Modelling ion diffusion mechanisms in porous media. (English) Zbl 0958.76086
Summary: We present a numerical model for predicting the drift of ions in electrolytic solutions. The mechanisms of ionic diffusions are described by Nernst-Planck equations. The electrical coupling between various ionic fluxes is accounted for by the Poisson equation. Two algorithms using the finite 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-Raphson scheme. Test results clearly indicate that the range of application is broader for the algorithm based on the Newton-Raphson method. Selected examples of the application of the algorithm to more complex one- and two-dimensional cases are given.
MSC:
| 76R50 | Diffusion |
| 76S05 | Flows in porous media; filtration; seepage |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
Keywords:
electrolytic solutions; ionic diffusion; Nernst-Planck equations; electrical coupling; Poisson equation; finite element method; Picard iteration method; Newton-Raphson schemeReferences:
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