A computational study of Rayleigh–Bénard convection. Part 2. Dimension considerations

DOI10.1017/S002211209100109XzbMath0717.76048OpenAlexW2042907260MaRDI QIDQ5749040

Anil E. Deane, Lawrence Sirovich

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1017/s002211209100109x

zbMATH Keywords

Lyapunov dimensionchaotic Rayleigh-Bénard convectionKarhunen- Loéve dimension

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Stochastic analysis applied to problems in fluid mechanics (76M35)

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Cites Work

• Large volume limit of the distribution of characteristic exponents in turbulence
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Physical estimates of the number of degrees of freedom in free convection
• Determining modes and fractal dimension of turbulent flows
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension