Port-Hamiltonian formulation of two-phase flow models

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

*Corresponding author for this work

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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.

Original languageEnglish
Article number104881
JournalSystems and control letters
Volume149
Early online date18 Feb 2021
DOIs
Publication statusPublished - Mar 2021

Keywords

  • UT-Hybrid-D
  • Non-quadratic Hamiltonian
  • Port-Hamiltonian
  • Skew-adjoint
  • Stokes–Dirac structures
  • Two-Fluid Model
  • Drift Flux Model

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