  Computational astrophysics routinely combines grid-adaptive capabilities with
modern shock-capturing, high resolution spatio-temporal schemes on
multi-dimensional hydro- and magnetohydrodynamics. We provide an update on
developments within the open-source MPI-AMRVAC code. With online documentation,
the MPI-AMRVAC 3.0 release includes several added equation sets, and many
options to explore and quantify the influence of implementation details.
Showcasing this on a variety of hydro and MHD tests, we document new modules of
interest for state-of-the-art solar applications. Test cases address how higher
order reconstructions impact long term simulations of shear layers, with and
without gas-dust coupling, how runaway radiative losses transit to intricate
multi-temperature, multi-phase dynamics, and how different flavors of
spatio-temporal schemes and magnetic monopole control produce consistent MHD
results in combination with adaptive meshes. We demonstrate Super-Time-Stepping
strategies for specific parabolic terms and give details on all implemented
Implicit-Explicit integrators. A new magnetofrictional module can be used for
computing force-free magnetic fields or for data-driven time-dependent
evolutions, while the Regularized-Biot-Savart-Law approach can insert fluxropes
in 3D domains. Synthetic observations of 3D MHD simulations can be rendered
on-the-fly, or in post-processing, in many spectral wavebands. A particle
module and a generic fieldline tracing, compatible with the hierarchical
meshes, can be used to sample information at prescribed locations, to follow
dynamics of charged particles, or realize two-way coupled simulations between
MHD setups and field-aligned non-thermal processes. Highlighting the latest
additions and various technical aspects, our open-source strategy welcomes any
further code usage, contribution, or spin-off development.
