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.

通常使用两流体模型（TFM）和漂移通量模型（DFM）对两相流进行建模和仿真。本文提出了斯托克斯-狄拉克结构，相对于该结构可以得到此类两相流模型的哈密尔顿端口表示。我们介绍了一个非二次候选汉密尔顿函数，并给出了两种模型的耗散汉密尔顿表示。然后，我们使用相应的形式正式的斜偏伴随算子的结构来为多相流模型的两个变体推导Stokes-Dirac结构。此外，我们讨论了在一般滑移条件下得出DFM的哈密顿港公式的困难，并讨论了为什么该模型可能能量不一致。