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Rigorous bound on the plane-shear-flow dissipation rate

✍ Scribed by Gebhardt, Thomas; Grossmann, Siegfried; Holthaus, Martin; Löhden, Michel


Book ID
125428696
Publisher
The American Physical Society
Year
1995
Tongue
English
Weight
227 KB
Volume
51
Category
Article
ISSN
1063-651X

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Improved variational principle for bound
✍ Rolf Nicodemus; Siegfried Grossmann; Martin Holthaus 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 646 KB

We extend the Doering-Constantin approach to upper bounds on energy dissipation in turbulent flows by introducing a balance parameter into the variational principle. This parameter governs the relative weight of different contributions to the dissipation rate. Its optimization leads to improved boun