A nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility

Axel Modave, Andreas Atle, Jesse Chan and
Tim Warburton

august, 2017

Publication type:

International conference with proceedings

Conference:

13th International Conference on Mathematical and Numerical Aspects of Waves Propagation (WAVES 2017) – Minneapolis (USA)

HAL:

hal-01573689

Keywords :

Transient waves; Discontinuous finite element; Absorbing boundary condition;

Abstract:

We present the coupling of a nodal discontinu-ous Galerkin (DG) scheme with high-order absorbing boundary conditions (HABCs) for the simulation of transient wave phenomena. The HABCs are prescribed on the faces of a cuboidal domain in order to simulate infinite space. To preserve accuracy at the corners and the edges of the domain, novel compatibility conditions are derived. The method is validated using 3D computational results.

BibTeX:

@inproceedings{Mod-Atl-Cha-War-2017-1,
    author={Axel Modave and Andreas Atle and Jesse Chan and Tim Warburton },
    title={A nodal discontinuous Galerkin method with high-order 
           absorbing boundary conditions and corner/edge compatibility },
    organization={13th International Conference on Mathematical and Numerical 
           Aspects of Waves Propagation (WAVES 2017) – Minneapolis 
           (USA) },
    year={2017 },
    month={8},
}