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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 and time. Weimplement the general relativistic extension for the moving-mesh relativistichydrodynamic code, JET, and develop a tetrad formulation to utilize theHarten-Lax-van Leer Contact (HLLC) Riemann solver in the general relativisticmoving-mesh code. The new framework is able to trace the radial movement ofrelativistic jets from central regions where strong gravity holds all the wayto distances of jet dissipation.

Bridging relativistic jets from black hole scales to long-term  electromagnetic radiation distances: A moving-mesh general relativistic  hydrodynamics code with the HLLC Riemann solver