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Fig. 1

image

A) Temporal evolution of the poloidal field (a); B) the toroidal field (b) and C) the azimuthal velocity field (u) as a function of depth, over one magnetic cycle, for a fully relaxed simulation (τ = 100). Blue lines correspond to the first half of the cycle, while red lines are for the second half. For the velocity field, only half a cycle is shown as profiles are superimposed for the second half. Lines become darker as time increases. ξ = 0 is the top of the tachocline (R = 0.718 R) and ξ = 1, the bottom of the domain (R = 0.646 R). The black line is the azimuthal velocity amplitude averaged over one cycle. The skin depth (dashed line and Eq. (1)) and the initial condition for u (dash-dotted line) are shown. Model parameters values for this solution are listed in Table 1 and the phase shift between both magnetic components is set at φ = π/ 2.

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