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A possible explanation for the apparent phase stability of the 11.07-yearSchwabe cycle of the solar dynamo was the subject of a series of recent papers.The synchronization of the helicity of an instability with azimuthal wavenumberm=1 by a tidal m=2 perturbation played a key role here. To analyze this type ofinteraction in a paradigmatic set-up, we study a thermally drivenRayleigh-B\'enard Convection (RBC) of a liquid metal under the influence of atide-like electromagnetic forcing. As shown previously, the time-modulation ofthis forcing emerges as a peak frequency in the m=2 mode of the radial flowvelocity component. In this paper we present new numerical results on theinterplay between the Large Scale Circulation (LSC) of a RBC flow and the timemodulated electromagnetic forcing.

Numerical simulation of tidal synchronization of the large-scale circulation in Rayleigh-B\'enard convection with aspect ratio 1