Mathematical Climate Modelling: El Niño–Southern Oscillation (ENSO)

This repository contains the code and presentation materials for a research project on mathematical climate modelling using Python.

Overview

• ENSO can be mathematically modelled using coupled PDEs describing interactions between sea surface temperature, the atmosphere, and the ocean.
• The PDEs are discretized using finite differences for numerical simulation, enabling the computation of the observed temperature T over space and time.
• Dimensionality reduction via proper orthogonal decomposition is applied to reduce the system's dimension from 2000 to 4.
• The SINDy algorithm is used to identify an ODE model for the dynamical system.

Built With

• Python (NumPy, Matplotlib, PySINDy, pandas)

Setup

1. Clone the repo:

   git clone https://github.com/ericahan22/ENSO-modelling.git
   cd ENSO-modelling

2. Install dependencies:

   pip install -r requirements.txt

3. Open the notebook:

   jupyter notebook ENSO_model.ipynb