The effect of boundary conditions on the onset of chaos in Rayleigh-Bénard convection using energy-conserving Lorenz models
type: Item
instance of: scholarly article
title: The effect of boundary conditions on the onset of chaos in Rayleigh-Bénard convection using energy-conserving Lorenz models
zbMATH Open document ID: 1481.76068
author: C. Kanchana
author: Zhao Yi
author: P. G. Siddheshwar
published in: Applied Mathematical Modelling
publication date: 2021-09-21T00:00:00Z
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 68T07
zbMATH DE Number: 7398183
zbMATH Keywords: chaos
zbMATH Keywords: Fourier-Galerkin
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: Lorenz model
zbMATH Keywords: Rayleigh-Bénard convection
zbMATH Keywords: Stuart-Landau equation
MaRDI profile type: Publication
full work available at URL: j.apm.2020.06.062
OpenAlex ID: W3040957360
cites work: Cellular convection with finite amplitude in a rotating fluid
cites work: ON THE EXPANSION OF FUNCTIONS WHICH SATISFY FOUR BOUNDARY CONDITIONS
cites work: Q5518219
cites work: Q3896709
cites work: Q4379552
cites work: Q4162803
cites work: Q4174647
cites work: Transition to geostrophic convection: the role of the boundary conditions
cites work: The onset of transient convective instability
cites work: Rayleigh-bénard convection with one free and one rigid boundary
cites work: Nonlinear Rayleigh–Bénard convection between poorly conducting boundaries
cites work: The effect of boundary properties on controlled Rayleigh–Bénard convection
cites work: Surface tension and buoyancy effects in cellular convection
cites work: Nonlinear convection in a layer with nearly insulating boundaries
cites work: The transition from roll to square-cell solutions in Rayleigh–Bénard convection
cites work: Nonlinear thermal convection with finite conducting boundaries
cites work: Rayleigh-Bénard and Marangoni magnetoconvection in Newtonian liquid with thermorheological effects
cites work: Finite amplitude cellular convection
cites work: The energy method, stability, and nonlinear convection.
cites work: Amplitude equation and heat transport for Rayleigh-Bénard convection in Newtonian liquids with nanoparticles
cites work: Comparison of the effects of three types of time-periodic body force on linear and non-linear stability of convection in nanoliquids
cites work: Deterministic Nonperiodic Flow
cites work: The local structure of a chaotic attractor in four dimensions
cites work: A generalized Lorenz system
cites work: Bounded Solutions of Finite Dimensional Approximations to the Boussinesq Equations
cites work: Generalized Lorenz models and their routes to chaos. II: Energy-conserving horizontal mode truncations
cites work: Q3135098
cites work: Internally heated convection and Rayleigh-Bénard convection
cites work: Statistics and scaling in turbulent Rayleigh-Bénard convection
cites work: Analytic self-similar solutions of the Oberbeck-Boussinesq equations
cites work: Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile
cites work: Regular and chaotic Rayleigh-Bénard convective motions in methanol and water
DOI: 10.1016/J.APM.2020.06.062
description: scientific article; zbMATH DE number 7398183