Finite element approximation analysis for a steady state two-phase transport model of proton exchange membrane fuel cell

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摘要

In this paper, we study a 2D steady state two-phase transport model of water species which occurs in the cathode gas diffusion layer of proton exchange membrane fuel cell (PEMFC). The reformulation of water transport equation is described by Kirchhoff transformation to deal with the discontinuous and degenerate water diffusivity due to phase change. Finite element approximation is developed for the present model and the optimal error estimate in H1 norm and the sub-optimal error estimate in L2 norm are obtained for the multiphase mixture model of PEMFC for the first time. Numerical experiments are also performed to verify the theoretical results.

论文关键词:Steady state two-phase transport model,Proton exchange membrane fuel cell (PEMFC),Kirchhoff transformation,Finite element method,Optimal error estimates

论文评审过程:Received 30 September 2013, Revised 26 January 2014, Available online 15 February 2014.

论文官网地址:https://doi.org/10.1016/j.cam.2014.02.001