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4. Numerical Simulation Of Impregnation In Porous Media By Self-organized Gradient Percolation Method

Author

Nguyen, Anh Khoa, Blond, Eric, Sayet, Thomas, Batakis, Athanasios, De Bilbao, E., and Duong, Minh Duc

Subjects
Physics - Computational Physics
Abstract

The aim of this work is to develop a new numerical method to overcome the computational difficulties of numerical simulation of unsaturated impregnation in porous media. The numerical analysis by classical methods (F.E.M, theta-method, ...) for this phenomenon require small time-step and space discretization to ensure both convergence and accuracy. Yet this leads to a high computational cost. Moreover, a very small time-step can lead to spurious oscillations that impact the precision of the results. Thus, we propose to use a Self-organized Gradient Percolation (SGP) algorithm to reduce the computational cost and overcome these numerical drawbacks. The (SGP) method is based on gradient percolation theory, relevant to calculation of local saturation. The initialization of this algorithm is driven by an analytic solution of the homogenous diffusion equation, which is a convolution between a Probability Density Function (PDF) and a smoothing function. Thus, we propose to reproduce the evolution of the capillary pressure profiles by the evolution of the standard deviation of the PDF. This algorithm is validated by comparing the results with the capillary pressure profiles and the mass gain curve obtained by finite element simulations and experimental measurements, respectively. The computational time of the proposed algorithm is lower than that of finite element models for one-dimension case. In conclusion, the SGP method permits to reduce the computational cost and does not produce spurious oscillations. The work is still going on for extension in 3D and the first results are promising.

Published
2018

5. Simulation of the impregnation in the porous media by the Self- organized Gradient Percolation method

Author

Nguyen, Anh Khoa, Blond, Eric, Sayet, Thomas, De Bilbao, E., Batakis, Athanasios, and Duong, Minh Duc

Subjects
Condensed Matter - Soft Condensed Matter, Physics - Classical Physics, Physics - Data Analysis, Statistics and Probability
Abstract

Many processes can correspond to reactive impregnation in porous solids. These processes are usually numerically computed by classical methods like finite element method, finite volume method, etc. The disadvantage of these methods remains in the computational time. The convergence and accuracy require a small step-time and a small mesh size, which is expensive in computational time and can induce a spurious oscillation. In order to avoid this problem, we propose a Self-organized Gradient Percolation algorithm. This method permits to reduce the CPU time drastically.

Published
2018

8. Numerical study on the nonlinear thermomechanical behaviour of refractory masonry with dry joints

Author

Gajjar, Pratik Naresh, Ali, Mahmoud, Sayet, Thomas, Gasser, Alain, Blond, Eric, Pereira, João Miguel, Lourenço, Paulo B., and Universidade do Minho

Subjects
Macro and micro models, Cidades e comunidades sustentáveis, Numerical modelling, Nonlinear homogenization, Engenharia e Tecnologia::Engenharia Civil, Refractories, Nonlinear analysis, Indústria, inovação e infraestruturas, Masonry, Viscoplasticity
Abstract

Refractory masonry with dry joints is widely employed as a protective lining in industrial applications requiring high-temperature treatments. The thermal and mechanical behaviour of alumina spinel refractory masonry is investigated for a wide range of mechanical loading conditions at ambient and high temperature up to 1500 °C within the framework of the ATHOR project. This paper discusses the different numerical analysis approaches for the simulation of the experimental results. Micro and macro modelling approaches show good agreement with the large scale uniaxial and biaxial compression tests for loading and unloading at the ambient temperature. Simulations carried out for large scale uniaxial and biaxial creep tests as well as biaxial relaxation tests at 1500 °C show good agreement. The numerical results indicate the ability of these modelling approaches to represent the complex thermomechanical behaviour of the refractory masonry. Both methods demonstrate an orthotropic and highly nonlinear behaviour of the refractory masonry as observed in the experimental campaign. The numerical outcome, validated with experimental results demonstrate compatibility between micro and macro modelling approach that can be employed to evaluate local and global behaviour of large industrial installations., This work was supported by the funding scheme of the European Commission, Marie Skłodowska-Curie Actions Innovative Training Networks in the frame of the project ATHOR - Advanced THermomechanical multiscale mOdelling Refractory linings 764987 Grant. The first, sixth and seventh author also acknowledge the financial support by FCT / MCTES through national funds (PIDDAC) under the R&D Unit Institute for Sustainability and Innovation in Structural Engineering (ISISE), under reference UIDB / 04029/2020, and under the Associate Laboratory Advanced Production and Intelligent Systems ARISE underreference LA/P/0112/2020. This work is financed by national funds through FCT - Foundation for Science and Technology, under grant agreement 2021.05961.BD attributed to the first author.

Published
2023

12. Creep characterization of refractory materials at high temperatures using the Integrated Digital Image Correlation

Author

Breder Teixeira, Lucas, Gillibert, Jean, Blond, Eric, Sayet, Thomas, Mécanique des Matériaux et Procédés (MMP), Laboratoire de Mécanique Gabriel Lamé (LaMé), Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)

Subjects
ComputingMilieux_MISCELLANEOUS, [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph]
Abstract

International audience

Published
2019

16. Application of the Integrated Digital Image Correlation technique associated to Brazilian disc tests to identify the creep behavior of refractory materials

Author

BREDER TEIXEIRA Lucas, GILLIBERT Jean, BLOND Eric, SAYET Thomas, Mécanique des Matériaux et Procédés (MMP), Laboratoire de Mécanique Gabriel Lamé (LaMé), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique (PRISME), Université d'Orléans (UO)-Ecole Nationale Supérieure d'Ingénieurs de Bourges (ENSI Bourges), Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), and BREDER TEIXEIRA, Lucas

Subjects
refractory, Brazilian disc, [SPI.MECA.GEME] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph], Integrated Digital Image Correlation, ComputingMilieux_MISCELLANEOUS, creep, [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph]
Abstract

Application of the Integrated Digital Image Correlation technique associated to Brazilian disc tests to identify the creep behavior of refractory materials

Published
2019

17. Inverse Identification of Asymmetric Creep Parameters Using the I-DIC Technique

Author

Breder Teixeira, Lucas, Gillibert, Jean, Blond, Eric, Sayet, Thomas, Mécanique des Matériaux et Procédés (MMP), Laboratoire de Mécanique Gabriel Lamé (LaMé), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT), Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)

Subjects
Asymmetric Creep, Condensed Matter::Superconductivity, I-DIC, ComputingMilieux_MISCELLANEOUS, [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph], Physics::Geophysics
Abstract

Inverse Identification of Asymmetric Creep Parameters Using the I-DIC Technique

Published
2019
Full Text
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18. Thermo-Chemo-Mechanical Modelling of Refractories Behavior in service: Keypoints and New Numerical Developments

Author

Blond, Eric, Nguyen, Anh Khoa, Sayet, Thomas, Batakis, Athanasios, De Bilbao, Emmanuel, Mécanique des Matériaux et Procédés (MMP), Laboratoire de Mécanique Gabriel Lamé (LaMé), Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO), Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS), Conditions Extrêmes et Matériaux : Haute Température et Irradiation (CEMHTI), Blond, Eric, Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT), Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO), Centre National de la Recherche Scientifique (CNRS)-Institut de Chimie du CNRS (INC)-Université d'Orléans (UO), Université d'Orléans (UO), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours

Subjects
refractory corrosion, [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], self-organised gradient percolation model, [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], numerical modelling, [SPI.MECA.STRU] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], Multiphysics couplings, [SPI.MECA.MEMA] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph]
Abstract

International audience; The lifespan of refractory results from a complex interaction between chemistry, thermal conditions and mechanics. The development of numerical models able to predict the results of such complex multi-physics couplings requires an intensive use of the thermodynamics of irreversible processes framework. Today, the main barriers to reach fully predictive simulations are: the access to relevant data at high temperature (chemical kinetics, chemical expansion coefficient, etc.), the numerical complexity and the computational time.The theoretical framework is briefly illustrated on refractory lining applications with a focus on the impact of the swelling induced by corrosion. Then, the numerical difficulties to ensure the numerical convergence and the accuracy of the results when solving classical Partial Differential Equations (PDE) are examined. Finally, a new approach to model the capillary impregnation by slag, based on percolation theory, is proposed. The basics of this method and the first numerical results are presented.

Published
2018

19. Inverse Identification of Mechanical Materials' Properties Using the Integrated DIC Technique

Author

Breder Teixeira, Lucas, Blond, Eric, Sayet, Thomas, Gillibert, Jean, Mécanique des Matériaux et Procédés (MMP), Laboratoire de Mécanique Gabriel Lamé (LaMé), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT), Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)

Subjects
ComputingMilieux_MISCELLANEOUS, [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph]
Abstract

Inverse Identification of Mechanical Materials’ Properties Using the Integrated DIC Technique

Published
2018
Full Text
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20. Use of converter slag as ballast for offshore windmills foundations

Author

M., Fixaris, Iosif, Ana-Maria, Henriot, Francis, Blond, Eric, Sayet, Thomas, Mécanique des Matériaux et Procédés (MMP), Laboratoire de Mécanique Gabriel Lamé (LaMé), Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)

Subjects
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], [SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph], [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph]
Abstract

International audience; By integrating circular economy principles into its by-products management, ArcelorMittal is developing cost-effective solutions to reuse its by-products when the technical characteristics match with market requirements.Converter slag is a by-product generated by the steel making process. As dense material (~2 t/m3), the slag might be valued as ballast for gravity foundation bases for offshore windmill replacing natural stones and preserve resources.Due to its content of free lime and free magnesia, converter slag in contact with water will be hydrated and carbonated, causing its volumetric expansion.The current work investigated converter slag behaviour in contact with sea water inside closed structures. Two main mechanisms have been considered regarding slag volume expansion: internal pressure on the walls of the concrete structure and slag particles sticking.Through modeling and experimentation, it has been shown that slag expansion generates only a level increase inside the foundation with a very low contact pressure on the walls: 0.2 MPa, far below ordinary concrete strength (~35 MPa). Inside an experimental prototype (1/5 size), the slag level increased by 5 cm, after one year of contact with sea water, without cohesion between particles, while expansion decreases by 6%. Those results prove that slag hydration takes place by increasing its level without any danger for concrete gravity structures.The assessment of the ecosystem impact of slag used in maritime environment has shown a neutral effect in comparison with natural stone.

Published
2018

21. Thermo-Chemo-Mechanical Modelling of Refractories at High Temperatures: Basics, Keypoints and New Numerical Developments

Author

Blond, Eric, NGUYEN, Anh Khoa, Sayet, Thomas, Batakis, Athanasios, De Bilbao, Emmanuel, Duong, M.D., Mécanique des Matériaux et Procédés (MMP), Laboratoire de Mécanique Gabriel Lamé (LaMé), Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université d'Orléans (UO)-Université de Tours-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO), Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS), Conditions Extrêmes et Matériaux : Haute Température et Irradiation (CEMHTI), Blond, Eric, Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours, Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO), Centre National de la Recherche Scientifique (CNRS)-Institut de Chimie du CNRS (INC)-Université d'Orléans (UO), Université d'Orléans (UO), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)-Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Tours (UT)

Subjects
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], [SPI.MECA.MSMECA] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph], [SPI.MECA.STRU] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], [SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph], [SPI.MECA.MEMA] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph]
Abstract

International audience; The lifespan of refractory results from a complex interaction between chemistry, thermal heat science and mechanics. The development of numerical models able to predict the results of such complex multi-physics couplings require an intensive use of the thermodynamic of irreversible processes framework. Today, the main barriers to reach fully predictive simulations are: the access to relevant data at high temperature (chemical kinetics, chemical expansion coefficient, etc.), the numerical complexity and the computational time.This talk will summarize the theoretical framework illustrated on refractory lining application following by a description of the case of the reactive impregnation of refractory by slag. Ensuring numerical convergence and results accuracy require small time step and fine space discretization craftily coupled that results which lead to a very long computational time. To overcome the numerical difficulties and to speed up the computation time, a new numerical method based on percolation theory is proposed. The basics of this method and the first numerical results in one dimension will be presented.

Published
2018

22. L'influence des écoulements de la matière sur l'évolution des contraintes résiduelles durant le procédé de soudage

Author

SAADLAOUI, Yassine, SALLEM, Haifa, Feulvarch, Eric, Sayet, Thomas, Leblond, Jean-Baptiste, Bergheau, Jean-Michel, Laboratoire de Tribologie et Dynamique des Systèmes (LTDS), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-École Nationale des Travaux Publics de l'État (ENTPE)-Ecole Nationale d'Ingénieurs de Saint Etienne-Centre National de la Recherche Scientifique (CNRS), Laboratoire pluridisciplinaire de recherche en ingénierie des systèmes, mécanique et énergétique (PRISME), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Institut Jean Le Rond d'Alembert (DALEMBERT), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), and Université Paris-Saclay

Subjects
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], Tension de surface, Soudage, Bain fondu, Eléments finis, [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph]
Abstract

International audience; L’objectif de ce travail est de montrer numériquement, au cours du procédé de soudage, l’influence des écoulements de la matière dans le bain fondu sur l’évolution des contraintes résiduelles générées. Ainsi deux approches numériques différentes sont adoptées afin d’assurer le couplage des différents états de la matière liquide et solide, y compris la solidification dans zone pâteuse. Dans la première approche, les écoulements fluides dans le bain fondu sont modélisés, les différents états de la matière sont couplés en se basant sur un formalisme Arbitraire ment Lagrangi en Eulérien (ALE). Dans la deuxième approche, les simulations sont réalisées en adoptant une approche Lagrangienne où les écoulements dans le bain fondu ne sont pas pris en compte.

Published
2017

23. Simulation of the impregnation in the porous media by the Selforganized Gradient Percolation method

Author

Nguyen, Anh Khoa, Blond, Eric, Sayet, Thomas, De Bilbao, Emmanuel, Batakis, Athanasios, Duong, Minh Duc, Laboratoire pluridisciplinaire de recherche en ingénierie des systèmes, mécanique et énergétique (PRISME), Université d'Orléans (UO)-Institut National des Sciences Appliquées - Centre Val de Loire (INSA CVL), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Conditions Extrêmes et Matériaux : Haute Température et Irradiation (CEMHTI), Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS), Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO), Vietnam National University - Ho Chi Minh City (VNU-HCM), Université Paris-Saclay, Université d'Orléans (UO)-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO), and Centre National de la Recherche Scientifique (CNRS)-Institut de Chimie du CNRS (INC)-Université d'Orléans (UO)

Subjects
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], Porous media, Impregnation, Self-organized Gradient Percolation, Capillary pressure curve, [PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft], [PHYS.PHYS.PHYS-DATA-AN]Physics [physics]/Physics [physics]/Data Analysis, Statistics and Probability [physics.data-an], [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph]
Abstract

International audience; Many processes can correspond to reactive impregnation in porous solids. These processes are usually numerically computed by classical methods like finite element method, finite volume method, etc. The disadvantage of these methods remains in the computational time. The convergence and accuracy require a small step-time and a small mesh size, which is expensive in computational time and can induce a spurious oscillation. In order to avoid this problem, we propose a Self-organized Gradient Percolation algorithm. This method permits to reduce the CPU time drastically.

Published
2017

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