Energy and enstrophy dissipation in steady state 2-d turbulence

نویسندگان

  • Alexandros Alexakis
  • Charles R. Doering
چکیده

where U is the root-mean-square velocity, kf is a wavenumber (inverse length scale) related with the forcing function, and Re = U/νkf . The positive coefficients C1 and C2 are uniform in the the kinematic viscosity ν, the amplitude of the driving force, and the system size. We compare these results with previously obtained bounds for body forces involving only a single length scale, or for velocity dependent a constant-energy-flux forces acting at finite wavenumbers. Implications of our results are discussed.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exact Results on Stationary Turbulence in 2D: Consequences of Vorticity Conservation

We establish a series of exact results for a model of stationary turbulence in two-dimensions: the incompressible Navier-Stokes equation with stochastic force white-noise in time. Essentially all of our conclusions follow from the simple consideration of the simultaneous conservation of energy and enstrophy by the inertial dynamics. Our main results are as follows: (1) we show the blow-up of me...

متن کامل

Constraints on the spectral distribution of energy and enstrophy dissipation in forced two-dimensional turbulence

We study two-dimensional turbulence in a doubly periodic domain driven by a monoscale-like forcing and damped by various dissipation mechanisms of the form νμ(−∆) μ. By “monoscale-like” we mean that the forcing is applied over a finite range of wavenumbers kmin ≤ k ≤ kmax, and that the ratio of enstrophy injection η ≥ 0 to energy injection ε ≥ 0 is bounded by k minε ≤ η ≤ k 2 maxε. Such a forci...

متن کامل

Dissipation and enstrophy in isotropic turbulence: Resolution effects and scaling in direct numerical simulations

Existing experimental and numerical data suggest that the turbulence energy dissipation and enstrophy i.e., the square of vorticity possess different scaling properties, while available theory suggests that there should be no differences at sufficiently high Reynolds numbers. We have performed a series of direct numerical simulations with up to 20483 grid points where advanced computational pow...

متن کامل

Lognormal turbulence dissipation in global ocean models

Data from turbulent numerical simulations of the global ocean demonstrate that the dissipation of kinetic energy obeys a nearly lognormal distribution at surprisingly large horizontal scales. As the horizontal scales of resolved turbulence are larger than the ocean is deep, the KolmogorovYaglom theory for intermittency in 3D homogeneous, isotropic turbulence cannot apply: instead the downscale ...

متن کامل

Geometry of enstrophy and dissipation, grid resolution effects and proximity issues in turbulence

We perform a multi-scale non-local geometrical analysis of the structures extracted from the enstrophy and kinetic energy dissipation-rate, instantaneous fields of a numerical database of incompressible homogeneous isotropic turbulence decaying in time obtained by DNS in a periodic box. Three different resolutions are considered: 256, 512 and 1024 grid points, with kmaxη̄ approximately 1, 2 and ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006