An energy‐based discontinuous Galerkin method for coupled elasto‐acoustic wave equations in second‐order form

@article{Appel2018AnED,
  title={An energy‐based discontinuous Galerkin method for coupled elasto‐acoustic wave equations in second‐order form},
  author={Daniel Appel{\"o} and Siyang Wang},
  journal={International Journal for Numerical Methods in Engineering},
  year={2018},
  volume={119},
  pages={618 - 638}
}
  • D. AppelöSiyang Wang
  • Published 22 August 2018
  • Physics
  • International Journal for Numerical Methods in Engineering
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… 

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References

SHOWING 1-10 OF 27 REFERENCES

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

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

A high-order discontinuous Galerkin approach to the elasto-acoustic problem

An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form

A highly accurate discontinuous Galerkin method for complex interfaces between solids and moving fluids

We have extended a new highly accurate numerical scheme for unstructured 2D and 3D meshes based on the discontinuous Galerkin approach to simulate seismic wave propagation in heterogeneous media

Wave propagation near a fluid-solid interface : A spectral-element approach

We introduce a spectral-element method for modeling wave propagation in media with both fluid (acoustic) and solid (elastic) regions, as for instance in offshore seismic experiments. The problem is

A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form

A priori error estimates in the energy norm for certain fluxes are derived and numerical experiments showing that optimal convergence in $L^2$ is obtained are presented.

Stable and high order accurate difference methods for the elastic wave equation in discontinuous media