What are the key design parameters for an afterburner, and are there recommended methods or tools for accurate calculations and sizing?

I am currently designing an afterburner for a jet engine project and seeking guidance on critical parameters for its design. Specifically, I would like to understand:

1. The optimal sizing and geometry of the afterburner for efficient thrust augmentation.

2. Key parameters such as fuel injection rate, flame stability, pressure drop, and temperature limits.

3. Methods for calculating the required airflow distribution and heat addition for various operating conditions.

4. Recommendations for simulation tools or empirical methods to predict performance, including combustion and thermal stresses.

If you have experience in designing or modelling afterburners, I would appreciate any insights, formulas, or references that could assist in improving the accuracy of my calculations and design.