Figure 4

Accuracy of the ultra-relativistic hot jets solution for the model with atmospheres with \(\pmb{\kappa=2}\) . The left panel shows the Lorentz factor at \(z=9\) for models with 150 (dotted), 300 (dot-dashed), 600 (dashed line) and 1,200 (solid line) grid points. The right panel show the total energy flux as a function of the distance from the nozzle for the model with 300 grid points.