Comparative analysis of Eulerian and Lagrangian methodologies with Cloud Model 1

This research project is performing comparative analysis of Eulerian and Lagrangian methodologies using CM1 numerical model data, focusing specifically on atmospheric transport and mixing processes. These comparisons highlight weather observation distinctions between traditional weather balloons and the increasingly utilized weather UAS. While Eulerian methods offer computational simplicity by analyzing atmospheric fields at fixed grid points, Lagrangian methods provide insights into fluid parcel histories by tracking individual trajectories through the flow field. Utilizing high-resolution CM1 simulations, this project quantitatively assesses how each method captures the dynamics of convective structures, dispersion patterns, and scalar transport. Metrics such as trajectory accuracy, conservation of physical quantities, and computational efficiency are employed to highlight the strengths and limitations of each approach. This comparison will not only clarify methodological choices in atmospheric modeling but also guide researchers toward optimal strategies for investigating atmospheric convection and mixing phenomena.