Transport bounds for a truncated model of Rayleigh-Bénard convection

DOI10.1016/j.physd.2015.05.009zbMath1364.76056OpenAlexW2190894092MaRDI QIDQ2396191

Andre N. Souza, Charles R. Doering

Publication date: 7 June 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2015.05.009

zbMATH Keywords

optimal controlLorenz equationsRayleigh-Bénard convectionheat transport

Mathematics Subject Classification ID

Related Items (8)

Effective low-order models for atmospheric dynamics and time series analysis ⋮ Optimal convection cooling flows in general 2D geometries ⋮ Exploring atmospheric convection with physically sound nonlinear low-order models ⋮ The Littlewood–Paley decomposition for periodic functions and applications to the Boussinesq equations ⋮ Exhausting the background approach for bounding the heat transport in Rayleigh–Bénard convection ⋮ Wall-to-wall optimal transport in two dimensions ⋮ Optimal heat transfer enhancement in plane Couette flow ⋮ Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization

Cites Work

• Maximal transport in the Lorenz equations
• Energy conserving Galerkin approximations for 2-D hydrodynamic and MHD Bénard convection
• Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and the mean-fluctuation formulation of Howard-Busse
• Bounds on the dissipation in the Lorenz system
• Wall to wall optimal transport
• Energy-conserving truncations for convection with shear flow
• Deterministic Nonperiodic Flow
• Heat transport by turbulent convection
• Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection
• On Howard's upper bound for heat transport by turbulent convection

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