Three-dimensional transition of natural-convection flows

DOI10.1017/S0022112096007343zbMath0943.76030OpenAlexW2038641750MaRDI QIDQ4348222

Patrick Le Quéré, R. A. W. M. Henkes

Publication date: 28 September 1997

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

Full work available at URL: https://doi.org/10.1017/s0022112096007343

zbMATH Keywords

temperature perturbationslinearized Boussinesq equationscavity with differentially heated wallsChebyshev-Fourier spectral methodeffect of three-dimensionalitymixed thermal-mechanical instabilityweakly turbulent flow

Mathematics Subject Classification ID

Related Items (13)

Influence of a magnetic field on liquid metal free convection in an internally heated cubic enclosure ⋮ Direct numerical simulations of two- and three-dimensional turbulent natural convection flows in a differentially heated cavity of aspect ratio 4 ⋮ Global linear instability analysis of thermal convective flow using the linearized lattice Boltzmann method ⋮ Three-dimensional bifurcations in a cubic cavity due to buoyancy-driven natural convection ⋮ Stability analysis of the flow in a cubical cavity heated from below ⋮ Linear stability analyses of natural convection flows in a differentially heated square cavity with conducting horizontal walls ⋮ Low-order models for the flow in a differentially heated cavity ⋮ A dual-mesh hybrid RANS-LES simulation of the buoyant flow in a differentially heated square cavity with an improved resolution criterion ⋮ Numerical modeling of laminar and chaotic natural convection flows using a non-residual dynamic VMS formulation ⋮ Large eddy simulation of the differentially heated cubic cavity flow by the spectral element method ⋮ Direct numerical simulation of a differentially heated cavity of aspect ratio 4 with Rayleigh numbers up to \(10^{11}\). I: Numerical methods and time-averaged flow ⋮ Application of the local RBF collocation method to natural convection in a 3D cavity influenced by a magnetic field ⋮ Implementation of arbitrary inner product in the global Galerkin method for incompressible Navier-Stokes equations

Cites Work

• Accurate solutions to the square thermally driven cavity at high Rayleigh number
• Computation of natural convection in two-dimensional cavities with Chebyshev polynomials
• Natural convection in a square cavity: A comparison exercise
• Transient flow in a side-heated cavity at high Rayleigh number: a numerical study
• On the high-Rayleigh-number structure of steady laminar natural-convection flow in a square enclosure
• Influence of Prandtl number on instability mechanisms and transition in a differentially heated square cavity

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