Port-Hamiltonian formulation of two-phase flow models

Authors

H. Bansal, P. Schulze, M.H. Abbasi, H. Zwart, L. Iapichino, W.H.A. Schilders, N. van de Wouw

Abstract

Two-phase flows are frequently modelled and simulated using the Two-Fluid Model (TFM) and the Drift Flux Model (DFM). This paper proposes Stokes–Dirac structures with respect to which port-Hamiltonian representations for such two-phase flow models can be obtained. We introduce a non-quadratic candidate Hamiltonian function and present dissipative Hamiltonian representations for both models. We then use the structure of the corresponding formally skew-adjoint operator to derive a Stokes–Dirac structure for the two variants of multi-phase flow models. Moreover, we discuss the difficulties in deriving a port-Hamiltonian formulation of the DFM with general slip conditions, and argue why this model may not be energy-consistent.

Keywords

Two-Fluid Model; Drift Flux Model; Non-quadratic Hamiltonian; Skew-adjoint; Stokes–Dirac structures; Port-Hamiltonian

Citation

Journal: Systems & Control Letters
Year: 2021
Volume: 149
Issue:
Pages: 104881
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2021.104881

BibTeX

@article{Bansal_2021,
  title={{Port-Hamiltonian formulation of two-phase flow models}},
  volume={149},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2021.104881},
  journal={Systems &amp; Control Letters},
  publisher={Elsevier BV},
  author={Bansal, H. and Schulze, P. and Abbasi, M.H. and Zwart, H. and Iapichino, L. and Schilders, W.H.A. and Wouw, N. van de},
  year={2021},
  pages={104881}
}

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