Modeling Group

@article{amirat_1,

title = {Steady state solutions of ferrofluid flow model},

author = {Youcef Amirat and Kamel Hamdache},

url = {http://aimsciences.org//article/id/a2e59aa5-3139-4991-935d-1fce2bbae304},

year  = {2016},

date = {2016-11-01},

journal = {Communications On Pure And Applied Analysis},

volume = {15},

number = {6},

pages = {2329-2355},

abstract = {We study two models of differential equations for the stationary flow of an incompressible viscous magnetic fluid subjected to an external magnetic field. The first model, called Rosensweig's model, consists of the incompressible Navier-Stokes equations, the angular momentum equation, the magnetization equation of Bloch-Torrey type, and the magnetostatic equations. The second one, called Shliomis model, is obtained by assuming that the angular momentum is given in terms of the magnetic field, the magnetization field and the vorticity. It consists of the incompressible Navier-Stokes equation, the magnetization equation and the magnetostatic equations. We prove, for each of the differential systems posed in a bounded domain of R3 and equipped with boundary conditions, existence of weak solutions by using regularization techniques, linearization and the Schauder fixed point theorem.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{tognevi_77,

title = {A multi-scale modeling method for heterogeneous structures without scale separation using a filter-based homogenization scheme},

author = {Amen Tognevi and Mohamed Guerich and Julien Yvonnet},

url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5200},

year  = {2016},

date = {2016-10-01},

journal = {International Journal For Numerical Methods In Engineering},

volume = {108},

number = {1},

pages = {mars-25},

abstract = {A method is proposed to compute the response of highly heterogeneous structures by constructing homogenized models when no scale separation can be assumed. The technique is based on an extended homogenization scheme where the averaging operators are replaced by linear filters to cut off fine scale fluctuations, while maintaining locally varying mechanical fields with larger wavelength. As a result, the constitutive law at an intermediate scale, called mesoscale, arises to be naturally nonlocal by construction, where the kernel operator is fully constructed by computations on the unit cell associated with the microstructure.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1689,

title = {A priori error analysis of the implicit Euler, spectral discretization of a nonlinear equation for a flow in a partially saturated porous media},

author = {Driss Yakoubi},

url = {https://www-degruyter-com.acces.bibl.ulaval.ca/document/doi/10.1515/apam-2016-0084/html},

year  = {2016},

date = {2016-08-01},

journal = {Advances in Pure and Applied Mathematics},

volume = {9},

number = {1},

pages = {1-27},

abstract = {The aim of this work is the numerical study of a nonlinear equation, which models the water flow in a partially saturated underground porous medium under the surface. We propose a discretization of this equation that combines Euler's implicit scheme in time and spectral methods in space. We prove optimal error estimates between the continuous and discrete solutions. Some numerical experiments confirm the interest of this approach. We present numerical experiments which are in perfect coherence with the analysis.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_49,

title = {Global weak solutions to a model of micropolar fluids with maxwell-cattaneo heat transfer law},

author = {Kamel Hamdache and Djamila Hamroun and Asma Louardani},

url = {http://www.sciencedirect.com/science/article/pii/S0362546X16300529},

year  = {2016},

date = {2016-07-01},

journal = {Nonlinear Analysis-Theory Methods & Applications},

volume = {142},

pages = {69-96},

abstract = {This work is devoted to the study of a system describing the dynamics of a heated micropolar fluid under the action of an applied magnetic field. The heat transfer is subjected to Maxwell-Cattaneo law instead of the usual Fourier law. Thanks to regularization and compactness methods the global existence in time of weak solutions with finite energy has been proved.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hubert_52,

title = {Influence of Biaxial Stress on Magnetic Behavior of Dual-Phase Steel-Experiments and Modeling},

author = {Olivier Hubert and Frédérick Sorel Mballa-Mballa and Song He and Sophie Depeyre},

url = {https://ieeexplore.ieee.org/document/7372462},

year  = {2016},

date = {2016-07-01},

journal = {Ieee Transactions On Magnetics},

volume = {52},

number = {5},

pages = {01-avr},

abstract = {Online magnetic nondestructive evaluation (NDE) of dual-phase (DP) steels is made on bands submitted to high multiaxial stress. Extraction of microstructural information from the measurement requires separating the effect of stress and microstructure. Coupled magnetomechanical micromagnetic modeling is relevant for that purpose. In this paper, the magnetic behavior of a DP steel under biaxial stress is carried out and compared with the modeling. It is shown that the discrepancies observed between experiments and model can be explained by the 2-D assumption.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_48,

title = {Global existence and long time behavior of solutions to a model of ferroelectric materials},

author = {Kamel Hamdache and Djamila Hamroun},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0022247X16001177?via%3Dihub},

year  = {2016},

date = {2016-06-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {438},

number = {2},

pages = {668-700},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hoang_51,

title = {Determining the Size of RVE for Nonlinear Random Composites in an Incremental Computational Homogenization Framework},

author = {Trung Hieu Hoang and Mohamed Guerich and Julien Yvonnet},

url = {https://ascelibrary.org/doi/10.1061/%28ASCE%29EM.1943-7889.0001057},

year  = {2016},

date = {2016-05-01},

journal = {Journal Of Engineering Mechanics},

volume = {142},

number = {5},

pages = {4016018.1 -4016018.11},

abstract = {In this paper, the authors address the issue of determining the size of a representative volume element (RVE) in the case of nonlinear random composites with either elastoplastic or elasto-viscoplastic phases. In such a case, the general form of the effective constitutive behavior is not known in advance and the response must be evaluated either by direct numerical computations on the RVE or by an appropriate approximation scheme.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1691,

title = {Spectral discretization of a model for organic pollution in waters},

author = {Driss Yakoubi},

url = {https://onlinelibrary-wiley-com.acces.bibl.ulaval.ca/doi/10.1002/mma.3899},

year  = {2016},

date = {2016-03-01},

journal = {Mathematical Methods In The Applied Sciences},

volume = {39},

number = {18},

pages = {5192-5202},

abstract = {We are interested in a mixed reaction diffusion system describing the organic pollution in stream-waters. In this work, we propose a mixed-variational formulation and recall its well-posedness. Next, we consider a spectral discretization of this problem and establish nearly optimal error estimates. Numerical experiments confirm the interest of this approach.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{guerard_627,

title = {Inscribed ball and enclosing box methods for the convex maximization problem},

author = {Guillaume Guérard and Ider Tseveendorj},

url = {https://link.springer.com/article/10.1007%2Fs11590-015-0981-5},

year  = {2015},

date = {2015-12-01},

journal = {Optimization Letters},

volume = {10},

number = {2},

pages = {417-432},

abstract = {Many important classes of decision models give rise to the problem of finding a global maximum of a convex function over a convex set. This problem is known also as concave minimization, concave programming or convex maximization. Such problems can have many local maxima, therefore finding the global maximum is a computationally difficult problem, since standard nonlinear programming procedures fail. In this article, we provide a very simple and practical approach to find the global solution of quadratic convex maximization problems over a polytope. A convex function achieves its global maximum at extreme points of the feasible domain. Since an inscribed ball does not contain any extreme points of the domain, we use the largest inscribed ball for an inner approximation while a minimal enclosing box is exploited for an outer approximation of the domain. The approach is based on the use of these approximations along with the standard local search algorithm and cutting plane techniques.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1692,

title = {Spectral discretization of an unsteady flow through a porous solid},

author = {Driss Yakoubi},

url = {https://link-springer-com.acces.bibl.ulaval.ca/article/10.1007%2Fs10092-015-0168-6},

year  = {2015},

date = {2015-12-01},

journal = {Calcolo},

volume = {53},

pages = {659-690},

abstract = {We consider the non stationary flow of a viscous incompressible fluid in a rigid homogeneous porous medium provided with mixed boundary conditions. Since the boundary pressure can present high variations, the permeability of the medium also depends on the pressure, so that the problem is nonlinear. We propose a discretization of this equation that combines Euler's implicit scheme in time and spectral methods in space. We prove optimal a priori error estimates and present some numerical experiments which confirm the interest of the discretization.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1693,

title = {Spectral discretization of Darcy's equations coupled with the heat equation},

author = {Driss Yakoubi},

url = {https://academic-oup-com.acces.bibl.ulaval.ca/imajna/article/36/3/1193/1751140#36218027},

year  = {2015},

date = {2015-10-01},

journal = {IMA Journal of Numerical Analysis},

volume = {36},

number = {3},

pages = {1193-1216},

abstract = {In this paper, we consider the heat equation coupled with Darcy's law with a nonlinear source term describing heat production due to an exothermic chemical reaction. The existence and uniqueness of a solution are established. Next, a spectral discretization of the problem is presented and thoroughly analysed. Finally, we present some numerical experiments which confirm the interest of the discretization.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{gaudiello_341,

title = {A reduced model for the polarization in a ferroelectric thin wire},

author = {Antonio Gaudiello and Kamel Hamdache},

url = {https://link.springer.com/article/10.1007%2Fs00030-015-0348-8},

year  = {2015},

date = {2015-04-01},

journal = {Nodea-Nonlinear Differential Equations And Applications},

volume = {22},

number = {6},

pages = {1883-1896},

abstract = {In this paper, starting from a non-convex and nonlocal 3Dvariational model for the electric polarization in a ferroelectric material, via an asymptotic process we obtain a rigorous 1D-variational model for a thin wire.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1694,

title = {Finite element discretization of the Stokes and Navier--Stokes equations with boundary condition on the pressure},

author = {Driss Yakoubi},

url = {https://epubs-siam-org.acces.bibl.ulaval.ca/doi/10.1137/140972299},

year  = {2015},

date = {2015-04-01},

journal = {Siam Journal On Numerical Analysis},

volume = {53},

number = {3},

pages = {1256-1279},

abstract = {We consider the Stokes and Navier--Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational formulations of such problems. Next we propose a finite element discretization of them and perform the a priori and a posteriori analysis of the discrete problem. Some numerical experiments are presented in order to justify our strategy.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kanhonou_1709,

title = {A method to evaluate the 3D pseudo-kinematic of the osteoarthritic knee},

author = {Michèle Kanhonou and Thierry Cresson and Julien Clément and Frédéric Lavoie and Nicola Hagemeister and Jacques A. de Guise},

url = {https://www.oarsijournal.com/article/S1063-4584(15)00960-7/fulltext},

year  = {2015},

date = {2015-04-01},

journal = {Osteoarthritis And Cartilage},

volume = {23},

number = {Suppl2},

pages = {A117-A118},

abstract = {Purpose: Knee osteoarthritis (OA) is diagnosed and graded with a radiographic evaluation of the joint. However, there is no clear corre- lation between this grade and patient functional outcome scores (Sanghi et al. 2011; Zifchock et al. 2011, Alkan et al. 2013). This leads to the need of a quantitative and precise measure to represent the knee function. In the recent years, to evaluate healthy and OA knee function, the trend was to track skin markers displacements, known to be affected by soft tissue artefacts (Leardini et al., 2005). On the other hand, with imagery-based methods, 3D model acquired either from CT scan or Magnetic resonance imaging are matched on 2D fluoroscopic images (kinematics) or several radiographs (pseudo-kinematics) (Moro-Oka et al., 2006). With objects of known geometry in the radiographic scene (bone-embedded tantalum beads or prostheses), this matching allows attaining kinematic measurement accuracy <1 and <1mm. Without tantalum beads or prostheses, the process lacks reliability and accuracy. Thus, our goal is to present an intrinsic computation method - without any object added in the scene - and to validate its reliability on patients' images as well as its accuracy on simulated radiographs in a pseudo- kinematic context.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{clain_340,

title = {Particle size distribution of TBPB hydrates by focused beam reflectance measurement (FBRM) for secondary refrigeration application},

author = {Pascal Clain and Fatou-Toutie Ndoye and Anthony Delahaye and Laurence Fournaison and Wei Lin and Didier Dalmazzone},

url = {http://www.sciencedirect.com/science/article/pii/S0140700714002886},

year  = {2015},

date = {2015-03-01},

journal = {International Journal Of Refrigeration-Revue Internationale Du Froid},

volume = {50},

pages = {19-31},

abstract = {Particle size distribution of TBPB hydrates by focused beam reflectance measurement (FBRM) for secondary refrigeration application?,},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{amirat_624,

title = {Strong solutions to the equations of electrically conductive magnetic fluids},

author = {Youcef Amirat and Kamel Hamdache},

url = {http://www.sciencedirect.com/science/article/pii/S0022247X14006209},

year  = {2015},

date = {2015-01-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {421},

number = {1},

pages = {75-104},

abstract = {We study the equations of flow of an electrically conductive magnetic fluid, when the fluid is subjected to the action of an external applied magnetic field. The system is formed by the incompressible Navier-Stokes equations, the magnetization relaxation equation of Bloch type and the magnetic induction equation. The system takes into account the Kelvin and Lorentz force densities. We prove the local-in-time existence of the unique strong solution to the system equipped with initial and boundary conditions. We also establish a blow-up criterion for the local strong solution.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{agaciak_628,

title = {Dehydration and drying poly(vinyl)chloride (PVC) porous grains: 2. Thermogravimetric analysis and numerical simulations},

author = {Philippe Agaciak and Samir Yahiaoui and Madeleine Djabourov and Thierry Lasuye},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0927775715000394?via%3Dihub},

year  = {2015},

date = {2015-01-01},

journal = {Colloids And Surfaces A-Physicochemical And Engineering Aspects},

volume = {470},

pages = {120-129},

abstract = {This paper analyzes the drying rates of humid porous grains of poly(vinyl)chloride PVC by thermogravimetry. Grains have variable volume fractions of pores, representing between 16 and 33%g water/g PVC, with pore sizes varying between 0.6 and 1?m. It is shown that the humid cakes exhibit three different drying rate regimes at constant temperature, characterizing evaporation of free water, of interstitial water and of water inside the pores. The constant rate period (CRP) and the falling rate period (FRP) of drying are clearly identified. The drying rates and drying times are presented in adimensional units by comparison with evaporation of pure water. The thermogravimetric analysis identifies a fraction of water which dries very slowly inside the pores. A method of quantifying the strongly bound water is presented. Numerical simulations of water evaporation were performed on a 2D array of channels and illustrate the contribution of geometrical effects (diameter of channels, tortuosity, etc.) in pore drying. Visual observations of the drying of droplets of solutions containing dispersants used in PVC synthesis show interesting patterns. The phase separated solutions of dispersants are analyzed and their role in drying is highlighted.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{agaciak_629,

title = {Dehydration and drying poly(vinyl)chloride (PVC) porous grains: 1. Centrifugation and drying in controlled humid atmospheres},

author = {Philippe Agaciak and Samir Yahiaoui and Madeleine Djabourov and Thierry Lasuye},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0927775715000308?via%3Dihub},

year  = {2015},

date = {2015-01-01},

journal = {Colloids And Surfaces A-Physicochemical And Engineering Aspects},

volume = {469},

pages = {132-140},

abstract = {Concentration of aqueous suspensions of solid particles (called slurries in industrial processes) is achieved by centrifugation at high accelerations and it is an important step in dry powder productions; dehydration precedes drying. In aqueous suspensions of porous particles, water is both the interstitial fluid, which disperses the particles and the imbibition fluid, which fills the pores inside particles. This is the case in the pastes of poly(vinyl)chloride (PVC) polymerized in suspensions after centrifugation. PVC grains are non-colloidal particles with diameters close to 150?m and variable inner porosity, which are synthetized in aqueous solutions using dispersants such as various poly(vinyl)alcohols (PVA). In this paper we determine the dehydration by centrifugation of different grades PVC suspensions with laboratory scale experiments. It is shown that the humid pastes reach a pendular state at high accelerations and that the compaction of the grains and their surface properties determine the final retention of the water by capillary forces. In such conditions, internal water, inside the pores of the grains can be eliminated only by evaporation. Drying was investigated in controlled relative humidity atmospheres (RH) in desiccators by measuring the equilibrium moisture content of the grains and the evaporation rates. The evaporation rate of the superficial water is similar to pure water and can be interpreted using Stefan's equation, whereas substantial differences exist between the total drying times of grades.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1695,

title = {A Coupled prediction scheme for solving the Navier-Stokes and convection-diffusion equations,},

author = {Driss Yakoubi},

url = {https://epubs-siam-org.acces.bibl.ulaval.ca/doi/abs/10.1137/130942516},

year  = {2014},

date = {2014-10-01},

journal = {Siam Journal On Numerical Analysis},

volume = {52},

number = {5},

pages = {2415-2439},

abstract = {This paper presents a new algorithm for the numerical solution of the Navier--Stokes equations coupled with the convection-diffusion equation. After establishing convergence of the semi-discrete formulation at each time step, we introduce a new iterative scheme based on a projection method called the coupled prediction scheme. We show that even though the predicted temperature is advected by a velocity prediction which is not necessarily divergence free, the theoretical time accuracy of the global scheme is conserved. From a numerical point of view, this new approach gives a faster and more efficient algorithm compared to the usual fixed-point approaches.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kanhonou_1710,

title = {A method to study 3D knee pseudo-kinematics using low-dose stereo-radiography during static squat},

author = {Michèle Kanhonou and Thierry Cresson and Julien Clément and Frédéric Lavoie and Nicola Hagemeister and Jacques A. de Guise},

url = {https://www.tandfonline.com/doi/abs/10.1080/10255842.2014.931549},

year  = {2014},

date = {2014-08-01},

journal = {Computer Methods In Biomechanics And Biomedical Engineering},

volume = {17},

number = {1},

pages = {138-139},

abstract = {To investigate clinical questions as kinematic or postural differences between healthy and pathological populations,the current trend is to couple imagery to movement or to posture. To do so, researchers generally register a three-dimensional (3D) model acquired from either CT scan or magnetic resonance imaging on 2D fluoroscopic images(registration on dynamic activities) or several radiographs (registration on posture or pseudo-kinematics) (Moro-oka et al.2007). The literature suggests the use of so-called?extrinsic 2D/3D registration'. This implies the need of geometrical objects in the radiographic scene. Embedded tantalum beads or prostheses (Scarvell et al.2010; Sharmaet al.2012), well detectable on the radiographs, are generally used. They allow attaining the expected measurement accuracy <1° and <1mm. When no tantalum beads or prostheses are present, the registration process lacks reliability and accuracy because of the difficulty to extract precise information from the radiographic images (blurry contours, superimposition of structures and cylindrical nature of long bones) (Belvedere et al.2013). The goal of this work was to present an intrinsic 2D/3D registration method and to validate its reliability on patients' images as well as its accuracy on simulated radiographs in a pseudo-kinematic context.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kanhonou_1711,

title = {2D/3D Registration of Personalized Knee 3D Models on Biplane Radiographs for Morpho-Functional Study},

author = {Michèle Kanhonou and Thierry Cresson and Julien Clément and Frédéric Lavoie and Nicola Hagemeister and Jacques A. de Guise},

url = {https://link.springer.com/article/10.1007%2Fs11548-014-1017-9},

year  = {2014},

date = {2014-06-01},

journal = {International Journal Of Computer Assisted Radiology And Surgery},

volume = {1},

number = {2014},

pages = {S31-S32},

abstract = {To investigate kinematic or postural differences between healthy and pathological  population,  researchers  generally  register  a  3D  model acquired either from CT scan or MRI on 2D fluoroscopic images or several  radiographs  (registration  on  static  posture  images:  pseudo-kinematics). To attain the needed measurement  accuracy, the literature  suggests  the  use  of  extrinsic  2D/3D  registration,  with  known geometries in the scene (embedded tantalum beads or prostheses [1]). The goal of this work is to present an intrinsic 2D/3D registration method, to validate its reliability on patients' images and its accuracy on simulated radiographs in a pseudo-kinematic context.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1696,

title = {An immersed boundary method for fluid flows around rigid objects},

author = {Driss Yakoubi},

url = {https://onlinelibrary-wiley-com.acces.bibl.ulaval.ca/doi/10.1002/fld.3884},

year  = {2014},

date = {2014-02-01},

journal = {International Journal for Numerical Methods in Fluids},

volume = {75},

number = {1},

pages = {63-80},

abstract = {In this paper, we present an immersed boundary method for solving fluid flow problems in the presence of static and moving rigid objects. A FEM is used starting from a base mesh that does not represent exactly rigid objects (non?body?conforming mesh). At each time step, the base mesh is locally modified to provide a new mesh fitting the boundary of the rigid objects. The mesh is also locally improved using edge swapping to enhance the quality of the elements. The Navier-Stokes equations are then solved on this new mesh. The velocity of moving objects is imposed through standard Dirichlet boundary conditions. We consider a number of test problems and compare the numerical solutions with those obtained on classical body?fitted meshes whenever possible.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}