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...

wall displacements and ground pressure acting on the lining of a tunnel increase with time. these time-dependent deformations are both due to face advance effect and to the time-dependent behavior of the rock mass.  viscoelastic materials exhibit both viscous and elastic behaviors. thorough this study, the effect of different linear viscoelastic models including maxwell, kelvin and kelvin-voigt...

because of its kinetic nature and computational advantages, the lattice boltzmann method (lbm) has been well accepted as a useful tool to simulate micro-scale flows. the slip boundary model plays a crucial role in the accuracy of solutions for micro-channel flow simulations. the most used slip boundary condition is the maxwell slip model. the results of maxwell slip model are affected by the ac...

<p style='text-indent:20px;'>After the pioneering work by Giovangigli on mathematics of multicomponent flows, several attempts were made to introduce global weak solutions for PDEs describing dynamics fluid mixtures. While incompressible case with constant density was enlighted well enough due results Chen and Jüngel (isothermal case), or Marion Temam, some open questions remain solution ...

Abstract An implicit Euler finite-volume scheme for general cross-diffusion systems with volume-filling constraints is proposed and analyzed. The diffusion matrix may be nonsymmetric not positive semidefinite, but the system assumed to possess a formal gradient-flow structure that yields $L^\infty $ bounds on continuous level. Examples include Maxwell–Stefan gas mixtures, tumor-growth models fa...