Energetic decomposition of distributed systems with moving material domains: The port-Hamiltonian model of fluid-structure interaction

Authors

Federico Califano, Ramy Rashad, Frederic P. Schuller, Stefano Stramigioli

Abstract

We introduce the geometric structure underlying the port-Hamiltonian models for distributed parameter systems exhibiting moving material domains. The first part of the paper aims at introducing the differential geometric tools needed to represent infinite-dimensional systems on time–varying spatial domains in a port–based framework. A throughout description on the way we extend the structure presented in the seminal work [25], where only fixed spatial domains were considered, is carried through. As application of the proposed structure, we show how to model in a completely coordinate-free way the 3D fluid–structure interaction model for a rigid body immersed in an incompressible viscous flow as an interconnection of open dynamical subsystems.

Keywords

Port-Hamiltonian system; Geometric fluid-mechanics; Fluid structure interaction

Citation

• Journal: Journal of Geometry and Physics
• Year: 2022
• Volume: 175
• Issue:
• Pages: 104477
• Publisher: Elsevier BV
• DOI: 10.1016/j.geomphys.2022.104477

BibTeX

@article{Califano_2022,
  title={{Energetic decomposition of distributed systems with moving material domains: The port-Hamiltonian model of fluid-structure interaction}},
  volume={175},
  ISSN={0393-0440},
  DOI={10.1016/j.geomphys.2022.104477},
  journal={Journal of Geometry and Physics},
  publisher={Elsevier BV},
  author={Califano, Federico and Rashad, Ramy and Schuller, Frederic P. and Stramigioli, Stefano},
  year={2022},
  pages={104477}
}

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