Discontinuous Galerkin methods for solving the acoustic wave equation

CASTROMÁN, GABRIEL ALEJANDRO; ZYSERMAN, FABIO IVÁN

Mendoza

Congreso; XX Congreso sobre Métodos Numéricos y sus Aplicaciones; 2013

In this work we develop a numerical simulator for the propagation of elastic waves by solving the one-dimensional acoustic wave equation with Absorbing Boundary Conditions (ABC´s) on the computational boundaries using a Galerkin Discontinuous Finite Element Method (DGFEM). The DGFEM allows us to easily simulate the presence of a fracture in the elastic medium by means of a linear-slip model. 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 as appears in previous works. Finally, we present an analysis of the numerical parameters of the method.