Abstract
Newtonian magnetohydrodynamics (MHD) is a very special limit of Maxwell’s equations and plasma dynamics. In the last 10 years, powerful numerical algorithms and computational methods have been developed for simulating the time-evolution of magnetic field configurations in the astrophysical environment. The most recent trends go in the direction of fully conservative schemes and adaptive mesh refinement for large-scale supercomputing. The most popular codes in use in astrophysics are briefly discussed, together with their strengths and pitfalls. Progress in understanding fundamental MHD processes have been achieved in the field of flux tube dynamics, magnetic turbulence in accretion and galactic disks, magnetic Herbig--Haro flows from young stellar objects and the evolution of primordial magnetic fields in galaxy clusters.
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Camenzind, M. Numerical Magnetohydrodynamics in Astrophysics. In: Wielebinski, R., Beck, R. (eds) Cosmic Magnetic Fields. Lecture Notes in Physics, vol 664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540313966_10
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