Port-Hamiltonian formulation of two-phase flow models

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 candid...

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Veröffentlicht in:Systems & control letters 2021-03, Vol.149, p.104881, Article 104881
Hauptverfasser: Bansal, H., Schulze, P., Abbasi, M.H., Zwart, H., Iapichino, L., Schilders, W.H.A., Wouw, N. van de
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Sprache:eng
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Zusammenfassung: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.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2021.104881