Improved variational principle for bounds on energy dissipation in turbulent shear flow
Soft Condensed Matter
2009-10-31 v1
Abstract
We extend the Doering-Constantin approach to upper bounds on energy dissipation in turbulent flows by introducing a balance parameter into the variational principle. This parameter governs the relative weight of different contributions to the dissipation rate. Its optimization leads to improved bounds without entailing additional technical difficulties. For plane Couette flow, the high-Re-bounds obtainable with one-dimensional background flows are methodically lowered by a factor of 27/32.
Keywords
Cite
@article{arxiv.cond-mat/9804272,
title = {Improved variational principle for bounds on energy dissipation in turbulent shear flow},
author = {Rolf Nicodemus and Siegfried Grossmann and Martin Holthaus},
journal= {arXiv preprint arXiv:cond-mat/9804272},
year = {2009}
}
Comments
15 pages, RevTeX, 3 postscript figures