Structure preserving spatial discretization of 2D hyperbolic systems using staggered grids finite difference
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Structure preserving spatial discretization of 2D hyperbolic systems using staggered grids finite difference |
| Type de publication | Conference Paper |
| Year of Publication | 2017 |
| Auteurs | Trenchant V, Ramirez H, Le Gorrec Y, Kotyczka P |
| Conference Name | 2017 AMERICAN CONTROL CONFERENCE (ACC) |
| Publisher | GE Global Res; Mitsubishi Elect Res Labs; Eaton; United Technologies Res Ctr; MathWorks; Amer Automat Control Council |
| Conference Location | 345 E 47TH ST, NEW YORK, NY 10017 USA |
| ISBN Number | 978-1-5090-5992-8 |
| Mots-clés | Distributed port-Hamiltonian systems, finite difference method, Staggered grids, wave propagation |
| Résumé | This paper proposes a finite difference spatial discretization scheme that preserve the port-Hamiltonian structure of 1D and 2D infinite dimensional hyperbolic systems. This scheme is based on the use of staggered grids for the discretization of the state and co state variables of the system. It is shown that, by an appropriate choice of the boundary port variables, the underlying geometric structure of the infinite-dimensional system, i.e. its Dirac structure, is preserved during the discretization step. The consistency of the spatial discretization scheme is evaluated and its accuracy is validated with numerical results. |