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

  • Jürgen FuhrmannEmail author
  • Clemens Guhlke
  • Alexander Linke
  • Christian Merdon
  • Rüdiger Müller
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 131)


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.



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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Jürgen Fuhrmann
    • 1
    Email author
  • Clemens Guhlke
    • 1
  • Alexander Linke
    • 1
  • Christian Merdon
    • 1
  • Rüdiger Müller
    • 1
  1. 1.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany

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