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Voronoi Finite Volumes and Pressure Robust Finite Elements for Electrolyte Models with Finite Ion Sizes

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Numerical Geometry, Grid Generation and Scientific Computing

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 131))

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Abstract

Liquid electrolytes—fluids containing electrically-charged ions—occur in electrochemical energy conversion systems, nanofluidic devices, biological tissues and other systems. Numerical modeling provides a valuable tool to understand the strongly coupled nonlinear effects occurring in these systems. This paper reviews a recently developed strategy to simulate electro-osmotic flows with finite ion size constraints, which uses a Voronoi finite volume method to discretize charge distribution and ion transport. It demonstrates the demand for improved automatic mesh generation that is capable to provide problem dependent anisotropic meshes.

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Acknowledgements

The research described in this paper has been supported by the German Federal Ministry of Education and Research Grant 03EK3027D (Network “Perspectives for Rechargeable Magnesium-Air batteries”) and Einstein Foundation Berlin within the Matheon Project CH11 “Sensing with Nanopores”.

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Authors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Jürgen Fuhrmann, Clemens Guhlke, Alexander Linke, Christian Merdon & Rüdiger Müller

Authors
  1. Jürgen Fuhrmann
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  2. Clemens Guhlke
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  3. Alexander Linke
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  4. Christian Merdon
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  5. Rüdiger Müller
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Corresponding author

Correspondence to Jürgen Fuhrmann .

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Editors and Affiliations

  1. Federal Research Center of Informatics and Control, Russian Academy of Sciences, Dorodnitsyn Computing Centre, Moscow, Russia

    Vladimir A. Garanzha

  2. m4sim GmbH, Berlin, Germany

    Lennard Kamenski

  3. Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany

    Hang Si

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Fuhrmann, J., Guhlke, C., Linke, A., Merdon, C., Müller, R. (2019). Voronoi Finite Volumes and Pressure Robust Finite Elements for Electrolyte Models with Finite Ion Sizes. In: Garanzha, V., Kamenski, L., Si, H. (eds) Numerical Geometry, Grid Generation and Scientific Computing. Lecture Notes in Computational Science and Engineering, vol 131. Springer, Cham. https://doi.org/10.1007/978-3-030-23436-2_5

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