The Optimum Theory of Turbulence
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Publication:3926938
DOI10.1016/S0065-2156(08)70265-5zbMath0472.76055MaRDI QIDQ3926938
Publication date: 1978
Published in: Advances in Applied Mechanics (Search for Journal in Brave)
Turbulence (76Fxx) Applications to the sciences (65Z05) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items (37)
Variational bounds on shear-driven turbulence and turbulent Boussinesq convection ⋮ Energy dissipation in the Smagorinsky model of turbulence ⋮ Variational bounds on energy dissipation in an incompressible channel flow with uniform injection and suction ⋮ Improved variational principle for bounds on energy dissipation in turbulent shear flow ⋮ Rigorous upper bounds for transport due to passive advection by inhomogeneous turbulence ⋮ Effects of helicity on dissipation in homogeneous box turbulence ⋮ Bounds on convection driven by internal heating ⋮ Minimax principle on energy dissipation of incompressible shear flow ⋮ Conservative bounds on Rayleigh-Bénard convection with mixed thermal boundary conditions ⋮ Energy dissipation rate limits for flow through rough channels and tidal flow across topography ⋮ Upper bounds on the heat transport in a porous layer ⋮ Spatial resolution requirements for direct numerical simulation of the Rayleigh-Benard convection ⋮ Energy dissipation in a shear layer with suction ⋮ New results in the variational approach to turbulent Boussinesq convection ⋮ Maximal mixing rate in turbulent stably stratified Couette flow ⋮ Clipping over dissipation in turbulence models ⋮ Bounds on Energy, Magnetic Helicity, and Cross Helicity Dissipation Rates of Approximate Deconvolution Models of Turbulence for MHD Flows ⋮ Optimum fields and bounds on heat transport for nonlinear convection in rapidly rotating fluid layer ⋮ Bounds on dissipation for Navier-Stokes flow with Kolmogorov forcing ⋮ Statistical stability criteria for turbulent flow ⋮ Scaling bounds on dissipation in turbulent flows ⋮ Lowering dissipation bounds for turbulent shear flows using a smoothness constraint ⋮ Exhausting the background approach for bounding the heat transport in Rayleigh–Bénard convection ⋮ Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and the mean-fluctuation formulation of Howard-Busse ⋮ Is there a statistical mechanics of turbulence? ⋮ A rigorous bound on the scaling of dissipation with velocity amplitude in flow past a sphere ⋮ Bounds on heat transfer for Bénard–Marangoni convection at infinite Prandtl number ⋮ Variations on Kolmogorov flow: turbulent energy dissipation and mean flow profiles ⋮ Bounds for turbulent convective dynamos ⋮ Unnamed Item ⋮ Diagnostics for eddy viscosity models of turbulence including data-driven/neural network based parameterizations ⋮ Mean square velocities of Benard convection and heat transfer ⋮ Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate ⋮ Turbulence noise. ⋮ Bounds on heat transfer by incompressible flows between balanced sources and sinks ⋮ Bounds for rotating Rayleigh–Bénard convection at large Prandtl number ⋮ Scaling in Rayleigh–Bénard convection
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