There is a broad consensus that accretion onto supermassive black holes and consequent
jet formation power the observed emission from active galactic nuclei (AGNs). However …

Accurate numerical solutions of the equations of hydrodynamics play an ever more
important role in many fields of astrophysics. In this work, we reinvestigate the accuracy of …

In this review, the equations of hydrodynamics, magnetohydrodynamics, and radiation
hydrodynamics are presented, together with their corresponding nonideal source terms. I …

Recently, we explored new meshless finite-volume Lagrangian methods for hydrodynamics:
the 'meshless finite mass'(MFM) and 'meshless finite volume'(MFV) methods; these capture …

In numerical magnetohydrodynamics (MHD), a major challenge is maintaining. Constrained
transport (CT) schemes achieve this but have been restricted to specific methods. For more …

The modeling of multi-scale and multi-physics complex systems typically involves the use of
scientific software that can optimally leverage extreme scale computing. Despite major …

We perform uniformly sampled large-scale cosmological simulations including magnetic
fields with the moving mesh code arepo. We run two sets of MHD simulations: one including …

Especially in cold and high-density regions, the assumptions of ideal
magnetohydrodynamics (MHD) can break down, making first order non-ideal terms such as …

Several advances have been reported in the recent literature on divergence-free finite
volume schemes for Magnetohydrodynamics (MHD). Almost all of these advances are …

The magnetorotational instability (MRI) is an important process in sufficiently ionized
accretion discs, as it can create turbulence that acts as an effective viscosity, mediating …