Finite element method for solving advection- diffussion equation in climate modelling

Abstract

Our main focus in this project was to solve by Finite element method the advectiondi usion equation as it appear in the climate model developed by Seller in (1969),which incorporate both the atmospheric and oceanic uid dynamics. Therefore,since the di usive term is more dominant when the altitude is not involved, we decided to use Budyko climate model for our study.We have used nite element method with quadratic basis function with two, ve and ten elements hoping to improve the results or atleast to see if we obtain the same as what was obtained earlier.The results obtained con rm to some di erences, the results of Warren and Schneider in (1979) for only two and ve elements.Finally for ten elements we have observed very large discrepancy. xii