Fifth Workshop on Compressible Multiphase Flows

Liste des Contributions

10. Exemples d’études expérimentales d’écoulements diphasiques turbulents : analyse de l’influence de la phase dispersée sur la phase porteuse

Henda Djeridi (LEGI / G-INP)

05/06/2023 14:00

On présentera ici des exemples d’études expérimentales d’écoulements diphasiques avec et sans changement de phase pour lesquelles on montrera comment la phase dispersée (vapeur ou gaz) peut modifier la phase porteuse (liquide ou gaz). On s’attachera en particulier à quantifier les modifications des structures de la turbulence dans le cas d’un écoulement turbulent cavitant (de type marche...

4. A relaxation approach for modeling turbulence in compressible flows

Olivier Hurisse (EDF R&D)

05/06/2023 15:30

In this talk, a thermodynamical approach for modeling turbulence in compressible flows will be presented. Modeling of muti-component flows following a thermodynamical (homogeneous) point of view is known to ensure that the resulting models inherit from several very important mathematical properties such as : hyperbolicity, entropy inequality and uniqueness of the definition of the shocks...

2. Symmetric-hyperbolic conservation laws to model viscoelastic flows as Maxwell fluids

Sébastien Boyaval (Ecole des Ponts ParisTech, Laboratoire d'hydraulique Saint-Venant)

06/06/2023 09:00

Invités Workshop Strasbourg 2023
https://indico.math.cnrs.fr/event/9225/
Conférences invitées:
Sébastien BOYAVAL
Titre : Symmetric-hyperbolic conservation laws to model viscoelastic flows as Maxwell fluids
Abstract: Many Partial Differential Equations (PDEs) have been proposed to model viscoelastic flows. Seminal hyperbolic PDEs have been proposed by Maxwell in 1867 for 2D elastic fluids...

8. On structure-preserving schemes for continuum mechanics

Michael Dumbser (Università di Trento)

06/06/2023 10:30

In this talk we present two new classes of structure-preserving schemes for hyperbolic and thermodynamically compatible (HTC) systems with involution constraints, which have been studied for the first time by Godunov in 1961 and later in a series of papers by Godunov & Romenski. In particular, we consider the unified first order hyperbolic model of continuum mechanics proposed by Godunov,...

9. Hamiltonian mechanics of superfluid helium-4 with numerical applications

Michal Pavelka (Charles University)

06/06/2023 11:30

At very low temperatures (less than 2.17 K), helium becomes superfluid. For instance, it flows through narrow capillaries with no resistance. Although traditional models describe superfluid helium as a mixture of a normal component and a superfluid component, helium is actually a pure substance, not a mixture, that exhibits two motions. In order to describe the two motions, we use geometric...

3. Helicity in dispersive continuum mechanics

Sergey Gavrilyuk (Aix-Marseille Université)

06/06/2023 14:00

New conservation laws are obtained for the equations of dispersive continuum mechanics describing Euler–van der Waals–Korteweg’s fluids, fluids containing small gas bubbles, and long–free surface gravity waves (Serre–Green–Naghdi equations). The corresponding mathematical models are characterized by the dependence of the energy on spatial and temporal derivatives of the density. In particular,...

5. A unified arbitrary-rate mechanical relaxation technique for compressible two-phase flows

Keh-Ming Shyue (National Taiwan University)

07/06/2023 09:00

Our goal in this talk is to describe an extension of the arbitrary-rate mechanical relaxation techniques proposed by M. Pelanti [2] for compressible two-phase flows with non-barotropic equations of state to a barotropic two-phase flow, and a hybrid barotropic and non-barotropic two-phase flow. As in [2], we could derive the same first-order ordinary differential equation for the difference in...

7. On derivation and analysis of traffic and lubrication models

Ewelina Zatorska (Imperial College London)

07/06/2023 10:30

I will present our latest developments on the generalization of the Aw-Rascle model of traffic. These include existence and non-uniqueness results and also singular limit analysis leading to certain hard-congestion model. The latter model has been studied in the context of lubrication forces for the motion of rigid bodies in a viscous fluids. The proof of the singular limit will be presented...

6. Which future for Van der Waals type equations of state?

Romain Privat (Université de Lorraine)

07/06/2023 11:30

Despite the criticism that the Van der Waals theory behind them is too simple, despite the many attempts to replace them with more sophisticated models, despite their well-documented shortcomings, it is a fact that the cubic equations of state (CEoS) are still around, and in industry in particular. Derived from the seminal work of Van der Waals, CEoS appear indeed as reference models for...

12. A multi-component multi-temperature model for simulating laminar deflagration waves in mixtures of air and hydrogen

Olivier Hurisse (EDF R&D)

11. Relaxation au sein d’un mélange de trois phases immiscibles

Guillaume Jomée (EDF R&D), Jean-Marc Hérard (EDF R&D)