A 3D finite element approach for the coupled numerical simulation of electrochemical systems and fluid flow
作者： Georg Bauer , Volker Gravemeier , Wolfgang A. Wall
DOI: 10.1002/NME.3107
关键词: Statistical physics 、 Finite element method 、 Numerical partial differential equations 、 Partial differential equation 、 Boundary value problem 、 Nonlinear system 、 Computer simulation 、 Convection–diffusion equation 、 Fluid dynamics 、 Mechanics 、 Physics
摘要: SUMMARY A comprehensive finite element method for three-dimensional simulations of stationary and transient electrochemical systems including all multi-ion transport mechanisms (convection, diffusion migration) is presented. In addition, non-linear phenomenological electrode kinetics boundary conditions are accounted for. The governing equations form a set coupled partial differential subject to an algebraic constraint due the electroneutrality condition. advantage convective formulation ion-transport with respect natural application homogeneous flux emphasized. For one numerical examples, analytical solution problem provided, it demonstrated that proposed computational approach robust provides accurate results. Copyright 2011 John Wiley & Sons, Ltd.
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