A Eulerian model for large-eddy simulation of concentration of particles with small Stokes numbers

Physics of Fluids

Volumn 19, Issue 11, 2007, Pages

  Shotorban, Babak ^a   Balachandar, S ^b  

^a ESI US R and D Inc   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; DIRECT NUMERICAL SIMULATION; EULER EQUATIONS; FLOW VELOCITY; MATHEMATICAL MODELS; TURBULENT FLOW;

GRAVITATIONAL ACCELERATION; STOKES NUMBER;

LARGE EDDY SIMULATION;

ACCELERATION; DIRECT NUMERICAL SIMULATION; EULER EQUATIONS; FLOW VELOCITY; LARGE EDDY SIMULATION; MATHEMATICAL MODELS; TURBULENT FLOW;

EID: 36949040414     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2804956     Document Type: Article

References (27)

1. 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).
2. F. Mashayek and R. V. R. Pandya, "Analytical description of particle/droplet-laden turbulent flows," Prog. Energy Combust. Sci. PECSDO0360-128510.1016/S0360-1285(03)00029-7 29, 329 (2003).
3. S. B. Pope, "Ten questions concerning the large-eddy simulation of turbulent flows," New J. Phys. NJOPFM1367-263010.1088/1367-2630/6/1/ 035 6, 35 (2004).
4. B. Shotorban and F. Mashayek, "Modeling subgrid-scale effects on particles by approximate deconvolution," Phys. Fluids PHFLE61070-663110.1063/1.2001691 17, 081701 (2005).
5. B. Shotorban and F. Mashayek, "A stochastic model for particle motion in large-eddy simulation," J. Turbul. ZZZZZZ1468-5248 7, N18 (2006).
6. M. R. Maxey and J. J. Riley, "Equation of motion for a small rigid sphere in a nonuniform flow," Phys. Fluids PFLDAS0031-917110.1063/ 1.864230 26, 883 (1983).
7. M. R. Maxey, "The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields," J. Fluid Mech. JFLSA70022-112010.1017/S0022112087000193 174, 441 (1987).
8. Z. Dodin and T. Elperin, "On the motion of small heavy particles in an unsteady flow," Phys. Fluids PHFLE61070-663110.1063/1.1763946 16, 3231 (2004).
9. T. Elperin, N. Kleeorin, and I. Rogachevskii, "Self-excitation of fluctuations of inertial particle concentration in turbulent fluid flow," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.77.5373 77, 5373 (1996).
10. T. Elperin, N. Kleeorin, V. L'vov, I. Rogachevskii, and D. Sokoloff, "Clustering instability of the spatial distribution of inertial particles in turbulent flows," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.66.036302 66, 036302 (2002).
11. E. Balkovsky, G. Falkovich, and A. Fouxon, "Intermittent distribution of inertial particles in turbulent flows," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.86.2790 86, 2790 (2001).
12. G. Falkovich and A. Pumir, "Intermittent distribution of heavy particles in a turbulent flow," Phys. Fluids PHFLE61070-663110.1063/ 1.1755722 16, L47 (2004).
13. J. Ferry and S. Balachandar, "A fast Eulerian method for disperse two-phase flow," Int. J. Multiphase FlowI JMFBP0301-932210.1016/ S0301-9322(00)00069-0 27, 1199 (2001).
14. S. L. Rani and S. Balachandar, "Evaluation of the equilibrium Eulerian approach for the evolution of particle concentration in isotropic turbulence," Int. J. Multiphase FlowI JMFBP0301-932210.1016/j.ijmultiphaseflow.2003.09.005 29, 1793 (2003).
15. B. Shotorban and S. Balachandar, "Particle concentration in homogeneous shear turbulence simulated via Lagrangian and equilibrium Eulerian approaches," Phys. FluidsPHFLE61070-663110.1063/1.2204982 18, 065105 (2006).
16. J. Bec, L. Biferale, G. Boffetta, A. Celani, M. Cencini, A. Lanotte, S. Musacchio, and F. Toschi, "Acceleration statistics of heavy particles in turbulence," J. Fluid Mech.JFLSA70022-112010.1017/ S002211200500844X 550, 349 (2006).
17. R. V. R. Pandya and F. Mashayek, "Two-fluid large-eddy simulation approach for particle-laden turbulent flows," Int. J. Heat Mass TransferI JHMAK0017-931010.1016/S0017-9310(02)00191-6 45, 4753 (2002).
18. P. Fevrier, O. Simonin, and K. D. Squires, "Partitioning of particle velocities in gas-solid turbulent flows into a continuous field and a spatially uncorrelated random distribution: Theoretical formalism and numerical study," J. Fluid Mech. JFLSA70022-1120 533, 1 (2005).
19. P. Moin, K. D. Squires, C. W. H., and S. Lee, "A dynamic subgrid-scale model for compressible turbulence and scalar transport," Phys. Fluids APFADEB0899-821310.1063/1.858164 3, 2746 (1991).
20. 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).
21. D. K. Lilly, "A proposed modification of the Germano subgrid-scale closure method," Phys. Fluids APFADEB0899-821310.1063/1.858280 4, 633 (1992).
22. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, UK, 2000).
23. S. Sundaram and L. R. Collins, "Collision statistics in an isotropic particle-laden turbulent suspension. Part 1. Direct numerical simulations," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112001005092 335, 75 (1997).
24. A. Aliseda, A. Cartellier, F. Hainaux, and J. Lasheras, "Effect of preferential concentration on the settling velocity of heavy particles in homogeneous isotropic turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002001593 468, 77 (2002).
25. R. Shaw, "Particle-turbulence interactions in atmospheric clouds," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fluid.35.101101.161125 35, 183 (2003).
26. J. Bec, L. Biferale, M. Cencini, A. Lanotte, S. Musacchio, and F. Toschi, "Heavy particle concentration in turbulence at dissipative and inertial scales," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.98.084502 98, 084502 (2007).
27. H. Yoshimoto and S. Goto, "Self-similar clustering of inertial particles in homogeneous turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112007004946 577, 275 (2007).