Variational bounds on the energy dissipation rate in body-forced shear flow
Fluid Dynamics
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.physics/0409041,
title = {Variational bounds on the energy dissipation rate in body-forced shear flow},
author = {Nikola P. Petrov and Lu Lu and Charles R. Doering},
journal= {arXiv preprint arXiv:physics/0409041},
year = {2009}
}
Comments
15 pages, 7 figures