Finite Differences And Partial Differential Equations
Finite Differences And Partial Differential Equations
Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers
Journal of Scientific Computing
Discontinuous Galerkin spectral element approximations on moving meshes
Journal of Computational Physics
Boundary states at reflective moving boundaries
Journal of Computational Physics
Hi-index | 31.45 |
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.