Abstract
We introduce a recent model of an isothermal, incompressible mixture of ionic species with finite ion size and solvation effects. A two point flux finite volume ansatz on unstructured meshes is chosen to discretize the model. Based on a reformulation of the continuous problem in terms of absolute activities, the Scharfetter-Gummel upwind scheme is generalized to take into account finite ion size and solvation effects in a thermodynamically consistent manner.
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Acknowledgements
This work was carried out in the framework of the project “Macroscopic Modeling of Transport and Reaction Processes in Magnesium-Air-Batteries” (Grant 03EK3027D) under the research initiative “Energy storage” of the German Federal government.
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Fuhrmann, J., Guhlke, C. (2017). A Finite Volume Scheme for Nernst-Planck-Poisson Systems with Ion Size and Solvation Effects. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_52
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DOI: https://doi.org/10.1007/978-3-319-57394-6_52
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