Mimetic discretization and higher order time integration for acoustic, electromagnetic and elastodynamic wave propagation

Mimetic discretization and higher order time integration for acoustic, electromagnetic and elastodynamic wave propagation

This paper is devoted to the simulation of acoustic, electromagnetic and elastodynamic wave propagation problems in a unified manner. We focus on the finite integration technique for the spatial discretization of the first-order wave equation systems using lowest order elements. A universal framework of staggered grids is set up in which the application of the finite integration technique for a...

Higher order variational space-time approximation of wave propagation

The accurate and reliable numerical approximation of wave propagation is of fundamental importance to the simulation of acoustic, electromagnetic and elastic phenomena. In mechanical engineering, advanced composites such as carbon fibre reinforced polymer have become one of the most promising materials to build light-weight structures for several fields of application, for instance in aerospace...

WENOCLAW: A Higher Order Wave Propagation Method

Higher order Galerkin time discretization for nonstationary incompressible flow

In this paper, we extend our work for the heat equation in [4] and for the Stokes equations in [5] to the nonstationary Navier-Stokes equations in two dimensions. We examine continuous Galerkin-Petrov (cGP) time discretization schemes for nonstationary incompressible flow. In particular, we implement and analyze numerically the higher order cGP(2)-method. For the space discretization, we use th...

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...