Inference of horizontal velocity fields from the induction equation in the solar atmosphere - I. Analytical and numerical solutions in 2D

Open Access

Fig. 4.

Velocity field maps in the plane (y, z). Panel (a) shows the velocity field defined analytically: v = (v_y, v_z) (see Eqs. (21) and (22)), whereas panel (b) provides the inferred velocity field: $\tilde{v} = (\tilde{v_{y}}, v_{z})$ $Mathematical equation: $ \widetilde{\mathbf{v}} = (\widetilde{v_y},v_z) $$ . The modulus of the vectors is encoded in the color of the arrows as indicated in the color bar.

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