Basics of Shallow Water Equations in Geophysical Fluid Dynamics

Learn the fundamental principles of shallow water equations in this lecture from the Moist Convective Dynamics of Monsoons program at the International Centre for Theoretical Sciences. Explore geophysical fluid dynamics concepts essential for understanding monsoon systems, cloud formations, and atmospheric phenomena. Delve into the mathematical framework used to model fluid behavior in scenarios where horizontal length scales significantly exceed vertical scales. Gain insights into how these equations help analyze various atmospheric processes including the Inter-Tropical Convergence Zone (ITCZ), cyclones, and the Madden-Julian oscillation (MJO). Master key concepts that form the foundation for studying complex weather patterns, climate modeling, and the organization of monsoon convection across different temporal and spatial scales.