Nonlinear modal analysis of penetrative convection

DOI10.1080/03091928208221741zbMath0514.76051OpenAlexW2084591929WikidataQ114640630 ScholiaQ114640630MaRDI QIDQ3661166

Jean-Paul Zahn, Juri Toomre, Jean Latour

Publication date: 1982

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928208221741

zbMATH Keywords

penetrative convectionrollsstable regionsmodal expansion proceduretemperature gradient unstablethreedimensional cellstwodimensional planforms

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Basic methods in fluid mechanics (76M99) Stability and instability of geophysical and astrophysical flows (76E20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Finite amplitude instability thresholds in penetrative convection ⋮ Unconditional nonlinear stability in penetrative convection ⋮ Energy methods for nonlinear stability in convection problems primarily related to geophysics

Cites Work

• Effects of truncation in modal representations of thermal convection
• Modal equations for cellular convection
• Numerical solutions of single-mode convection equations
• On the boundary conditions imposed by a stratified fluid
• A Generalization of the Mixing-Length Theory of Turbulent Convection.
• Unstable Modes in the Solar Hydrogen Convection Zone.
• Penetrative Convection.

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