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Powerful shallow-water implementations in pure Python

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# Shallow-water modelling in Python

This repository contains two implementations of the shallow-water equations that are suitable to study a wide range of wave and ocean circulation phenomena, including non-linear effects.

They are a product of the [Bornö summer school 2018](https://nbiocean.bitbucket.io/bornoe2018b/), led by [Markus Jochum](https://www.nbi.ku.dk/english/staff/?pure=en/persons/437464) and [Carsten Eden](https://www.ifm.uni-hamburg.de/en/institute/staff/eden.html).

A preview of the non-linear setup:

![Nonlinear model spin-up](https://raw.githubusercontent.com/dionhaefner/shallow-water/master/preview.gif)

## Features

### Simple (linear) implementation

- Mass conserving on (Cartesian) Arakawa C-grid
- Mixed-time discretization
- Coriolis force on an f-plane
- Conditionally stable for `Δt <= √2 / f`

### Fully non-linear implementation

All features of the simple implementation, plus...

- Adams-Bashforth time stepping scheme
- Lateral friction
- Varying Coriolis parameter (β-plane)
- Fully non-linear momentum and continuity equations
- Energy conserving scheme by Sadourny (1975)
- Rigid or periodic boundary conditions

## Problems?

Feel free to [open an issue](https://github.com/dionhaefner/shallow-water/issues) or [submit a PR](https://github.com/dionhaefner/shallow-water/pulls)!

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