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arXiv · 2202.06370

Mixed-Dimensional Geometric Coupling of Port-Hamiltonian Systems

Jens Jäschke·Nathanael Skrepek·Matthias Ehrhardt
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Abstract

We propose a new interconnection relation for infinite-dimensional port-Hamiltonian systems that enables the coupling of ports with different spatial dimensions by integrating over the the surplus dimensions. To show the practical relevance, we apply this interconnection to a model system of an actively cooled gas turbine blade. We also show that this interconnection relation behaves well with respect to a discretization in finite element space, ensuring its usability for practical applications.

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Jens Jäschke, Nathanael Skrepek, Matthias Ehrhardt. 2022-02-13. Mixed-Dimensional Geometric Coupling of Port-Hamiltonian Systems. https://doi.org/10.1007/s11565-022-00444-3.

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