Interactive pedagogical notebooks exploring the mathematics and physics of rotating, stratified geophysical flows. Each notebook runs entirely in your browser via WebAssembly — no installation required.
2D thermal convection in a Boussinesq fluid heated from below. Truncating the governing equations to three Fourier amplitudes yields the Lorenz (1963) system — the canonical model of deterministic chaos and the original "butterfly effect."
Linearised shallow water equations on a rotating beta-plane. A Gaussian height perturbation simultaneously radiates fast inertia-gravity waves and slowly adjusts toward geostrophic balance, with Rossby waves drifting westward via the β-effect.
Decaying turbulence governed by the 2D incompressible Navier-Stokes equations in vorticity-streamfunction form. Unlike 3D turbulence, energy cascades upscale while enstrophy cascades to small scales — a consequence of the additional conservation law in two dimensions.
Internal waves propagate through a stably stratified fluid, carrying energy at angles set by the ratio of wave frequency to the Brunt-Väisälä frequency. Their peculiar dispersion relation — energy and phase propagate perpendicular to each other — makes them unlike any surface wave.