General Relativistic Resistive MHD with Whisky

Daniela Delia Alic

May 07, 2012

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Abstract: We present a new numerical implementation of the general-relativistic resistive magnetohydrodynamics (GR-RMHD) equations within the Whisky code. The numerical method adopted exploits the properties of Implicit-Explicit Runge-Kutta (RKIMEX) numerical schemes to treat the stiff terms of the equations. Using tests in 1D, 2D and 3D we show that our method is robust and is capable of describing physical setups in all ranges of conductivities, recovering the ideal-MHD limit in regimes of very high conductivity. In addition to tests in flat spacetime, we report simulations of magnetized non-rotating stars in dynamical spacetimes.