A discontinuous Galerkin method for poroelastic wave propagation: The two-dimensional case

• Published in: Journal of computational physics Vol. 350; pp. 690 - 727
• Main Authors: Dudley Ward, N.F., Lähivaara, T., Eveson, S.
• Format: Journal Article
• Language: English
• Published: Cambridge Elsevier Inc 01-12-2017; Elsevier Science Ltd
• Subjects: Accuracy; Attenuation; Computational physics; Convergence; Discontinuous Galerkin method; Elastic media; Galerkin method; Mathematical models; Non-uniform basis order; Poroelastic waves; Propagation; Wave propagation; Discontinuous Galerkin method; Non-uniform basis order; Poroelastic waves
• ISSN: 0021-9991; 1090-2716
• DOI: 10.1016/j.jcp.2017.08.070

In this paper, we consider a high-order discontinuous Galerkin (DG) method for modelling wave propagation in coupled poroelastic–elastic media. The upwind numerical flux is derived as an exact solution for the Riemann problem including the poroelastic–elastic interface. Attenuation mechanisms in both Biot's low- and high-frequency regimes are considered. The current implementation supports non-uniform basis orders which can be used to control the numerical accuracy element by element. In the numerical examples, we study the convergence properties of the proposed DG scheme and provide experiments where the numerical accuracy of the scheme under consideration is compared to analytic and other numerical solutions.