Author(s)

Francis X. Giraldo & Beny Neta

Abstract

This paper compares a family of Eulerian and semi-Lagrangian methods. Numerical experiments are performed on the two-dimensional advection- diffusion equations having a known analytic solution. The numerical results demonstrate that the semi-Lagrangian method is superior to the Eulerian method while using time steps two to four times greater. This property makes them more attractive than Eulerian methods particularly for inte- grating atmospheric and ocean equations because long time histories are sought for such problems. 1 Introduction Eulerian and semi-Lagrangian finite element models for the advection-diffusion equations are presented. The best methods are found to be the semi-implicit methods (6 = |). Therefore

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