Improved variational principle for bounds on energy dissipation in turbulent shear flow

Details Improved variational principle for bounds on energy dissipation in turbulent shear flow Improved variational principle for bounds on energy dissipation in turbulent shear flow

1998-04-24

arxiv.org/abs/cond-mat/9804272v1

Physica D 101, 178 (1997)

Physics

Condensed Matter

Soft Condensed Matter

15 pages, RevTeX, 3 postscript figures

Scientific paper

10.1016/S0167-2789(96)00210-2

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.

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