AMRVAC: a multidimensional grid-adaptive magnetofluid dynamics code. We present the results obtained with AMRVAC, a software package designed for solution-adaptive time-accurate (magneto)hydrodynamic simulations. In any dimensionality, the grid adjusts to capture shocks and other sharp flow features accurately following an automated Adaptive Mesh Refinement [AMR] strategy. This grid adaptation algorithm is incorporated with the Versatile Advection Code [VAC], so that it can be used to time-advance sets of conservation laws with options for the spatial discretization employed. We demonstrate and evaluate the efficiency achievable by AMR for 1D, 2D, and 3D test problems and describe the employed data structures.