11 research outputs found
An Energy Based Discontinuous Galerkin Method for Coupled Elasto-Acoustic Wave Equations in Second Order Form
We consider wave propagation in a coupled fluid-solid region, separated by a
static but possibly curved interface. The wave propagation is modeled by the
acoustic wave equation in terms of a velocity potential in the fluid, and the
elastic wave equation for the displacement in the solid. At the fluid solid
interface, we impose suitable interface conditions to couple the two equations.
We use a recently developed, energy based discontinuous Galerkin method to
discretize the governing equations in space. Both energy conserving and upwind
numerical fluxes are derived to impose the interface conditions. The highlights
of the developed scheme include provable energy stability and high order
accuracy. We present numerical experiments to illustrate the accuracy property
and robustness of the developed scheme