Variational bounds on the energy dissipation rate in body-forced shear flow
arXiv:physics/0409041 · doi:10.1080/14685240500228262
Abstract
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.
15 pages, 7 figures