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Relativistic jets accompany the collapse of massive stars, the merger ofcompact objects, or the accretion of gas in active galactic nuclei. They carryinformation about the central engine and generate electromagnetic radiation. Noself-consistent simulations have been able to follow these jets from theirbirth at the black hole scale to the Newtonian dissipation phase, making theinference of central engine property through astronomical observationsundetermined. We present the general relativistic moving-mesh framework toachieve the continuity of jet simulations throughout space-time. We implementthe general relativistic extension for the moving-mesh relativistichydrodynamic code-JET, and develop a tetrad formulation to utilize the HLLCRiemann solver in the general relativistic moving mesh code. The new frameworkis able to trace the radial movement of the relativistic jets from the centralregion where strong gravity holds all the way to distances of jet dissipation.

Bridging Relativistic Jets from Black Hole Scales to Long-Term  Electromagnetic Radiation Distances: An Investigation Utilizing a Moving-Mesh  General Relativistic Hydrodynamics Code with HLLC Riemann Solver