Three-dimensional direct numerical simulation of electromagnetically driven multiscale shallow layer flows: Numerical modeling and physical properties

Physics of Fluids

Volumn 20, Issue 12, 2008, Pages

  Lardeau, Sylvain ^a   Ferrari, Simone ^b   Rossi, Lionel ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT NUMERICAL SIMULATION; FRICTION; NUMERICAL MODELS; REYNOLDS NUMBER; TRIBOLOGY; VISCOSITY OF LIQUIDS;

ACCELERATION FIELDS; ELECTROMAGNETIC FORCES; FRICTION MODELING; MAXIMUM ACCURACIES; PHYSICAL MECHANISM; THREEDIMENSIONAL (3-D); TWO DIMENSIONAL (2 D); VELOCITY COMPONENTS;

NAVIER STOKES EQUATIONS;

EID: 58249086592     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3025887     Document Type: Article

References (27)

1. N. Pamme, "Magnetism and microfluidics," Lab Chip LCAHAM1473-0197 2438, 624 (2006).
2. S. Cuevas, S. Smolentsev, and M. A. Abdou, "On the flow past a magnetic obstacle," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112006008810 553, 227 (2006).
3. L. Rossi, J. C. Vassilicos, and Y. Hardalupas, "Electromagnetically controlled multiple scale flows," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006009980 558, 207 (2006).
4. P. Tabeling, "Two-dimensional turbulence: A physicist approach," Phys. Rep.PRPLCM0370-157310.1016/S0370-1573(01)00064-3 362, 1 (2002).
5. L. F. Richardson, "Atmospheric diffusion shown on distance-neighbour graph," Proc. R. Soc. London, Ser. A PRLAAZ0950-120710.1098/rspa.1926.0043 110, 709 (1926).
6. A. M. Obukhov, "Spectral energy distribution in a turbulent flow," Izv. Akad. Nauk SSSR, Ser. Geogr. Geofiz. IAGYAM0367-6684 5, 453 (1941).
7. L. Rossi, J. C. Vassilicos, and Y. Hardalupas, "Multi-scale laminar flows with turbulent-like properties," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.97.144501 97, 144501 (2006).
8. P. A. Durbin, "A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112080001152 100, 279 (1980).
9. L. Rossi, J. C. Vassilicos, and Y. Hardalupas, "Eulerian-Lagrangian aspects of a steady multiscale laminar flow," Phys. FluidsPHFLE61070-663110.1063/1.2754348 19, 078108 (2007).
10. M. K. Rivera and R. E. Ecke, "Pair dispersion and doubling time statistics in two-dimensional turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.95.194503 95, 194503 (2005).
11. S. Kenjeres, J. Verdoold, A. Wibowo, C. R. Kleijn, and K. Hanjalic, "Large eddy simulations of electromagnetically driven vortical flows," in Proceedings of the European Turbulence Conference XI, edited by J. Palma and A. Silva Lopes (Springer, Heidelberg, 2007), p. 656.
12. L. Rossi, E. Hascoët, J. C. Vassilicos, and Y. Hardalupas, "2D fractal flow generated by electromagnetic forcing: Laboratory experiments and numerical simulations," in Proceedings of the Fourth Symposium on Turbulence Shear Flow Phenomena, Williamsburg, VA, 27-29 June 2005.
13. E. Hascoët, L. Rossi, and J. C. Vassilicos, "Multi-scale flow control for efficient mixing: Simulation of electromagnetically forced turbulent-like laminar flows," in Proceedings of the IUTAM Symposium on Flow Control and MEMS (Springer, New York, 2008).
14. S. Ferrari and L. Rossi, "Particle tracking velocimetry and accelerometry (PTVA) measurements applied to quasi-two-dimensional multi-scale flows," Exp. Fluids EXFLDU0723-486410.1007/ s00348-007-0443-7 44, 873 (2008).
15. M. K. Rivera and X. L. Wu, "External dissipation in driven two-dimensional turbulence," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.85.976 85, 976 (2000).
16. N. Paldor, Y. Dvorkin, and C. Basdevant, "Improving the calculation of particle trajectories in the extra-tropical troposphere using standard NCEP fields," Atmos. Environ. AENVEQ1352-231010.1016/ S1352-2310(01)00305-3 36, 483 (2002).
17. G. Boffetta, A. Celani, S. Musacchio, and M. Vergassola, "Intermittency in two-dimensional Ekman-Navier-Stokes turbulence," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.66.026304 66, 026304 (2002).
18. P. A. Davidson, An Introduction to Magnetohydrodynamics (Cambridge University Press, Cambridge, 2001).
19. S. Molokov, R. Moreau, and H. K. Moffatt, Magnetohydrodynamics, Historical Evolution and Trends (Springer, New York, 2007).
20. G. Akoun and J.-P. Yonnet, "3D analytical calculation of the forces exerted between two cuboidal magnets," IEEE Trans. Magn. IEMGAQ0018-946410.1109/TMAG.1984.1063554 20, 1962 (1984).
21. L. Rossi, "Contrôle électromagnétique d'écoulement en eau de mer," Ph.D. thesis, University Joseph Fourier, 2001.
22. A. G. Kravchenko and P. Moin, "On the effect of numerical errors in large eddy simulations of turbulent flows," J. Comput. Phys.JCTPAH0021-999110.1006/jcph.1996.5597 131, 310 (1997).
23. S. Laizet and E. Lamballais, "Direct-numerical simulation of the splitting-plate downstream-shape influence upon a mixing layer," C. R. Mec.CRMOC91631-072110.1016/j.crme.2006.06.005 334, 454 (2006).
24. E. Hascoët and L. Rossi, personal communication (2007).
25. L. Shen and D. Y. Yue, "Large-eddy simulation of free-surface turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112001004669 440, 75 (2001).
26. M. C. Jullien, J. Paret, and P. Tabeling, "Richardson pair dispersion in two-dimensional turbulence physics," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.82.2872 82, 2872 (1999).
27. M. Bourgoin, N. T. Ouellette, H. Xu, J. Berg, and E. Bodenschatz, "The role of pair dispersion in turbulent flow," Science SCIEAS0036-807510.1126/science.1121726 311, 835 (2006).