Density maps from a two-dimensional simulation of a relativistic jet propagating through the circumnuclear medium surrounding a 10⁷ M_⊙ black hole at t = 7, 47, and 380 days (left to right). The jet is injected at the inner boundary with Lorentz factor Γ_jet = 10, isotropic-equivalent energy E_iso = 4 × 10⁵³ erg, and a luminosity history corresponding to the fallback-powered model shown in Figure 1. The interaction of the jet with the ambient medium produces the characteristic forward and reverse shock structure while inflating a hot cocoon that expands laterally and confines the relativistic jet. The physical scale shown in each panel increases with time: the horizontal bars correspond to 3 × 10¹⁵, 3 × 10¹⁶, and 3 × 10¹⁷ cm, respectively. The simulation is performed on a spherical polar grid extending from 3 × 10¹⁵ to 2 × 10¹⁸ cm with a jet half-opening angle θ_jet = 0.1 rad. The computational grid is resolved with 200 × 2 cells in the radial and polar directions and 14 levels of adaptive mesh refinement.