Abstract
The convective stability thresholds and nonlinear spatiotemporal evolution of convective rolls in a plane horizontal layer subject to steady gravity and high-frequency transversal vibration are numerically investigated considering a laterally periodic convective cell with rigid, impermeable horizontal boundaries. Simulations are performed for parameters adapted to laboratory experiments with an ethanol-water mixture with negative Soret coupling between temperature and concentration gradients. The characteristics of the wave and steady patterns are investigated depending on heat and vibration intensities. The weakly nonlinear traveling wave and modulated traveling wave are found as stable solutions within certain domains of parameters. Temporal Fourier decomposition is used together with other diagnostic tools to analyze the complex bifurcation and spatiotemporal properties that are caused by the interplay of the high-frequency vibrations, Soret induced gradients, and mixing of the fluid.
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