Abstract　 　　  

  The talk will present the open source MPI-AMRVAC simulation toolkit [Keppens et al., 2012, JCP 231, 718; Porth et al., 2014, ApJS 214, 4], with a focus on solar physical applications modeled by its magnetohydrodynamic module. Spatial discretizations available cover standard shock-capturing finite volume algorithms, but also extensions to conservative high-order finite difference schemes, both employing many flavors of limited reconstruction strategies. Multi-step explicit time stepping includes strong stability preserving high order Runge-Kutta steppers to obtain stable evolutions in multi-dimensional applications realizing up to fourth order accuracy in space and time. The parallel scaling of the code is discussed and we obtain excellent weak scaling up to 30000 processors allowing to exploit modern peta-scale infrastructure.

  Solar physics applications target the formation of flux rope topologies through boundary-driven shearing of magnetic arcades, following the in situ condensation of prominences in radiatively controlled evolutions of arcades and fluxropes, and the enigmatic phenomenon of coronal rain, where small-scale condensations repeatedly form and rain down in thermodynamically structured magnetic arcades.

 (Division Chair, Centre for mathematical Plasma Astrophysics Department of Mathematics, KU Leuven, Beigium)