# Second Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics

Philippe Helluy, Jean-Marc Hérard, Nicolas Seguin

► To cite this version:

Philippe Helluy, Jean-Marc Hérard, Nicolas Seguin. Second Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics. ESAIM: Proceedings and Surveys, 69, 2021, 10.1051/proc/202069000. hal-03153699

HAL Id: hal-03153699

https://hal.science/hal-03153699

Submitted on 15 Jan 2024

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<figure><img src="image_1.png" /></figure>

Distributed under a Creative Commons Attribution 4.0 International License
# Second Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics

Philippe Helluy, Jean-Marc Hérard, Nicolas Seguin

► To cite this version:

Philippe Helluy, Jean-Marc Hérard, Nicolas Seguin. Second Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics. ESAIM: Proceedings and Surveys, 69, 2021, 10.1051/proc/202069000. hal-03153699

HAL Id: hal-03153699

https://hal.science/hal-03153699v1

Submitted on 15 Jan 2024

HAL is a multi-disciplinary open access
archive for the deposit and dissemination of sci-
entific research documents, whether they are pub-
lished or not. The documents may come from
teaching and research institutions in France or
abroad, or from public or private research centers.

L'archive ouverte pluridisciplinaire HAL, est
destinée au dépôt et à la diffusion de documents
scientifiques de niveau recherche, publiés ou non,
émanant des établissements d'enseignement et de
recherche français ou étrangers, des laboratoires
publics ou privés.

<figure><img src="image_1.png" /></figure>

Distributed under a Creative Commons Attribution 4.0 International License
Second Workshop on Compressible Multiphase Flows
Derivation, closure laws, thermodynamics

During the Workshop on Compressible Multiphase Flows which held in May 2018,
many interesting questions have been raised and the organizers decided to continue and
open the discussion by proposing a second workshop on the same subject.

The second Workshop on Compressible Multiphase Flows has been staged in Stras-
bourg (France), in May 2019, 27-29th. The goal was to address the modelling of com-
pressible multiphase flows, gathering specialists of this subject, which may come from
math departments of universities but also from the industry.

The participants have shared modelling methods, difficulties, (rigorous or more
phenomenological) analysis, allowing the description of multiphase flows with ex-
changes (mass transfer, energy exchange...) and apparition of shock waves. The main
topics have been:

* The Physics of multiphase flows with mass transfer and high energy exchanges;

• The derivation and analysis of PDE models for compressible multiphase flows;

* The construction of coherent thermodynamical laws.

Note that one-velocity and multi-velocity models have been considered, while numeri-
cal aspects were disregarded in order to focus on fruitful discussions on the modelling
issues.

The details of the workshop, such as the list of speakers and the title of their talks,
can be found here:

https://indico.math.cnrs.fr/event/4674/

The workshop has received financial support from EDF R&D, GdR MaNu, Uni-
versité de Strasbourg.

As co-editors of these ESAIM Proceedings, we are grateful to all the authors who
have contributed to this volume. We also thank all the referees for their valuable com-
ments which helped improving the final version of the papers. The ESAIM editorial
team is also warmly acknowledged.

Philippe Helluy, Jean-Marc Hérard, Nicolas Seguin.
Second Workshop on Compressible Multiphase Flows
Derivation, closure laws, thermodynamics

During the Workshop on Compressible Multiphase Flows which held in May 2018,
many interesting questions have been raised and the organizers decided to continue and
open the discussion by proposing a second workshop on the same subject.

The second Workshop on Compressible Multiphase Flows has been staged in Stras-
bourg (France), in May 2019, 27-29th. The goal was to address the modelling of com-
pressible multiphase flows, gathering specialists of this subject, which may come from
math departments of universities but also from the industry.

The participants have shared modelling methods, difficulties, (rigorous or more
phenomenological) analysis, allowing the description of multiphase flows with ex-
changes (mass transfer, energy exchange...) and apparition of shock waves. The main
topics have been:

* The Physics of multiphase flows with mass transfer and high energy exchanges;

• The derivation and analysis of PDE models for compressible multiphase flows;

* The construction of coherent thermodynamical laws.

Note that one-velocity and multi-velocity models have been considered, while numeri-
cal aspects were disregarded in order to focus on fruitful discussions on the modelling
issues.

The details of the workshop, such as the list of speakers and the title of their talks,
can be found here:

https://indico.math.cnrs.fr/event/4674/

The workshop has received financial support from EDF R&D, GdR MaNu, Uni-
versité de Strasbourg.

As co-editors of these ESAIM Proceedings, we are grateful to all the authors who
have contributed to this volume. We also thank all the referees for their valuable com-
ments which helped improving the final version of the papers. The ESAIM editorial
team is also warmly acknowledged.

Philippe Helluy, Jean-Marc Hérard, Nicolas Seguin.