Port-Hamiltonian Formulation of Oseen Flows

Authors

Timo Reis, Manuel Schaller

Abstract

We present Oseen equations on Lipschitz domains in a port-Hamiltonian context. Such equations arise, for instance, by linearization of the Navier-Stokes equations. In our setup, the external port consists of the boundary traces of velocity and the normal component of the stress tensor, and boundary control is imposed by velocity and normal stress tensor prescription at disjoint parts of the boundary. We employ the recently developed theory of port-Hamiltonian system nodes for our formulation. An illustration is provided by means of flow through a cylinder.

Keywords

Port-Hamiltonian systems; Flow problems; System nodes; Boundary control

Citation

• ISBN: 9783031649905
• Publisher: Springer Nature Switzerland
• DOI: 10.1007/978-3-031-64991-2_5
• Note: Workshop on Systems Theory and PDEs

BibTeX

@inbook{Reis_2024,
  title={{Port-Hamiltonian Formulation of Oseen Flows}},
  ISBN={9783031649912},
  ISSN={2297-024X},
  DOI={10.1007/978-3-031-64991-2_5},
  booktitle={{Systems Theory and PDEs}},
  publisher={Springer Nature Switzerland},
  author={Reis, Timo and Schaller, Manuel},
  year={2024},
  pages={123--148}
}

Download the bib file

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