Méthodes de volumes finis conservant l'énergie pour la résolution
des équations de Maxwell en domaine temporel
Energy-preserving FVTD schemes for Maxwell Equations
In this talk, we investigate the use for the time-domain solution of heterogeneous Maxwell equations of some finite-volume methods designed for unstructured triangular or tetrahedral grids, as well as regular grids. In all cases, these methods are genuinely non-diffusive (a discrete energy is conserved, although conservative fluxes are not computed for the energy). Numerical results are shown for both unstructured and regular, two- and three-dimensional discretizations. A particular emphasis is put on structured locally refined grids, for which some MUSCL interpolation leads to a reduction of the dispersion (the scheme actually is fourth-order accurate on uniform one-dimensional grids).
E-mail : Serge.Piperno@sophia.inria.fr