Predictability of the energy cascade in 2D turbulence
arXiv:nlin/0006014 · doi:10.1063/1.1350877
Abstract
The predictability problem in the inverse energy cascade of two-dimensional turbulence is addressed by means of direct numerical simulations. The growth rate as a function of the error level is determined by means of a finite size extension of the Lyapunov exponent. For error within the inertial range, the linear growth of the error energy, predicted by dimensional argument, is verified with great accuracy. Our numerical findings are in close agreement with the result of TFM closure approximation.
3 pages, 3 figures
References in corpus (2)
Cited by in corpus (16)
- Predictability: a way to characterize Complexity
- Chaos and predictability of homogeneous-isotropic turbulence
- Chaotic properties of a turbulent isotropic fluid
- From the butterfly effect to intrinsic randomness: the spontaneous growth of singular shear flows
- Synchronization of turbulence in channel flow
- Inverse cascade behavior in freely decaying two-dimensional fluid turbulence
- Inverse cascades and resonant triads in rotating and stratified turbulence
- Large-scale influence of numerical noises as artificial stochastic disturbances on a sustained turbulence
- Chaos and information in two dimensional turbulence
- Is a direct numerical simulation (DNS) of Navier-Stokes equations with small enough grid spacing and time-step definitely reliable/correct?
- Spontaneous stochasticity and renormalization group in discrete multi-scale dynamics
- Fluctuations of Lyapunov Exponents in homogeneous and isotropic turbulence
- Chaotic behavior of Eulerian MHD turbulence
- Noise-expansion cascade: an origin of randomness of turbulence
- Physical significance of artificial numerical noise in direct numerical simulation of turbulence
- Critical transition to a non-chaotic regime in isotropic turbulence