Theoretically based optimal large-eddy simulation

Physics of Fluids

Volumn 21, Issue 10, 2009, Pages

  Moser, Robert D ^a,b   Malaya, Nicholas P ^b   Chang, Henry ^a   Zandonade, Paulo S ^c   Vedula, Prakash ^d   Bhattacharya, Amitabh ^e   Haselbacher, Andreas ^f  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b The University of Texas at Austin   (United States)

^c University of Illinois at Urbana Champaign   (United States)

^d University of Oklahoma   (United States)

^e University of Pittsburgh   (United States)

^f J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

TURBULENCE; TURBULENT FLOW;

CORRELATION DATA; DYNAMIC SMAGORINSKY MODELS; ENGINEERING ANALYSIS; ISOTROPIC TURBULENCE; MODEL ASSUMPTIONS; MULTI-POINT CORRELATIONS; QUASINORMAL APPROXIMATION; STATISTICAL DATAS;

LARGE EDDY SIMULATION;

EID: 71049131124     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3249754     Document Type: Article

References (37)

1. R. Rogallo and P. Moin, "Numerical simulation of turbulent flows," Annu. Rev. Fluid Mech. 16, 99 (1984).
2. M. Lesieur and O. Métais, "New trends in large-eddy simulations of turbulence," Annu. Rev. Fluid Mech. 28, 45 (1996).
3. C. Meneveau and J. Katz, "Scale-invariance and turbulence models for large-eddy simulation," Annu. Rev. Fluid Mech. 32, 1 (2000).
4. K. R. Sreenivasan and R. A. Antonia, "The phenomenology of small-scale turbulence," Annu. Rev. Fluid Mech. 29, 435 (1997).
5. S. Ghosal, "An analysis of numerical errors in large-eddy simulations of turbulence," J. Comput. Phys. 125, 187 (1996).
6. A. G. Kravchenko and P. Moin, "On the effect of numerical errors in large eddy simulations of turbulent flows," J. Comput. Phys. 131, 310 (1997).
7. U. Piomelli and E. Balaras, "Wall-layer models for large-eddy simulations," Annu. Rev. Fluid Mech. 34, 349 (2002).
8. J. A. Langford and R. D. Moser, "Optimal LES formulations for isotropic turbulence," J. Fluid Mech. 398, 321 (1999).
9. J. A. Langford and R. D. Moser, "Optimal large-eddy simulation results for isotropic turbulence," J. Fluid Mech. 521, 273 (2004).
10. S. Volker, P. Venugopal, and R. D. Moser, "Optimal large eddy simulation of turbulent channel flow based on direct numerical simulation statistical data," Phys. Fluids 14, 3675 (2002).
11. P. S. Zandonade, J. A. Langford, and R. D. Moser, "Finite-volume optimal large-eddy simulation of isotropic turbulence," Phys. Fluids 16, 2255 (2004).
12. D. Carati, G. S. Winckelmans, and H. Jeanmart, "On the modelling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulation," J. Fluid Mech. 441, 119 (2001).
13. T. J. R. Hughes, L. Mazzei, A. A. Oberai, and A. A. Wray, "The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence," Phys. Fluids 13, 505 (2001).
14. T. J. R. Hughes, A. A. Oberai, and L. Mazzei, "Large eddy simulation of turbulent channel flows by the variational multiscale method," Phys. Fluids 13, 1784 (2001).
15. H. Chang and R. D. Moser, "An inertial range model for the three-point third-order velocity correlation," Phys. Fluids 19, 105111 (2007).
16. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
17. R. Adrian, B. Jones, M. Chung, Y. Hassan, C. Nithianandan, and A. Tung, "Approximation of turbulent conditional averages by stochastic estimation," Phys. Fluids A 1, 992 (1989).
18. R. Adrian, "On the role of conditional averages in turbulence theory," in Turbulence in Liquids, edited by J. Zakin and G. Patterson (Science, Princeton, NJ, 1977), pp. 323-332.
19. R. Adrian, "Stochastic estimation of sub-grid scale motions," Appl. Mech. Rev. 43, S214 (1990).
20. A. Das and R. D. Moser, "Optimal large eddy simulation of forced Burgers' equation," Phys. Fluids 14, 4344 (2002).
21. J. A. Langford and R. D. Moser, "Breakdown of continuity in large-eddy simulation," Phys. Fluids 13, 1524 (2001).
22. 3s〉.
23. A. N. Kolmogorov, "The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers," C. R. Acad. Sci. URSS 30, 301 (1941) [reprinted in Proc. R. Soc. London, Ser. A 434, 9 (1991)].
24. A. N. Kolmogorov, "Dissipation of energy in locally isotropic turbulence," Dokl. Akad. Nauk SSSR 32, 16 (1941) [reprinted in Proc. R. Soc. London, Ser. A 434, 15 (1991)].
25. T. von Kármán and L. Howarth, "On the statistical theory of isotropic turbulence," Proc. R. Soc. London, Ser. A 164, 192 (1938).
26. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953), p. 53.
27. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence (Dover, New York, 1975), Vol. II, p. 70.
28. R. H. Kraichnan, "Relation of fourth-order to second-order moments in stationary isotropic turbulence," Phys. Rev. 107, 1485 (1957).
29. Y. Ogura, "A consequence of the zero-fourth-cumulant approximation in the decay of isotropic turbulence," J. Fluid Mech. 16, 33 (1963).
30. S. Orszag, "Analytical theories of turbulence," J. Fluid Mech. 41, 363 (1970).
31. M. Lesieur, Turbulence in Fluids, 3rd ed. (Kluwer Academic, Dordrecht, 1997).
32. P. Vedula, R. D. Moser, and P. S. Zandonade, "On the validity of quasinormal approximation in turbulent channel flow," Phys. Fluids 17, 055106 (2005).
33. I. Proudman and W. H. Reid, "On the decay of a normally distributed and homogeneous turbulent velocity field," Philos. Trans. R. Soc. London, Ser. A 247, 163 (1954).
34. J. Berntsen, T. O. Espeld, and A. Genz, "DCUHRE: An adaptive multidimensional integration routine for a vector of integrals," ACM Trans. Math. Softw. 17, 452 (1991).
35. M. Germano, U. Piomelli, P. Moin, and W. Cabot, "A dynamic subgridscale eddy viscosity model," Phys. Fluids A 3, 1760 (1991).
36. F. Harlow and J. Welch, "Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface," Phys. Fluids 8, 2182 (1965).
37. A. Bhattacharya, S. Kassinos, and R. D. Moser, "Representing anisotropy of two-point second-order turbulence velocity correlations using structure tensors," Phys. Fluids 20, 101502 (2008).