Juri Toomre, JILKA, Univ Colorado .

The intensely turbulent solar convection zone exhibits a differential rotation profile that we can now largely understand through 3-D simulations carried out in full spherical shells of compressible convection coupled to rotation. However, the presence of a tachocline of shear at the base and the near-surface shear layer present interesting challenges to such modelling. In light of the helioseismic probing feasible with HMI, we discuss the elements of the solar global dynamo that may be clarified through observations and MHD simulations in the next few years. We also discuss features of giant-cell convection that may be capable of detection with high-resolution time-distance and ring diagram probing. .

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