A fractal model for large eddy simulation of turbulent flow

Physica D: Nonlinear Phenomena

Volumn 127, Issue 3-4, 1999, Pages 198-232

  Scotti, A ^a,b   Meneveau, C ^a  

^a Johns Hopkins University   (United States)

^b WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

Author keywords

Fractal; Large eddy simulation; Turbulence modeling

Indexed keywords

EID: 0001635298     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00266-8     Document Type: Article

References (68)

1. A.-L. Barabasi, G.T. Dewey, H.E. Stanley, J. Am. Chem. Soc. 117 (1995).
2. J. Bardina, J.H. Ferziger, W.C. Reynolds, Improved subgrid scale models for large eddy simulation, AIAA paper (1980) 80-1357.
3. M.F. Barnsley, Fractal functions and interpolation, Constr. Approx. 2 (1986) 303-329.
4. M.F. Barnsley, Fractals Everywhere, Academic Press, Boston, 1988.
5. G.K. Batchelor, The Theory of Homogeneous Turbulence, Cambridge University Press, Cambridge, 1953.
6. R. Benzi, L. Biferale, A. Crisanti, G. Paladin, M. Vergassola, A. Vulpiani, Physica D 65 (1993) 352-358.
7. M. Briscolini, P. Santangelo, Numerical simulation of three-dimensional homogeneous isotropic flows, in: P. Messind, A. Murli (Eds.), Proc. Conf. on Parallel Computing, Elsevier, Amsterdam, 1992.
8. M. Briscolini, P. Santangelo, The non-Gaussian statistics of the velocity field in low-resolution large-eddy simulations of homogeneous turbulence, J. Fluid Mech. 270 (1994) 199-217.
9. J.M. Burger, The Nonlinear Diffusion Equation. Asymptotic Solutions and Statistical Problems, Reidel, Dordrecht, 1974.
10. C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics, Springer, Berlin, 1987.
11. S. Cerutti, C. Meneveau, Intermittency and relative scaling of subgrid - scale energy dissipation in isotropic turbulence, Phys. Fluids 10 (1998) 928-937.
12. C. Cercignani, The Boltzmann Equation and its Applications. Springer, Berlin, 1988.
13. M. Chen, A. Miranville, R. Temam, Incremental unknowns in finite differences in 3 space dimensions, Comp. Appl. Math. 14 (1995) 219-252.
14. A. Chekhlov, V. Yakhot, Phys. Rev. E 51 (1995) R2739.
15. G. Comte-Bellot, S. Corrsin, Simple Eulerian time correlation of full and narrow-band velocity signals in grid-generated "isotropic" turbulence, J. Fluid Mech. 48 (1971) 273-337.
16. J.W. Deardorff, A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers, J. Fluid Mech. 41 (1970) 453.
17. C. Doering, P. Constantin, Physica D 82 (1995) 221-228.
18. J. Dongarra, J. DuCroz, S. Hammarling, R. Hanson, An extended set of Fortran Basic Linear Algebra Subroutines, ACM Trans. Math. Soft. 14 (1998) 1-32.
19. J.A. Domaradzki, E.M. Saiki, A subgrid-scale model based on the estimation of unresolved scales of turbulence, Phys. Fluids 9 (1997) 1-17.
20. B. Dubuc, J.F. Quiniou, C. Roques-Carmes, C. Tricot, S.W. Zucker, Evaluating the fractal dimension of profiles, Phys. Rev. A 39 (1989) 1500.
21. T. Dubois, F. Jauberteau, Y. Zhou, Influences of subgrid scale dynamics on resolvable scale statistics in large-eddy simulations, Physica D 100 (1997) 390-406.
22. G. Eyink, Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer, Physica D 78 (1994) 222-240.
23. J. Feder, Fractals, Plenum press, New York, 1988.
24. C.A.J. Fletcher, Computational Techniques for Fluid Dynamics, Springer, New York, 1988.
25. J.C.H. Fung, J.C.R. Hunt, N.A. Malik, R.J. Perkins, Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes, J. Fluid Mech. 236 (1992) 281-318.
26. M. Germano, Turbulence: the filtering approach, J. Fluid Mech. 238 (1992) 325.
27. J.R. Herring, Subgrid scale modeling - an introduction and overview, in: F. Durst, B.E. Launder, F.W. Schmidt, J.H. Whitelaw (Eds.), Turbulent Shear Flows I, Springer, Berlin, 1979.
28. J.O. Hinze, Turbulence, McGraw-Hill, New York, 1975.
29. A. Juneja, D.P. Lathrop, K.R. Sreenivasan, G. Stolovitzky, Synthetic turbulence, Phys. Rev. E 49 (1994) 5179-5194.
30. A.R. Kerstein, A linear-eddy model of turbulent scalar transport and mixing, Combust. Sci. Tech. 60 (1988) 391-421.
31. A.N. Kolmogorov, The local structure of turbulence in incompressible viscous fluid for very large Reynolds number, C.R. Acad. Sci. U.S.S.R. 30 (1941) 301.
32. A.N. Kolmogorov, A refinement of previous hypothesis concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number, J. Fluid Mech. 62 (1962) 82.
33. R.H. Kraichnan, Eddy viscosity in two and three dimensions, J. Atmos. Sci. 33 (1976) 1521.
34. L.D. Landau, E.M. Lifshitz, Fluid Mechanics, Pergamon Press, Oxford, 1987.
35. C.E. Leith, Stochastic backscatter is a subgrid-scale model: plane shear mixing layer, Phys. Fluids A 2 (1990) 297-299.
36. A. Leonard, Energy cascade in large-eddy simulations of turbulent fluid flows, Adv. Geophys. 18 (1974) 237 .
37. M. Lesieur, Turbulence in Fluids, Martinus Nijhoff, Dordrecht, 1987.
38. M. Lesieur, O. Métais, New trends in large eddy simulations of turbulence, Annu. Rev. Fluid. Mech. 28 (1996) 45-82.
39. D.K. Lilly, A proposed modification of the Germano subgrid scale closure method, Phys. Fluids A 4 (1992) 633.
40. S. Liu, C. Meneveau, J. Katz, On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet, J. Fluid Mech. 275 (1994) 83-91.
41. S. Liu, C. Meneveau, J. Katz, Experimental study of similarity subgrid-scale models of turbulence in the far-field of a jet, Appl. Sci. Res. 54 (1995) 177-190.
42. B.B. Mandelbrot, The Fractal Geometry of Nature, Freeman, New York, 1982.
43. B.B. Mandelbrot, J.W. Van Ness, Fractional brownian motions, fractional noises and applications, SIAM Rev. 10 (1968) 422-437.
44. P.J. Mason, Large-eddy simulation: A critical review of the technique, Q.J.R. Meteorol. Soc. 120 (1994) 1-26.
45. C. Meneveau, Statistics of turbulence subgrid-scale stresses: Necessary conditions and experimental tests, Phys. Fluids A 6 (1994) 815-833.
46. C. Meneveau, T. Lund, W. Cabot, A Lagrangian dynamic subgrid-scale model of turbulence, J. Fluid Mech. 319 (1996) 353-385.
47. C. Meneveau, K.R. Sreenivasan, The multifractal nature of turbulent energy dissipation, J. Fluid Mech. 224 (1991) 429.
48. P. Moin, K. Manesh, Direct numerical simulation: A tool in turbulent research, Annu. Rev. Fluid Mech. 30 (1998) 539-578.
49. A. Misra, D.I. Pullin, A vortex-based subgrid stress model for large-eddy simulation, Phys. Fluids 8 (1997) 2443-2454.
50. A.M. Oboukhov, Some specific features of atmospheric turbulence, J. Fluid Mech. 62 (1962) 77.
51. L. Onsager, Reciprocal relations in irreversible processes. I, Phys. Rev. 37 (1931) 405-426.
52. S. Orey, Gaussian sample functions and the Hausdorff dimension of level crossings, Z. Wahrscheinlichkeitstheorie verw. Geb. 15 (1970) 249-256.
53. U. Piomelli, W. Cabot, P. Moin, S. Lee, Subgrid-scale backscatter in turbulent and transitional flows, Phys. Fluid A 3 (1991) 1766-1771.
54. U. Piomelli, S. Ragab (Eds.), Engineering applications of Large Eddy Simulations, ASME-FED 162 (1993).
55. U. Piomelli, Y. Yunfang, R.J. Adrian, Subgrid-scale energy transfer and near-wall turbulence structure, Phys. Fluids 8 (1996) 215-224.
56. R.R. Prasad, C. Meneveau, K.R. Sreenivasan. The multifractal nature of the dissipation field of passive scalars in fully turbulent flows, Phys. Rev. Lett. 61 (1988) 74-77.
57. A.A. Praskovsky, W.F. Dabberdt, E.A. Praskovskaya, W.G. Hoydysh, O. Holynskyj, Fractal geometry of isoconcentration surfaces in a smoke plume, J. Atmos. Sci. 53 (1996) 5-21.
58. I. Procaccia, A. Brandenburg, M.H. Jensen, A. Vincent, The fractal dimension of iso-vorticity structures in 3-dimensional turbulence, Europhys. Lett. 19 (1992) 183-187.
59. W.C. Reynolds, The potential and limitations of direct and large eddy simulations, in: J.L. Lumley (Ed.), Whither Turbulence? or Turbulence at Crossroads, 1990, p. 313.
60. K. Schneider, N.K.-R. Kevlahan, M. Farge, Comparison of an adaptive wavelet method and nonlinearly filtered pseudospectral methods for two-dimensional turbulence, Theoret. Comput. Fluid Dynamics 9 (1997) 191-206.
61. A. Scotti, On scale-invariance based models of hydrodynamic turbulence, Ph.D. Thesis, Baltimore, 1998.
62. A. Scotti, C. Meneveau, Fractal model for coarse-grained nonlinear partial differential equations, Phys. Rev. Lett. 78 (1997) 867-870.
63. A. Scotti, C. Meneveau, S. Saddoughi, Fractal dimension of velocity signals in high-Reynolds number hydrodynamic turbulence, Phys. Rev. E 51 (1995) 5594-5608.
64. J. Smagorinsky General circulation experiments with the primitive equations. I. The basic experiment, Mon. Weather Rev. 91 (1963) 99.
65. K.R. Sreenivasan, C. Meneveau, The fractal facets of turbulence, J. Fluid Mech. 173 (1986) 357-386.
66. G.S. Winckelmans, T.S. Lund, D. Carati, A.A. Wray. A priori testing of subgrid-scale models for the velocity-pressure and vorticity-velocity formulations, in: Studying turbulence using numerical simulation databases - VI, CTR Summer Program Proceedings, 1996.
67. Y. Zang, R.L. Street, J.R. Koseff, A dynamic mixed subgrid scale model and its application to turbulent recirculating flows, Phys. Fluids 5 (1993) 3186-3196.
68. Y. Zhou, G. Vahala, Reformulation of recursive-renormalization-group-based subgrid modeling of turbulence, Phys. Rev. E 47 (1993) 2503-2519.