Turbulent thermal convection in a finite domain: Part I. Theory

DOI10.1063/1.857572zbMath0709.76062OpenAlexW2062262596MaRDI QIDQ3493982

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Publication date: 1990

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857572

zbMATH Keywords

turbulent flowsKarhunen-Loève procedureRayleigh- Bénard convectionemprical eigenfunctionsfinite boxfully inhomogeneous flowsGroup theoretical considerations

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Dynamical systems approach to turbulence (76F20)

Related Items (15)

Two-dimensional buoyancy driven thermal mixing in a horizontally partitioned adiabatic enclosure ⋮ Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders ⋮ Turbulent thermal convection in a finite domain: Part II. Numerical results ⋮ A POD reduced-order model for eigenvalue problems with application to reactor physics ⋮ Low-dimensional models from upper bound theory ⋮ A Karhunen-Loève least-squares technique for optimization of geometry of a blunt body in supersonic flow. ⋮ Low-order dynamical model for low-Prandtl number fluid flow in a laterally heated cavity ⋮ Multi-parameter model reduction in multi-scale convective systems ⋮ The structure of turbulent boundary layers in the wall region of plane channel flow ⋮ Aspect ratio dependence of heat transfer and large-scale flow in turbulent convection ⋮ A POD reduced order model for resolving angular direction in neutron/photon transport problems ⋮ POD analysis of coherent structures in forced turbulent flow over a fence ⋮ Development of POD reduced-order model and its closure scheme for 2D Rayleigh-Bénard convection ⋮ Reconstruction equations and the Karhunen-Loève expansion for systems with symmetry ⋮ A spatiotemporal decomposition of a fully inhomogeneous turbulent flow field

Cites Work

• Turbulent thermal convection in a finite domain: Part II. Numerical results
• The symmetry of convective transitions in space and time
• Characteristic-eddy decomposition of turbulence in a channel
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Numerical investigation of turbulent channel flow
• Convection in a box: linear theory
• On maintained convective motion in a fluid heated from below

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