The nonlinear large-eddy simulation method applied to Sc ≈ 1 and Sc > 1 passive-scalar mixing

Physics of Fluids

Volumn 20, Issue 3, 2008, Pages

  Burton, Gregory C ^a,b  

^a STANFORD UNIVERSITY   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY TRANSFER; MIXING; NAVIER STOKES EQUATIONS; TURBULENT FLOW;

MULTIFRACTAL MODELS; PASSIVE-SCALAR MIXING; SCHMIDT NUMBER;

LARGE EDDY SIMULATION;

ENERGY TRANSFER; LARGE EDDY SIMULATION; MIXING; NAVIER STOKES EQUATIONS; TURBULENT FLOW;

EID: 41849124173     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2840199     Document Type: Article

References (36)

1. M. Holzer and E. D. Siggia, "Turbulent mixing of a passive scalar," Phys. Fluids PHFLE61070-663110.1063/1.868243 6, 1820 (1994).
2. Z. Warhaft, "Passive scalars in turbulent flows," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.32.1.203 32, 203 (2000).
3. K. R. Sreenivasan and R. A. Antonia, "The phenomenology of small-scale turbulence," Annu. Rev. Fluid Mech. ARVFA30066-4189 20, 1238 (1997).
4. J. Schumacher, K. R. Sreenivasan, and P. K. Yeung, "Schmidt-number dependence of derivative moments for quasi-static straining motion," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003003756 479, 221 (2003).
5. J. Schumacher and K. R. Sreenivasan, "Geometric features of the mixing of passive-scalars at high Schmidt numbers," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.91.174501 91, 174501 (2003).
6. G. K. Batchelor, "Small-scale variation of convected quantities like temperature in turbulent fluid," J. Fluid Mech. JFLSA70022-112010.1017/S002211205900009X 5, 113 (1959).
7. P. L. Miller and P. E. Dimotakis, "Measurements of scalar power spectra in high Schmidt number turbulent jets," J. Fluid Mech. JFLSA70022-112010.1017/S0022112096001425 308, 129 (1996).
8. P. K. Yeung, S. Xu, D. A. Donzis, and K. R. Sreenivasan, "Simulations of three-dimensional turbulent mixing for Schmidt numbers of the order 1000," Flow, Turbul. Combust. FTCOF91386-618410.1023/B:APPL.0000044400.66539.78 72, 333 (2004).
9. I. Calmet and J. Magnaudet, "Large-eddy simulation of high-Schmidt number mass transfer in a turbulent channel flow," Phys. Fluids PHFLE61070-663110.1063/1.869138 9, 438 (1997).
10. I. Calmet and J. Magnaudet, "High-Schmidt number mass transfer through turbulent gas-liquid interfaces," Int. J. Heat Fluid FlowIJHFD20142-727X10.1016/S0142-727X(98)10017-6 19, 522 (1998).
11. J. Magnaudet and J. Calmet, "Turbulent mass transfer through a flat shear-free surface," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112006008913 553, 155 (2006).
12. G. C. Burton and W. J. A. Dahm, "Multifractal subgrid-scale modeling for large-eddy simulation. Part 1: Model development and a priori testing," Phys. Fluids PHFLE61070-663110.1063/1.1965058 17, 075111 (2005).
13. G. C. Burton and W. J. A. Dahm, "Multifractal subgrid-scale modeling for large-eddy simulation. Part 2: Backscatter limiting and a posteriori evaluation," Phys. Fluids PHFLE61070-663110.1063/ 1.1965094 17, 075112 (2005).
14. R. R. Prasad, C. Meneveau and K. R. Sreenivasan, "The multifractal nature of the dissipation field of passive scalars in fully turbulent flows," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.61.74 61, 74 (1988).
15. K. R. Sreenivasan and R. R. Prasad, "New results on the fractal and multifractal structure of the large Schmidt number passive scalars in fully turbulent flows," Physica D PDNPDT0167-278910.1016/ 0167-2789(89)90214-5 38, 322 (1989).
16. R. D. Frederiksen, W. J. A. Dahm, and D. R. Dowling, "Experimental assessment of fractal scale similarity in turbulent flows. Part 3: Multifractal scaling," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112096004089 338, 127 (1997).
17. C. G. Speziale, "Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112085001987 156, 55 (1985).
18. P. Sagaut, Large-eddy Simulation of Incompressible Flows, 3rd ed. (Springer-Verlag, Berlin, 2005).
19. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, "A dynamic subgrid-scale eddy viscosity model," Phys. Fluids A PFADEB0899-821310.1063/1.857955 3, 1760 (1991).
20. S. Ghosal, T. S. Lund, P. Moin, and K. Akselvoll, "A dynamic-localization model for large-eddy simulation," J. Fluid Mech. JFLSA70022-112010.1017/S0022112095000711 286, 229 (1995).
21. V. Gravemeier, "A consistent dynamic localization model for large eddy simulation of turbulent flows based on a variational formulation," J. Comput. Phys. JCTPAH0021-999110.1016/ j.jcp.2006.03.001 218, 677 (2006).
22. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987).
23. J. P. Boyd, Chebyshev and Fourier Spectral Methods, 2nd ed. (Dover, New York, 2000).
24. I. Fedioun, N. Lardjane, and I. Gokalp, "Revisiting numerical errors in direct and large eddy simulations of turbulence: Physical and spectral spaces analysis," J. Comput. Phys. JCTPAH0021-999110.1006/ jcph.2001.6939 174, 816 (2001).
25. M. R. Overholt and S. B. Pope, "Direct numerical simulation of a passive scalar with imposed mean gradient in isotropic turbulence," Phys. Fluids PHFLE61070-663110.1063/1.869099 8, 3128 (1996).
26. D. I. Pullin, "A vortex-based model for the subgrid flux of a passive scalar," Phys. Fluids PHFLE61070-663110.1063/1.1287512 12, 2311 (2000).
27. R. A. Antonia, A. J. Chambers, D. Britz, and L. W. Browne, "Organized structures in a turbulent plane jet: Topology and contribution to momentum and heat transport," J. Fluid Mech. JFLSA70022-112010.1017/S0022112086001714 172, 211 (1986).
28. L. Mydlarski and Z. Warhaft, "Passive scalar statistics in high Peclet-number grid turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112097008161 358, 135 (1998).
29. J. L. Lumley, "Similarity and the turbulent energy spectrum," Phys. Fluids PFLDAS0031-917110.1063/1.1762200 10, 855 (1967).
30. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, MA, 1975).
31. Z. Warhaft and J. L. Lumley, "An experimental study of the decay of temperature fluctuations in grid-generated turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112078002335 88, 659 (1978).
32. S. C. Lin and S. C. Lin, "Study of strong temperature mixing in subsonic grid turbulence," Phys. Fluids PFLDAS0031-917110.1063/ 1.1694184 16, 1587 (1973).
33. Y. Zang, R. L. Street, and J. R. Koseff, "A dynamic mixed subgrid model and its application to turbulent recirculating flows," Phys. Fluids A PFADEB0899-821310.1063/1.858675 5, 3186 (1993).
34. P. K. Yeung, S. Xu, and K. R. Sreenivasan, "Schmidt number effects on turbulent transport with uniform mean scalar gradient," Phys. Fluids PHFLE61070-663110.1063/1.1517298 14, 4178 (2002).
35. K. A. Buch and W. J. A. Dahm, "Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 1: Sc>1," J. Fluid Mech. JFLSA70022-112010.1017/S0022112096000651 317, 21 (1996).
36. D. Kushnir, J. Schumacher, and A. Brandt, "Geometry of intensive scalar dissipation events in turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.97.124502 97, 124502 (2006).