Variational bounds on the energy dissipation rate in body-forced shear flow

Details Variational bounds on the energy dissipation rate in body-forced shear flow Variational bounds on the energy dissipation rate in body-forced shear flow

2004-09-07

arxiv.org/abs/physics/0409041v1

Physics

Fluid Dynamics

15 pages, 7 figures

Scientific paper

10.1080/14685240500228262

A new variational problem for upper bounds on the rate of energy dissipation in body-forced shear flows is formulated by including a balance parameter in the derivation from the Navier-Stokes equations. The resulting min-max problem is investigated computationally, producing new estimates that quantitatively improve previously obtained rigorous bounds. The results are compared with data from direct numerical simulations.

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