A Route to Chaos in Rayleigh–Bénard Heat Convection

We use numerical methods to study the global bifurcation diagrams of the Bénard convection problem. In our computations, we include a huge number of Fourier modes of stream function and temperature function so that our results reflect more reality of the dynamics of the Rayleigh–Bénard heat convecti...

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Veröffentlicht in:	Journal of mathematical fluid mechanics 2022-05, Vol.24 (2), Article 38
Hauptverfasser:	Hsia, Chun-Hsiung, Nishida, Takaaki
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Continuum Physics Convection Fluid mechanics Fluid- and Aerodynamics Heat transfer Mathematical Methods in Physics Numerical methods Period doubling Physics Physics and Astronomy Theoretical mathematics Yoshihiro Shibata
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Beschreibung
Zusammenfassung:	We use numerical methods to study the global bifurcation diagrams of the Bénard convection problem. In our computations, we include a huge number of Fourier modes of stream function and temperature function so that our results reflect more reality of the dynamics of the Rayleigh–Bénard heat convection. Our results confirm that the period doubling scenario is a route to chaos.
ISSN:	1422-6928 1422-6952
DOI:	10.1007/s00021-022-00659-6