A computational study of Rayleigh–Bénard convection. Part 1. Rayleigh-number scaling

DOI10.1017/S0022112091001088zbMath0717.76047OpenAlexW2159220891MaRDI QIDQ5749039

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/s0022112091001088

zbMATH Keywords

parametric studyproper orthogonal decompositionempirical eigenfunctionschaotic Rayleigh-Bénard convectionKarhunen-Loéve procedure

Mathematics Subject Classification ID

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

Related Items (19)

Proper orthogonal decomposition of a fully confined cubical differentially heated cavity flow at Rayleigh number \(Ra=10^9\) ⋮ Two-dimensional buoyancy driven thermal mixing in a horizontally partitioned adiabatic enclosure ⋮ A Karhunen-Loève based Galerkin approximation to Boussinesq equation ⋮ Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders ⋮ Effects of fluid injection on dynamics of flow past a circular cylinder ⋮ Two-level discretizations of nonlinear closure models for proper orthogonal decomposition ⋮ A modeling approach to transitional channel flow ⋮ Steady supersonic flow-field predictions using proper orthogonal decomposition technique ⋮ Investigation of coherent structures in rotating Rayleigh-Benard convection ⋮ Extensions to Karhunen-Loève based approximation of complicated phenomena ⋮ Natural convection in a bottom heated horizontal cylinder ⋮ Low-order models for the flow in a differentially heated cavity ⋮ Turbulence spectra ⋮ The Taming of the Shrew: Why Is It so Difficult to Control Turbulence? ⋮ Learning-based robust stabilization for reduced-order models of 2D and 3D Boussinesq equations ⋮ Unnamed Item ⋮ Development of POD reduced-order model and its closure scheme for 2D Rayleigh-Bénard convection ⋮ A pressure-correction ensemble scheme for computing evolutionary Boussinesq equations ⋮ On the hidden beauty of the proper orthogonal decomposition

Cites Work

• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Quantitative universality for a class of nonlinear transformations
• On the nature of turbulence
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Finite amplitude cellular convection
• Determining modes and fractal dimension of turbulent flows
• Instability of swirl in low-Prandtl-number thermal convection
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• Numerical solutions of single-mode convection equations
• Time-dependent solutions of multimode convection equations

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