ALE-DGSEM approximation of wave reflection and transmission from a moving medium

作者：Winters Andrew R^*; Kopriva David A

来源：Journal of Computational Physics, 2014, 263: 233-267.

DOI：10.1016/j.jcp.2014.01.022

• Discontinuous Galerkin spectral element method
• Moving material interface
• Arbitrary Lagrangian-Eulerian
• Conservation laws
• Numerical flux
• Wave reflection and transmission

We derive a spectrally accurate moving mesh method for mixed material interface problems modeled by Maxwell's or the classical wave equation. We use a discontinuous Galerkin spectral element approximation with an arbitrary Lagrangian-Eulerian mapping and derive the exact upwind numerical fluxes to model the physics of wave reflection and transmission at jumps in material properties. Spectral accuracy is obtained by placing moving material interfaces at element boundaries and solving the appropriate Riemann problem. We present numerical examples showing the performance of the method for plane wave reflection and transmission at dielectric and acoustic interfaces.

• 出版日期2014-4-15