Nonrobustness of the two-dimensional turbulent inverse cascade

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 4, 2007, Pages

  Scott, R K ^a  

^a NORTHWEST RESEARCH ASSOCIATES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE KINEMATICS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; TURBULENT FLOW; VORTEX FLOW; WAVE EQUATIONS;

ENERGY DISTRIBUTION; INVERSE ENERGY CASCADE; NAVIER STOKES TURBULENCE; WAVE NUMBER;

CASCADES (FLUID MECHANICS);

EID: 34147137882     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.046301     Document Type: Article

References (25)

1. R. H. Kraichnan, Phys. Fluids PFLDAS 0031-9171 10.1063/1.1762301 10, 1417 (1967).
2. G. K. Batchelor, Phys. Fluids PFLDAS 0031-9171 10.1063/1.1692443 12, 233 (1969).
3. U. Frisch and P.-L. Sulem, Phys. Fluids PFLDAS 0031-9171 10.1063/1.864870 27, 1921 (1984).
4. J. R. Herring and J. C. McWilliams, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112085001239 153, 229 (1985).
5. M. E. Maltrud and G. K. Vallis, J. Fluid Mech. JFLSA7 0022-1120 228, 321 (1991).
6. S. Sukorianski, B. Galperin, and A. Chekhlov, Phys. Fluids PHFLE6 1070-6631 10.1063/1.870163 11, 3043 (1999).
7. S. Chen, R. E. Ecke, G. L. Eyink, M. Rivera, M. Wan, and Z. Xiao, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.084502 96, 084502 (2006).
8. J. Paret and P. Tabeling, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4162 79, 4162 (1997).
9. A. Babiano, B. Dubrulle, and P. Frick, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.3719 52, 3719 (1995).
10. E. Lindborg and K. Alvelius, Phys. Fluids PHFLE6 1070-6631 10.1063/1.870379 12, 945 (2000).
11. C. Pasquero and G. Falkovich, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056305 65, 056305 (2002).
12. S. Chen, R. E. Ecke, G. L. Eyink, X. Wang, and Z. Xiao, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.214501 91, 214501 (2003).
13. J. Paret, M. C. Jullien, and P. Tabeling, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3418 83, 3418 (1999).
14. C. V. Tran and J. C. Bowman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.036303 69, 036303 (2004).
15. C. V. Tran and T. G. Shepherd, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(02)00391-3 165, 199 (2002).
16. V. Borue, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1475 72, 1475 (1994).
17. L. M. Smith and V. Yakhot, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112094002065 274, 115 (1994).
18. G. F. Carnevale, J. C. McWilliams, Y. Pomeau, J. B. Weiss, and W. R. Young, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2735 66, 2735 (1991).
19. R. Benzi, M. Collela, M. Briscolini, and P. Santangelo, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858254 4, 1036 (1992).
20. J. B. Weiss and J. C. McWilliams, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858647 5, 608 (1993).
21. S. Danilov and D. Gurarie, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.020203 63, 020203 (R) (2001);
22. S. Danilov and D. Gurarie, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.061208 63, 061208 (2001).
23. C. V. Tran, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.11.005 191, 137 (2004).
24. M. A. Rutgers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81. 2244 81, 2244 (1998).
25. M. E. Maltrud and G. K. Vallis, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858851 5, 1760 (1993).