Introduction to Ocean and Atmospheric Wave Dynamics

Discover how energy moves through our planet's oceans and atmosphere. This text-based course guides you through the fundamental physics of geophysical wave motions, explaining the invisible forces that shape weather systems and ocean currents. You will develop a solid foundation in fluid dynamics, learning how rotation and stratification influence wave behavior. By analyzing classic wave types and modern climate modeling concepts, you will gain the skills to interpret real-world planetary fluid movements. What you'll learn: - Understand core wave principles like phase velocity, group velocity, and dispersion. - Analyze gravity waves, internal waves, and inertial waves in stratified fluids. - Explore planetary-scale wave phenomena including Kelvin, Poincare, and Rossby waves. - Apply the Laplace tidal equations to equatorial wave dynamics. - Examine wave-mean flow interactions, potential vorticity, and fluid instabilities. - Connect classic wave theories to modern atmospheric observation and climate modeling techniques. The course begins with foundational definitions of fluid properties and basic wave mechanics before progressing to complex rotating systems, equatorial dynamics, and modern environmental applications. You will practice through structured written derivations, conceptual exercises, and step-by-step mathematical walkthroughs. This course is designed for beginners in geophysics, meteorology, oceanography, or physics who want to master fluid dynamics. Start reading today to unlock the mathematical beauty behind our planet's global circulation systems.