Wavelet-based parallel dynamic mesh adaptation for magnetohydrodynamics in the AMROC framework

Computational magneto-hydrodynamics (MHD) for space physics has become an essential area in understanding the multi-scale dynamics of geophysical and astrophysical plasma processes, partially motivated by the lack of space data. Full MHD simulations are typically very demanding and may require substantial computational efforts. In particular, computational space-weather forecasting is an essential long-term goal in this area, motivated by the needs of modern satellite communication technology. We present a new feature of a recently developed compressible two- and three-dimensional MHD solver, which the parallel AMROC (Adaptive Mesh Refinement in Object-oriented C++) framework has successfully implemented with improvements concerning the mesh adaptation criteria based on wavelet techniques. The developments are related to computational efficiency while controlling the precision using dynamically adapted meshes in space-time in a fully parallel context.