M2N - Modélisation mathématique et numérique

Les dernières publications publications HAL

wilk — 2026-05-19T11:19:45Z

Graph-Based Reduced System V1

2026, ⟨swh:1:dir:eecdba037a92832d8fbf9efe54fca9e4e0bd92af;origin=https://hal.archives-ouvertes.fr/hal-05705717;visit=swh:1:snp:8876a816059f345f73573d6e25264d51dd7a522c;anchor=swh:1:rel:a205796d59f3e90b9f4675bb5b857bd73bbd1909;path=/⟩

Logiciel

hal-05705717

An adaptive-learning framework for chemistry tabulation in turbulent reacting flows

Kai Niemietz , Clément Scherding , Walter Gemassmer , Taraneh Sayadi , Heinz Pitsch

Computers and Fluids, 2026, 314, pp.107099. ⟨10.1016/j.compfluid.2026.107099⟩

Article dans une revue

hal-05769158

DNS and LES of the Flow Over Periodic Hills with a Remeshed Vortex Method

Marthe de Crouy-Chanel , Chloé Mimeau , I. Mortazavi , Alessandro Mariotti , Maria Vittoria Salvetti

Flow, Turbulence and Combustion, 2026, 117 (1), pp.7. ⟨10.1007/s10494-026-00767-7⟩

Article dans une revue

hal-05762487

Quasi-transient reduced-order model based on graph decomposition and real-time data assimilation

Cheima Djemel , Olivier Piller , Thierry Horsin , Chloé Mimeau , I. Mortazavi

4th International Joint Conference on Water Distribution Systems Analysis and Computing and Control in the Water Industry (WDSA/CCWI 2026), KIOS, University of Cyprus and KWR, May 2026, Paphos (Cyprus), Cyprus

Communication dans un congrès

hal-05654033

Digital twin of water distribution networks and slow transient model

Cheima Djemel , Felipe V Caro , Olivier Piller

Journée de la mécanique, May 2026, Bordeaux, France

Communication dans un congrès

hal-05621276

Un modèle réduit exact pour la conception d'un jumeau numérique d'un réseau de distribution d'eau basé sur l'assimilation de données en temps réel

Cheima Djemel , Olivier Piller , Thierry Horsin , Chloé Mimeau , I. Mortazavi

47ème Congrès National d'Analyse Numérique, Société de Mathématiques Appliquées et Industrielles (SMAI), Jun 2026, Saint-Jacut-de-la-Mer, France

Communication dans un congrès

hal-05612835

Topological Digital Twins : A Reduced-Order Framework for the Analysis and Forecasting of Convective Systems

Hélène Canot , Philippe Durand , Emmanuel Frénod

Mathematics , 2026, 14 (9), pp.1513. ⟨10.3390/math14091513⟩

Article dans une revue

hal-05601147

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

Nathalie Nouaime , B. Després , M. Puscas , C. Fiorini

International Journal for Numerical Methods in Fluids, 2026, 98 (5), pp.557-577. ⟨10.1002/fld.70052⟩

Article dans une revue

hal-05751651

Topological analysis of composite ageing via dual anisotropic filtrations and persistent homology

Hélène Canot , Philippe Durand , Emmanuel Frénod , Camille Gillet , V. Nassiet

International Journal of Topology, 2026, 3 (2), pp.11. ⟨10.3390/ijt3020011⟩

Article dans une revue

hal-05643849

Prédiction d'écoulement par de l'apprentissage profond basé sur les modèles reduits

Nicolas Lepage

Mécanique des fluides [physics.class-ph]. Conservatoire national des arts et metiers - CNAM, 2025. Français. ⟨NNT : 2025CNAM0057⟩

Thèse

tel-05623588

Voir la liste complète des publications

Analyseur sonore de Koenig 2.0 : Jumeau numérique

wilk — 2026-01-15T13:09:49Z

Le candidat doit être à la recherche d'un stage de fin d'études en génie mécanique ou en mathématiques
appliquées et avoir une expérience en informatique scientifique. Stage au laboratoire M2N (CNAM), 2 rue conté, 75003 Paris.

Propositions de thèse

wilk — 2024-05-28T07:26:05Z

2026-02-17 : AI-Powered Wind Field Modeling for Next-Generation Wind Farm Optimization (pdf),
2026-02-17 : State-consistent physics guidance for Diffusion Models : a joint parameter covariance-based approach to inverse problems (pdf),
2026-01-13 : AI-Assisted Turbulence Modeling for Rotor–Stator Cavity Flows in Space Turbo-pumps (pdf).

(thèses en cours)

(thèses soutenues depuis 2016)

Modèles réduits et intelligence artificielle

wilk — 2023-12-19T10:34:45Z

L'objectif est d'exploiter l'apprentissage profond à l'aide de réseaux de neurones spécifiquement conçus pour l'apprentissage d'équations différentielles (Deep Learning Neural ODE) pour la conception entre autres de modèles réduits :

interactions fluide-structure (C. Fiorini, N. Lepage, I. Mortazavi, A. Tiba),
réseaux électromagnétiques, rupture dans les matériaux physicochimiques (P. Durand).

Thèses soutenues depuis 2016

wilk — 2021-03-03T13:33:55Z

Marthe de Crouy-Chanel (Novembre 2021, juillet 2025) - Direction : I. Mortazavi en co-encadrement avec C. Mimeau
Méthode particulaire hybride pour la simulation d'écoulements complexes, financement : bourse doctorale ministérielle,
Azzeddine Tiba (Novembre 2021, janvier 2025) - Direction : I. Mortazavi et F. de Vuyst
Approche hybride simulation-apprentissage pour l'interaction fluide-structure dans un contexte industriel,
Haythem Cheikh (Octobre 2020, juin 2024) - Directeur(s) Th. Horsin en codirection avec Mohamed Ali Jendoubi (Univ. Tunis)
Etude asymptotique des solutions de quelques systèmes dynamiques,
Nathalie Nouaime (octobre 2021 ...) par Camilla Fiorini (directeurs de thèse : Bruno Després (Laboratoire Jacques-Louis Lions, Sorbonne Université) et Maria Adela Puscas (CEA Centre de Saclay, ISAS/DM2S/STMF/LMSF) - Sensitivity analysis for thermohydrodynamic models : uncertainty analysis and parameter estimation,
Camille Chambon (Novembre 2018, 2023) - Directeur(s) I. Mortazavi en codirection avec O. Piller (INRAE)
Modélisation des fuites diffuses et des phénomènes d'inertie dans les réseaux de distribution d'eau potable - quantification et propagation d'incertitudes, financement Projet ROC INRAE-Région Nouvelle Aquitaine.
Stéphie Edwige (Janvier 2016 - Mars 2019) - Directeur I. Mortazavi
Développement de méthodes d'optimisation appliquées au contrôle de d'écoulement en aérodynamique externe pour réduire les pertes aérodynamiques sur maquette de véhicule type SUV, Thèse CIFRE Plastic Omnium pour CNAM.
Francois Delassaux (Novembre 2015 – Décembre 2018) - Directeur I. Mortazavi
Méthodes numériques hybrides pour la simulation des écoulements autour des véhicules terrestres réels, financement PSA pour le CNAM.
Jean-Baptiste Keck (Octobre 2015 - Décembre 2019) - Directeur(s) I. Mortazavi en codirection avec GH Cottet et C. Picard, Université Joseph Fourrier Grenoble, LJK)
Méthode vortex-pénalisation et applications multi-physiques, financement MRE en contrat de collaboration avec l'ETI Ingéliance.
Mathias Braun (Novembre 2015 - Avril 2019) - Directeur(s) I. Mortazavi en codirection avec A. Iollo et O. Piller
Modélisation réduite pour la résilience augmentée des réseaux d'alimentation en eau potable, thèse financée dans le cadre du Consortium franco-allemand ResiWater par Irstea.
Théo Corot (septembre 2014 - septembre 2017) - Directeur B. Mercier
Simulation numérique d'ondes de choc dans un milieu bifluide : application à l'explosion vapeur, (plus d'info)
Hervé Hung (Décembre 2012 - Février 2016) - Directeur(s) I. Mortazavi en codirection avec A. Iollo et O. Piller
Sur la recherche mathématique et numérique des sources de contamination dans les réseaux d'eau potable en les considérant comme un problème inverse et en résolvant des problèmes de mélange dans les jonctions d'une manière précise, thèse financée dans le cadre du Consortium franco-allemand SmartOnLine.

(thèses en cours)

(Propositions de thèse)

Thèses en cours

wilk — 2021-03-03T13:32:23Z

Giorgio Musso (décembre 2025 ...) - Direction : I. Mortazavi, C. Fiorini et A. Del Grosso
Modèles réduits préservant la structure pour lois de conservation avec terme source,
Aymane Lahgazi (novembre 2025 ...) - Direction : T. Sayadi, I. Mortazavi
Réduction de modèles basés sur les données pour la conception robuste et l'optimisation d'applications d'ingénierie complexes,
Eloi Lebrec (octobre 2025 ...) - Direction : T. Sayadi
Machine learning for fluid system efficiency,
Kashish Taneja (octobre 2024 ...) - Direction : T. Sayadi
AI-based ROM for reconstructing turbulent flows,
Léo Roussel (octobre 2023 ...) - Direction : S. Marié (Cnam, labo. DynFluid) et Ch. Mimeau
Étude de l'impact des milieux poreux sur l'aérodynamique à grand nombre de Reynolds,
Riccardo Maranelli (septembre 2023 ...) - Direction : T. Sayadi, I. Mortazavi et V. Mons (Onera)
Stratégies d'optimisation pour le contrôle des écoulements complexes,
Cheima Djemel (septembre 2023 ...) - Direction : Th. Horsin, Ch. Mimeau et O. Piller (INRAE)
Vers un jumeau numérique pour l'adaptation résiliente et durable des réseaux d'eau,
Nicolas Lepage (Octobre 2022 ...) - Direction : I. Mortazavij, N. Thome, S. Beneddine et C. Fiorini
Simulation et contrôle d'écoulements bistables par de l'intelligence artificielle,

(thèses soutenues depuis 2016)

(Propositions de thèse)

Dynamique des fluides numérique

wilk — 2017-09-14T13:29:08Z

L'objectif est d'obtenir des simulations numériques fiables et performantes pour des problèmes provenant de la physique ou de l'industrie. Nous délimitons essentiellement notre champ d'application à la mécanique des fluides. Ces problèmes sont étudiés à l'aide d'outils numériques HPC spécifiquement conçus (méthodes Vortex (VM) semi-lagrangiennes, méthodes SPH (Smoothed Particle Hydrodynamics), ...). La réalisation de ces approches nécessite des techniques d'analyse et des méthodes numériques appropriées (analyse de sensibilité, quantification des incertitudes et étude de schémas numériques d'ordre élevé).

Ce thème est composé de :

méthodes Vortex semi-lagrangiennes (Ch. Mimeau, I. Mortazavi, M. De Crouy Channel),
méthodes SPH (A. Hérault),
HPC et simulation numérique pour les véhicules terrestres (I. Mortazavi),
analyse de sensibilité, quantification (C. Fiorini),
analyse de stabilité des écoulements (C. Mimeau).

Une étude aérodynamique sur deux géométries simplifiées

Une étude aérodynamique est menée sur deux géométries simplifiées : le corps d'Ahmed 25° à arêtes vives [Ahm84] et le corps d'Ahmed 25° à arêtes arrondis [Ros16]. Une approche hybride RANS/LES est utilisée : le modèle DDES SST. Ce modèle tire les avantages des formulations RANS et LES. En proche paroi, dans les couches limites non décollées, le modèle fonctionne en RANS. Lorsque l'écoulement est massivement décollé, la formulation du modèle bascule en LES, permettant de résoudre plus précisément l'écoulement. Des simulations numériques ont été réalisées et comparées aux données expérimentales de [Ros16]. Plus de détails dans [Del17]. Les vidéos permettent d'observer les iso surfaces de critère $Q = 3 10^5$ ainsi que les différences de topologie d'écoulement autour des deux géométries étudiées.

[Amh84] Ahmed, S.R., Ramm, R. and Faltin, G. : Some salient features of the time-averaged ground vehicle wake, SAE Technical Paper Series, 840300, Detroit, (1984).
[Del17] Delassaux, F., Mortazavi, I., Herbert, V. and Ribes, C. : Numerical study of the flow around 25° Ahmed bodies with hybrid turbulence models. DLES11 will be published in the ERCOFTAC series book, 2017.
[Ros16] Rossitto, G., Sicot, C., Ferrand, V., Borée, J., and Harambat, F., ‘Influence of afterbody rounding on the pressure distribution over a fastback vehicle', Experiments in Fluids 57:43, 2016.

Un bateau propulsé rencontrant des vagues

www.gpusph.org

Un exemple de contrôle passif d'écoulement autour d'un hémisphère à l'aide d'un revêtement poreux

Les simulations numériques directes, d'un écoulement incompressible tri-dimensionnel autour d'un hémisphère à Re=1000, ont été effectuées par une méthode de vortex-pénalisation qui permet de réaliser des calculs d'écoulement simultanés dans des milieux poreux et fluides. Les comparaisons (voir image) entre un hémisphère solide (gauche) et deux hémisphères recouverts d'une couche poreuse (centre) et d'un anneau poreux (droite) ont permis de constater que le dernier cas a une force de traînée réduite de 16% comparé au cas non contrôlé et assure une régularisation globale de l'écoulement, caractérisé entre autre par un sillage moins chaotique, aux structures tourbillonnaires moins développées. doi.org/10.1016/j.euromechflu.2017.03.002

Simulation d'un choc cylindrique réprésentant une explosion vapeur

Simulation d'un choc cylindrique réprésentant une explosion vapeur dans un réacteur nucléaire expérimental. La simulation est faite avec la méthode Lagrangienne présentée dans [1]. Dans la vidéo de gauche, on observe l'évolution du profil de pression, et donc la propagation de l'onde de choc, dans la piscine du réacteur. Dans la vidéo de droite, on observe l'évolution d'un maillage au cours du temps sur ce même cas test. On peut voir que les déformations du maillages, inévitables lors de l'utilisation de méthodes Lagrangiennes, n'entraînent pas de retournements de mailles et que donc la simulation de tels phénomènes peut se faire avec des méthodes Lagrangiennes.

[1] Théo, Corot & Mercier, B. (2017). A new nodal solver for the two dimensional Lagrangian hydrodynamics. Journal of Computational Physics. . 10.1016/j.jcp.2017.09.053.

Contrôle et optimisation numériques

wilk — 2017-09-14T12:42:24Z

On entend ici par contrôle numérique, soit la mise en œuvre numérique d'un problème de contrôle ou d'optimisation en vue d'une application effective, soit le développement de conditions aux limites ad-hoc (conditions limites absorbantes) permettant d'exploiter un modèle physique sur un domaine tronqué par rapport à un domaine plus large pouvant servir comme condition d'interface en décomposition de domaines (DDM).

Ce thème est composé de :

contrôle Lagrangien et stabilisation asymptotique (Th. Horsin),
contrôle aérodynamique pour les véhicules terrestres (I. Mortazavi),
réseaux d'eau (T. Horsin, C. Mimeau, I. Mortazavi),
conditions limites absorbantes, DDM (J. Orellana, O. Wilk).

Un instantané d'une simulation numérique associée à un problème de contrôlabilité lagrangienne

Cette figure montre une simulation numérique de la contrôlabilité lagrangienne. La courbe jaune délimite la zone cible et la courbe bleue est un instantané du bord de la zone de portion de fluide que l'on déplace en souhaitant l'amener sur la cible. Le contrôle se fait sur le bord intérieur du domaine. Une des difficultés des simulations est de garder le caractère différentiable des objets. Crédits : Guillaume Legendre & François-Xavier Vialard (Université Paris-Dauphine)

Propagation d'une perturbation d'origine surfacique dans un milieu composite fluide en interaction fluide-structure avec un corps immergé

La nécessité d'introduire un domaine d'étude arbitrairement fini pour déterminer la propagation des ondes dans un milieu infini soulève le problème de la recherche de conditions transparentes adéquates empêchant d'une part le retour des ondes par rebonds et évitant d'autre part l'apparition de singularités communes dans l'étude de la propagation des ondes dans les milieux stratifiés en domaine limité. Par rapport aux cas classiques , les expressions des conditions transparentes sont à réécrire car elles dépendent des conditions de propagations à l'interface entre des milieux de propriétés physiques et dynamiques très différentes. Cas classique de conditions aux limites (film de gauche) et cas avec de nouvelles conditions aux limites évitant les singularités (film de droite).

Bissengue, D. Conditions aux limites transparentes et modélisation des
vagues de surface dans un écoulement. Master's thesis, EICNAM, 2012.

Orellana, J. « Non-reflecting boundary conditions for surface water wave simulation in the vicinity of a solid body » Proceedings of the fourteenth Zaragoza-Pau Conference on Mathematics and its Applications, september 2016, à paraître.

Destuynder, P., and Fabre, C. A discussion on neumann–kelvin's model for progressive water waves. Applicable Analysis 90, 12 (2011), 1851–1876.

Une résolution numérique par décomposition de domaine d'un modèle d'hydrodynamique couplé de vagues

Utilisation d'une condition limite absorbante "CLA" d'ordre élevé (Hagstrom et Warburton - 2004) dédiée aux ondes non évanescentes sur un modèle hydrodynamique couplé de vagues (Ph. Destuynder-2010,2012) pour réduire le domaine de calcul et l'utiliser comme condition d'interface permettant ainsi la résolution à l'aide de la méthode de Schwarz relaxation d'ondes "SWR" (Schwarz-1870, Lelarasmee-1982, Bjørhus-1995). La difficulté due au caractère couplé du modèle associé à des vitesses d'ondes différentes peut être réduite à l'aide d'une contrainte sur la CLA. Le résultat a été obtenu en cinq itérations de "SWR". La solution du problème (en surface "courbe grise" et dans le bassin "en tons de gris") se confond à la solution de référence (en surface "courbe noire" et dans le bassin "iso-contours") obtenue sans décomposition de domaine.
Wilk, Olivier - "EDP-Normandie" Caen 2013 - ISBN 978-2-9541221-2-0

Les publications de l'équipe M2N

wilk — 2017-06-27T08:37:52Z

Lien pour affiner une éventuelle recherche bibliographique concernant l'équipe

2025

Article de revue

Bérot Océane-Sophie, Hassoune-Rhabbour Bouchra, Acheritobehere Hervé, Laforet Caroline, Canot Hélène, Durand Philippe et Nassiet Valérie (2025) « Study of the hygrothermal aging of a phenolic matrix and glass fiber composite », Journal of Composite Materials (mars 29), p. 00219983251331731. DOI : 10.1177/00219983251331731. https://journals.sagepub.com/doi/10.1177/00219983251331731.

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Résumé : The hygrothermal-oxidative aging of a phenolic/short glass fiber composite was studied in a humid environment (100% relative humidity) for over a year at three temperatures: 50°C, 70°C, and 90°C. Wet aging of this composite is rarely studied in the literature due to the nature of its matrix. Indeed, phenolic resins are usually used to resist thermal stress at very high temperatures. Infrared spectroscopy by ATR mode, dynamic thermomechanical analyses, water sorption measurements and optical microscopy were used in a complementary way to monitor the influence of humidity, oxygen and temperature on the composite structure. From the first aging times, resin plasticizing and post-curing of resin are associated to cracks occurring from the resin/fiber interface, due to the hydration of the fibers which would be treated by silane-type coupling agent. Sub-crosslinking would be related to the presence of intermediate products such as amides, imides, or phenol groups in excess, strongly hydrophilic. Consequently, along with time, hydrolysis is accelerated. Moreover, the oxidation products revealed by FTIR analyses will favor interactions with water. The cracks are then deviated inwards the resin matrix.

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Canot Hélène, Durand Philippe et Frénod Emmanuel (2025) « Bow echo alarm system using Topological Data Analysis », Applied Mathematics for Modern Challenges (mars 3), p. 0-0. DOI : 10.3934/ammc.2025002. https://www.aimsciences.org/en/article/doi/10.3934/ammc.2025002.

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Résumé : This study examines the extremely severe storm that hit Corsica in the early hours of August 18, 2022. A 'derecho' is a powerful storm system known for producing long-lasting and widespread destructive winds. In this case, the storm was driven by a large cluster of thunderstorms that organized into a fast-moving structure, leading to intense wind gusts across the region. The associated radar signatures generally exhibit linear characteristics, often displaying 'bow echo' shapes. In this work, we study the formation and evolution of the bow echo that struck the Corsican coast, causing significant damage and multiple fatalities. Bow echoes are notoriously difficult to predict, as they can form quickly and remain quite localized. We propose using Topological Data Analysis (TDA, specifically, persistent homology, to characterize the shape evolution of a bow echo over time. From weather radar images of reflectivity, we generate point clouds corresponding to the most intense precipitation cells and compute their persistence diagrams via Vietoris–Rips filtrations. We compare persistence diagrams using the Bottleneck distance, the Wasserstein distance, and the kernel approach: the Persistence Weighted Gaussian Kernel (PWGK), the Sliced Wasserstein Kernel (SWK) and the Pertinence Fisher Kernel (PFK). We then apply hierarchical clustering, principal component analysis (PCA), and change-point detection to these distances in order to highlight major structural transitions and detect the moment when the bow echo forms. Additionally, we incorporate a curvature-based metric by measuring the ratio between the arc length and the straight length of the arc shape. We show that combining TDA-based distances with curvature measurements provides valuable insight into the storm's evolution. Finally, we introduce a discussion on triggering an alert based on the topological analysis of the bow echo. Our results suggest that TDA-based methods can help identify distinct structural changes in complex meteorological phenomena.

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Canot Hélène, Durand Philippe et Frenod Emmanuel (2025) « Curved Geometries in Persistent Homology: From Euclidean to AdS Metrics in Bow Echo Dynamics », International Journal of Topology, 2 (4) (novembre 4), p. 19. DOI : 10.3390/ijt2040019. https://www.mdpi.com/2813-9542/2/4/19.

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Résumé : We propose a geometry topological framework to analyze storm dynamics by coupling persistent homology with Anti-de Sitter (AdS)-inspired metrics. On radar images of a bow echo event, we compare Euclidean distance with three compressive AdS metrics (α = 0.01, 0.1, 0.3) via time-resolved H1 persistence diagrams for the arc and its internal cells. The moderate curvature setting (α=0.1) offers the best trade-off: it suppresses spurious cycles, preserves salient features, and stabilizes lifetime distributions. Consistently, the arc exhibits longer, more dispersed cycles (large-scale organizer), while cells show shorter, localized patterns (confined convection). Cross-correlations of H1 lifetimes reveal a temporal asymmetry: arc activation precedes cell activation. A differential indicator Δ(t) based on Wasserstein distances quantifies this divergence and aligns with the visual onset in radar, suggesting early warning potential. Results are demonstrated on a rapid Corsica bow echo; broader validation remains future work.

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Hélène Canot, Philippe Durand et Emmanuel Frénod (2025) « Quantum-enhanced deep learning for severe weather prediction: a 10-qubit QCNN-LSTM for bow echo forecasting », AIMS Press, 9, p. 152-187. DOI : 10.3934/bdia.2025008. https://www.aimspress.com/article/doi/10.3934/bdia.2025008.

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2024

Article de revue

Oceane-Sophie Bérot, Hélène Canot, Philippe Durand, Bouchra Hassoune-Rhabbour, Herv ` e Acheritobehere, et Caroline Laforet, and Valerie Nassiet (2024) « Choice of Parameters of an LSTM Network, based on a Small Experimental Dataset », Engineering Letters, 32 (1), p. 59-71. https://www.engineeringletters.com/issues_v32/issue_1/EL_32_1_06.pdf.

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Canot Hélène, Durand Philippe, Frénod Emmanuel, Hassoune Bouchra, Nassiet Valérie et Tramis Olivier (2024) « Topological data analysis for roughness surfaces of bonding assembly », Discrete and Continuous Dynamical Systems - S (août 15), p. 0-0. DOI : 10.3934/dcdss.2024144. https://www.aimsciences.org/en/article/doi/10.3934/dcdss.2024144.

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Résumé : Testing the reliability of bonded joints in material assemblies is one of the major subjects in the aeronautical industry. One of the methods for characterizing adhesion is based on the study of the roughness of the fracture surfaces of assemblies. In this study, the interest is focused on the quantification of the adhesion of the bonded structure by the corner cleavage test, allowing the study of crack propagation within bonded assemblies. Optical profilometry measurements, obtained by scanning the surface of the fractured surfaces of monoadhesives: ABT M52, copolymer-doped and non-nanostructured AHT are used. The aim of the profilometric study is to quantify surface roughness. To go further than traditional methods of characterizing roughness, we analyze the profiles using mathematical methods to confirm the experimental studies and extract more geometric information. We apply various techniques of topological data analysis (TDA) to extract the topological features of the profiles. These techniques recover experimental elements in a quantitative manner. Persistence diagrams give us a multi-scale characterization of the rupture facies, attesting the voids, micro-cracks at nano-level, quantifying the maximum amplitude of the peaks at micro level. We extract features vectors using persistent images for each profile and we look for similarities in persistence diagrams using Bottleneck and Wasserstein distances in perspective of a machine learning application in a future study. Then the profiles were studied by Takens embedding which will produce a point cloud analyzed by homological persistence in order to produce indications of periodicity or quasi-periodicity. This computational topological approach makes it possible to extract the essential characteristics of the surface and roughness of the profile of the adhesives in order to conclude on their toughness and fracture resistance.

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Fiorini Camilla, Puscas Maria Adela et Després Bruno (2024) « Sensitivity analysis for a thermohydrodynamic model: Uncertainty analysis and parameter estimation », European Journal of Mechanics - B/Fluids, 105, p. 25-33. DOI : 10.1016/j.euromechflu.2023.12.010. https://linkinghub.elsevier.com/retrieve/pii/S0997754623001838.

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Haythem Cheikh (2024) « Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems », Evolution Equations and Control Theory, 13 (6) (décembre 6), p. 1436-1459. DOI : 10.3934/eect.2024035. https://www.aimsciences.org//article/doi/10.3934/eect.2024035.

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Wilk Olivier (2024) « Padé-type high-order absorbing boundary condition for a coupled hydrodynamic wave model with surface tension effect », Engineering Mathematics, 144. DOI : 10.1007/s10665-023-10317-z. https://link.springer.com/article/10.1007/s10665-023-10317-z.

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2023

Article de revue

Chloé Mimeau, Simon Marié, Léo Roussel et Iraj Mortazavi (2023) « Wake Prediction in 3D Porous–Fluid Flows: A Numerical Study Using a Brinkman Penalization LBM Approach », Flow, Turbulence and Combustion (août 28). DOI : 10.1007/s10494-023-00471-w. https://link.springer.com/10.1007/s10494-023-00471-w.

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Delassaux Francois, Mortazavi Iraj, Herbert Vincent et Ribes Charles (2023) « Numerical analysis of unsteady flow features around a realistic Estate vehicle with hybrid RANS/LES methods », Computers & Fluids, 262, p. 105935. DOI : 10.1016/j.compfluid.2023.105935. https://linkinghub.elsevier.com/retrieve/pii/S0045793023001603.

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Haythem Cheikh (2023) « Convergence to equilibrium for solutions of some forced discretized second-order gradient-like systems », Mathematical Control and Related Fields. DOI : 10.3934/mcrf.2023025. https://www.aimsciences.org//article/doi/10.3934/mcrf.2023025.

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Helène Canot, Philippe Durand, Emmanuel Frenod, Bouchra Hassoune-Rhabbour, Valerie Nassiet (2023) « A Review of Homogenization and Fractal Methods Applied to the Roughness Analysis of Bonded Materials », International Journal of Applied Mathematics, 53 (2), p. 470-481. https://iaeng.org/IJAM/issues_v53/issue_2/IJAM_53_2_03.pdf.

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Horsin Thierry et Jendoubi Mohamed Ali (2023) « Asymptotic Behavior of an Adapted Implicit Discretization of Slowly Damped Second Order Dynamical Systems », Applied Mathematics & Optimization, 88 (2), p. 64. DOI : 10.1007/s00245-023-10027-z. https://link.springer.com/10.1007/s00245-023-10027-z.

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Chapitre de livre

Fiorini Camilla, Boulvard Pierre-Marie, Li Long et Mémin Etienne (2023) « A Two-Step Numerical Scheme in Time for Surface Quasi Geostrophic Equations Under Location Uncertainty », in Stochastic Transport in Upper Ocean Dynamics, éd. par Bertrand Chapron, Dan Crisan, Darryl Holm, Etienne Mémin, et Anna Radomska, Cham : Springer International Publishing, 10: p. 57-67. ISBN : 9783031189876 9783031189883. https://link.springer.com/10.1007/978-3-031-18988-3_5.

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Résumé : Abstract In this work we consider the surface quasi-geostrophic (SQG) system under location uncertainty (LU) and propose a Milstein-type scheme for these equations, which is then used in a multi-step method. The SQG system considered here consists of one stochastic partial differential equation, which models the stochastic transport of the buoyancy, and a linear operator linking the velocity and the buoyancy. In the LU setting, the Euler-Maruyama scheme converges with weak order 1 and strong order 0.5. Our aim is to develop higher order schemes in time, based on a Milstein-type scheme in a multi-step framework. First we compared different kinds of Milstein schemes. The scheme with the best performance is then included in the two-step scheme. Finally, we show how our two-step scheme decreases the error in comparison to other multi-step schemes.

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Fiorini Camilla (2023) « Uncertainty Propagation of the Shock Position for Hyperbolic PDEs Using a Sensitivity Equation Method », in Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems, éd. par Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, et Laurent Navoret, Cham : Springer Nature Switzerland, 433: p. 131-139. ISBN : 9783031408595 9783031408601. https://link.springer.com/10.1007/978-3-031-40860-1_14.

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2022

Article de revue

Bilotta Giuseppe, Zago Vito, Centorrino Veronica, Dalrymple Robert A., Hérault Alexis, Del Negro Ciro et Saikali Elie (2022) « A numerically robust, parallel-friendly variant of BiCGSTAB for the semi-implicit integration of the viscous term in Smoothed Particle Hydrodynamics », Journal of Computational Physics, 466, p. 111413. DOI : 10.1016/j.jcp.2022.111413. https://linkinghub.elsevier.com/retrieve/pii/S0021999122004752.

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Destuynder P., Hervella-Nieto L., López-Pérez P.M., Orellana J. et Prieto A. (2022) « A modal-based Partition of Unity Finite Element Method for elastic wave propagation problems in layered media », Computers & Structures, 265, p. 106759. DOI : 10.1016/j.compstruc.2022.106759. https://linkinghub.elsevier.com/retrieve/pii/S0045794922000190.

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Edwige Stéphie, Gilotte Philippe et Mortazavi Iraj (2022) « Computational Analysis of Actuation Techniques Impact on the Flow Control around the Ahmed Body », Fluids, 7 (2) (janvier 24), p. 52. DOI : 10.3390/fluids7020052. https://www.mdpi.com/2311-5521/7/2/52.

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Résumé : Active flow control with jet devices is a promising approach for vehicle aerodynamics control. In this work an extended computational study is performed comparing three different actuation strategies for active flow control around the square back Ahmed body at Reynolds number 500,000 (based on the vehicle height). Numerical simulations are run using a Large Eddy Simulation (LES) approach, well adapted to calculate the unsteady high Reynolds number flow control using periodic jet devices. computations are validated comparing to in-house experiments for uncontrolled and some controlled cases. The novelty of this investigation is mainly related to the in-depth study of the base flow and actuation approaches by an accurate LES method and their comparison to experiments. Here, several simulations are performed to estimate the effect of active controls on the flow topology and the drag reduction. Beside the continuous blowing jet, three periodic actuation techniques including periodic blowing and suction as well as the zero flux synthetic jet devices are explored. The slots are implemented discontinuously in order to achieve a better control efficiency linked to vortex generation. In this framework, spectral analyses on global aerodynamical quantities, rear pressure/drag coefficient behavior examination as well as wake structure investigations are performed in order to compare these jet actuations. As a result, shear layer variations are observed during the blowing phase, but the main flow topology change occurs with suction and synthetic jets. Rear back pressure is therefore substantially increased.

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Gilotte Philippe, Mortazavi Iraj, Colon de Carvajal Alfonso, Edwige Stephie et Nayeri Christian Navid (2022) « Aerodynamical characteristics of a reduced scale ground vehicle according to yaw angle variations », International Journal of Numerical Methods for Heat & Fluid Flow, 32 (4) (mars 28), p. 1222-1236. DOI : 10.1108/HFF-08-2021-0522. https://www.emerald.com/insight/content/doi/10.1108/HFF-08-2021-0522/full/html.

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Résumé : Purpose The purpose of this paper is to study pressure measurement correlations, as the location of the pressure sensors should enable to capture variation of the drag force depending on the yaw angle and some geometrical modifications. Design/methodology/approach The present aerodynamical study, performed on a reduced scale mock-up representing a sport utility vehicle, involves both numerical and experimental investigations. Experiments performed in a wind tunnel facility deal with drag and pressure measurements related to the side wind variation. The pressure sensor locations are deduced from wall streamlines computed from large eddy simulation results on the external surfaces of the mock-up. Findings After validation of the drag coefficient (Cd) values computed with an aerodynamic balance, measurements should only imply pressure tap mounted on the vehicle to perform real driving emission (RDE) tests. Originality/value Relation presented in this paper between pressure coefficients measured on a side sensor and the drag coefficient data must enable to better quantify the drag force contribution of a ground vehicle in RDE tests.

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Hélène Canot, Philippe Durand, Emmanuel Frenod, Bouchra Hassoune-Rhabbour, Valerie Nassiet (2022) « Prediction the Strain of Traction-aged Polymer Systems from Artificial Neural Networks with Regularization », International Association of Engineers, 49 (4) (décembre). https://www.iaeng.org/IJCS/issues_v49/issue_4/IJCS_49_4_26.pdf.

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Horsin Thierry et Jendoubi Mohamed Ali (2022) « Asymptotics for some discretizations of dynamical systems, application to second order systems with non-local nonlinearities », Communications on Pure & Applied Analysis. DOI : 10.3934/cpaa.2022007. https://www.aimsciences.org/article/doi/10.3934/cpaa.2022007.

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Résumé :
In the present paper we study the asymptotic behavior of discretized finite dimensional dynamical systems. We prove that under some discrete angle condition and under a Lojasiewicz's inequality condition, the solutions to an implicit scheme converge to equilibrium points. We also present some numerical simulations suggesting that our results may be extended under weaker assumptions or to infinite dimensional dynamical systems.

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Article de colloque

Delassaux Francois, Mortazavi Iraj, Herbert Vincent et Ribes Charles (2022) « Flow Simulation and Investigation Around a Estate Vehicle Using Hybrid Methods », in Volume 2: Multiphase Flow (MFTC); Computational Fluid Dynamics (CFDTC); Micro and Nano Fluid Dynamics (MNFDTC), Toronto, Ontario, Canada : American Society of Mechanical Engineers, p. V002T05A011. ISBN : 9780791885840. DOI : 10.1115/FEDSM2022-86921. https://asmedigitalcollection.asme.org/FEDSM/proceedings/FEDSM2022/85840/V002T05A011/1147192.

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Résumé : Abstract In this work hybrid RANS/LES methods are adapted in order to simulate the flow around a realistic car geometry (estate vehicle). Numerical results are compared to in-house experiments. In order to achieve an accurate understanding of the flow behavior around the car geometry, a wide range of experiments are performed measuring forces, pressure coefficients and tomography for 3D description of the flow in the wake of the body.

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Helene Canot, Philippe Durand, Emmanuel Frenod, Bouchera.Hassoune-Rhabbour, Valerie.Nassiet (2022) « Regularized Artificial Neural Networks for Predicting the Strain of Traction-aged Polymer Systems Part I », in Proceedings of the World Congress on Engineering, London, U.K : Newswood Limited, p. pp 7-14. ISBN : 978-988-14049-3-0. https://www.iaeng.org/publication/WCE2022/WCE2022_pp7-14.pdf.

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Helene Canot, Philippe Durand, Emmanuel Frenod, Bouchera.Hassoune-Rhabbour, Valerie.Nassiet (2022) « Regularized Artificial Neural Networks for Predicting the Strain of Traction-aged Polymer Systems Part II », in Proceedings of the World Congress on Engineering, London, U.K : Newswood Limited, p. pp 15-20. ISBN : 978-988-14049-3-0. https://www.iaeng.org/publication/WCE2022/WCE2022_pp15-20.pdf.

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Terre Michel, Fety Luc et Horsin Thierry (2022) « Blind Channels Responses Estimation by Constrained Clustering », in 2022 International Conference on Software, Telecommunications and Computer Networks (SoftCOM), Split, Croatia : IEEE, p. 1-6. ISBN : 9789532901177. DOI : 10.23919/SoftCOM55329.2022.9911466. https://ieeexplore.ieee.org/document/9911466/.

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2021

Article de revue

Delassaux Francois, Mortazavi Iraj, Itam Emmanuelle, Herbert Vincent et Ribes Charles (2021) « Sensitivity analysis of hybrid methods for the flow around the ahmed body with application to passive control with rounded edges », Computers & Fluids, 214, p. 104757. DOI : 10.1016/j.compfluid.2020.104757. https://linkinghub.elsevier.com/retrieve/pii/S0045793020303273.

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Durand Philippe (2021) « Mathematical Tools to Understand the Field Theories of the Standard Model and Beyond », International Journal of Mathematics and Computers in Simulation, 15 (juillet 28), p. 54-61. DOI : 10.46300/9102.2021.15.10. https://www.naun.org/main/NAUN/mcs/2021/a202002-010(2021).pdf.

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Résumé : Since Isaac Newton the understanding of the physical world is more and more complex. The Euclidean space of three dimensions , independent of time is replaced in Enstein's vision by the Lorentzian space-time at first, then by four dimensions manifold to unify space and matter. String theorists add to space more dimensions to make their theory consistent. Complex topological invariants which characterize different kind of spaces are developed. Space is discretized at the quantum scale in the loop quantum gravity theory. A non-commutative and spectral geometry is defined from the theory of operator algebra by Alain Connes. In this review, our goal is to enumerate different approaches implementing algebra and topology in order to understand the standard model of particles and beyond

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Fiorini Camilla, Després Bruno et Puscas Maria Adela (2021) « Sensitivity equation method for the Navier‐Stokes equations applied to uncertainty propagation », International Journal for Numerical Methods in Fluids, 93 (1), p. 71-92. DOI : 10.1002/fld.4875. https://onlinelibrary.wiley.com/doi/10.1002/fld.4875.

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Jacques M. et Wilk O. (2021) « High-order Absorbing Boundary Condition, Domain Decomposition Method and Stratified Dispersive Wave Model », Wave Motion, 106, p. 102806. DOI : 10.1016/j.wavemoti.2021.102806. https://linkinghub.elsevier.com/retrieve/pii/S0165212521001049.

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Keck Jean-Baptiste, Cottet Georges-Henri, Meiburg Eckart, Mortazavi Iraj et Picard Christophe (2021) « Double-diffusive sedimentation at high Schmidt numbers: Semi-Lagrangian simulations », Physical Review Fluids, 6 (2) (février 8), p. L022301. DOI : 10.1103/PhysRevFluids.6.L022301. https://link.aps.org/doi/10.1103/PhysRevFluids.6.L022301.

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Mimeau Chloé, Marié Simon et Mortazavi Iraj (2021) « A comparison of semi-Lagrangian vortex method and lattice Boltzmann method for incompressible flows », Computers & Fluids, 224, p. 104946. DOI : 10.1016/j.compfluid.2021.104946. https://linkinghub.elsevier.com/retrieve/pii/S0045793021001134.

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Mimeau Chloé et Mortazavi Iraj (2021) « A Review of Vortex Methods and Their Applications: From Creation to Recent Advances », Fluids, 6 (2) (février 4), p. 68. DOI : 10.3390/fluids6020068. https://www.mdpi.com/2311-5521/6/2/68.

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Résumé : This review paper presents an overview of Vortex Methods for flow simulation and their different sub-approaches, from their creation to the present. Particle methods distinguish themselves by their intuitive and natural description of the fluid flow as well as their low numerical dissipation and their stability. Vortex methods belong to Lagrangian approaches and allow us to solve the incompressible Navier-Stokes equations in their velocity-vorticity formulation. In the last three decades, the wide range of research works performed on these methods allowed us to highlight their robustness and accuracy while providing efficient computational algorithms and a solid mathematical framework. On the other hand, many efforts have been devoted to overcoming their main intrinsic difficulties, mostly relying on the treatment of the boundary conditions and the distortion of particle distribution. The present review aims to describe the Vortex methods by following their chronological evolution and provides for each step of their development the mathematical framework, the strengths and limits as well as references to applications and numerical simulations. The paper ends with a presentation of some challenging and very recent works based on Vortex methods and successfully applied to problems such as hydrodynamics, turbulent wake dynamics, sediment or porous flows.

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Thierry Horsin et Mohamed Ali Jendoubi (2021) « On the convergence to equilibria of a sequence defined by an implicit scheme », Discrete and Continuous Dynamical Systems, serie S. DOI : 10.3934/dcdss.2020465. http://www.aimsciences.org/article/doi/10.3934/dcdss.2020465.

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Article de colloque

Ganci Gaetana, Bilotta Giuseppe, Calvari Sonia, Cappello Annalisa, Del Negro Ciro et Herault Alexis (2021) « Volcanic Hazard Monitoring Using Multi-Source Satellite Imagery », in 2021 IEEE International Geoscience and Remote Sensing Symposium IGARSS, Brussels, Belgium : IEEE, p. 1903-1906. ISBN : 9781665403696. DOI : 10.1109/IGARSS47720.2021.9554557. https://ieeexplore.ieee.org/document/9554557/.

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Helene Canot, Philippe Durand, Emmanuel Frenod, Dariush Ghorbanzadeh, and Valerie Nassiet (2021) « Neural Networks NARX for Durability Bonded Joint Prediction », in Proceedings of The International MultiConference of Engineers and Computer Scientists, Hong Kong : Newswood Limited, p. pp13-17. ISBN : 978-988-14049-1-6. https://www.iaeng.org/publication/IMECS2021/IMECS2021_pp13-17.pdf.

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Rapport

Bilotta Giuseppe, Calvari Sonia, Cappello Annalisa, Corradino Claudia, Del Negro Ciro, Ganci Gaetana et Hérault Alexis (2021) Lava flow hazard of the 2018 Etna eruption: What happened and what could happen, Other, pico. https://meetingorganizer.copernicus.org/EGU21/EGU21-4448.html.

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Résumé :
On 24 December 2018 a flank eruption started on Etna from an eruptive fissure opened on the eastern side of the New Southeast Crater (NCSE) at about 3,100 m asl, which in few minutes, propagated to the south-east, overcoming the edge of the western wall of the Valle del Bove (VdB), reaching an altitude of 2,400 m asl and a total length of about 2 km. The eruption, which lasted only three days, produced lava flows from different vents along the eruptive fissure that reached a distance of about 4.2 km and covered an area of about 1 km2. The satellite monitoring of the 2018 Etna eruption was performed using the HOTSAT system using mid and thermal infrared data acquired by the Spinning Enhanced Visible and InfraRed Imager (SEVIRI), which provided minimum and maximum estimates for the lava thermal flux, the effusion rate and the lava volume. The SEVIRI-derived effusion rate estimates were used as input of the MAGFLOW model to simulate the actual lava flow field, obtaining a very good fit. We also simulated different eruptive scenarios assuming the lava emission wouldn’t run out in only three days to forecast if, when and how the lava flow could reach the inhabited areas, causing possible significant damage.

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Zago Vito, Bilotta Giuseppe, Cappello Annalisa, Dalrymple Robert, Fortuna Luigi, Ganci Gaetana, Herault Alexis et Del Negro Ciro (2021) SPH model for the simulation of lava-buildings interactions, Other, pico. https://meetingorganizer.copernicus.org/EGU21/EGU21-14717.html.

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Résumé :
Numerical simulation is a fundamental aspect of modern volcanology, providing tools for the forecasting of lava flows behavior, so as to assist in the design of mitigation actions for volcanic risk. In addition to the prediction of the emplacement topology, numerical simulation can be useful to study the possible outcomes of the interaction between a lava flow and a building. This kind of information can help to estimate the vulnerability of buildings so as to produce more accurate risk evaluations. Smoothed Particle Hydrodynamics (SPH) is a particle-based numerical method, particularly suited for the simulation of fluids with a high level of complexity, that can intrinsically deal with all of the physical properties of lava. GPUSPH is a simulation engine based on the SPH method that has been developed in order to take into account the challenging aspects of lava simulations and has been successfully applied to the simulation of lava-related benchmark tests. Here we use the SPH method, coupled within the framework of GPUSPH with a rigid body mechanics solver provided by the Project Chrono engine, for the realistic study of lava-buildings interaction. The resulting coupled model is able to simulate masonry with a brick-level accurate description, providing insights on any damages happening to the structure. We will show the simulation of a lava flow interacting with an elementary masonry piece, where a total collapse of the structure is induced by the action of the lava.

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2020

Article de revue

Braun Mathias, Piller Olivier, Deuerlein Jochen, Mortazavi Iraj et Iollo Angelo (2020) « Uncertainty quantification of water age in water supply systems by use of spectral propagation », Journal of Hydroinformatics, 22 (1) (janvier 1), p. 111-120. DOI : 10.2166/hydro.2019.017. https://iwaponline.com/jh/article/22/1/111/67780/Uncertainty-quantification-of-water-age-in-water.

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Résumé : Abstract Water distribution networks are critical infrastructures that should ensure the reliable supply of high quality potable water to its users. Numerical models of these networks are generally governed by many parameters for which the exact value is not known. This may be due to a lack of precise knowledge like for consumer demand or due to a lack of accessibility as for the pipe roughness. For network managers, the effect of these uncertainties on the network state is important information that supports them in the decision-making process. This effect is generally evaluated by propagating the uncertainties using the mathematical model. In the past, perturbation, fuzzy and stochastic collocation methods have been used for uncertainty propagation. However, these methods are limited either in the accuracy of the results or the computational effort of the necessary calculations. This paper uses an alternative spectral approach that uses the polynomial chaos expansion and has the potential to give results of comparable accuracy to the Monte Carlo sampling through the definition of a stochastic model. This approach is applied to the hydraulic model of two real networks in order to evaluate the influence of uncertain demands on the water age.

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Braun Mathias, Piller Olivier, Iollo Angelo et Mortazavi Iraj (2020) « A Spectral Approach to Uncertainty Quantification in Water Distribution Networks », Journal of Water Resources Planning and Management, 146 (3), p. 04019080. DOI : 10.1061/(ASCE)WR.1943-5452.0001138. https://ascelibrary.org/doi/10.1061/%28ASCE%29WR.1943-5452.0001138.

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Del Negro Ciro, Cappello Annalisa, Bilotta Giuseppe, Ganci Gaetana, Hérault Alexis et Zago Vito (2020) « Living at the edge of an active volcano: Risk from lava flows on Mt. Etna », GSA Bulletin, 132 (7-8) (juillet 1), p. 1615-1625. DOI : 10.1130/B35290.1. https://pubs.geoscienceworld.org/gsa/gsabulletin/article/132/7-8/1615/575769/Living-at-the-edge-of-an-active-volcano-Risk-from.

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Résumé : Abstract Lava flows represent the greatest threat by far to exposed population and infrastructure on Mt. Etna, Italy. The increasing exposure of a larger population, which has almost tripled in the area around Mt. Etna during the past 150 years, has resulted from poor assessment of the volcanic hazard and inappropriate land use in vulnerable areas. Here we quantify the lava flow risk on the flanks of Mt. Etna volcano using a Geographic Information System (GIS)-based approach that integrates the hazard with the exposure of elements at stake. The hazard, which shows the long-term probability related to lava flow inundation, is obtained by combining three different kinds of information: the spatiotemporal probability of new flank eruptive vents opening in the future, the event probability associated with classes of expected eruptions, and the overlapping of lava flow paths simulated by the MAGFLOW model. Data including all exposed elements were gathered from institutional web portals and high-resolution satellite imagery and organized in four thematic layers: population, buildings, service networks, and land use. The total exposure is given by a weighted linear combination of the four thematic layers, where weights are calculated using the Analytic Hierarchy Process (AHP). The resulting risk map shows the likely damage caused by a lava flow eruption and allows rapid visualization of the areas subject to the greatest losses if a flank eruption were to occur on Mt. Etna. The highest risk is found in the southeastern flank due to the combination of high hazard and population density.

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Durand (2020) « Review of the Index Theorem: Applications in Mathematical Physic and Engineering Sciences », IAENG International Journal of Applied Mathematics, 50 (2), p. 320-329. http://www.iaeng.org/IJAM/issues_v50/issue_2/index.html.

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Durand Philippe (2020) « From QFT to 2-d Supersymetric TQT:Mirror symmetry between Math and Physic », WSEAS TRANSACTIONS ON MATHEMATICS, 19 (mars 9). DOI : 10.37394/23206.2020.19.4. http://www.wseas.org/multimedia/journals/mathematics/2020/a085106-068.pdf.

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Résumé : Theoretical physics is taking an increasing part in the universe of mathematics. After calculus, vector and tensorial analysis, topological theories make their entry into quantum field theories. More precisely, in this domain, topological theories are the most relevant. A fundamental theorem of the Atiyah has important repercussions in several branches of quantum physics in the geometric approach. We can cite the work of Alain Connes on non-commutative geometry, but also all the developments due to Donaldson, E. Witten around Gauge theories, superstring and Mirror Symmetry. We present here an historical survey of some topological field theories, especially Mirror Symmetry to understand the interpenetration between quantum physics and topology.

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Fiorini Camilla, Chalons Christophe et Duvigneau Régis (2020) « A modified sensitivity equation method for the Euler equations in presence of shocks », Numerical Methods for Partial Differential Equations, 36 (4), p. 839-867. DOI : 10.1002/num.22454. https://onlinelibrary.wiley.com/doi/10.1002/num.22454.

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Horsin Thierry et Jendoubi Mohamed Ali (2020) « Non-genericity of initial data with punctual $$\omega $$-limit set », Archiv der Mathematik, 114 (2), p. 185-193. DOI : 10.1007/s00013-019-01377-8. http://link.springer.com/10.1007/s00013-019-01377-8.

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Horsin Thierry et Jendoubi Mohamed Ali (2020) « An extension of a Lyapunov approach to the stabilization of second order coupled systems », ESAIM: Control, Optimisation and Calculus of Variations, 26, p. 19. DOI : 10.1051/cocv/2019075. https://www.esaim-cocv.org/10.1051/cocv/2019075.

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Résumé : This paper deals with the convergence to zero of the energy of the solutions of a second order linear coupled system. It revisits some previous results on the stabilization of such systems by exhibiting Lyapunov functions. The ones used are constructed according to some scalar cases situations. These simpler situations explicitely show that the assumptions made on the operators in the coupled systems seem, first, natural and, second, give insight on their forms.

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Saikali Elie, Bilotta Giuseppe, Hérault Alexis et Zago Vito (2020) « Accuracy Improvements for Single Precision Implementations of the SPH Method », International Journal of Computational Fluid Dynamics, 34 (10) (novembre 25), p. 774-787. DOI : 10.1080/10618562.2020.1836357. https://www.tandfonline.com/doi/full/10.1080/10618562.2020.1836357.

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Chapitre de livre

Delassaux F., Herbert V., Mortazavi I. et Ribes C. (2020) « Numerical Investigation of the Flow Around a Simplified Ground Vehicles Using Hybrid RANS/LES Method », in Progress in Hybrid RANS-LES Modelling, éd. par Yannick Hoarau, Shia-Hui Peng, Dieter Schwamborn, Alistair Revell, et Charles Mockett, Cham : Springer International Publishing, 143: p. 357-365. ISBN : 9783030276065 9783030276072. http://link.springer.com/10.1007/978-3-030-27607-2_29.

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Rapport

Cappello Annalisa, Bilotta Giuseppe, Corradino Claudia, Ganci Gaetana, Hérault Alexis, Zago Vito et Del Negro Ciro (2020) Lava flow risk assessment on Mount Etna through hazard and exposure modelling, Other, oral. https://meetingorganizer.copernicus.org/EGU2020/EGU2020-4408.html.

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Résumé :
Lava flows represent the greatest threat to exposed population and infrastructure on Mt Etna volcano (Italy). The increasing exposure of a larger population, which has almost tripled in the area around Mt Etna during the last 150 years, has resulted from poor assessment of the volcanic hazard, allowing inappropriate land use in vulnerable areas. We present a new methodology to quantify the lava flow risk on Etna’s flanks using a GIS-based approach that integrates the hazard with the exposure of elements at stake. The hazard, showing the long-term probability related to lava flow inundation, is obtained by combining three different kinds of information: the spatiotemporal probability of the future opening of new flank eruptive vents, the event probability associated with classes of expected eruptions, and the overlapping of lava flow paths simulated by the MAGFLOW model. Data including all exposed elements have been gathered from institutional web portals and high-resolution satellite imagery, and organized in four thematic layers: population, buildings, service networks, and land use. The total exposure is given by a weighted linear combination of the four thematic layers, where weights are calculated using the Analytic Hierarchy Process (AHP). The resulting risk map shows the likely damage caused by a lava flow eruption, allowing rapid visualization of the areas subject to the greatest losses if a flank eruption were to occur on Etna.

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2019

Article de revue

Bilotta Giuseppe, Cappello Annalisa, Hérault Alexis et Del Negro Ciro (2019) « Influence of topographic data uncertainties and model resolution on the numerical simulation of lava flows », Environmental Modelling & Software, 112, p. 1-15. DOI : 10.1016/j.envsoft.2018.11.001. https://linkinghub.elsevier.com/retrieve/pii/S1364815218304043.

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--- Exporter la sélection au format

Moyens de calcul associés

wilk — 2015-04-14T09:47:49Z

Les serveurs en fonctionnement [1] :

_____gpu :
- 48 coeurs (2x12x2) [6],
- 768 Go (12x64 Go DDR4 2666 Mhz),
- 6 Tesla V100S (32 Go),
- 2 Quadro P400 (2 Go) (plutôt pour les aspects graphiques),
- SSD PCI (6 To),
- en fonctionnement depuis septembre 2019.

_____r940 :
- 112 coeurs (4x28x2) [5],
- 768 Go (24x32 Go DDR4 2666 Mhz),
- en fonctionnement depuis septembre 2018.

_____r930 :
- 72 coeurs (4x18x2) [4],
- 384 Go (24x16 Go DDR4,1866 MHz),
- en fonctionnement depuis juillet 2017.

_____35 :
- carte mère 0HFG24,
- 24 coeurs (2x12x2) [3],
- 128 Go (DDR4,2133 MHz),
- en fonctionnement depuis janvier 2016.

_____36 :
- carte mère 0HFG24,
- 24 coeurs (2x12x2) [3],
- 128 Go (DDR4,2133 MHz),
- en fonctionnement depuis janvier 2016.

_____24 :
- carte mère X9DA7/E (voir figure),
- 20 coeurs (2x10x2) [2],
- 64 Go (DDR3,1600 MHz),
- 1 GeForce GTX 750 Ti à 2Go,
- en fonctionnement depuis janvier 2015.

_____16 :

Carte mère X9DA7/E
- carte mère X9DA7/E (voir figure),
- 20 coeurs (2x10x2) [2],
- 128 Go (DDR3,1866 MHz),
- 2 GeForce GTX 750 Ti à 2Go,
- en fonctionnement depuis janvier 2014.

[1] info : dmidecode -t 2, lscpu, dmidecode —type memory, nvidia-smi

[6] Xeon(R) Gold 5118 (2.3-3.2 GHz, 12C/24T, cache 16Mo, 105W)

[5] Xeon Platinum 8180 (2,5-3.8 GHz, 28C/56T, cache 38Mo, 10.4GT/s QPI, 205W)

[4] Xeon E7-8860 v4 (2,2-3.3 GHz, 18C/36T, cache 45Mo, 9,6GT/s QPI, 140W)

[3] Xeon E5-2650L v3 1.8GHz (2.5 GHz), 30M Cache (65W)

[2] Xeon(R) CPU E5-2660 v2 2.20GHz (3Ghz), 25M Cache (95W)