Journal
IFAC PAPERSONLINE
Volume 51, Issue 2, Pages 571-576Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ifacol.2018.03.096
Keywords
Distributed port-Hamiltonian systems; staggered grids; finite difference method; wave equation; heat equation
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Funding
- Labex ACTION [ANR-11-LABX-01-]
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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.
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