Finite Elements For Shallow Water Equations:
Stabilized Formulations And Computational
Aspects
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
Keywords
Related Book
Other papers in this volume
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