A Synchronized Two-Dimensional [Formula: see text] –[Formula: see text] Model of the Solar Dynamo

We consider a conventional [Formula: see text] –[Formula: see text] -dynamo model with meridional circulation that exhibits typical features of the solar dynamo, including a Hale-cycle period of around 20 years and a reasonable shape of the butterfly diagram. With regard to recent ideas of a tidal synchronization of the solar cycle, we complement this model by an additional time-periodic [Formula: see text] -term that is localized in the tachocline region. It is shown that amplitudes of some decimeters per second are sufficient for this [Formula: see text] -term to become capable of entraining the underlying dynamo. We argue that such amplitudes of [Formula: see text] may indeed be realistic, since velocities in the range of m s(−1) are reachable, e.g., for tidally excited magneto–Rossby waves. SUPPLEMENTARY INFORMATION: The online version contains supplementary material available at 10.1007/s11207-023-02173-y.