Higher-Order Splitting Method for Elastic Wave Propagation

Higher-Order Splitting Method for Elastic Wave Propagation

Motivated by seismological problems, we have studied a fourth-order split scheme for the elastic wave equation. We split in the spatial directions and obtain locally one-dimensional systems to be solved. We have analyzed the new scheme and obtained results showing consistency and stability. We have used the split scheme to solve problems in two and three dimensions. We have also looked at the i...

WENOCLAW: A Higher Order Wave Propagation Method

A High-order Discontinuous Galerkin Scheme for Elastic Wave Propagation

In this paper, we introduce a fourth-order leap-frog time scheme combined with a high-order discontinuous Galerkin method for the solution of the elastodynamic equations. The time discretization, obtained via a simple construction based on Taylor developments, provides an accurate scheme for the numerical simulation of seismic wave propagation. Results of the propagation of an eigenmode allow a...

A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media

We introduce a high-order discontinuous Galerkin (dG) scheme for the numerical solution of three-dimensional (3D) wave propagation problems in coupled elastic-acoustic media. A velocity-strain formulation is used, which allows for the solution of the acoustic and elastic wave equations within the same unified framework. Careful attention is directed at the derivation of a numerical flux that pr...

Higher order acoustoelastic Lamb wave propagation in stressed plates.

Modeling and experiments are used to investigate Lamb wave propagation in the direction perpendicular to an applied stress. Sensitivity, in terms of changes in velocity, for both symmetrical and anti-symmetrical modes was determined. Codes were developed based on analytical expressions for waves in loaded plates and they were used to give wave dispersion curves. The experimental system used a p...