Mixed-Dimensional Geometric Coupling of Port-Hamiltonian Systems
arXiv:2202.06370 · doi:10.1007/s11565-022-00444-3.
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.
arXiv comment6 pages, 1 figure. Submitted to Applied Mathematics Letters