Mixed-Dimensional Geometric Coupling of Port-Hamiltonian Systems
Jens J\"aschke, Nathanael Skrepek, Matthias Ehrhardt
TL;DR
This paper introduces a novel method for coupling port-Hamiltonian systems of different spatial dimensions, demonstrated on a gas turbine blade model, with proven discretization stability.
Contribution
It presents a new interconnection relation for infinite-dimensional port-Hamiltonian systems that handles mixed-dimensional coupling, ensuring practical applicability and discretization robustness.
Findings
Effective coupling of different spatial dimension ports
Stable discretization in finite element space
Application to gas turbine blade model
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsControl and Stability of Dynamical Systems · Numerical methods for differential equations · Modeling and Simulation Systems