Inertial consistent subgrid model for large-eddy simulation based on the lattice Boltzmann method

Physics of Fluids

Volumn 20, Issue 3, 2008, Pages

  Dong, Yu Hong ^a,b   Sagaut, Pierre ^b   Marie, Simon ^b,c  

^a SHANGHAI UNIVERSITY   (China)

^b INSTITUT JEAN LE ROND D ALEMBERT   (France)

^c TCR AVA 163   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; COMPUTER SIMULATION; KINETIC ENERGY; TURBULENCE; TURBULENT FLOW;

INERTIAL-RANGE (IR) CONSISTENT SMAGORINSKY MODEL; LATTICE BOLTZMANN METHOD;

LARGE EDDY SIMULATION;

BOLTZMANN EQUATION; COMPUTER SIMULATION; KINETIC ENERGY; LARGE EDDY SIMULATION; TURBULENCE; TURBULENT FLOW;

EID: 41849097389     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2842379     Document Type: Article

References (44)

1. S. Chen and G. D. Doolen, "Lattice Boltzmann method for fluid flows" Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.30.1.329 30, 329 (1998).
2. D. Yu, R. Mei, L. Luo, and W. Shyy, "Viscous flow computations with the method of lattice Boltzmann equation" Prog. Aerosp. Sci. PAESD60376-042110.1016/S0376-0421(03)00003-4 39, 329 (2003).
3. G. R. McNamara and G. Zanetti, "Use of the Boltzmann equation to simulate lattice-gas automata" Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.61.2332 61, 2332 (1988).
4. Y. Qian, D. d'Humieres, and P. Lallemand, "Lattice BGK models for Navier-Stokes equations" Europhys. Lett. EULEEJ0295-507510.1209/ 0295-5075/17/6/001 17, 479 (1992).
5. R. Benzi, S. Succi, and M. Vergassola, "The lattice Boltzmann equation: Theory and applications" Phys. Rep. PRPLCM0370-157310.1016/0370-1573(92)90090-M 222, 145 (1992).
6. H. Chen, S. Chen, and H. W. Matthaeus, "Recovery of the Navier-Stokes equation using a lattice Boltzmann method" Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.45.R5339 45, R5339 (1992).
7. R. Benzi and S. Succi, "Two-dimensional turbulence with the lattice Boltzmann equation" J. Phys. AJPHAC50305-447010.1088/0305-4470/23/1/ 001 23, L1 (1990).
8. R. Benzi, M. V. Struglia, and R. Tripiccione, "Extended self-similarity in numerical simulations of three-dimensional anisotropic turbulence" Phys. Rev. EPLEEE81063-651X 53, R5565 (1996).
9. J. M. G. Eggels, "Direct and large-eddy simulation of turbulent fluid flow using the lattice Boltzmann scheme" Int. J. Heat Fluid FlowI JHFD20142-727X10.1016/0142-727X(96)00044-6 17, 307 (1996).
10. S. Hou, J. Sterling, S. Chen, and G. D. Doolen, "A lattice Boltzmann subgrid model for high Reynolds number flows," in Pattern Formation and Lattice Gas Automata, edited by A. T. Lawniczak and R. Kapral, Fields Institute Communications Vol. 6 (AMS, Providence, 1996), pp. 151-166.
11. M. Krafczyk, J. Tölke, and L. S. Luo, "Large-eddy simulations with a multiple-relaxation time LBE model" Int. J. Mod. Phys. BIJPBEV0217-979210.1142/S0217979203017059 17, 33 (2003).
12. G. K. Batchelor and A. A. Townsend, "Decay of turbulence in the final period" Proc. R. Soc. London, Ser. APRLAAZ1364-5021 194, 527 (1948).
13. P. G. Saffman, "The large scale structure of homogenous turbulence" J. Fluid Mech. JFLSA70022-112010.1017/S0022112067000552 27, 581 (1967).
14. S. A. Orszag and G. S. Patterson, "Numerical simulation of three-dimensional homogeneous isotopic turbulence" Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.28.76 28, 76 (1972).
15. M. S. Mohamed and J. C. LaRue, "The decay power law in grid-generated turbulence," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112090002919 219, 195 (1990).
16. N. N. Mansour and A. A. Wray, "Decay of isotropic turbulence at low Reynolds number" Phys. Fluids PHFLE61070-663110.1063/1.868319 6, 808 (1994).
17. C. Seror, P. Sagaut, C. Bailly, and D. Juvé, "Subgrid-scale contribution to noise production in decaying turbulence" AIAA J. AIAJAH0001-1452 38, 1795 (2000).
18. M. Oberlack, "On the decay exponent of isotropic turbulence" Proc. Appl. Math. Mech. ZZZZZZ1617-7061 1, 294 (2002).
19. P. Sagaut and V. Levasseur, "Sensitivity of spectral variational multiscale methods for large-eddy simulation of isotropic turbulence" Phys. Fluids PHFLE61070-663110.1063/1.1863243 17, 035113 (2005).
20. P. Sagaut and M. Ciardi, "A finite-volume variational multiscale method coupled with a discrete interpolation filter for LES of isotropic turbulence and fully developed channel flow" Phys. Fluids PHFLE61070-663110.1063/1.2391133 18, 115101 (2006).
21. L. Djenidi, "Lattice Boltzmann simulation of grid-generated turbulence" J. Fluid Mech. JFLSA70022-112010.1017/S002211200600869X 552, 13 (2006).
22. P. Burattini, P. Lavoie, A. Agrawal, L. Djenidi, and R. A. Antonia, "Power law of decaying homogeneous isotropic turbulence at low Reynolds number" Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.73.066304 73, 066304 (2006).
23. H. Yu, S. S. Girimaji, and L. S. Luo, "DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann methods," J. Comput. Phys.JCTPAH0021-999110.1016/ j.jcp.2005.03.022 209, 599 (2005).
24. K. Lee, D. Z. Yu, and S. S. Girimaji, "Lattice Boltzmann DNS of decaying compressible isotropic turbulence with temperature fluctuations," Int. J. Comput. Fluid Dyn.IJCFEC1061-856210.1080/ 10618560601001122 20, 401 (2006).
25. D. Z. Yu and S. S. Girimaji, "Direct numerical simulations of homogeneous turbulence subject to periodic shear" J. Fluid Mech. JFLSA70022-112010.1017/S0022112006001832 566, 117 (2006).
26. S. S. Girimaji, "Boltzmann kinetic equation for filtered fluid turbulence" Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.99.034501 99, 034501 (2007).
27. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, "A dynamic subgrid-scale model" Phys. Fluids APFADEB0899-821310.1063/1.857955 3, 1760 (1991).
28. P. Sagaut, Large Eddy Simulation for Incompressible Flows: An Introduction, 3rd ed. (Springer, Berlin, 2005).
29. J. Meyers and P. Sagaut, "On the model coefficients for the standard and the variational multi-scale Smogorisky model" J. Fluid Mech. JFLSA70022-112010.1017/S0022112006002850 569, 287 (2006).
30. J. Meyers, P. Sagaut, and B. Geurts, "Optimal model parameters for multi-objective large-eddy simulations" Phys. Fluids PHFLE61070-663110.1063/1.2353402 18, 095103 (2006).
31. H. S. Kang, S. Chester, and C. Meneveau, "Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation" J. Fluid Mech. JFLSA70022-112010.1017/S0022112002003579 480, 129 (2003).
32. P. L. Bhatnagar, E. P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems" Phys. Rev. PHRVAO0031-899X10.1103/ PhysRev.94.511 94, 511 (1954).
33. S. Chen, Z. Wang, X. Shan, and G. D. Doolen, "Lattice Boltzmann computational fluid dynamics in three dimensions" J. Stat. Phys. JSTPBS0022-471510.1007/BF01341754 68, 379 (1992).
34. A. N. Kolmogorov, "On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid" Dokl. Akad. Nauk SSSRDANKAS0002-3264 31, 538 (1941).
35. J. Smagorinsky, "General circulation experiments with the primitive equations. I: The basic experiment," Mon. Weather Rev.MWREAB0027-064410.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2 91, 99 (1963).
36. D. K. Lilly, "The representation of small-scale turbulence in numerical simulation experiments," in Proceedings of the IBM Science Computing Symposium on Environmental Science, edited by H. H. Goldstine (T. J. Watson Research Center, Yorktown Heights, 1967), pp. 195-210.
37. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
38. R. Mei, L. S. Luo, P. Lallemand, and D. d'Humieres, "Consistent initial conditions for lattice Boltzmann simulations" Comput. Fluids CPFLBI0045-793010.1016/j.compfluid.2005.08.008 35, 857 (2006).
39. P. A. Skordos, "Initial and boundary conditions for the lattice Boltzmann method" Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.48.4823 48, 4823 (1993).
40. G. Comte-Bellot and S. Corssin, "The use of a contraction to improve the isotropy grid-generated turbulence" J. Fluid Mech. JFLSA70022-112010.1017/S0022112066000338 25, 657 (1966).
41. λ" Exp. Fluids EXFLDU0723-486410.1007/ s00348-005-0022-8 39, 865 (2005).
42. W. K. George, "The decay of homogeneous isotropic turbulence" Phys. Fluids APFADEB0899-821310.1063/1.858423 4, 1492 (1992).
43. N. N. Mansour and A. A. Wray, "Decay of isotropic turbulence at low Reynolds number" Phys. Fluids PHFLE61070-663110.1063/1.868319 6, 808 (1994).
44. S. Tavoulari, J. C. Bennett, and S. Corrsin, "Velocity-derivative skewness in small Reynolds number, nearly isotropic turbulence" J. Fluid Mech. JFLSA70022-112010.1017/S0022112078001986 88, 63 (1978).