A dynamic multi-scale approach for turbulent inflow boundary conditions in spatially developing flows

Journal of Fluid Mechanics

Volumn 670, Issue , 2011, Pages 581-605

  Araya, Guillermo ^a   Castillo, Luciano ^b   Meneveau, Charles ^a   Jansen, Kenneth ^b  

^a Johns Hopkins University   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

turbulence modelling; turbulence simulation; turbulent boundary layers

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; DIRECT NUMERICAL SIMULATION; NUMERICAL METHODS; NUMERICAL MODELS; PRESSURE GRADIENT; RECYCLING; TURBULENCE; TURBULENCE MODELS; TURBULENT FLOW;

ADVERSE PRESSURE GRADIENT FLOWS; COMPUTATIONAL DOMAINS; INFLOW BOUNDARY CONDITIONS; MULTI-SCALE APPROACHES; SPATIALLY DEVELOPING TURBULENT BOUNDARY LAYERS; TURBULENCE SIMULATION; TURBULENCE TRANSITION; TURBULENT BOUNDARY LAYERS;

ATMOSPHERIC THERMODYNAMICS;

BOUNDARY CONDITION; LAMINAR-TURBULENT TRANSITION; NUMERICAL MODEL; TURBULENT BOUNDARY LAYER; TURBULENT FLOW;

EID: 79952772147     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010005616     Document Type: Article

References (47)

1. Araya, G. 2008 DNS of turbulent wall bounded flows with a passive scalar. PhD thesis, Rensselaer Polytechnic Institute, Troy, NY.
2. Araya, G., Jansen, K. & Castillo, L. 2009 Inlet condition generation for spatially-developing turbulent boundary layers via multi-scale similarity. J. Turbul. 10 (36), 1-33.
3. Balakumar, B. J. & Adrian, R. 2007 Large- and very-large-scale motions in channel and boundary-layer flows. Phil. Trans. R. Soc. A 365, 665-681.
4. Castillo, L. & George, W. K. 2001 Similarity analysis for turbulent boundary layer with pressure gradient: outer flow. AIAA J. 39 (1), 41-47. (Pubitemid 32872421)
5. DeGraaff, D. B. & Eaton, J. K. 2000 Reynolds-number scaling of the flat-plate turbulent boundary layer. J. Fluid Mech. 422, 319-346. (Pubitemid 36154669)
6. Ferrante, A. & Elghobashi, S. 2004 A robust method for generating inflow conditions for direct simulations of spatially-developing turbulent boundary layers. J. Comput. Phys. 198, 372-387. (Pubitemid 38881886)
7. Ferrante, A. & Elghobashi, S. 2005 Reynolds number effect on drag reduction in a microbubble-laden spatially developing turbulent boundary layer. J. Fluid Mech. 543, 93-106. (Pubitemid 41700040)
8. George, W. K. & Castillo, L. 1997 Zero-pressure-gradient turbulent boundary layer. Appl. Mech. Rev. 50, 689-729.
9. Germano, M., Piomelli, U., Moin, P. & Cabot, W. H. 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760-1765.
10. Guala, M., Hommema, S. E. & Adrian, R. 2006 Large-scale and very-large-scale motions in turbulent pipe flow J. Fluid Mech. 554, 521-542.
11. Hutchins, N. & Marusic, I. 2007a Evidence of very long meandering structures in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1-28. (Pubitemid 47307197)
12. Hutchins, N. & Marusic, I. 2007b Large-scale influences in near-wall turbulence. Phil. Trans. R. Soc. A 365, 647-664.
13. Jansen, K. E. 1999 A stabilized finite element method for computing turbulence. Comput. Meth. Appl. Mech. Engng 174, 299-317. (Pubitemid 29421321)
14. Jones, W. P. & Launder, B. E. 1972 Some properties of sink-flow turbulent boundary layers. J. Fluid Mech. 56, 337-351.
15. Kays, W. M. & Crawford, M. E., 1993 Convective Heat and Mass Transfer, 3rd edn. McGraw-Hill.
16. Keating, A., Piomelli, U., Balaras, E. & Kaltenbach, H. 2004 A priori and a posteriori tests of inflow conditions for large-eddy simulation. Phys. Fluids 16 (12), 4696-4712. (Pubitemid 41015849)
17. Kempf, A., Klein, M. & Janicka, J. 2005 Efficient generation of initial- and inflow-conditions for transient turbulent flows in arbitrary geometries. Flow Turbul. Combust. 74, 67-84. (Pubitemid 40666385)
18. Khujadze, G. & Oberlack, M. 2004 DNS and scaling laws from new symmetry groups of ZPG turbulent boundary layer flow. Theor. Comput. Fluid Dyn. 18, 391-411. (Pubitemid 39653703)
19. Kim, J. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 129, 133-166. (Pubitemid 17583594)
20. Klein, M., Sadiki, A. & Janicka, J. 2002 A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations. J. Comput. Phys. 186, 652-665.
21. Kong, H., Choi, H. & Lee, J. 2000 Direct numerical simulation of turbulent thermal boundary layers. Phys. Fluids 12 (10), 2555-2568.
22. Le, H. & Moin, P. 1994 Direct numerical simulation of turbulent flow over a backward-facing step. Rep. TF-58. Thermosciences Division, Department of Mechanical Engineering, Stanford University.
23. Lee, J. & Sung, H. 2008 Effects of an adverse pressure gradient on a turbulent boundary layer. Intl J. Heat Fluid Flow 29 (3), 568-578.
24. Lee, S., Lele, S. & Moin, P. 1992 Simulation of spatially evolving turbulence and the applicability of Taylor's hypothesis in compressible flow. Phys. Fluids A 4, 1521-1530.
25. Lund, T. S., Wu, X. & Squires, K. D. 1998 Generation of turbulent inflow data for spatially-developing boundary layer simulations. J. Comput. Phys. 140, 233-258. (Pubitemid 128346379)
26. Mathis, R., Hutchins, N. & Marusic, I. 2009 Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. J. Fluid Mech. 628, pp. 311-337.
27. Moin, P. & Mahesh, K. 1998 Direct numerical simulation: a tool in turbulence research. Annu. Rev. Fluid Mech. 30, 539-578.
28. Na, Y. & Moin, P. 1998 The structure of wall-pressure fluctuations in turbulent boundary layers with adverse pressure gradient and separation. J. Fluid Mech. 377, 347-373. (Pubitemid 128492985)
29. Osterlund, J. M. 1999 Experimental studies of zero pressure-gradient turbulent boundary-layer flow. PhD thesis, Royal Institute of Technology, Stockholm, Sweden.
30. Park, J. & Choi, H. 1999 Effects of uniform blowing or suction from a spanwise slot on a turbulent boundary layer flow. Phys. Fluids 11 (10), 3095-3105. (Pubitemid 129304615)
31. Perry, A. E., Marusic, I. & Jones, M. B. 2002 On the streamwise evolution of turbulent boundary layers in arbitrary pressure gradients. J. Fluid Mech. 461, 61-91.
32. Rai, M. & Moin, P. 1993 Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer. J. Comput. Phys. 109, 169-192.
33. θ = 2500 studied through simulation and experiment. Phys. Fluids 21 (5), 1070-6631.
34. Simens, M. P., Jimenez, J., Hoyas, S. & Mizuno, Y. 2009 A high-resolution code for turbulent boundary layers. J. Comput. Phys. 228 (11), 4218-4231.
35. Skote, M. 2001 Studies of turbulent boundary layer flow through direct numerical simulation. PhD thesis, Royal Institute of Technology, Stockholm, Sweden.
36. Smith, C. R. & Metzler, S. P. 1983 The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer. J. Fluid Mech. 129, 27-54. (Pubitemid 13559185)
37. Smits, A. J., Matheson, N. & Jourbert, P. N. 1983 Low-Reynolds-number turbulent boundary layers in zero and favorable pressure gradients. J. Ship Res. 27 (3), 147-157. (Pubitemid 14452376)
38. Spalart, P. R. 1986 Numerical study of sink-flow boundary layers. J. Fluid Mech. 172, 172-307.
39. Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Reθ = 1410. J. Fluid Mech. 187, 61-98.
40. Spalart, P. R. & Leonard, A. 1985 Direct numerical simulation of equilibrium turbulent boundary layers. In Proceedings of the 5th Symposium on Turbulent Shear Flows, Pennsylvania State University, University Park, PA (ed. F. Durst, B. E. Launder, J. L. Lumley, F W. Schmidt & J. H. Whitelaw), pp. 935-940. Springer.
41. Tejada-Martinez, A. E. & Jansen, K. E. 2005 On the interaction between dynamic model dissipation and numerical dissipation due to streamline upwind/Petrov-Galerkin stabilization. Comput. Meth. Appl. Mech. Engng 194, 1225-1248. (Pubitemid 40133567)
42. Tejada-Martinez, A. E. & Jansen, K. E. 2006 A parameter-free dynamic subgrid-scale model for large-eddy simulation. Comput. Meth. Appl. Mech. Engng 195, 2919-2938.
43. Trofima, A. V., Tejada-Martinez, A. E., Jansen, K. E. & Lahey, R. T. 2009 Direct numerical simulation of turbulent channel flows using a stabilized finite element method. Comput. Fluids 38, 924-938.
44. White, F. M. 1974 Viscous Fluid Flow, 1st edn. McGraw-Hill.
45. Whiting, C. H. & Jansen, K. E. 2001 A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis. Intl J. Numer. Meth. Fluids 35, 93-116. (Pubitemid 32175047)
46. Wu, X. & Moin, P. 2009 Direct numerical simulation of turbulence in a nominally zero-pressure-gradient flat-plate boundary layer. J. Fluid Mech. 630, 5-41.
47. Xu, S. & Martin, M. P. 2004 Assessment of inflow boundary conditions for compressible turbulent boundary layers. Phys. Fluids 16 (7), 2623-2639. (Pubitemid 38958034)