Work

An all-topology two-fluid model for two-phase flows derived through Hamilton’s stationary action principle

Year: 2026

Type: article

Abstract: We present a novel multi-fluid model for compressible two-phase flows. The model is derived through a newly developed stationary action principle framework. It is fully closed and introduces a new interfacial quantity, the interfacial work. The closures for the interfacial quantities are provided by the variational principle. They are physically sound and well-defined for all types of flow topologies. The model is shown to be hyperbolic, symmetrizable, and admits an entropy conservation law. Its non-conservative products yield uniquely defined jump conditions which are provided. As such, it allows for the proper treatment of weak solutions. In the multi-dimensional setting, the model presents lift forces which are discussed. The model constitutes a sound basis for future numerical simulations.

Source: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rspa.2025.0835

Authors: Ward Haegeman, Giuseppe Orlando, Samuel Kokh, Marc Massot