Study of spiral pattern formation in Rayleigh-Benard convection
Hao-wen Xi, J.D. Gunton, Jorge Vinals
TL;DR
This paper presents a numerical study of spiral pattern formation in Rayleigh-Bénard convection using a generalized Swift-Hohenberg model, highlighting the role of mean flow and non-Boussinesq effects in spiral emergence.
Contribution
It introduces a novel model capable of predicting spiral pattern formation in Rayleigh-Bénard convection, aligning well with experimental observations.
Findings
Model predicts spontaneous spiral formation from hexagon states.
Mean flow and non-Boussinesq effects are essential for spiral formation.
Results agree with recent experimental studies.
Abstract
We present a numerical study of a generalized two-dimensional Swift-Hohenberg model of spiral pattern formation in Rayleigh-B\'enard convection in a non-Boussinesq fluid. We demonstrate for the first time that a model for convective motion is able to predict in considerable dynamical detail the spontaneous formation of a rotating spiral state from an ordered hexagon state. Our results are in good agreement with recent experimental studies of gas. The mean flow and non-Boussinesq effects are shown to be crucial in forming rotating spirals.
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