Resolución Numérica de las ecuaciones de Shallow Water

Abstract

In this work we weill study and numerically solve the Shallow Water equations in one and two dimensions by means of upwind and semi-lagrangian discretization schemes. The numerical results are presented and compared them to determine the most stable and efficients to solve the Shallow Water equations. Comparisons are presented using test functions, found analytically, for Shallow Water equations in one and two dimensions and the differences between exact and approximate solutions are shown to determine which scheme solves the problema better.