IMPROVED VARIATIONAL PRINCIPLE FOR BOUNDS ON ENERGY-DISSIPATION IN TURBULENT SHEAR-FLOW

Authors
NICODEMUS R GROSSMANN S HOLTHAUS M
Citation
R. Nicodemus et al., IMPROVED VARIATIONAL PRINCIPLE FOR BOUNDS ON ENERGY-DISSIPATION IN TURBULENT SHEAR-FLOW, Physica. D, 101(1-2), 1997, pp. 178-190
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
101
Issue
1-2
Year of publication
1997
Pages
178 - 190
Database
ISI
SICI code
0167-2789(1997)101:1-2<178:IVPFBO>2.0.ZU;2-B
Abstract
We extend the Doering-Constantin approach to upper bounds on energy di ssipation in turbulent flows by introducing a balance parameter into t he variational principle. This parameter governs the relative weight o f different contributions to the dissipation rate. Its optimization le ads to improved bounds without entailing additional technical difficul ties. For plane Couette flow, the high-lie-bounds obtainable with one- dimensional background flows are methodically lowered by a factor of 2 7/32.