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Variational bound on energy dissipation in turbulent shear flow
Rolf Nicodemus, Siegfried Grossmann, Martin Holthaus
We present numerical solutions to the extended Doering-Constantin variational principle for upper bounds on the energy dissipation rate in plane Couette flow, bridging the entire r…
Variational bound on energy dissipation in plane Couette flow
Rolf Nicodemus, Siegfried Grossmann, Martin Holthaus
We present numerical solutions to the extended Doering-Constantin variational principle for upper bounds on the energy dissipation rate in turbulent plane Couette flow. Using the c…
Improved variational principle for bounds on energy dissipation in turbulent shear flow
Rolf Nicodemus, Siegfried Grossmann, Martin Holthaus
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…