Time-dependent solutions of multimode convection equations

DOI10.1017/S0022112082003279zbMath0508.76100OpenAlexW2161010490MaRDI QIDQ4747820

Juri Toomre, Edward A. Spiegel, Douglas Gough

Publication date: 1982

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112082003279

zbMATH Keywords

Boussinesq approximationnonlineartime evolutiontemperature fieldsNusselt numberfluctuating velocityBenard convectionmodes with triad interactions

Mathematics Subject Classification ID

Free convection (76R10) Basic methods in fluid mechanics (76M99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• A generalized Lorenz system
• Infinite Prandtl Number Turbulent Convection
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• Modal equations for cellular convection
• Axisymmetric convection in a cylinder
• Numerical solutions of single-mode convection equations
• On the oscillatory instability of a differentially heated fluid loop
• On Howard's upper bound for heat transport by turbulent convection
• The oscillatory instability of convection rolls in a low Prandtl number fluid
• Two-dimensional Rayleigh-Benard convection