The effect of boundary conditions on the onset of chaos in Rayleigh-Bénard convection using energy-conserving Lorenz models
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Publication:821906
DOI10.1016/j.apm.2020.06.062zbMath1481.76068OpenAlexW3040957360MaRDI QIDQ821906
C. Kanchana, Zhao Yi, Pradeep G. Siddheshwar
Publication date: 21 September 2021
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2020.06.062
Artificial neural networks and deep learning (68T07) Navier-Stokes equations for incompressible viscous fluids (76D05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
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Cites Work
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- Statistics and scaling in turbulent Rayleigh-Bénard convection
- Analytic self-similar solutions of the Oberbeck-Boussinesq equations
- Internally heated convection and Rayleigh-Bénard convection
- Amplitude equation and heat transport for Rayleigh-Bénard convection in Newtonian liquids with nanoparticles
- The local structure of a chaotic attractor in four dimensions
- A generalized Lorenz system
- The energy method, stability, and nonlinear convection.
- Rayleigh-Bénard and Marangoni magnetoconvection in Newtonian liquid with thermorheological effects
- Comparison of the effects of three types of time-periodic body force on linear and non-linear stability of convection in nanoliquids
- Regular and chaotic Rayleigh-Bénard convective motions in methanol and water
- Generalized Lorenz models and their routes to chaos. II: Energy-conserving horizontal mode truncations
- The transition from roll to square-cell solutions in Rayleigh–Bénard convection
- ON THE EXPANSION OF FUNCTIONS WHICH SATISFY FOUR BOUNDARY CONDITIONS
- Finite amplitude cellular convection
- Cellular convection with finite amplitude in a rotating fluid
- Nonlinear thermal convection with finite conducting boundaries
- Nonlinear convection in a layer with nearly insulating boundaries
- The onset of transient convective instability
- Bounded Solutions of Finite Dimensional Approximations to the Boussinesq Equations
- Rayleigh-bénard convection with one free and one rigid boundary
- The effect of boundary properties on controlled Rayleigh–Bénard convection
- Deterministic Nonperiodic Flow
- Nonlinear Rayleigh–Bénard convection between poorly conducting boundaries
- Transition to geostrophic convection: the role of the boundary conditions
- Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile
- Surface tension and buoyancy effects in cellular convection
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