GFM + Ocean Climate Modeling
Here are links to an ongoing book project for the study of Geophysical Fluid Mechanics (GFM). Much more work remains, though I am happy to receive feedback on any portion of the project. In addition to the text material, I have a solution manual for exercises that is available upon request from teachers.
- Volume 1: Foundations in mathematical physics and classical mechanics
- Volume 2: Mechanics and thermodynamics of fluid flows
- Volume 3: Shallow water flows, vorticity, nearly geostrophic flows, vertical coordinates, and scalar fields
- Volume 4: Hamilton's principle, waves, and instabilities
In 2004, I published a book on the fundamentals of ocean climate models, which develops the mathematical equations and methods used for ocean climate modeling circa 2004. Many elements of this book remain relevant today.