1999
DOI: 10.1002/(sici)1097-0207(19991230)46:12<2043::aid-nme795>3.3.co;2-z
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Modelling ion diffusion mechanisms in porous media

Abstract: SUMMARYThe main features of a numerical model aiming at predicting the drift of ions in electrolytic solutions are presented. The mechanisms of ionic di usion are described by solving the Nernst-Planck system of equations. The electrical coupling between the various ionic uxes is accounted for by the Poisson equation. Two algorithms using the ÿnite element method for spatial discretization are compared for simple test cases. One is based on the Picard iteration method while the other is based on the Newton-Rap… Show more

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Cited by 39 publications
(71 citation statements)
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“…There are a number of models for simulation of the ionic transport into cementitious materials [4][5][6][7][8][9].…”
Section: Introductionmentioning
confidence: 99%
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“…There are a number of models for simulation of the ionic transport into cementitious materials [4][5][6][7][8][9].…”
Section: Introductionmentioning
confidence: 99%
“…Over the years, Nernst-Planck/Poisson equations have been successfully applied to evaluate the electrical coupling between ions in dilute solution as well as in concentrated solutions where the chemical activity effects are significant [4][5][6][7][8].…”
Section: Introductionmentioning
confidence: 99%
“…where, C is the chloride concentration at time t, and r t is the adsorption rate at time t. Most advanced modelsdsuch as the electrochemical chloride removal (ECR) [44] and NernstePlanck/ Poisson model [33]dinclude electro-neutrality in the presence of ionic charges, however here it is reasonable to use the Fickian diffusion model to simulate the chloride transport in cement paste influenced by CLDH. Ionic interactions have a minor effect on the chloride diffusion process without externally applied voltage, with the adsorption process being a dominant condition in the ionic transport.…”
Section: Chloride Transport Model In Cement Paste With the Inclusion mentioning
confidence: 99%
“…Implementations of models in higher spatial dimensions for the time-dependent NPP problems are scarce. Samson et al [27] published an interesting work on modeling electrodiffusion mechanisms in porous media in 1D and 2D geometries. Finite-difference methods used for initial value problems involving the NPP equations cover a wide spectrum of algorithms between entirely explicit and entirely implicit techniques.…”
Section: Numerical Solutions Of the Full Set Of The Time-dependent Nementioning
confidence: 99%