Abstract
We study the solar-cycle variation of the divergence and vorticity of subsurface horizontal flows from the surface to a depth of 16 Mm. The flows were derived with ring-diagram analysis applied to Michelson Doppler Imager (MDI) Dynamics Program, Global Oscillation Network Group (GONG), and Helioseismic and Magnetic Imager (HMI) Dopplergrams. We study their variation for the complete data set and for two subsets representing active and quiet regions. All three data sets show alternating bands of diverging and converging flows and bands of cyclonic and anticyclonic flows moving from mid-latitudes toward the equator during a solar cycle. For Solar Cycle 24, these bands are precursors of the magnetic activity appearing several years before magnetic activity is present at a given latitude even leading the fast bands of the flows. The amplitude differences between the cyclonic and anticyclonic and the converging and diverging bands during a solar cycle agree within the error bars between the complete data set and the two subsets. For Solar Cycle 24, the amplitude differences are \(6.0 \pm 0.7 \;10^{-8}~\text{s}^{-1}\) for the bands of vorticity and \(-4.9 \pm 0.6\;10^{-8}~\text{s}^{-1}\) for those of divergence averaged over 2.0 – 11.6 Mm using the complete data set. The amplitude differences of Solar Cycle 23 are \(26 \pm 3\)% smaller than those of Solar Cycle 24. The flows of the active-region subset are more converging and cyclonic than those of the quiet-region subset with an extra vorticity of \(1.3 \pm 0.1 \;10^{-8}~\text{s}^{-1}\) and an extra divergence of \(-6.7 \pm 0.3\;10^{-8}~\text{s}^{-1}\) averaged over 7.5∘ – 30∘ and all depths and epochs. The amplitude of the extra divergence of active regions is about a factor of 1.3 larger at depths shallower than 6 Mm and decreases with increasing depth, while the extra vorticity is nearly constant with depth.
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Acknowledgements
The data used here are courtesy of NASA/SDO and the HMI Science Team. SOHO is a project of international cooperation between ESA and NASA. This work also utilizes GONG data obtained by the NSO Integrated Synoptic Program (NISP), managed by the National Solar Observatory, which is operated by the Association of Universities for Research in Astronomy (AURA), Inc. under a cooperative agreement with the National Science Foundation. Rachel Howe acknowledges support of the UK Science and Technology Facilities Council (STFC) and computing support from the National Solar Observatory. This work was supported by NASA grants 80NSSC18K1206, 80NSSC19K0261, and 80NSSC20K0194 to the National Solar Observatory and by NASA grant NNH18ZDA001N-DRIVE to Stanford University. We thank the referee for useful comments and suggestions.
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Komm, R., Howe, R. & Hill, F. Divergence and Vorticity of Subsurface Flows During Solar Cycles 23 and 24. Sol Phys 296, 73 (2021). https://doi.org/10.1007/s11207-021-01799-0
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DOI: https://doi.org/10.1007/s11207-021-01799-0