Structure Preserving Finite Differences in Polar Coordinates for Heat and Wave Equations
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Structure Preserving Finite Differences in Polar Coordinates for Heat and Wave Equations |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | Trenchant V, Hu W, Ramirez H, Le Gorrec Y |
| Journal | IFAC PAPERSONLINE |
| Volume | 51 |
| Pagination | 571-576 |
| Type of Article | Proceedings Paper |
| ISSN | 2405-8963 |
| Mots-clés | Distributed port-Hamiltonian systems, finite difference method, heat equation, Staggered grids, Wave equation |
| Résumé | This paper proposes a finite difference spatial discretization that preserves the geometrical structure, i.e. the Dirac structure, underlying 2D heat and wave equations in cylindrical coordinates. These equations are shown to rely on Dirac structures for a particular set of boundary conditions. The discretization is completed with time integration based on Stormer-Verlet method. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. |
| DOI | 10.1016/j.ifacol.2018.03.096 |