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

Nikola P. Petrov; Lu Lu; Charles R. Doering

doi:10.1080/14685240500228262

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

Nikola P. Petrov·Lu Lu·Charles R. Doering

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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.

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Nikola P. Petrov, Lu Lu, Charles R. Doering. 2004-09-07. Variational bounds on the energy dissipation rate in body-forced shear flow. https://doi.org/10.1080/14685240500228262

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