DISCONTINUOUS GALERKIN METHODS FOR SOLVING THE ACOUSTIC WAVE EQUATION

CASTROMÁN, GABRIEL; FABIO I. ZYSERMAN

MECANICA COMPUTACIONAL

AMCA

Año: 2013 vol. 32 p. 3905 - 3918

In this work we develop a numerical simulator for the propagation of elastic waves by solvingthe one-dimensional acoustic wave equation with Absorbing Boundary Conditions (ABC?s) on the computationalboundaries using Discontinuous Galerkin Finite Element Methods (DGFEM). The DGFEMallows us to easily simulate the presence of a fracture in the elastic medium by means of a linear-slipmodel. We analize the behaviour of our algorithm by comparing its results against analytic solutions.Furthermore, we show the frequency-dependent effect on the propagation produced by the fracture asappears in previous works. Finally, we present an analysis of the numerical parameters of the method.