  Fully adaptive computations of the resistive magnetohydrodynamic (MHD)
equations are presented in two and three space dimensions using a finite volume
discretization on locally refined dyadic grids. Divergence cleaning is used to
control the incompressibility constraint of the magnetic field. For automatic
grid adaptation a cell-averaged multiresolution analysis is applied which
guarantees the precision of the adaptive computations, while reducing CPU time
and memory requirements. Implementation issues of the open source code
CARMEN-MHD are discussed. To illustrate its precision and efficiency different
benchmark computations including shock-cloud interaction and magnetic
reconnection are presented.
