GIZMO now solves ideal general-relativistic magnetohydrodynamics in a mesh-free framework, validated by standard SRMHD and GRMHD test problems.
General-Relativistic Magnetohydrodynamic Equations: the bare essential
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abstract
Recent years have seen a significant progress in the development of general relativistic codes for the numerical solution of the equations of magnetohydrodynamics in spacetimes with high and dynamical curvature. These codes are valuable tools to explore the large-scale plasma dynamics such as that takes place when two neutron stars collide or when matter accretes onto a supermassive black hole. This chapter is meant to provide a very brief but complete overview of the set of equations that are normally solved in modern numerical codes after they are cast into a conservative formulation within a 3+1 split of spacetime.
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A general relativistic magnetohydrodynamics extension to mesh-less schemes in the code GIZMO
GIZMO now solves ideal general-relativistic magnetohydrodynamics in a mesh-free framework, validated by standard SRMHD and GRMHD test problems.