Structure-preserving Spatial Discretization of a Two-Fluid Model

Authors

H. Bansal, S. Weiland, L. Iapichino, W.H.A. Schilders, N. van de Wouw

Abstract

We present a structure-preserving spatial discretization method for infinite-dimensional non-linear port-Hamiltonian representations of a commonly used one-dimensional two-phase flow model: the Two-Fluid Model. We introduce the port-Hamiltonian representation of this two-phase flow model and then invoke a mixed-finite-element method to perform a structure-preserving spatial discretization. Consequently, we obtain a finite-dimensional realization of a recently proposed novel Stokes-Dirac structure for this model. The properties of the resulting finite-dimensional realization are assessed and the conditions under which it is known to respect the properties of a finite-dimensional Dirac structure are discussed. Moreover, we derive the complete finite-dimensional interconnected port-Hamiltonian model by invoking the notion of power-preserving interconnection.

Citation

• Journal: 2020 59th IEEE Conference on Decision and Control (CDC)
• Year: 2020
• Volume:
• Issue:
• Pages: 5062–5067
• Publisher: IEEE
• DOI: 10.1109/cdc42340.2020.9304252

BibTeX

@inproceedings{Bansal_2020,
  title={{Structure-preserving Spatial Discretization of a Two-Fluid Model}},
  DOI={10.1109/cdc42340.2020.9304252},
  booktitle={{2020 59th IEEE Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Bansal, H. and Weiland, S. and Iapichino, L. and Schilders, W.H.A. and van de Wouw, N.},
  year={2020},
  pages={5062--5067}
}

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