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shallow-waters

PURPOSE: Replicate the results obtained in:

David Adamec and James J. O'Brien (1978). The Seasonal Upwelling in the Gulf of Guinea Due to Remote Forcing Journal of Physical Oceanography, Vol. 8, 1050-1060.

for the course Numerical Modeling of the Atmosphere of the bachelor in Atmospheric Sciences - University of the Republic (Uruguay).

It consists of a linear model on an equatorial beta plane integrated over a 100-days period in a basin that approximates the tropical Atlantic Ocean.

The motion is described by the shallow water equations, discretized in a staggered grid in space (type C). For the time derivative a leapfrog scheme (leapfrog.m) is considered. Every 30 iterations, the Matsuno scheme (matsuno.m) is used.

Figures are made to show the results.

A stability analysis is made.