Modeling turbulent flow over fractal trees with renormalized numerical simulation

Journal of Computational Physics

Volumn 225, Issue 1, 2007, Pages 427-448

  Chester, Stuart ^a   Meneveau, Charles ^a   Parlange, Marc B ^a,b  

^a Johns Hopkins University   (United States)

^b EPFL   (Switzerland)

Author keywords

Fractals; Large eddy simulation; Renormalized numerical simulation

Indexed keywords

DRAG COEFFICIENT; FRACTAL DIMENSION; NUMERICAL MODELS; REYNOLDS NUMBER;

DRAG FORCES; FRACTAL OBJECTS; FRACTAL TREES; HIGH REYNOLDS NUMBER FLOWS; IDEALISATION; LARGE-EDDY SIMULATIONS; LARGE-SCALES; LENGTH SCALE; RENORMALIZED NUMERICAL SIMULATION; SIMPLE++;

LARGE EDDY SIMULATION;

EID: 34447257685     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.12.009     Document Type: Article

References (61)

1. Shaw R.H., and Patton E.G. Canopy element influences on resolved- and subgrid-scale energy within a large-eddy simulation. Agr. Forest Meteorol. 115 (2003) 5-17
2. Kaandorp J.A., Koopman E.A., Sloot P.M.A., Bak R.P.M., Vermeij M.J.A., and Lampmann L.E.H. Simulation and analysis of flow patterns around the scleractinian coral Madracis mirabilis (Duchassaing and Michelotti). Phil. Trans. R. Soc. Lond. B 358 (2003) 1551-1557
3. S. Chang, G. Iaccarino, C. Elkins, J. Eaton, S. Monismith, A Computational and Experimental Investigation of Flow Inside Branched Coral Colony, in: Center for Turbulence Research Ann. Res. Briefs, NASA Ames/Stanford University, 2004, pp. 45-54.
4. van Ertbruggen C., and Paiva C.H.M. Anatomically based three-dimensional model of airways to simulate flow and particle transport using computational fluid dynamics. J. Appl. Physiol. 98 (2005) 970-980
5. Mauroy B., Filoche M., Weibel E.R., and Sapoval B. An optimal bronchial tree may be dangerous. Nature 427 (2004) 633-636
6. West G.B., Brown J.H., and Enquist B.J. A general model for the origin of allometric scaling laws in biology. Science 276 (1997) 122-126
7. Dykaar B.B., and Kitanidis P.K. Determination of the effective hydraulic conductivity for heterogeneous porous media using a numerical spectral approach. 1. Method. Water Resour. Res. 28 4 (1992) 1167-1178
8. Mandelbrot B.B. The Fractal Geometry of Nature (1982), W.H. Freeman, New York
9. Evertsz C.J., and Mandelbrot B.B. Harmonic measure around a linearly self-similar tree. J. Phys. A: Math. Gen. 25 (1992) 1781-1797
10. Sarkar K., and Meneveau C. Gradients of potential fields on rough surfaces: perturbative calculation of the singularity distribution function f(α) for small surface dimension. Phys. Rev. E 47 2 (1993) 957-966
11. Brady M., and Pozrikidis C. Diffusive transport across irregular and fractal walls. Proc. R. Soc. Lond. A 442 (1993) 571-583
12. Blyth M., and Pozrikidis C. Heat conduction across irregular and fractal-like surfaces. Int. J. Heat Mass Transfer 46 (2003) 1329-1339
13. Blunt M. Hydrodynamic force distribution on a fractal cluster. Phys. Rev. A 39 11 (1989) 5801-5806
14. Johnson D.L., Koplik J., and Dashen R. Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J. Fluid Mech. 176 (1987) 379-402
15. Koch D.L. Attenuation of a compressional sound wave in the presence of a fractal boundary. Phys. Fluids 30 10 (1987) 2922-2927
16. Pozrikidis C. Unsteady viscous flow over irregular boundaries. J. Fluid Mech. 255 (1993) 11-34
17. Meakin P., Chen Z.-Y., and Deutch J.M. The translational friction coefficient and time dependent cluster size distribution of three dimensional cluster-cluster aggregation. J. Chem. Phys. 82 8 (1985) 3786-3789
18. Adrover A., and Giona M. Hydrodynamic properties of fractals: application of the lattice Boltzmann equation to transverse flow past an array of fractal objects. Int. J. Multiphase Flow 23 (1997) 25-35
19. D. Queiros-Conde, J.C. Vassilicos, Turbulent wakes of 3D fractal grids, in: J.C. Vassilicos (Ed.), Intermittency in Turbulent Flows, 2001, pp. 136-167.
20. Staicu A., Mazzi B., Vassilicos J.C., and van de Water W. Turbulent wakes of fractal objects. Phys. Rev. E 67 (2003) 066306
21. Wilson N.R., and Shaw R.H. A higher-order closure model for canopy flow. J. Appl. Meteorol. 16 (1977) 1197-1205
22. Raupach M.R., and Thom A.S. Turbulence in and above plant canopies. Annu. Rev. Fluid Mech. 13 (1981) 97-129
23. Finnigan J. Turbulence in plant canopies. Annu. Rev. Fluid Mech. 32 (2000) 519-571
24. Maruyama T. Optimization of roughness parameters for staggered arrayed cubic blocks using experimental-data. J. Wind Eng. Ind. Aerodyn. 46-7 (1993) 165-171
25. Miyake Y., Tsujimoto K., and Agata Y. A DNS of a turbulent flow in a rough-wall channel using roughness elements model. JSME Int. J. Ser. B: Fluids Thermal Eng. 43 2 (2000) 233-243
26. Patton E.G., Shaw R.H., Judd M.J., and Raupach M.R. Large-eddy simulation of windbreak flow. Bound. Layer Meteor. 87 2 (1998) 275-306
27. Wilson J.D. Representing drag on unresolved terrain as a distributed momentum sink. J. Atmos. Sci. 59 9 (2002) 1629-1637
28. Cui J., Patel V.C., and Lin C.-L. Prediction of turbulent flow over rough surfaces using a force field in large eddy simulation. J. Fluids Eng. 125 (2003) 2-9
29. Verzicco R., Mohd-Yusof J., Orlandi P., and Haworth D. Large eddy simulation in complex geometric configurations using boundary body forces. AIAA J. 38 3 (2000) 427-433
30. Wilson K.G., and Kogut J. Renormalization group and the ε{lunate} expansion. Phys. Rep. 12C 2 (1974) 75-200
31. Yakhot A., Orszag S., Yakhot V., and Israeli M. Renormalization group formulation of large-eddy simulations. J. Sci. Comput. 4 (1989) 139-158
32. Smith L., and Woodruff S. Renormalization-group analysis of turbulence. Annu. Rev. Fluid Mech. 30 (1998) 275-310
33. Germano M., Piomelli U., Moin P., and Cabot W.H. A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3 (1991) 1760-1765
34. Lilly D.K. A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A 4 (1992) 633-635
35. Meneveau C., Lund T.S., and Cabot W.H. A Lagrangian dynamic subgrid-scale model of turbulence. J. Fluid Mech. 319 (1996) 353-385
36. Scotti A., and Meneveau C. Fractal model for coarse-grained nonlinear partial differential equations. Phys. Rev. Lett. 78 5 (1997) 867-870
37. Scotti A., and Meneveau C. A fractal model for large eddy simulation of turbulent flow. Physica D 127 3-4 (1999) 198-232
38. Barnsley M.F. Fractals Everywhere. second ed. (1993), Academic Press, London
39. Lyn D.A., Einav S., Rodi W., and Park J.-H. A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder. J. Fluid Mech. 304 (1995) 285-319
40. Smagorinsky J. General circulation experiments with the primitive equations: I. The basic experiment. Mon. Weather Rev. 91 (1963) 99-164
41. Meneveau C., and Katz J. Scale-invariance and turbulence models for large-eddy simulation. Annu. Rev. Fluid Mech. 32 (2000) 1-32
42. Mason P., and Thomson D. Stochastic backscatter in large-eddy simulations of boundary layers. J. Fluid Mech. 242 (1992) 51-78
43. Porté-Agel F., Meneveau C., and Parlange M.B. A scale-dependent dynamic model for large-eddy simulation: application to a neutral atmospheric boundary layer. J. Fluid Mech. 415 (2000) 261-284
44. Bou-Zeid E., Meneveau C., and Parlange M. A scale-dependent Lagrangian dynamic model for large eddy simulation of complex turbulent flows. Phys. Fluids 17 (2005) 025105
45. Albertson J.D., and Parlange M.B. Surface length scales and shear stress: implications for land-atmosphere interaction over complex terrain. Water Resour. Res. 35 7 (1999) 2121-2132
46. Peskin C.S. Flow patterns around heart valves: a numerical method. J. Comput. Phys. 10 (1972) 252-271
47. Fadlun E., Verzicco R., Orlandi P., and Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161 (2000) 35-60
48. Mittal R., and Iaccarino G. Immersed boundary methods. Annu. Rev. Fluid Mech. 37 (2005) 239-261
49. Tseng Y.-H., Meneveau C., and Parlange M.B. Modeling flow around bluff bodies and predicting urban dispersion using large eddy simulation. Environ. Sci. Technol. 40 (2006) 2653-2662
50. Ferziger J.H., and Péric M. Computational Methods for Fluid Dynamics (1999), Springer
51. Ferziger J.H. Numerical Methods for Engineering Application (1998), Wiley, Interscience
52. Bertolotti F.P., Herbert T., and Spalart P.R. Linear and nonlinear stability of the Blasius boundary layer. J. Fluid Mech. 242 (1992) 441-474
53. Schlatter P., Adams N., and Kleiser L. A windowing method for periodic inflow/outflow boundary treatment of non-periodic flows. J. Comput. Phys. 206 (2005) 505-535
54. W.F. Lindsey, Drag of Cylinders of Simple Shapes, Technical Report 619, NACA, 1938.
55. Lee B.E. The effect of turbulence on the surface pressure field of a square prism. J. Fluid Mech. 69 (1975) 263-282
56. Barenblatt G.I. Scaling, Self-similarity, and Intermediate Asymptotics (1996), Cambridge University Press, Cambridge
57. White F.M. Fluid Mechanics (1979), McGraw-Hill
58. Vickery B.J. Fluctuating lift and drag on a long cylinder of square cross-section in a smooth and in a turbulent stream. J. Fluid Mech. 25 (1966) 481-494
59. Cheng C.M., Lu P.C., and Chen R.H. Wind loads on square cylinder in homogeneous turbulent flows. J. Wind Eng. Ind. Aerodyn. 41 (1992) 739-749
60. Rodi W., Ferziger J., Breuer M., and Pourquie M. Status of large eddy simulation: results of a workshop. J. Fluids Eng. Trans. ASME 119 2 (1997) 248-262
61. Nakayama A., and Vengadesan S.N. On the influence of numerical schemes and subgrid-stress models on large eddy simulation of turbulent flow past a square cylinder. Int. J. Numer. Meth. Fluids 38 (2002) 227-253