WhiskyMHD solves the full set of general-relativistic magnetohydrodynamics equations in a dynamical and arbitrary spacetime with high-resolution shock-capturing techniques on domains with adaptive mesh refinements.
For details, see:
B. Giacomazzo, L. Rezzolla, “WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics”, Class. Quantum Grav. 24, S235 (2007)