TY - JOUR
T1 - Fast Numerical Simulation of Two-Phase Transport Model in the Cathode of a Polymer Electrolyte Fuel Cell
AU - Pengtao Sun, Guangri Xue, Chaoyang Wang & Jinchao Xu
JO - Communications in Computational Physics
VL - 1
SP - 49
EP - 71
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7671.html
KW - Two-phase model, polymer electrolyte fuel cell, Kirchhoff transformation, convection
dominated diffusion problem, streamline diffusion, Galerkin-least-squares.
AB - <p style="text-align: justify;">In this paper, we apply streamline-diffusion and Galerkin-least-squares finite element methods for 2D steady-state two-phase model in the cathode of polymer
electrolyte fuel cell (PEFC) that contains a gas channel and a gas diffusion layer (GDL).
This two-phase PEFC model is typically modeled by a modified Navier-Stokes equation
for the mass and momentum, with Darcy&#39;s drag as an additional source term in
momentum for flows through GDL, and a discontinuous and degenerate convection-diffusion
equation for water concentration. Based on the mixed finite element method
for the modified Navier-Stokes equation and standard finite element method for water
equation, we design streamline-diffusion and Galerkin-least-squares to overcome
the dominant convection arising from the gas channel. Meanwhile, we employ Kirchhoff
transformation to deal with the discontinuous and degenerate diffusivity in water
concentration. Numerical experiments demonstrate that our finite element methods,
together with these numerical techniques, are able to get accurate physical solutions
with fast convergence.</p>