FEGC 1.0: Flow Energy Gradient Calculator as a toolbox for predicting fluid flow instability initiation locus

The Flow Energy Gradient Calculator (FEGC) is a Fortran-based tool designed to analyze fluid instability by calculating the energy gradient ratio, offering insights into flow stability and identifying loci for instability initiation and chaos. FEGC 1.0 provides a robust algorithm for detailed energy gradient analysis in fluid dynamics, particularly in two-dimensional fields. However, it faces challenges such as limited scalability, lack of a graphical user interface (GUI), and restricted integration with other tools. Future developments will address these limitations, enhancing scalability, adding a GUI, and expanding applicability to three-dimensional flow fields.