Enstrophy dissipation in freely evolving two-dimensional turbulence
- 1 August 2005
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 17 (8)
- https://doi.org/10.1063/1.2001687
Abstract
Freely decaying two-dimensional Navier--Stokes turbulence is studied. The conservation of vorticity by advective nonlinearities renders a class of Casimirs that decays under viscous effects. A rigorous constraint on the palinstrophy production by nonlinear transfer is derived, and an upper bound for the enstrophy dissipation is obtained. This bound depends only on the decaying Casimirs, thus allowing the enstrophy dissipation to be bounded from above in terms of initial data of the flows. An upper bound for the enstrophy dissipation wavenumber is derived and the new result is compared with the classical dissipation wavenumber.Comment: No figures, Letter to appear in Phys. FluidKeywords
All Related Versions
This publication has 27 references indexed in Scilit:
- Robustness of the inverse cascade in two-dimensional turbulencePhysical Review E, 2004
- Nonlinear stability of fluid and plasma equilibriaPublished by Elsevier ,2002
- On 2D Euler equations. I. On the energy–Casimir stabilities and the spectra for linearized 2D Euler equationsJournal of Mathematical Physics, 2000
- Vorticity Statistics in the Two-Dimensional Enstrophy CascadePhysical Review Letters, 1999
- Nonlinear stability of Euler flows in two-dimensional periodic domainsGeophysical & Astrophysical Fluid Dynamics, 1999
- Inverse energy cascade in stationary two-dimensional homogeneous turbulencePhysical Review Letters, 1994
- Spectral exponents of enstrophy cascade in stationary two-dimensional homogeneous turbulencePhysical Review Letters, 1993
- Bose condensation and small-scale structure generation in a random force driven 2D turbulencePhysical Review Letters, 1993
- On energy and enstrophy exchanges in two-dimensional non-divergent flowJournal of Fluid Mechanics, 1975
- On the Changes in the Spectral Distribution of Kinetic Energy for Twodimensional, Nondivergent FlowTellus, 1953