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2025

Journal Article


  • Bérot Océane-Sophie, Hassoune-Rhabbour Bouchra, Acheritobehere Hervé, Laforet Caroline, Canot Hélène, Durand Philippe and Nassiet Valérie (2025) “Study of the hygrothermal aging of a phenolic matrix and glass fiber composite”, Journal of Composite Materials (March 29), p. 00219983251331731. DOI : 10.1177/00219983251331731. https://journals.sagepub.com/doi/10.1177/00219983251331731.
    Abstract: 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 and Frénod Emmanuel (2025) “Bow echo alarm system using Topological Data Analysis”, Applied Mathematics for Modern Challenges (March 3), p. 0-0. DOI : 10.3934/ammc.2025002. https://www.aimsciences.org/en/article/doi/10.3934/ammc.2025002.
    Abstract: 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 and Frenod Emmanuel (2025) “Curved Geometries in Persistent Homology: From Euclidean to AdS Metrics in Bow Echo Dynamics”, International Journal of Topology, 2 (4) (November 4), p. 19. DOI : 10.3390/ijt2040019. https://www.mdpi.com/2813-9542/2/4/19.
    Abstract: 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 and 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.

2024

Journal Article

  • Oceane-Sophie Bérot, Hélène Canot, Philippe Durand, Bouchra Hassoune-Rhabbour, Herv ` e Acheritobehere,, and 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.


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


  • 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) (December 6), p. 1436-1459. DOI : 10.3934/eect.2024035. https://www.aimsciences.org//article/doi/10.3934/eect.2024035.


  • 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.

2023

Journal Article
Book Section


  • Fiorini Camilla, Boulvard Pierre-Marie, Li Long and 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, ed. Bertrand Chapron, Dan Crisan, Darryl Holm, Etienne Mémin, and 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.
    Abstract: 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, ed. Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, and 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.

2022

Journal Article


  • Bilotta Giuseppe, Zago Vito, Centorrino Veronica, Dalrymple Robert A., Hérault Alexis, Del Negro Ciro and 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.


  • Destuynder P., Hervella-Nieto L., López-Pérez P.M., Orellana J. and 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.


  • Edwige Stéphie, Gilotte Philippe and Mortazavi Iraj (2022) “Computational Analysis of Actuation Techniques Impact on the Flow Control around the Ahmed Body”, Fluids, 7 (2) (January 24), p. 52. DOI : 10.3390/fluids7020052. https://www.mdpi.com/2311-5521/7/2/52.
    Abstract: 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 and 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) (March 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.
    Abstract: 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) (December). https://www.iaeng.org/IJCS/issues_v49/issue_4/IJCS_49_4_26.pdf.


  • Horsin Thierry and 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.
    Abstract: <p style='text-indent:20px;'>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.</p>
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Conference Paper



  • Delassaux Francois, Mortazavi Iraj, Herbert Vincent and 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.
    Abstract: 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.


  • 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.



  • Terre Michel, Fety Luc and 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/.

2021

Journal Article


  • Delassaux Francois, Mortazavi Iraj, Itam Emmanuelle, Herbert Vincent and 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.


  • 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 (July 28), p. 54-61. DOI : 10.46300/9102.2021.15.10. https://www.naun.org/main/NAUN/mcs/2021/a202002-010(2021).pdf.
    Abstract: 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 and 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.


  • Jacques M. and 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.


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


  • Mimeau Chloé, Marié Simon and 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.


  • Mimeau Chloé and Mortazavi Iraj (2021) “A Review of Vortex Methods and Their Applications: From Creation to Recent Advances”, Fluids, 6 (2) (February 4), p. 68. DOI : 10.3390/fluids6020068. https://www.mdpi.com/2311-5521/6/2/68.
    Abstract: 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 and 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.
Conference Paper
Report

  • Bilotta Giuseppe, Calvari Sonia, Cappello Annalisa, Corradino Claudia, Del Negro Ciro, Ganci Gaetana and 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.
    Abstract: &lt;p&gt;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&amp;#8217;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.&amp;#160;&lt;/p&gt;
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  • Zago Vito, Bilotta Giuseppe, Cappello Annalisa, Dalrymple Robert, Fortuna Luigi, Ganci Gaetana, Herault Alexis and Del Negro Ciro (2021) SPH model for the simulation of lava-buildings interactions, Other, pico. https://meetingorganizer.copernicus.org/EGU21/EGU21-14717.html.
    Abstract: &lt;p&gt;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.&lt;/p&gt;
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2020

Journal Article


  • Braun Mathias, Piller Olivier, Deuerlein Jochen, Mortazavi Iraj and Iollo Angelo (2020) “Uncertainty quantification of water age in water supply systems by use of spectral propagation”, Journal of Hydroinformatics, 22 (1) (January 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.
    Abstract: 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 and 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.


  • Del Negro Ciro, Cappello Annalisa, Bilotta Giuseppe, Ganci Gaetana, Hérault Alexis and Zago Vito (2020) “Living at the edge of an active volcano: Risk from lava flows on Mt. Etna”, GSA Bulletin, 132 (7-8) (July 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.
    Abstract: 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.


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


  • Horsin Thierry and 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.


  • Horsin Thierry and 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.
    Abstract: 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 and Zago Vito (2020) “Accuracy Improvements for Single Precision Implementations of the SPH Method”, International Journal of Computational Fluid Dynamics, 34 (10) (November 25), p. 774-787. DOI : 10.1080/10618562.2020.1836357. https://www.tandfonline.com/doi/full/10.1080/10618562.2020.1836357.
Book Section


  • Delassaux F., Herbert V., Mortazavi I. and 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, ed. Yannick Hoarau, Shia-Hui Peng, Dieter Schwamborn, Alistair Revell, and 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.
Report

  • Cappello Annalisa, Bilotta Giuseppe, Corradino Claudia, Ganci Gaetana, Hérault Alexis, Zago Vito and 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.
    Abstract: &lt;p&gt;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&amp;#8217;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.&lt;/p&gt;
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2019

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