Atmosphere and Ocean Dynamics

PhD course · Politecnico di Milano · November 2026

Prof. Pedro S. Peixoto (IME-USP; visiting professor at MOX, Politecnico di Milano).

This page: www.ime.usp.br/~pedrosp/courses/polimi-cgfd; mirror, if it is down: pedrospeixoto.github.io/polimi-cgfd.

Lectures

# Topic Material Notebooks
0 About the course; set-up and a short review Slides · Notes —
1 A historical overview of atmosphere and ocean dynamics Slides · Notes 01
2 The equations of motion from basic principles Slides · Notes 02a · 02b · 02c
3 Reduced models: scales, balance and waves Slides · Notes 03a · 03b
4 The vertical slice: buoyancy, convection and mountain waves Slides · Notes 04a · 04b · 04c · 04d
5 Finite differences: time stepping, advection and the CFL condition Slides · Notes 05a · 05b · 05c
6 Finite volumes: conservation and the 2D shallow water equations Slides · Notes 06a · 06b · 06c
7 Spectral methods and the ECMWF model Slides · Notes 07a · 07b · 07c
8 Finite elements: from Galerkin to discontinuous Galerkin, with Firedrake Slides · Notes 08a · 08b · 08c · 08d · 08e
9 Modern weather, ocean and climate models Slides · Notes 09a
10 Data-driven weather forecasts: assimilation, reanalysis and AI models Slides · Notes 10a