Author(s)

F.L.B. Ribeiro, A.C. Galeao, R.G.S. Castro & L. Landau

Abstract

In this paper we present a space-time finite element formulation for problems governed by the shallow water equations. A linear time-discontinuous approximation is adopted, and linear three node triangles are used for the spatial discretization. Computational aspects are also discussed. It is shown that an edge-based data structure turns out to be a very fast and efficient way to solve the non-linear system of equations. Numerical examples are shown, illustrating the quality of the solution and the performance of the method. 1 Introduction In this paper we are interested in the numerical solution of the so-called vertically averaged (2DH) model of the shallow water equation

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