112 (1991)
45. Smagorinsky, J.: General circulation experiments with the primitive equations. Mon. Weather Rev. 91(3), 99-164 (1963)
46. Védy, E., Viazzo, S., Schiestel, R.: A high order finite difference method for incompressible fluid turbulence simulations. Int. J. Numer. Methods Fluids 42, 1155-1188 (2003)
47. Veeravalli, S., Warhaft, Z.: The shearless turbulence mixing layer. J. Fluid Mech. 207, 191-229 (1989)
48. Wengle, H., Schiestel, R., Befeno, I., Meri, A.: Large-eddy simulations of the spatial development of a shearless turbulence mixing layer. In: Hirschel, E.H., Heinrich, E. (eds.) 'Numerical Flow Simulation III'. Notes Numer. Fluid Mech.and Multidisciplinarity Design., vol. 82, pp. 271-286. Springer, Berlin Heidelberg New York (2003)
49. Zang, T.A.: Spectral methods for simulation of transition and turbulence. In: Canuto, C., Quarteroni, A. (eds.) Spectral and higher order Methods for partial differential equations, Proc. ICOSAHOM89 Conf., Como, Italy, 1989, pp. 209-221. North-Holland (1990)