I work at the Institut Montpellierain Alexander Grothendieck and was previously at the Laboratoire de Mathématiques Jean Leray of Nantes Université. My research concerns the numerical approximation of hyperbolic systems. My favorite applications are the modelling of complex compressible multiphase flows.

Since November 2023, I am the coordinator of the future project PTL MIPS-COLORS for the Pôle MIPS, University of Montpellier

Since January 2024, I am in charge of the transfer and innovation for CNRS Mathématiques - INSMI

Key words

• Modelling of complex flows, compressible multiphase flows, interface, liquid-vapor phase change, nuclear safety applications, liquid-solid phase transition arising in geophysics problems
• Hyperbolic systems, relaxation, multiscale problems, relative entropy technics
• Numerical analysis Finite Volume schemes, Asymptotic preserving schemes, coupling and adaptative techniques, interface

My CV (fr) is available here (last update: June 2024).

Research

Students and postdoc

• Christina Mahmoud doctoral student, 2023-2026 ,CNRS grant
• Jean Bussac doctoral student, 2020-2023 ,cosupervised with J.-M. Hérard (EDF)
• Hala Ghazi , doctoral student, 2015-2018, cosupervised with F. James (MAPMO, Université d'Orléans)
• Nicolas Therme , postdoc, 2017-2018, ANR Achylles

Scientific projects

• ANR Mono-équipe MSM-PHI (since 2024): headed by Matthieu Hillairet, PDEs for multiscale and multiphysics modelling
• NEEDS LMN2C (since 2017): headed by Gloria Faccanoni, modelling of two-phase flows for nuclear applications
• ANR MoHyCon (10/2017 - 03/2022): headed by Marianne Bessemoulin-Chatard (LMJL, Nantes), numerical multiscale methods for semicondutor devices
• ANR Achylles (oct. 2014 - oct. 2018): headed by Rodolphe Turpault (IMB, Bordeaux), asymptotic preserving schemes for hyperbolic systems with diffusive limit
• TELLUS (INSMI-INSU, 2016 and 2017): modelling solidification front on icy moons of Jupiter, with Sabrina Carpy (Laboratoire de Planétologie et Géodynamique de Nantes)
• Inphyniti ICE WAVES (INSMI-INSU, 2017) : modelling icy dunes on Mars, weakly linear stability, headed by Sabrina Carpy (Laboratoire de Planétologie et Géodynamique de Nantes)
• Pari Scientifique Régional Exprodil (2016-2021) : modelling the hydrospheres of icy moons of Jupiter and Saturne, headed by Cathy Castelain (Laboratoire de Thermocinétique de Nantes)

Jurys

06/2024   Thèse de José Galaz Mora, Université de Montpellier et Inria
06/2024   HDR de Maria Giovanna Rodio, CEA Saclay et Institut Polytechnique de Paris (rapportrice)
03/2024   Thèse d'Arthur Loison, Institut Polytechnique de Paris (rapportrice)
12/2023   Thèse de Lucas Tallois, CEA CESTA et université de Bordeaux (présidente du jury)
12/2023   Thèse de Chourouk El Hassanieh, Sorbonne université et Inria (présidente du jury)
12/2023   Thèse de Clément Bazin, CEA Saclay et Institut Polytechnique de Paris (rapportrice)
12/2021   Thèse d'Adrien Drouillet, CEA Cadarache et université de Bordeaux (examinatrice)
12/2016   Thèse de Florian Blachère, université de Nantes (examinatrice)

Publications

Preprint

1. Relative entropy for the numerical diffusive limit of the linear Jin-Xin system, submitted, HAL
   with M. Bessemoulin-Chatard
   
2. Relaxation models of phase transition flows accounting for surface tension
   Under review, HAL
   

Articles in peer-reviewed journals

1. Analysis of compressible bubbly flows. Part 1: construction of a microscopic model with M. Hillairet and N. Seguin
   Mathematical Modelling and Numerical Analysis (M2AN),57(5), pp.2835-2863, 2023, HAL
   
2. Analysis of compressible bubbly flows. Part 2: derivation of a macroscopic model with M. Hillairet and N. Seguin
   Mathematical Modelling and Numerical Analysis (M2AN), 57(5), pp. 2865-2906, 2023, HAL
   
3. Simulation of an homogeneous relaxation model for a three-phase mixture with miscible phases with J. Bussac
   Comput. Math. Appl., 13, pp.327-347 HAL
   
4. Numerical analysis of DDFV schemes for semiconductors energy-transport models, with M. Bessemoulin-Chatard and G. Lissoni
   Accepted in Computational and Applied Mathematics, 2021 HAL
5. Analysis of numerical schemes for semiconductors energy-transport models with M. Bessemoulin-Chatard and C. Chainais-Hillairet
   Applied Numerical Mathematics, 168, pp.143-169, 2021, HAL
6. Vapour-liquid phase transition and metastability, with H. Ghazi and F. James
   Discrete & Continuous Dynamical Systems -B, Volume 22, 2020, HAL
7. A three-phase flow model with two miscible phases, with J.-M. Hérard
   ESAIM Math. Model. Numer. Anal., Volume 53 (4),pp. 1373--1389, 2019, HAL
8. A thermodynamically consistent model of a liquid-vapor fluid with a gas
   ESAIM: M2AN, Volume 53 (1), pp. 63-84, 2019, HAL
9. Modelling binary alloy solidification by a random projection method with S. Carpy
   Numerical Methods for Partial Diffrential Equations, Volume 35(2), 2018, Preprint
10. A relaxation model for liquid-vapor phase change with metastability with F. James
    Communications in Mathematical Sciences, Volume 14(8), 2016, HAL
11. Numerical convergence rate for a diffusive limit of hyperbolic systems : p-system with damping, with C. Berthon and M. Bessemoulin-Chatard
    SMAI J. of Comput. Math., Volume 2, 2016, HAL
12. Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws, with C. Cancès and N. Seguin
    SIAM Journal on Numerical Analysis (SINUM), Volume 54(2), 2016, HAL
13. Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations, with C. Cancès, F. Coquel, E. Godlewski and N. Seguin
    Communications in Mathematical Sciences, Volume 14(1), 2016, HAL
14. Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation with C. Cancès, E. Godlewski, N. Seguin
    Journal of Scientific Computing, Volume 63(3), 2015, HAL
15. Random sampling remap for compressible two-phase flows with M. Bachmann, P. Helluy, J. Jung and S. Müller
    Computers and Fluids, 86 (2013), 275-283, HAL
16. A well balanced approximate Riemann solver for compressible flows in variable cross-section ducts, with P. Helluy and J.-M. Hérard
    J. Comput. Appl. Math., 236, no. 7, 1976-1992, 2012, HAL
17. Pressure laws and Fast Legendre Transform, with P. Helluy
    Math. Models Methods Appl. Sci., 21, no. 4, 745-775, 2011, HAL
18. A simple parameter-free entropy correction for approximate Riemann solvers, with P. Helluy, J.-M. Hérard and S. Müller
    Comptes Rendus Mécanique, 338, no. 9, 493-498, 2010, HAL

Proceedings

1. Numercial schemes for semiconductors energy-transport models, with M. Bessemoulin-Chatard and C. Chainais-Hillairet, H. Mathis
   Finite volumes for complex applications. IX, 2020, HAL
2. Admissible equations of state for immiscible and miscible mixtures, with G. Faccanoni
   ESAIM Proc.Surveys, 66, 2019 HAL
3. Vapour-liquid phase transition with metastability, with H. Ghazi and F. James
   ESAIM Proc.Surveys, 66, 2019 HAL
4. Numerical convergence for a diffuse limit of hyperbolic systems on bounded domain, with N. Therme
   Finite volumes for complex applications. VIII, 2017
   
5. Approximation d'interface liquide-solide dans l'hydrosphère de Ganymède par un schéma de type Glimm, with S. Carpy
   Rencontres du non linéaire, 2016
   
6. Modeling phase transition and metastable phases, with F. James
   Finite volumes for complex applications. VII. Problems and perspectives, HAL
7. OSAMOAL : Optimized Simulations by Adapted MOdels using Asymptotic Limits, with A.-C. Boulanger, C. Cancès, K. Saleh and N. Seguin
   ESAIM: Proc. Volume 38, pages 183-201, 2012, HAL
8. Model adaptation for hyperbolic systems with relaxation, with N. Seguin
   Finite volumes for complex applications. VI. Problems and perspectives.
   Volume 1, 2, 673-681, Springer Proc. Math., 4, Springer, Heidelberg, 2011
9. A simple model for cavitation with non-condesable gases, with M. Bachmann, P. Helluy and S. Müller
   13th Int. Conference on Hyperbolic Problems, 2010, HAL
10. A well-balanced approximate Riemann solver for variable cross-section compressible flows, with P. Helluy and J.-M. Hérard
    AIAA paper 2009-3540, http://www.aiaa.org, 2009
11. A local time-stepping discontinuous Galerkin algorithm for the MHD system, with C. Altmann, T. Belat, M. Gutnic, P. Helluy and E Sonnendrücker
    ESAIM, Proc. 28, pp. 33-54, 2009, HAL
12. An ALE averaging approach for the computing of bubble oscillations, with P. Helluy and S. Müller
    Finite Volume for Complex Applications V. ISTE and Wiley, pp. 487-494, 2008
    

Habilitation à diriger des recherces

Entropie en dynamique des fluides, defended the 7th of December 2020, Nantes, HAL

PhD Thesis

Étude théorique et numérique des écoulements avec transition de phase, defended the 29th of September 2010, Strasbourg, HAL

Conferences

Organization (member of the organization committee, recent events)

09/2022   New trends in complex flows, Paris
03/2022   Méthodes numériques pour des modèles multi-échelles, Pornichet
06/2021   Mini-symposium SMAI, modèles et schémas numériques pour les écoulements multi-constituants
06/2019   Numerical methods for multiscale models arising in physics and biology, Nantes
05/2019   SMAI, Guidel
01/2019   Rencontre LMJL-IFSTTAR, Agence Lebsegue
07/2018   Ecole du GdR MANU, Roscoff
02/2018   Cloture de l'ANR Achylles, Bordeaux
11/2017   Journées multiphasiques et incertitudes, Nantes
01/2017   Journée d'accueil en Mathématiques, Paris
06/2016   Ecole du GdR Egrin, Piriac-sur-Mer

Some (recent) talks

05/2024   SISMA, CEA Bruyères-le-Châtel
10/2023   Séminaire d'analyse des EDP, Chambéry
09/2023   Congrès des jeunes chercheur.se.s en mathématiques appliquées, CentralSupelec
06/2023   Numerical Aspects of kinetic and hyperbolic PDEs, Cortona
06/2023   ABPDE, 5th edition, Lille
12/2022   Kinetic and hyperbolic equations: modeling, analysis and numerics, Toulouse
09/2022   Seminar of Multiphase Flows, Universität Stuttgart
09/2022   Séminaire Equations aux Dérivées Partielles et Applications, Nancy
04/2022   Séminaire de l'équipe ACSIOM, Montpellier
01/2022   34ème séminaire CEA/GMANI de mécanique des fluides numérique, Paris
01/2022   Seminar of Multiphase Flows, Institüt für Thermodynamik der Luft, Stuttgart
06/2021   Séminaire de l'équipe MACS, Nantes
10/2020   Journée d'Analyse Appliquée de la Fédération Mathématique, Lille des Hauts-de-France

Teaching (Fr)

2023-2024

• Les étudiants inscrits aux enseignements suivants peuvent récupérer les documents sur Moodle.

Méthodes des éléments finis, M1 MANU
Complément de Mathématiques, CPES
Mathématiques 2, CM, TD, TP, L1 PEIP

Responsabilité

Depuis 2023, je suis responsable du Master 1 Modélisation et Analyse numérique (MANU) de l'université de Montpellier.

C.V.

My CV (fr) is available here (last update: 08/2021)

Professional career

Since 2022   Professor, Université de Montpellier, Institut Montpellierain Alexander Grothendieck
2011-2022   Assistant professor, Université de Nantes, Laboratoire de Mathématiques Jean Leray
2010-2020   Post-doctoral position, Université Paris 6, Laboratoire Jacques-Louis Lions

2019       Associate researcher CNRS (délégation, 6 months)
2016       Associate researcher CNRS (délégation, 6 months), Laboratoire de Planétologie et Géodynamique

Training and diplomas

2020/12/07  Habilitation à Diriger les Recherches, Université de Nantes
          Entropie en dynamique des fluides
2010/09/30  PhD Thesis, Université de Strasbourg
          Etude théorique et numérique des écoulements avec transition de phase

Administrative responsabilities (fr)

01/2024 -          Délégué scientifique Transfert et Innovation à CNRS Mathématiques - INSMI
11/2023 -          Coordinatrice du PTL MIPS-COLORS, Pôle MIPS, Université de Montpellier
09/2023 -          Responsable du Master M1 MANU (Modélisation et Analyse numérique), Université de Montpellier
09/2022 - 06/2024     Référente parité pour l'IMAG auprès du CNRS
01/2022 - 08/2022     Directrice de l'Agence Lebesgue
11/2021 - 08/2022     Membre élue du Conseil des Etudes de l'UFR Sciences et Techniques, Nantes
10/2021 - 08/2022     Correspondante de l'Agence Henri Lebesgue pour le LMJL
01/2021 - 08/2022     Membre nommée du Bureau du Laboratoire de Mathématiques Jean Leray
09/2020 - 08/2022     Membre élue du Conseil du Département de Mathématiques, Nantes

Quelques responsabilités passées

2016-2020      Responsable du Master Modélisation, Analyse numérique, Calcul Scientifique (MACS), Nantes
2014-2020      Membre du Conseil de Perfectionnement des Masters de Mathématiques, Université de Nantes
2014-2016      Correspondante AMIES et SMAI pour le LMJL
2013-2014      Membre élue du Conseil Scientifique de l'UFR Sciences et Techniques, Nantes
2013-2014      Membre élu du Conseil du Département de Mathématiques, Nantes

Comités de sélection

Campagne 2021      Poste MCF, section 25/26, Montpellier
Campagne 2020      Membre du comité CRCN INRIA
Campagne 2020      Poste PRAG, Nantes
Campagne 2019      Présidente de deux comités MCF, section 27, Nantes
Campage 2017     Poste PRAG, Nantes
Campage 2016     Poste PRAG, Nantes
Campagne 2015      Poste MCF, section 26, INSA Toulouse
Campagne 2013      Deux postes MCF, section 26, Nantes et Nancy

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