3 papers
math.NA2026
Preconditioners for the Onsager-Stefan-Maxwell equations for multicomponent diffusion
Kars Knook, Aaron Baier-Reinio, Patrick E. Farrell
The Onsager-Stefan-Maxwell (OSM) equations are an important model of mass transport in multicomponent flows with multiple chemical species. They describe the coupling of diffusive…
math.NA2026
Finite element methods for electroneutral multicomponent electrolyte flows
Aaron Baier-Reinio, Patrick E. Farrell, Charles W. Monroe
We present a broad family of high-order finite element algorithms for simulating the flow of electroneutral electrolytes. The governing partial differential equations that we solve…
math.NA2025
High-order finite element methods for three-dimensional multicomponent convection-diffusion
Aaron Baier-Reinio, Patrick E. Farrell
We derive and analyze a broad class of finite element methods for numerically simulating the stationary, low Reynolds number flow of concentrated mixtures of several distinct chemi…