论文标题
哈米尔顿港系统的混合维度几何耦合
Mixed-Dimensional Geometric Coupling of Port-Hamiltonian Systems
论文作者
论文摘要
我们提出了一个新的互连关系，以实现无限维港口港口系统，该关系可以通过在盈余维度上整合而使具有不同空间维度的端口耦合。为了显示实际相关性，我们将此互连应用于主动冷却的燃气轮机刀片的模型系统。我们还表明，这种互连关系在有限元空间中的离散化方面表现良好，从而确保了其对实际应用的可用性。
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.
