Self-organized gradient percolation method for numerical simulation of impregnation in porous media

Nguyen, Anh Khoa; Blond, Éric; Sayet, Thomas; Batakis, Athanasios; Bilbao, Emmanuel de; Duong, Minh Duc

doi:10.1016/j.cma.2018.10.027

Cited by 5 publications

(4 citation statements)

References 58 publications

(148 reference statements)

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“…The self-organized gradient percolation (SGP) method, which is based on the gradient percolation method, has been developed to reach these goals. The SGP method is extensively developed by, 19 only the main points are underlined hereafter.…”

Section: Sgp Methods For Impregnationmentioning

confidence: 99%

Thermo‐chemo‐mechanical modeling of refractory behavior in service: Key points and new developments

Blond

Nguyen

Bilbao

et al. 2020

Int J Applied Ceramic Tech

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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 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.

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Section: Sgp Methods For Impregnationmentioning

confidence: 99%

Thermo‐chemo‐mechanical modeling of refractory behavior in service: Key points and new developments

Blond

Nguyen

Bilbao

et al. 2020

Int J Applied Ceramic Tech

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“…Self-Organized Gradient Percolation method (SGP) in light of the Gradient Percolation Method has been proposed to reproduce Capillary Pressure Profiles overtime of the impregnation phenomena [6]. For the capillary rising test, we choose the function ( ) to be a function of a local site (nodes in the sense of numerical analysis).…”

Section: Self-organized Gradient Percolation For 1d Casementioning

confidence: 99%

“…where < * > is the convolution operator, is the smoothing function. From physics standpoints, on the first step time, the state function ( , ) is defined by [6]:…”

Section: Self-organized Gradient Percolation For 1d Casementioning

confidence: 99%

“…where is the size of the step time, is a physical constant, , is capillary pressure relating to tube model [8], and is the constant relating to the evolution of saturated zone. SGP method has been validated [6] for 1D-impregnation case. In the next steps, the SGP method is therefore modified with extension to the 2D case.…”

Section: Self-organized Gradient Percolation For 1d Casementioning

confidence: 99%

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2D Self-Organized Gradient Percolation Model for Numerical Simulation of Impregnation in Porous Media

Trang¹,

Sayet²,

Batakis³

et al. 2021

14th WCCM-ECCOMAS Congress

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Reactive impregnation concerns many science and engineering areas, such as corrosion in the steel-making industry and chemical engineering. Furthermore, reactive impregnation can become dangerous in some applications. Simulating non-reactive impregnation with classical methods is the first step before computing reactive impreg++nation. However, existing numerical methods present problems such as high computational cost and spurious oscillation. To avoid these computational difficulties, we propose the Self-organized Gradient Percolation model. It is a numerical model based on probabilistic approaches and, in particular, on percolation methods. This work aims to present a 2D model based on the 1D developed model. The first results are free from spurious oscillation and drastically reduced the computational cost compared with the classical methods.

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Numerical study for the percolation threshold and transport properties of porous composites comprising non-centrosymmetrical superovoidal pores

Chen

Lin

2020

Computer Methods in Applied Mechanics and Engineering

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Self-organized gradient percolation method for numerical simulation of impregnation in porous media

Cited by 5 publications

References 58 publications

Thermo‐chemo‐mechanical modeling of refractory behavior in service: Key points and new developments

Thermo‐chemo‐mechanical modeling of refractory behavior in service: Key points and new developments

2D Self-Organized Gradient Percolation Model for Numerical Simulation of Impregnation in Porous Media

Numerical study for the percolation threshold and transport properties of porous composites comprising non-centrosymmetrical superovoidal pores

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