A Discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves

Abstract

We develop an approach for simulating acousto-elastic wave phenomena, including scattering from fluid-solid boundaries, where the solid is allowed to be anisotropic, with the Discontinuous Galerkin method. We use a coupled first-order elastic strain-velocity, acoustic velocity-pressure formulation, and append penalty terms based on interior boundary continuity conditions to the numerical (central) flux so that the consistency condition holds for the discretized Discontinuous Galerkin weak formulation. We incorporate the fluid-solid boundaries through these penalty terms and obtain a stable algorithm. Our approach avoids the diagonalization into polarized wave constituents such as in the approach based on solving elementwise Riemann problems.

43 pages, 30 figures

References in corpus (1)

• Free and smooth boundaries in 2-D finite-difference schemes for transient elastic waves

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• An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem
• Explicit coupling of acoustic and elastic wave propagation in finite difference simulations