Modeling Group

@article{fortin_2076,

title = {A very high order discontinuous Galerkin method for the numerical solution of stiff DDEs},

author = {André Fortin and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/pii/S0096300322008359},

year  = {2023},

date = {2023-04-01},

journal = {Applied Mathematics And Computation},

volume = {443},

number = {1},

pages = {1-15},

abstract = {We present a high order discontinuous Galerkin (DG) method for the numerical solution of systems of delay differential equations (DDEs). The method is based on Legendre orthogonal polynomials of high degree k (typically k=10) in each subinterval and is a generalisation to DDEs of a similar method which proved to be very efficient for ordinary differential equations (ODEs). We show how the error can be estimated allowing to control the size of the time step. We also propose a particularly efficient quasi Newton method for the solution of the resulting non linear systems based on a very accurate approximation of the Jacobian matrix that is very easy to implement and with excellent convergence properties. The method is then applied to very stiff systems of DDEs.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{chami_1961,

title = {Rheological study of mixed cyclopentane + CO2 hydrate slurry in a dynamic loop for refrigeration systems},

author = {Nada Chami and Yasmine Salehy and Dennis Burgner and Pascal Clain and Didier Dalmazzone and Anthony Delahaye and Laurence Fournaison},

url = {https://www.sciencedirect.com/science/article/pii/S0360544222025476},

year  = {2023},

date = {2023-01-01},

journal = {Energy},

volume = {263},

pages = {125661},

abstract = {The use of CO2 hydrates as phase change materials is promising for secondary loop refrigeration, as these compounds present adjustable dissociation temperature that can be higher than 273.15 K and have high enthalpy of dissociation. In the present work, by using various promoters, cyclopentane (CP) in this study, the formation pressure of hydrates may be significantly lowered than CO2 hydrates. For their application as a secondary refrigerant, the rheological properties of mixed CP + CO2 hydrate slurry need to be controlled. The flow properties of CP and mixed CP + CO2 hydrate slurries were studied in a dynamic flow loop at different cyclopentane contents ranging from 3 wt% to 15 wt%, using a capillary viscometer based on Rabinowitch and Mooney equation. Rheological parameters (viscosity, flow behavior...) related to these two slurries were compared. The experimental results demonstrate that CP and mixed CP + CO2 hydrates slurries exhibit a shear thinning behavior and the viscosity values vary between 3 and 12 mPa.s-1 at [100-1000 s?1] for CP hydrates slurries and between 2 and 10 mPa s?1 at [100-1200 s?1] for CP + CO2 hydrates slurries. CP hydrate and CP + CO2 hydrate slurry viscosity is close to that of TBPB hydrate and lower than that of CO2 hydrate. Moreover, mixed CP + CO2 have shown a time-evolution of the rheological behavior.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{samah_2025,

title = {Experimental investigation on the wetting behavior of a superhydrophobic surface under controlled temperature and humidity},

author = {Walid Samah and Pascal Clain and François Rioual and Laurence Fournaison and Anthony Delahaye},

url = {https://www.sciencedirect.com/science/article/pii/S0927775722022063},

year  = {2023},

date = {2023-01-01},

volume = {656},

pages = {130451},

abstract = {Superhydrophobic surfaces (SHS) are of great interest in various industrial fields. However, the application of these surfaces in cold, humid and submerged environments (as in the case of ice slurry production) sometimes presents problems related to the loss of their superhydrophobic properties. This paper presents an experimental study in order to characterize the wetting behavior of a surface coated with a commercial superhydrophobic "Ultra Ever Dry" (UED) coating at different surface temperatures (from 22 °C to ? 13 °C) and relative humidity (13%, 20%, 30%, 40% and 50%). Three methods are developed to characterize the wetting behavior. The first method consists in depositing a water drop on the cooled superhydrophobic UED surface. The objective is to characterize the static wetting behavior (evolution of contact angles) during the cooling of the surface for different relative humidity. The second method consists in dropping a water drop on the cooled UED superhydrophobic surface with an impact velocity of 1 m s?1. This method allows the dynamic behavior of the wetting (impact and rebound of the drop) to be characterized at different temperatures. The third method, consists in studying the effect of the immersion of the SHS in a volume of water cooled until supercooling then freezing. The aim is to analyze the wetting behavior in immersion at low temperature. The results of the static wetting study show that the superhydrophobic coating loses its non-wetting properties at temperatures below 13 °C for a relative humidity between 13% and 50% due to condensation on the surface. The results of the dynamic wetting study show that the superhydrophobic coating has poor resistance to water drop impact at surface temperatures below 4 °C. The wetting transition from Cassie to Wenzel state in low temperature immersion is caused by ice formation. The wettability state influences the morphology of the ice produced after freezing.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{samah_2080,

title = {Review on ice crystallization and adhesion to optimize ice slurry generators without moving components},

author = {Walid Samah and Pascal Clain and François Rioual and Laurence Fournaison and Anthony Delahaye},

url = {https://www-sciencedirect-com.devinci.idm.oclc.org/science/article/pii/S1359431123000030},

year  = {2023},

date = {2023-01-01},

journal = {Applied Thermal Engineering},

volume = {223},

abstract = {The current climate crisis requires a radical reduction in energy consumption and greenhouse gas emissions. For the refrigeration industry, secondary refrigeration is one of the most accessible solutions to reduce the use of refrigerants with high greenhouse gas content. In addition, the use of low environmental impact two-phase secondary fluids, namely PCM (phase change material) slurries, such as ice slurries and gas hydrate slurries, can limit the electrical energy consumption involved in the process. Currently, the industry's most commonly used ice slurry production systems are scraped surface and supercooling generators. These have some disadvantages, such as maintenance costs and energy consumption. An ice slurry generator is considered efficient if it meets three criteria: continuous production, low energy consumption and reliable operation. Optimizing ice slurry production with generators without moving components (scraped surface) could be a solution to meet these criteria. The objective of this review is to present a critical analysis of ice slurry production optimization methods proposed in the literature. These methods aim either to prevent ice nucleation to produce supercooled water with a high supercooling degree, or to reduce the adhesion of the ice to the generator walls to facilitate its removal by flow or by external forces (gravity and buoyancy).},

keywords = {},

pubstate = {online},

tppubtype = {article}

}

@article{vanaei_2061,

title = {Numerical-Experimental Analysis toward the Strain Rate Sensitivity of 3D-Printed Nylon Reinforced by Short Carbon Fiber},

author = {Hamidreza Vanaei and Anouar El Magri and Mohammadali Rastak and Saeedeh Vanaei and Sébastien Vaudreuil and Abbas Tcharkhtchi},

url = {https://doi.org/10.3390/ma15248722},

year  = {2022},

date = {2022-12-01},

journal = {Materials},

volume = {15},

number = {24},

pages = {8722},

abstract = {Despite the application of the Additive Manufacturing process and the ability of parts' construction directly from a 3D model, particular attention should be taken into account to improve their mechanical characteristics. In this paper, we present the effect of individual process variables and the strain-rate sensitivity of Onyx (Nylon mixed with chopped carbon fiber) manufactured by Fused Filament Fabrication (FFF), using both experimental and simulation manners. The main objective of this paper is to present the effect of the selected printing parameters (print speed and platform temperature) and the sensitivity of the 3D-printed specimen to the strain rate during tensile behavior. A strong variation of tensile behavior for each set of conditions has been observed during the quasi-static tensile test. The variation of 40 °C in the platform temperature results in a 10% and 11% increase in Young's modulus and tensile strength, and 8% decrease in the failure strain, respectively. The variation of 20 mm·s?1 in print speed results in a 14% increase in the tensile strength and 11% decrease in the failure strain. The individual effect of process variables is inevitable and affects the mechanical behavior of the 3D-printed composite, as observed from the SEM micrographs (ductile to brittle fracture). The best condition according to their tensile behavior was chosen to investigate the strain rate sensitivity of the printed specimens both experimentally and using Finite Element (FE) simulations. As observed, the strain rate clearly affects the failure mechanism and the predicted behavior using the FE simulation. Increase in the elongation speed from 1 mm·min?1 to 100 mm·min?1, results in a considerable increase in Young's modulus. SEM micrographs demonstrated that although the mechanical behavior of the material varied by increasing the strain rate, the failure mechanism altered from ductile to brittle failure.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{vaudreuil_2062,

title = {Effects of Power and Laser Speed on the Mechanical Properties of AlSi7Mg0.6 Manufactured by Laser Powder Bed Fusion},

author = {Sébastien Vaudreuil and Salah Eddine Bencaid and Hamidreza Vanaei and Anouar El Magri},

url = {https://doi.org/10.3390/ma15238640},

year  = {2022},

date = {2022-12-01},

journal = {Materials},

volume = {15},

number = {23},

pages = {8640},

abstract = {The AlSi7Mg0.6 alloy, with its good tolerance against strain, is used in laser powder bed fusion (LPBF) to produce parts with complex geometries for aerospace engineering. Production of parts with good mechanical strength requires, however, the optimization of laser parameters. This study thus evaluated the influence of scanning speed, laser power, and strategy on several mechanical properties (tensile/resilience/hardness) to identify an optimal processing region. Results have shown the profound influence of laser power and scanning speed on mechanical properties, with a limited influence from the laser strategy. Tensile strength values ranging from 122 to 394 MPa were obtained, while Young's Modulus varied from 17 to 29 GPa, and the elongation at break ranged from 2.1 to 9.8%. Surface plots of each property against laser power and speed revealed a region of higher mechanical properties. This region is found when using 50 µm thick layers for energy densities between 25 and 35 J/mm3. Operating at higher values of energy density yielded sub-optimal properties, while a lower energy density resulted in poor performances. Results have shown that any optimization strategy must not only account for the volumic energy density value, but also for laser power itself when thick layers are used for fabrication. This was shown through parts exhibiting reduced mechanical performances that were produced within the optimal energy density range, but at low laser power. By combining mid-speed and power within the optimal region, parts with good microstructure and limited defects such as balling, keyhole pores, and hot cracking will be produced. Heat-treating AlSi7Mg0.6 parts to T6 temper negatively affected mechanical performances. Adapted tempering conditions are thus required if improvements are sought through tempering.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{ouassil_2046,

title = {Investigating the effect of printing conditions and annealing on the porosity and tensile behavior of 3D-printed polyetherimide material in Z-direction},

author = {Salah-Eddine Ouassil Ouassil and Anouar El Magri and Hamidreza Vanaei and Sébastien Vaudreuil},

url = {https://doi.org/10.1002/app.53353},

year  = {2022},

date = {2022-11-01},

journal = {Journal Of Applied Polymer Science},

volume = {Not assigned yet},

number = {e53353},

pages = {53353},

abstract = {Fused filament fabrication process presents drawbacks in mechanical properties observed when printing in the build direction (Z-direction). Such anisotropic properties will affect the part's performances and have to be minimized during fabrication. This study aims to evaluate the effects of nozzle temperature, printing speed and specimen state (annealed or as-printed) on porosity percentage and tensile properties for 3D printed polyetherimide (PEI) (ULTEM 1010) parts in Z-direction. The results demonstrated that print speed is the most influential process parameter that should be adjusted in consideration with the other printing parameters. The specimens' state did not reveal a noticeable influence, as the amorphous nature of PEI is considered less receptive to annealing. The optimization method to achieve the best results yielded values of 360 °C and 30 mm/s as printing conditions, followed by heat treatment. This was confirmed by porosity measurements, tensile testing, and scanning electron microscopy observations. The best performances of PEI material were 3425.5 MPa, 102 MPa, and 4.30% for Young's modulus, tensile strength, and elongation at break, respectively.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{benmesbah_1960,

title = {Calorimetric study of carbon dioxide (CO2) hydrate formation and dissociation processes in porous media},

author = {Fatima Benmesbah and Pascal Clain and Olivia Fandino and Véronique Osswald and Laurence Fournaison and Christophe Dicharry and Anthony Delahaye},

url = {https://www.sciencedirect.com/science/article/pii/S0009250922006923},

year  = {2022},

date = {2022-10-01},

journal = {Chemical Engineering Science},

volume = {264},

pages = {118108},

abstract = {Understanding the formation and dissociation mechanisms of gas hydrate in porous media is important for the development of new energy-efficient and environmentally friendly technologies related to cold storage as they provide significant latent heat and energy density at suitable phase change temperature. The challenge is to understand the interactions between gas hydrates and the chosen storage media in order to assess the operating conditions likely to optimize time and energy consumption in cold production and storage systems. In this work, CO2 hydrates formation and dissociation are investigated in two morphologically different porous materials: sand and silica gels. A calorimetric approach is applied to study both the CO2 hydrate formation kinetics, particularly the induction time, and the amount of hydrate formed for each of the two porous materials. The experiments are performed using a differential thermal analysis device with two identical measuring cells. The present work is focused on assessing the effect of key factors like water saturation, particle size and the morphology of porous media on CO2 hydrate formation and dissociation processes. Overall, the results do not show a statistically significant correlation between these factors and the induction time. Interestingly, the results obtained with dual porous silica gel showed a higher amount of hydrate formed compared to those with sand for similar initial pressure, temperature and water content conditions. This result may be due to the fact that silica gels provide higher surface area due to their smaller particle size (20-45 µm vs 80-450 µm for sand), and the presence of internal pore volume in silica gel particles.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{vanaei_1962,

title = {Roadmap: Numerical-Experimental Investigation and Optimization of 3D-Printed Parts Using Response Surface Methodology},

author = {Hamidreza Vanaei and Sofiane Khelladi and Abbas Tcharkhtchi},

url = {https://www.mdpi.com/1996-1944/15/20/7193},

year  = {2022},

date = {2022-10-01},

journal = {Materials},

volume = {15},

number = {20},

pages = {7193},

abstract = {Several process variables can be taken into account to optimize the fused filament fabrication (FFF) process, a promising additive manufacturing technique. To take into account the most important variables, a numerical-experimental roadmap toward the optimization of the FFF process, by taking into account some physico-chemical and mechanical characteristics, has been proposed to implement the findings through the thermal behavior of materials. A response surface methodology (RSM) was used to consider the effect of liquefier temperature, platform temperature, and print speed. RSM gave a confidence domain with a high degree of crystallinity, Young's modulus, maximum tensile stress, and elongation at break. Applying the corresponding data from the extracted zone of optimization to the previously developed code showed that the interaction of parameters plays a vital role in the rheological characteristics, such as temperature profile of filaments during deposition. Favorable adhesion could be achieved through the deposited layers in the FFF process. The obtained findings nurture motivations for working on the challenges and bring us one step closer to the optimization objectives in the FFF process to solve the industrial challenges.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{el_magri_1892,

title = {Effects of Laser Power and Hatch Orientation on Final Properties of PA12 Parts Produced by Selective Laser Sintering},

author = {Anouar El Magri and Salah Eddine Bencaid and Hamidreza Vanaei and Sébastien Vaudreuil},

url = {https://www.mdpi.com/2073-4360/14/17/3674},

year  = {2022},

date = {2022-09-01},

journal = {Polymers},

volume = {14},

number = {17},

pages = {3674},

abstract = {Poly(dodecano-12-lactam) (commercially known as polyamide ?PA12?) is one of the most resourceful materials used in the selective laser sintering (SLS) process due to its chemical and physical properties. The present work examined the influence of two SLS parameters, namely, laser power and hatch orientation, on the tensile, structural, thermal, and morphological properties of the fabricated PA12 parts. The main objective was to evaluate the suitable laser power and hatching orientation with respect to obtaining better final properties. PA12 powders and SLS-printed parts were assessed through their particle size distributions, X-ray diffraction (XRD), Fourier Transform Infrared spectroscopy (FTIR), differential scanning calorimetry (DSC), a scanning electron microscope (SEM), and their tensile properties. The results showed that the significant impact of the laser power while hatching is almost unnoticeable when using a high laser power. A more significant condition of the mechanical properties is the uniformity of the powder bed temperature. Optimum factor levels were achieved at 95% laser power and parallel/perpendicular hatching. Parts produced with the optimized SLS parameters were then subjected to an annealing treatment to induce a relaxation of the residual stress and to enhance the crystallinity. The results showed that annealing the SLS parts at 170 °C for 6 h significantly improved the thermal, structural, and tensile properties of 3D-printed PA12 parts},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{boudin_1894,

title = {A kinetic model of polyatomic gas with resonant collisions},

author = {Laurent Boudin and Alex Rossi and Francesco Salvarani},

url = {https://doi.org/10.1007/s11587-022-00733-1},

year  = {2022},

date = {2022-09-01},

journal = {Ricerche Di Matematica},

keywords = {},

pubstate = {online},

tppubtype = {article}

}

@article{el_magri_1958,

title = {Effects of Laser Power and Hatch Orientation on Final Properties of PA12 Parts Produced by Selective Laser Sintering},

author = {Anouar El Magri and Hamidreza Vanaei and Salah Eddine Bencaid and Sébastien Vaudreuil},

url = {https://doi.org/10.3390/polym14173674},

year  = {2022},

date = {2022-09-01},

journal = {Polymers},

volume = {14},

number = {17},

pages = {3674},

abstract = {Poly(dodecano-12-lactam) (commercially known as polyamide ?PA12?) is one of the most resourceful materials used in the selective laser sintering (SLS) process due to its chemical and physical properties. The present work examined the influence of two SLS parameters, namely, laser power and hatch orientation, on the tensile, structural, thermal, and morphological properties of the fabricated PA12 parts. The main objective was to evaluate the suitable laser power and hatching orientation with respect to obtaining better final properties. PA12 powders and SLS-printed parts were assessed through their particle size distributions, X-ray diffraction (XRD), Fourier Transform Infrared spectroscopy (FTIR), differential scanning calorimetry (DSC), a scanning electron microscope (SEM), and their tensile properties. The results showed that the significant impact of the laser power while hatching is almost unnoticeable when using a high laser power. A more significant condition of the mechanical properties is the uniformity of the powder bed temperature. Optimum factor levels were achieved at 95% laser power and parallel/perpendicular hatching. Parts produced with the optimized SLS parameters were then subjected to an annealing treatment to induce a relaxation of the residual stress and to enhance the crystallinity. The results showed that annealing the SLS parts at 170 °C for 6 h significantly improved the thermal, structural, and tensile properties of 3D-printed PA12 parts.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{borsoni_1875,

title = {Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions},

author = {Thomas Borsoni and Laurent Boudin and Francesco Salvarani},

url = {https://www.sciencedirect.com/science/article/pii/S0022247X22005935?via%3Dihub},

year  = {2022},

date = {2022-08-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {517},

number = {1},

pages = {126579},

abstract = {In this paper, we investigate a compactness property of the linearized Boltzmann operator in the context of a polyatomic gas whose molecules undergo resonant collisions. The peculiar structure of resonant collision rules allows to tensorize the problem into a velocity-related one, neighbouring the monatomic case, and an internal energy-related one. Our analysis is based on a specific treatment of the internal energy contributions. We also propose a geometric variant of Grad's proof of the same compactness property in the monatomic case.},

keywords = {},

pubstate = {accepted},

tppubtype = {article}

}

@article{salhi_1885,

title = {Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media},

author = {Loubna Salhi and Mohammed Seaid and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0898122122003443},

year  = {2022},

date = {2022-08-01},

journal = {Computers & Mathematics With Applications},

volume = {124},

pages = {129-148},

abstract = {We study a class of steady nonlinear convection-diffusion-reaction problems in porous media. The governing equations consist of coupling the Darcy equations for the pressure and velocity fields to two equations for the heat and mass transfer. The viscosity and diffusion coefficients are assumed to be nonlinear depending on the temperature and concentration of the medium. Well-posedness of the coupled problem is analyzed and existence along with uniqueness of the weak solution is investigatedbased on a fixed-point method. An iterative scheme for solving the associated fixed-point problem is proposed and its convergence is studied. Numerical experiments are presented for two examples of coupled convection-diffusion-reaction problems. Applications to radiative heat transfer and propagation of thermal fronts in porous media are also included in this study. The obtained results show good numerical convergence and validate the established theoretical estimates.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{el-amrani_1887,

title = {An iterative scheme for solving acoupled Darcy-convection-diffusion model},

author = {Mofdi El-Amrani and Loubna Salhi and Mohammed Seaid and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/pii/S0022247X22006175},

year  = {2022},

date = {2022-08-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {517},

number = {2},

pages = {1-24},

abstract = {We present an iterative scheme for the numerical analysis of a class of coupled Darcy-convection-diffusion problems modelling flow and heat transfer in porous media. The governing equations consist of the Darcy equations for the flow coupled to a convection-diffusion equation for heat transfer with nonlinear viscosity and diffusion coefficient depending on the temperature. Existence and uniqueness of the weak solution for the considered problem are first analyzed using a fixed-point method and then convergence study of two iterative schemes for the fixed-point algorithm is presented. Two numerical examples are selected to validate the theoretical estimates and to demonstrate the performance of the proposed algorithm. The obtained results support our theoretical expectations for a good numerical convergence with the developed estimates.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{amirat_1963,

title = {Homogenization of MHD flows in porous media},

author = {Youcef Amirat and Kamel Hamdache and Vladimir V. Shelukhin},

url = {https://doi.org/10.1016/j.jde.2022.08.014},

year  = {2022},

date = {2022-08-01},

journal = {Journal Of Differential Equations},

volume = {339},

number = {339},

pages = {90-133},

abstract = {The paper is concerned with the homogenization of a nonlinear differential system describing the flow of an electrically conducting, incompressible and viscous Newtonian fluid through a periodic porous medium, in the presence of a magnetic field. We introduce a variational formulation of the differential system equipped with boundary conditions. We show the existence of a solution of the variational problem, and derive uniform estimates of the solutions depending on the characteristic parameters of the flow. Using the two-scale convergence method, we rigorously derive a two-scale equation for the two-scale current density, and a two-pressure Stokes system. We derive, in the case of constant magnetic permeability, an explicit relation expressing the macroscopic velocity as a function of the macroscopic Lorentz force, the pressure gradient, the external body force, and the macroscopic current density, via two permeability filtration ten- sors. When the magnetic field is absent, this relation reduces to the Darcy law.

© 2022 Elsevier Inc. All rights reserved.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{montiel_1922,

title = {Effect of architecture disorder on the elastic response of two-dimensional lattice materials},

author = {Antoine Montiel and Thuy Nguyen and Cindy Rountree and Valérie Geertsen and Patrick Guenoun and Daniel Bonamy},

url = {https://journals.aps.org/pre/abstract/10.1103/PhysRevE.106.015004?ft=1},

year  = {2022},

date = {2022-07-01},

journal = {Physical Review E},

volume = {106},

number = {1},

pages = {015004},

abstract = {We examine how disordering joint position influences the linear elastic behavior of lattice materials via numerical simulations in two-dimensional beam networks. Three distinct initial crystalline geometries are selected as representative of mechanically isotropic materials with low connectivity, mechanically isotropic materials with high connectivity, and mechanically anisotropic materials with intermediate connectivity. Introducing disorder generates spatial fluctuations in the elasticity tensor at the local (joint) scale. Proper coarse-graining reveals a well-defined continuum-level scale elasticity tensor. Increasing disorder aids in making initially anisotropic materials more isotropic. The disorder impact on the material stiffness depends on the lattice connectivity: Increasing the disorder softens lattices with high connectivity and stiffens those with low connectivity, without modifying the scaling between elastic modulus and density (linear scaling for high connectivity and cubic scaling for low connectivity). Introducing disorder in lattices with intermediate fixed connectivity reveals both scaling: the linear scaling occurs for low density, the cubic one at high density, and the crossover density increases with disorder. Contrary to classical formulations, this work demonstrates that connectivity is not the sole parameter governing elastic modulus scaling. It offers a promising route to access novel mechanical properties in lattice materials via disordering the architectures.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{levy_1924,

title = {DevOps Model Appproach for Monitoring Smart Energy Systems},

author = {Loup-Noé Levy and Jérémie Bosom and Guillaume Guérard and Sofiane Ben Amor and Marc Bui and Hai Tran},

url = {https://www.mdpi.com/1996-1073/15/15/5516},

year  = {2022},

date = {2022-07-01},

journal = {Energies},

volume = {15},

number = {15},

pages = {5516},

abstract = {Energy systems are often socio-technical complex systems that are facing new challenges regarding technological and environmental changes. Because of their complex nature, they cannot be approached solely through analytical modeling, hence the inefficiency of most classical modeling approaches. In this article, a Hybrid Approach based on both systemic and analytical modeling is presented and applied to a case study. From this novel approach, a model?the Multi-Institution Building Energy System?is presented. It allowed us to highlight and detail the need for greater governance of energy systems. The socio-technical solutions identified to answer the issues of governance (Accuracy, Reliability and Fairness) were DevOps methodology and the use of Distributed Microservices Architecture. Based on this framework, the design of a Decision Support System assuring and exploiting state-of-the-art scalable tools for data management and machine learning factories is described in this article. Moreover, we wish to set up the conceptual basis necessary for the design of a generic theoretical framework of optimization applicable to complex socio-technical systems in the context of the management of a shared resource.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{ben_abdallah_1721,

title = {Modeling of viscoelastic behavior of a shape memory polymer blend},

author = {Abir Ben Abdallah and Achraf Kallel and Abbas Tcharkhtchi and Tarek Hassine and Fehmi Gamaoun},

url = {https://onlinelibrary.wiley.com/doi/10.1002/app.51859},

year  = {2022},

date = {2022-05-01},

journal = {Journal Of Applied Polymer Science},

volume = {139},

number = {13},

pages = {51859},

abstract = {Shape memory effect (SME) of polymers is a property that concerns both,

macroscopic and microscopic changes. The variation of internal polymer

properties such, as molecular weight (Mw), rigidity, and viscoelasticity could

alter its SME. In this study, a bi-parabolic model with six parameters is used to

describe the viscoelastic behavior of a shape memory polymer (SMP) blend

(40% poly(caprolactone), PCL/60% Styrene-Butadiene-Styrene) with different

PCL Mw. These parameters are determined using the Cole-Cole method.

Modeling curves (E00 = f (E0)) will be then compared to experimental data from

dynamical mechanical analysis (DMA) tests. It is shown that the bi-parabolic

model predicts well the behavior of the SMP mixture for different Mw of PCL.

Afterwards, the evolution of the model parameters with the Mw of PCL is

investigated. It is revealed that, when Mw of PCL drops, the relaxation modulus

E0 increases. This result proves that the rigidity of the SMP blend rises with

Mw declines.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{taleb_1836,

title = {A Flexible Deep Learning Method for Energy Forecasting},

author = {Ihab Taleb and Guillaume Guérard and Nga Nguyen and Frédéric Fauberteau},

url = {https://www.mdpi.com/1996-1073/15/11/3926},

year  = {2022},

date = {2022-05-01},

journal = {Energies},

volume = {15},

number = {11},

pages = {3926},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1803,

title = {Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method},

author = {Driss Yakoubi and Christine Bernardi and Sarra Maarouf},

url = {https://www.sciencedirect.com/science/article/pii/S0045782522001530},

year  = {2022},

date = {2022-03-01},

journal = {Computer Methods In Applied Mechanics And Engineering},

volume = {394},

number = {XXXX},

pages = {Paper No. 114843},

abstract = {In this paper, we present and analyze a finite element level set method based on the method of characteristics for two phase

flow. Surface tension effects are taken into account by the CSF approach. We first write the variational formulation of the problem and investigate its well-posedness. Next, for the discretization, a first order method of characteristics approach for the

evolution of the level set function and for the material derivative of the velocity is used. The velocity and pressure unknowns

are discretized by P2? P1 Taylor-Hood finite elements. Then, in each time step, the interface transport is decoupled from the

Navier-Stokes equations. Well-posedness results for subproblems in this decoupled discrete problem are derived. Furthermore,

under high regularity assumptions, we state error estimates for our scheme. Ultimately, three computational examples illustrate

the performance of the proposed method.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{maarouf_1803,

title = {Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method},

author = {Sarra Maarouf and Christine Bernardi and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/pii/S0045782522001530},

year  = {2022},

date = {2022-03-01},

journal = {Computer Methods In Applied Mechanics And Engineering},

volume = {394},

pages = {114843},

abstract = {In this paper, we present and analyze a finite element level set method based on the method of characteristics for two phase

flow. Surface tension effects are taken into account by the CSF approach. We first write the variational formulation of the problem and investigate its well-posedness. Next, for the discretization, a first order method of characteristics approach for the

evolution of the level set function and for the material derivative of the velocity is used. The velocity and pressure unknowns

are discretized by P2? P1 Taylor-Hood finite elements. Then, in each time step, the interface transport is decoupled from the

Navier-Stokes equations. Well-posedness results for subproblems in this decoupled discrete problem are derived. Furthermore,

under high regularity assumptions, we state error estimates for our scheme. Ultimately, three computational examples illustrate

the performance of the proposed method.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1802,

title = {A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model},

author = {Driss Yakoubi and Jean Deteix and Gerard Lionel Ndetchoua Kouamoa},

url = {https://www.sciencedirect.com/science/article/pii/S0045782522001104},

year  = {2022},

date = {2022-02-01},

journal = {Computer Methods In Applied Mechanics And Engineering},

volume = {393},

number = {XXXX},

pages = {Paper No. 114759, 25},

abstract = {In this work, we present an original time-discrete formulation of the coupled equations relating the velocity and pressure

of an unsteady flow of two immiscible fluids and the Allen-Cahn equation describing the interface between both of them. We

first prove this time-discrete formulation (based on the concept of coupled projection scheme (Deteix et al., 2014)) to be well

posed and energy stable. We then propose a new family of iterative schemes for the actual approximation of solutions. We

complete this work with numerical tests illustrating the order of accuracy and applying the new scheme on the well known

rising bubble benchmark.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{deteix_1802,

title = {A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model},

author = {Jean Deteix and Gerard Lionel Ndetchoua Kouamoa and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/pii/S0045782522001104},

year  = {2022},

date = {2022-02-01},

journal = {Computer Methods In Applied Mechanics And Engineering},

volume = {393},

pages = {114759},

abstract = {In this work, we present an original time-discrete formulation of the coupled equations relating the velocity and pressure

of an unsteady flow of two immiscible fluids and the Allen-Cahn equation describing the interface between both of them. We

first prove this time-discrete formulation (based on the concept of coupled projection scheme (Deteix et al., 2014)) to be well

posed and energy stable. We then propose a new family of iterative schemes for the actual approximation of solutions. We

complete this work with numerical tests illustrating the order of accuracy and applying the new scheme on the well known

rising bubble benchmark.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1795,

title = {A projection scheme for phase change problems with convection},

author = {Driss Yakoubi},

url = {https://www-sciencedirect-com.acces.bibl.ulaval.ca/science/article/pii/S0898122122000013?via%3Dihub},

year  = {2022},

date = {2022-01-01},

journal = {Computers & Mathematics With Applications},

volume = {108},

number = {1},

pages = {109-122},

abstract = {Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier-Stokes and heat energy equations. In this paper, we develop a new scheme for phase change problems based on a projection method. The proposed method reduces the size of the system by splitting the temperature, the velocity, and the pressure fields while preserving the accuracy of the simulations. A single-domain approach using a variant of the enthalpy-porosity formulation is employed. Incompressible Navier-Stokes problem with Boussinesq approximation for thermal effects in solid and liquid regions is considered. We regularize the discontinuous variables such as latent heat and material properties by a continuous and differentiable hyperbolic tangent function. The robustness and effectiveness of the proposed scheme are illustrated by comparing the numerical results with numerical and experimental benchmark},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{el_haddad_1795,

title = {A projection scheme for phase change problems with convection},

author = {Mireille El Haddad and Youssef Belhamadia and Jean Deteix and Driss Yakoubi},

url = {https://www-sciencedirect-com.acces.bibl.ulaval.ca/science/article/pii/S0898122122000013?via%3Dihub},

year  = {2022},

date = {2022-01-01},

journal = {Computers & Mathematics With Applications},

volume = {108},

number = {1},

pages = {109-122},

abstract = {Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier-Stokes and heat energy equations. In this paper, we develop a new scheme for phase change problems based on a projection method. The proposed method reduces the size of the system by splitting the temperature, the velocity, and the pressure fields while preserving the accuracy of the simulations. A single-domain approach using a variant of the enthalpy-porosity formulation is employed. Incompressible Navier-Stokes problem with Boussinesq approximation for thermal effects in solid and liquid regions is considered. We regularize the discontinuous variables such as latent heat and material properties by a continuous and differentiable hyperbolic tangent function. The robustness and effectiveness of the proposed scheme are illustrated by comparing the numerical results with numerical and experimental benchmark},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{boudin_1819,

title = {Exponential Convergence Towards Consensus for Non-Symmetric Linear First-Order Systems in Finite and Infinite Dimensions},

author = {Laurent Boudin and Francesco Salvarani and Emmanuel Trélat},

url = {https://epubs.siam.org/doi/abs/10.1137/21M1416102},

year  = {2022},

date = {2022-01-01},

journal = {Siam Journal On Mathematical Analysis},

volume = {54},

number = {3},

pages = {2727-2752},

abstract = {We consider finite and infinite-dimensional first-order consensus systems with time- constant interaction coefficients. For symmetric coefficients, convergence to consensus is classically established by proving, for instance, that the usual variance is an exponentially decreasing Lyapunov function. We investigate here the convergence to consensus in the non-symmetric case: we identify a positive weight which allows us to define a weighted mean corresponding to the consensus and obtain exponential convergence towards consensus. Moreover, we compute the sharp exponential decay rate.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{gurcan_1825,

title = {Phase and amplitude evolution in the network of triadic interactions of the Hasegawa-Wakatani system},

author = {Özgür Gürcan and Johan Anderson and Sara Moradi and Alessandro Biancalani and Pierre Morel},

url = {https://aip.scitation.org/doi/10.1063/5.0089073},

year  = {2022},

date = {2022-01-01},

journal = {Physics Of Plasmas},

volume = {29},

number = {5},

pages = {052306},

abstract = {The Hasegawa-Wakatani system, commonly used as a toy model of dissipative drift waves in fusion devices, is revisited with considerations

of phase and amplitude dynamics of its triadic interactions. It is observed that a single resonant triad can saturate via three way phase

locking, where the phase differences between dominant modes converge to constant values as individual phases increase in time. This allows

the system to have approximately constant amplitude solutions. Non-resonant triads show similar behavior only when one of its legs is a

zonal wave number. However, when an additional triad, which is a reflection of the original one with respect to the y axis is included, the

behavior of the resulting triad pair is shown to be more complex. In particular, it is found that triads involving small radial wave numbers

(large scale zonal flows) end up transferring their energy to the subdominant mode which keeps growing exponentially, while those involving

larger radial wave numbers (small scale zonal flows) tend to find steady chaotic or limit cycle states (or decay to zero). In order to study the

dynamics in a connected network of triads, a network formulation is considered, including a pump mode, and a number of zonal and non-

zonal subdominant modes as a dynamical system. It was observed that the zonal modes become clearly dominant only when a large number

of triads are connected. When the zonal flow becomes dominant as a ?collective mean field,? individual interactions between modes become

less important, which is consistent with the inhomogeneous wave-kinetic picture. Finally, the results of direct numerical simulation are dis-

cussed for the same parameters, and various forms of the order parameter are computed. It is observed that nonlinear phase dynamics results

in a flattening of the large scale phase velocity as a function of scale in direct numerical simulations.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}