Differentiable Ocean Models

Shallow Water Model

CNRS
MEOM

Examples

We have a few examples of how one can use the Shallow water equations to generate some simulations under different parameter regimes.

Linear SWM

Jupyter Notebook

In this example, we look at the linearized shallow water model given by:

∂th+H(∂xu+∂yv)=0∂tu−fv=−g∂xh−κu∂tv+fu=−g∂yh−κv\begin{aligned} \partial_t h &+ H \left(\partial_x u + \partial_y v \right) = 0 \\ \partial_t u &- fv = - g \partial_x h - \kappa u \\ \partial_t v &+ fu = - g \partial_y h - \kappa v \end{aligned}
(1)

We demonstrate how we can

Physical Models
Quasi-Geostrophic
Examples
State Estimation