Active galactic nuclei (AGN) show variability over both intra day and longer time scales. This characteristic has been the topic of many recent studies especially the investigation of correlation between multi-wavelength components. The variability can be investigated through numerical hydrodynamics. In this study an ideal relativistic hydrodynamic jet was simulated in order to investigate the instabilities which form in the jet as a source of variability in AGN. A synchrotron delta-approximation model was applied to the hydrodynamical environment in order to obtain an estimate of the intensity emitted at an example frequency of 15 GHz. This frequency was chosen such that the estimated intensity maps could be comparable to the MOJAVE survey. The tools used in such a hydrodynamic model can be applied to other transient sources such as X-ray binaries which have been shown to produce jet-like components.