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arXiv · 2501.14930

Moving-Boundary Port-Hamiltonian Systems

T. J. Meijer·A. Das·S. Weiland
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Abstract

In this paper, we consider linear boundary port-Hamiltonian distributed parameter systems on a time-varying spatial domain. We derive the specific time-varying Dirac structure that these systems give rise to and use it to formally establish a new class of moving-boundary port-Hamiltonian systems by showing that these distributed parameter systems on a time-varying spatial domain admit a port-Hamiltonian representation. We demonstrate that our results can be leveraged to develop a spatial discretization scheme with dynamic meshing for approximating the telegrapher's equations on a time-varying spatial domain, which we subsequently verify numerically.

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T. J. Meijer, A. Das, S. Weiland. 2025-01-24. Moving-Boundary Port-Hamiltonian Systems. https://arxiv.org/abs/2501.14930

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