Dynamical modeling of sub-grid scales in 2D turbulence

Physica D: Nonlinear Phenomena

Volumn 142, Issue 3-4, 2000, Pages 231-253

  Laval, Jean Philippe ^a   Dubrulle, Bérengère ^b   Nazarenko, Sergey ^c,d  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b CNRS   (France)

^c UNIVERSITY OF WARWICK   (United Kingdom)

^d University of Arizona   (United States)

Author keywords

Pseudo spectral simulation; Sub grid scales; Two fluid simulation

Indexed keywords

EID: 0001611263     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00060-9     Document Type: Article

References (32)

1. B. Dubrulle, S. Nazarenko, Physica D 110 (1997) 123-138.
2. S. Nazarenko, J.-P. Laval, Non-local 2D turbulence and passive scalars in Batchelor's regime, J. Fluid Mech., in press.
3. C. Fureby, et al., Phys. Fluids 9 (1997) 1416.
4. L. Smith, V. Yakhot, Phys. Rev. Lett. 71 (1993) 352.
5. V. Borue, Phys. Rev. Lett. 72 (1994) 1475.
6. R. Sadourny, C. Basdevant, Comput. Rend. Acad. Sci. Paris, Serie II 292 (1981) 1061.
7. V. Borue, Phys. Rev. Lett. 71 (1993) 3967.
8. K. Ohkitani, Phys. Fluids A 2 (1990) 1529.
9. M.E. Maltrud, G.K. Valis, Phys. Fluids A 5 (1993) 1760.
10. K.G. Oetzel, G.K. Vallis, Phys. Fluids 9 (1997) 2991.
11. A.M. Rubenchik Izv. Vuzov. Radiofizika 17 (1974) 922.
12. A.I. Dyachenko, S.V. Nazarenko, V.E. Zakharov, Phys. Lett. A 165 (1992) 330.
13. C.K. Birdsall, A.B. Langdon, Plasma Physics via Computer Simulation, McGraw-Hill, New York, 1985.
14. S.V. Nazarenko, N.J. Zabusky, T. Scheidegger, Phys. Fluids 7 (1995) 2407.
15. D. Gottlieb, S.A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM, Philadelphia, PA, 1977.
16. M.E. Brachet, M. Meneguzzi, H. Politano, P.L. Sulem, J. Fluid Mech. 194 (1988) 333.
17. S. Nazarenko, N. Kevlahan, B. Dubrulle, J. Fluid Mech. 390 (1999) 325.
18. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transports, Cambridge University Press, Cambridge, 1989.
19. R.H. Kraichnan, J. Fluid Mech. 64 (1974) 737.
20. U. Frisch, Turbulence, Cambridge University Press, Cambridge, 1995.
21. I. Van der Hiven, J. Meteorol. 14 (1957) 160.
22. A. Pouquet, U. Frisch, J.P. Chollet, Phys. Fluids 26 (1983) 877.
23. G.K. Batchelor, Phys. Fluids 12 (Suppl. II) (1969) 233.
24. P. Bartello, T. Warn, J. Fluid Mech. 326 (1996) 357.
25. A.H. Nielsen, et al., Phys. Fluids 8 (1996) 2263.
26. A. Babiano, B. Dubrulle, P. Frick, Phys. Rev. E 55 (1997) 2693.
27. B. Legras, D. Dritschel, J. Comput. Phys. 104 (1993) 287.
28. A. Mariotti, B. Legras, D. Dritschel, Phys. Fluids 6 (1994) 3954.
29. M. Farge, N. Kevlahan, V. Perrier, E. Goirand, Proc. IEEE 84 (1996) 639.
30. D. Dritschel, Comput. Phys. 77 (1988) 240.
31. R. Kraichnan, Phys. Fluids 8 (1965) 1385.
32. T. Dubois, F. Jauberteau, R. Temam, Comput. Meth. Appl. Mech. Eng. 159 (1998) 123-189.