Author(s)

I. Slobodcicov, F.L.B. Ribeiro & A.L.G.A. Coutinho

Abstract

Parallel edge-based implementation of the finite element method for shallow water equations I. Slobodcicov, F.L.B. Ribeiro, & A.L.G.A. Coutinho Programa de Engenharia Civil, COPPE / Universidade Federal do Rio de Janeiro, Brazil Abstract A parallel implementation of the fmite element method is presented in this paper, focusing on the fully coupled stabilized solutions of nonlinear systems arising from the discretization of shallow water equations. Edge-based data structures are used in order to optimize matrix-vector products appearing in the GMRES iterative solver. Numerical examples, including the tidal flow simulation in the coastal lagoon of Araruama, Brazil, show the speed-up of the present implementation, designed for PC clusters running MPI. 1 Introduction In this paper we are interested in the numerical solution of the so-called vertically averaged (2DH) model of the shallow water equations (SWE) which satisfactory describes the hydrodynamics (circulation of water) in a class of wellm

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