Abstract

An MHD extension of the hydrodynamical solver EULAG [1] has been recently shown to simulate regular magnetic cycles and dynamo action, unprecedented in global simulations of solar magneto-convection [2, 3]. The lecture will highlight the mathematical and numerical features distinguishing EULAG from standard anelastic solar codes, including generalized time-dependent coordinate transformation and nonoscillatory forward-in-time integration schemes. The results illustrate advantages of the implicit large-eddy-simulation (ILES) approach, together with evidence that treatment of small scales may be critical for the production of cyclic behaviour and regular polarity reversals in this type of global simulations.

References: [1] Prusa et al., Comput. Fluids 37, 1193 (2008); [2] Ghizaru et al., ApJL 715, L133 (2010); et al., ApJ 735, 46 (2011) .