The Sun is our nearest star; it is also the most important star that determines life on Earth. A
large variety of phenomena observed on the Sun's surface, with potential impact on Earth, is …

The Sun's magnetic field is the engine and energy source driving all phenomena collectively
defining solar activity, which in turn structures the whole heliosphere and significantly …

This paper reviews recent advances and current debates in modeling the solar cycle as a
hydromagnetic dynamo process. Emphasis is placed on (relatively) simple dynamo models …

We report on a global magnetohydrodynamical simulation of the solar convection zone,
which succeeds in generating a large-scale axisymmetric magnetic component …

We review the state of the art of three dimensional numerical simulations of solar and stellar
dynamos. We summarize fundamental constraints of numerical modelling and the …

Several recent advances in turbulent dynamo theory are reviewed. High resolution
simulations of small-scale and large-scale dynamo action in periodic domains are compared …

Young solar-type stars rotate rapidly and many are magnetically active. Some appear to
undergo magnetic cycles similar to the 22 yr solar activity cycle. We conduct simulations of …

Convection in the solar interior is thought to comprise structures on a spectrum of scales.
This conclusion emerges from phenomenological studies and numerical simulations, though …

We report on simulations of turbulent, rotating, stratified, magnetohydrodynamic convection
in spherical wedge geometry. An initially small-scale, random, weak-amplitude magnetic …

Recent progress in astrophysical hydromagnetic turbulence is being reviewed. The physical
ideas behind the now widely accepted Goldreich–Sridhar model and its extension to …