Constraints on inertial range scaling laws in forced two-dimensional Navier-Stokes turbulence

Physics of Fluids

Volumn 19, Issue 10, 2007, Pages

  Tran, Chuong V ^a  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENTROPY; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; TURBULENT FLOW; VISCOUS FLOW;

INERTIAL RANGE SCALING LAWS; NAVIER-STOKES TURBULENCE;

FLUID DYNAMICS;

COMPUTER SIMULATION; ENTROPY; FLUID DYNAMICS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; TURBULENT FLOW; VISCOUS FLOW;

EID: 35748965592     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2793171     Document Type: Article

References (16)

1. R. H. Kraichnan, "Inertial ranges in two-dimensional turbulence," Phys. Fluids PFLDAS0031-917110.1063/1.1762301 10, 1417 (1967).
2. C. E. Leith, "Diffusion approximation for two-dimensional turbulence," Phys. Fluids PFLDAS0031-9171 11, 671 (1968).
3. G. K. Batchelor, "Computation of the energy spectrum in homogeneous two-dimensional turbulence," Phys. Fluids PFLDAS0031-917110.1063/ 1.1692443 12, 233 (1969).
4. R. H. Kraichnan, "Inertial-range transfer in two- and three-dimensional turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112071001216 47, 525 (1971).
5. P. Constantin and C. Foias, Navier-Stokes Equations (University of Chicago Press, Chicago, 1988).
6. P. A. Davidson, Turbulence: An Introduction for Scientists and Engineers (Oxford University Press, New York, 2004).
7. C. Foias, O. P. Manley, R. Rosa, and R. Temam, Navier-Stokes Equations and Turbulence (Cambridge University Press, Cambridge, 2001).
8. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
9. M. Lesieur, Turbulence in Fluids, 3rd ed. (Kluwer Academic, Dordrecht, 1997).
10. C. V. Tran and D. G. Dritschel, "Vanishing enstrophy dissipation in two-dimensional Navier-Stokes turbulence in the inviscid limit," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006000577 559, 107 (2006).
11. C. V. Tran and D. G. Dritschel, "Large-scale dynamics of two-dimensional Euler and surface quasigeostrophic flows," Phys. Fluids PHFLE61070-663110.1063/1.2424496 18, 121703 (2006).
12. R. K. Scott, "Nonrobustness of the two-dimensional turbulent inverse cascade," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.75.046301 75, 046301 (2007).
13. C. V. Tran, "Enstrophy dissipation in freely evolving two-dimensional turbulence," Phys. Fluids PHFLE61070-663110.1063/ 1.2001687 17, 081704 (2005).
14. G. L. Eyink, "Dissipation in turbulence solutions of 2D Euler equations," Nonlinearity NONLE50951-771510.1088/0951-7715/14/4/307 14, 787 (2001).
15. G. L. Eyink, "Exact results on stationary turbulence in 2D: Consequences of vorticity conservation," Physica D PDNPDT0167-278910.1016/0167-2789(95)00250-2 91, 97 (1996).
16. G. Boffetta, "Energy and enstrophy fluxes in the double cascade of two-dimensional turbulence," J. Fluid Mech.JFLSA70022-1120 589, 253 (2007).