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El Niño

This project was made in collaboration with Adriana Voloshyna.

The El Niño southern oscillation is a weather phenomenon occuring
in the pacific ocean which results in unpredictable tempatures, specifically around the east coasts of the Americas and
west of Asia, but also has significant effects around the globe. Very quickly, what happens is that due to changes in
ocean current velocity and changing temperatures the ocean current changes direction which also results in changing
the expected temperatures for us on land. If you would like to know more click
here. A detailed version of our findings is in
the following link ElNino.pdf.
Also all the code that made this project on github

The following are the symplified equations describing this phenomenon where u, T_e and T_w are the only
properties changing in time t and the rest are constants. You may notice this system is vaguely reminiscent of
the Lorenz equations which they do behave similarly to.
$$\frac{du}{dt} = \frac{B}{\Delta x} (T_e - T_w) - C(u - u^*)$$
$$\frac{dT_e}{dt} = - \frac{uT_w}{2 \Delta x} - A(T_w - T^*)$$
$$\frac{dT_w}{dt} = - \frac{uT_e}{2 \Delta x} - A(T_e - T^*)$$
The following image was definitely not just ripped out of wikipedia so the this page looks a bit nicer.
There are lots of nice and fun to look at graphs to look at in this pdf
ElNino.pdf also mentioned earlier from which
i couldn't be bothered to put up here again.