Rayleigh-Bénard convection in a newtonian liquid bounded by rigid isothermal boundaries

作者：

Highlights：

• Pitchfork bifurcation in the case of rigid boundaries is reported.

• A new Fourier-Galerkin expansion is proposed for rigid boundaries.

• Chaotic, mildly chaotic and periodic motions are reported.

• Results of rigid boundaries are compared with those of free boundaries.

摘要

•Pitchfork bifurcation in the case of rigid boundaries is reported.•A new Fourier-Galerkin expansion is proposed for rigid boundaries.•Chaotic, mildly chaotic and periodic motions are reported.•Results of rigid boundaries are compared with those of free boundaries.

论文关键词：Bifurcation diagram,Ginzburg-Landau,Hopf bifurcation,Isothermal,Lorenz,Maximum Lyapunov exponent,Rigid,Rayleigh-Bénard

论文评审过程：Received 30 April 2019, Revised 22 October 2019, Accepted 22 November 2019, Available online 18 December 2019, Version of Record 18 December 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.124942