Recent improvements in the algorithms and associated processes have resulted in significant improvements in the users' ability to obtain aeroacoustics analysis of hot supersonic jets in a timely manner using only moderate computational resources. This paper discusses these approaches using the example of the Compressible High Order Parallel Acoustics (CHOPA) solver. The fundamental strategy looks to balance computational expense with the accuracy required to predict the most important effects. The objective is to resolve the larger eddies accurately, but exchanges the resolution of fine turbulent structures in return for decreased computational resource requirements. These strategies continue to be developed, along with the corresponding software. As the work progresses, the team expects additional improvements in the near future.