A weight-adjusted discontinuous Galerkin method for wave propagation in coupled elastic-acoustic media
arXiv:1905.09145 · doi:10.1016/j.jcp.2020.109632
Abstract
This paper presents a high-order discontinuous Galerkin (DG) scheme for the simulation of wave propagation through coupled elastic-acoustic media. We use a first-order stress-velocity formulation, and derive a simple upwind-like numerical flux which weakly imposes continuity of the normal velocity and traction at elastic-acoustic interfaces. When combined with easily invertible weight-adjusted mass matrices, the resulting method is efficient, consistent, and energy stable on curvilinear meshes and for arbitrary heterogeneous media, including anisotropy and sub-cell (micro) heterogeneities. We numerically verify the high order accuracy and stability of the proposed method, and investigate its performance for applications in photoacoustic tomography.
References in corpus (12)
- Thermoacoustic tomography with variable sound speed
- Spectral element modeling of three dimensional wave propagation in a self-gravitating Earth with an arbitrarily stratified outer core
- OCCA: A unified approach to multi-threading languages
- A Discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves
- Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion
- Multiwave imaging in an enclosure with variable wave speed
- A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: penalty fluxes and micro-heterogeneities
- Multiwave tomography in a closed domain: averaged sharp time reversal
- Weight-adjusted discontinuous Galerkin methods: matrix-valued weights and elastic wave propagation in heterogeneous media
- Reconstruction for multiwave imaging in attenuating media with large damping coefficient
- Robust Approaches to Handling Complex Geometries with Galerkin Difference Methods
- High order weight-adjusted discontinuous Galerkin methods for wave propagation on moving curved meshes