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Computational magnetohydrodynamics (MHD) for space physics has become anessential area in understanding the multiscale dynamics of geophysical andastrophysical plasma processes, partially motivated by the lack of space data.Full MHD simulations are typically very demanding and may require substantialcomputational efforts. In particular, computational space-weather forecastingis an essential long-term goal in this area, motivated for instance by theneeds of modern satellite communication technology. We present a new feature ofa recently developed compressible two- and three-dimensional MHD solver, whichhas been successfully implemented into the parallel AMROC (Adaptive MeshRefinement in Object-oriented C++) framework with improvements concerning themesh adaptation criteria based on wavelet techniques. The developments arerelated to computational efficiency while controlling the precision usingdynamically adapted meshes in space-time in a fully parallel context.

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