Abstract We investigate structure-preserving finite element discretizations of the steady-state Stefan–Maxwell diffusion problem, which governs mass transport within a phase consisting multiple species. An approach inspired by augmented Lagrangian methods allows us to construct symmetric positive definite Onsager matrix, in turn leads an effective numerical algorithm. prove inf-sup conditions f...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 18 May 2020Accepted: 04 June 2021Published online: 09 September 2021Keywordsfinite difference, Maxwell--Stefan systems, cross-diffusion, positivity-preserving, energy dissipationAMS Subject Headings35K55, 35Q79, 65M06, 35L45Publication DataISSN (print): 0036-1429ISSN (onl...

A lattice Boltzman model for the simulation of binary mixtures is presented. Contrary to previous models, the present formulation is able to simulate mixtures with different Schmidt numbers and arbitrary molecular mass ratio of the components. In the hydrodynamic limit, the Navier-Stokes and the Stefan-Maxwell binary diffusion equations are recovered. The model is used for the simulation of bin...

Abstract. The uniqueness of bounded weak solutions to strongly coupled parabolic equations in a bounded domain with no-flux boundary conditions is shown. The equations include cross-diffusion and drift terms and are coupled selfconsistently to the Poisson equation. The model class contains special cases of the Maxwell-Stefan equations for gas mixtures, generalized Shigesada-Kawasaki-Teramoto eq...

A model for the simulation of the steady-state impedance response of a polymer electrolyte membrane fuel cell ~PEMFC! cathode is presented. The catalyst layer of the electrode is assumed to consist of many flooded spherical agglomerate particles surrounded by a small volume fraction of gas pores. Stefan-Maxwell equations are used to describe the multicomponent gas-phase transport occurring in b...

This paper presents the simulations for a two-dimensional PEMFC with an interdigitated flow channel design using FEMLAB. The multi-species flow of O2, H2, H2O and inert N2 is examined over the entire fuel cell working range. The transportations of these gases in the porous anode/cathode are predicted using the Maxwell-Stefan transport equations and the Fick’s law; the flow field is predicted us...