A 3D finite element approach for the coupled numerical simulation of electrochemical systems and fluid flow | Zendy

Bauer Georg | Zendy; Gravemeier Volker | Zendy; Wall Wolfgang A. | Zendy

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A 3D finite element approach for the coupled numerical simulation of electrochemical systems and fluid flow

Author(s) -

Bauer Georg,

Gravemeier Volker,

Wall Wolfgang A.

Publication year - 2011

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.3107

Subject(s) - finite element method , fluid dynamics , mechanics , computer science , smoothed finite element method , flow (mathematics) , electrochemistry , materials science , mechanical engineering , engineering , physics , structural engineering , boundary knot method , boundary element method , electrode , quantum mechanics

A comprehensive finite element method for three‐dimensional simulations of stationary and transient electrochemical systems including all multi‐ion transport mechanisms (convection, diffusion and migration) is presented. In addition, non‐linear phenomenological electrode kinetics boundary conditions are accounted for. The governing equations form a set of coupled non‐linear partial differential equations subject to an algebraic constraint due to the electroneutrality condition. The advantage of a convective formulation of the ion‐transport equations with respect to a natural application of homogeneous flux boundary conditions is emphasized. For one of the numerical examples, an analytical solution for the coupled problem is provided, and it is demonstrated that the proposed computational approach is robust and provides accurate results. Copyright © 2011 John Wiley & Sons, Ltd.

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