A route to chaos in Rayleigh-Bénard heat convection
From MaRDI portal
Publication:831434
DOI10.1007/s00021-022-00659-6zbMath1491.76067OpenAlexW4220714521MaRDI QIDQ831434
Takaaki Nishida, Chun-Hsiung Hsia
Publication date: 23 March 2022
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-022-00659-6
Fourier seriesstream functionglobal bifurcation diagramOberbeck-Boussinesq equationstemperature functionperiod doubling scenario
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Free convection (76R10) Convection in hydrodynamic stability (76E06) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- Unnamed Item
- Unnamed Item
- On two-dimensional cell patterns
- A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh-Bénard problems
- The Hopf bifurcation theorem in infinite dimensions
- A generalized Lorenz system
- A numerical verification of nontrivial solutions for the heat convection problem
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- On Chorin's method for stationary solutions of the Oberbeck-Boussinesq equation
- On the stability of the Boussinesq equations
- A numerical method for solving incompressible viscous flow problems
- Existence and nonuniqueness of rectangular solutions of the Benard problem
- Bifurcation in Nonlinear Hydrodynamic Stability
- Deterministic Nonperiodic Flow
- Large-amplitude Bénard convection
- The numerical solution of the Navier-Stokes equations for an incompressible fluid
- Numerical Solution of the Navier-Stokes Equations
- Two-dimensional Rayleigh-Benard convection
This page was built for publication: A route to chaos in Rayleigh-Bénard heat convection