Bottleneck effects in turbulence: Scaling phenomena in r- versus p-space

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

9 pages, 3figures on request

Scientific paper

10.1103/PhysRevLett.74.1747

We (analytically) calculate the energy spectrum corresponding to various experimental and numerical turbulence data analyzed by Benzi et al.. We find two bottleneck phenomena: While the local scaling exponent $\zeta_r(r)$ of the structure function decreases monotonically, the local scaling exponent $\zeta_p(p)$ of the corresponding spectrum has a minimum of $\zeta_p(p_{min})\approx 0.45$ at $p_{min}\approx (10 \eta)^{-1}$ and a maximum of $\zeta_p(p_{max})\approx 0.77$ at $p_{max}\approx 8 L^{-1}$. A physical argument starting from the constant energy flux in p--space reveals the general mechanism underlying the energy pileups at both ends of the p--space scaling range. In the case studied here, they are induced by viscous dissipation and the reduced spectral strength on the scale of the system size, respectively.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Bottleneck effects in turbulence: Scaling phenomena in r- versus p-space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bottleneck effects in turbulence: Scaling phenomena in r- versus p-space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bottleneck effects in turbulence: Scaling phenomena in r- versus p-space will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-388873

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.