Seventh Workshop on Compressible Multiphase Flows

Liste des Contributions

4. Derivation of a two-phase flow model accounting for surface tension

Hélène Mathis (Université de Montpellier)

26/05/2025 14:00

We are interested in the derivation of a two-phase flow model that incorporates surface tension effects using Hamilton’s principle of stationary action. The Lagrangian functional, which defines the action, consists of kinetic energy—accounting for interface characteristics—and potential energy.
A key feature of the model is the assumption that the interface separating the two phases possesses...

2. A geometrical Green-Naghdi type system for dispersive-like waves in prismatic channels

Sergey Gavrilyuk (Aix-Marseille Université)

26/05/2025 15:30

9. Hyperbolic turbulent two-phase flow models obtained from Hamilton's principle

Émile Deléage (Aix-Marseille Université)

26/05/2025 16:30

We present a class of hyperbolic systems modeling two-phase, two-velocity flows that can be obtained from Hamilton's principle of stationary action. The hyperbolicity is guaranteed for small relative velocities by the presence of turbulence through a Reynolds stress tensor. Various forms of the turbulent term are proposed, and the ones leading to a hyperbolic system of equations are...

3. Two-phase flows involving multiple scales: a study of mass transfer across scales

Samuel Kokh (CEA, Maison de la simulation)

27/05/2025 09:00

11. Formal derivation of a stratified compressible two-phase flow model

Pierrick Le Vourc'h

27/05/2025 10:30

12. Recent advances for the modelling of multi-scale two-phase flows

Ward Haegeman (Onera, École Polytechnique)

27/05/2025 11:00

10. Mathematical justification of a compressible two-phase averaged system for ideal gas

Pierre Gonin-Joubert (Université Claude Bernard Lyon 1)

27/05/2025 11:30

6. Multiphase flows, variational principle and Cartan's moving frames

Ilya Peshkov (University of Trento)

27/05/2025 14:00

Developing a variational formulation for multiphase flows immediately raises the challenge of handling multiple reference frames and their relative noninertial motion. This talk discusses the associated theoretical issues encountered in the pursuit of a consistent continuous mixture theory.

8. Pressure-relaxation limit for a one-velocity Baer-Nunziato model to a Kapila model

Timothée Crin-Barat (Université Paul Sabatier)

27/05/2025 15:30

In this talk, we show that the solutions of the Kapila system, generated by initial data close to equilibrium, are obtained in the pressure-relaxation limit from solutions of a one-velocity Baer-Nunziato (BN) model.
Besides the fact that the quasilinear part of (BN) cannot be written inconservative form, its natural associated entropy is only positive semi-definite such that the entropic...

7. A general theory of thermo-compositional diabatic convection

Pascal Tremblin (CEA, Maison de la simulation)

28/05/2025 09:00

By generalizing the theory of convection to any type of thermal and compositional source terms (diabatic processes), we show that thermohaline convection in Earth oceans, fingering convection in stellar atmospheres, and moist convection in Earth atmosphere are deriving from the same general diabatic convective instability. We show also that "radiative convection" triggered by CO/CH4 transition...

1. Visco-elasticity of foam films

Isabelle Cantat (CNRS, Université de Rennes)

28/05/2025 10:30

Liquid foam exhibits surprisingly high viscosity, higher than each of its phases. This dissipation enhancement has been rationalized by invoking either a geometrical confinement of the shear in the liquid phase, or the influence of the interface viscosity. However, a precise localization of the dissipation, and its mechanism at the bubble scale, is still lacking. To this aim, we...

5. An incompressible/compressible model for magma flow in a volcanic conduit

Gladys Narbona Reina (Universidad de Sevilla)

28/05/2025 11:30

In this work we develop a liquid/gas model for magmatic flow that describes the physical processes from the microscopic and macroscopic scales. The resulting two-phase model considers an incompressible liquid phase and a compressible gas phase that exchange mass. It also preserves the conservation of mass and momentum, and a dissipative energy balance under appropriate temperature equations...