Mixed finite element methods for elliptic problems
Computer Methods in Applied Mechanics and Engineering
Convergence of upwind finite volume schemes for scalar conservation laws in two dimensions
SIAM Journal on Numerical Analysis
Combined finite element-finite volume solution of compressible flow
Modelling 94 Proceedings of the 1994 international symposium on Mathematical modelling and computational methods
SIAM Journal on Numerical Analysis
On the interface boundary condition of Beavers, Joseph, and Saffman
SIAM Journal on Applied Mathematics
The streamline-diffusion method for a convection-diffusion problem with a point source
Journal of Computational and Applied Mathematics
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Numerical Approximation of Partial Differential Equations
Numerical Approximation of Partial Differential Equations
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
Hi-index | 31.45 |
Using Kirchhoff transformation, we develop a Dirichlet-Neumann alternating iterative domain decomposition method for a 2D steady-state two-phase model for the cathode of a polymer electrolyte fuel cell (PEFC) which contains a channel and a gas diffusion layer (GDL). This two-phase PEFC model is represented by a nonlinear coupled system which typically includes a modified Navier-Stokes equation with Darcy's drag as an additional source term of the momentum equation, and a convection-diffusion equation for the water concentration with discontinuous and degenerate diffusivity. For both cases of dry and wet gas channel, we employ Kirchhoff transformation and Dirichlet-Neumann alternating iteration with appropriate interfacial conditions on the GDL/channel interface to treat the jump nonlinearities in the water equation. Numerical experiments demonstrate that fast convergence as well as accurate numerical solutions are obtained simultaneously owing to the implementation of the above-described numerical techniques along with a combined finite element-upwind finite volume discretization to automatically control the dominant convection terms arising in the gas channel.