BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Aaron Baier-Reineo DTSTART:20251008T070000Z DTEND:20251008T080000Z DTSTAMP:20260422T121907Z UID:MathMAC/39 DESCRIPTION:Title: Finite element methods for electroneutral multicomponent convection-diffu sion\nby Aaron Baier-Reineo as part of Modelling of materials - theory \, model reduction and efficient numerical methods (UNCE MathMAC)\n\n\nAbs tract\nMulticomponent fluids are those consisting of multiple chemical spe cies. Complex physical processes occur within these fluids\; examples incl ude cross-diffusion\, chemical reactions\, momentum transport\, thermality and (for charged species) electrical effects. Despite their ubiquity in s cience and engineering\, multicomponent fluids have received limited atten tion from the finite element community\, and many important applications r emain out of reach from current numerical methods. In this talk\, we prese nt novel high-order finite element methods for multicomponent cross-diffus ion and momentum transport. Our model can also incorporate local electrone utrality when the species carry electrical charge\, making the methods par ticularly desirable for simulating liquid electrolytes in electrochemical applications. We discuss challenges that arise when discretising the gover ning partial differential equations\, as well as some salient theoretical properties of the numerical schemes. Finally\, we present numerical simula tions involving (i) the microfluidic non-ideal mixing of hydrocarbons and (ii) a lithium-ion battery electrolyte in a Hull cell electrode.\n LOCATION:https://researchseminars.org/talk/MathMAC/39/ END:VEVENT END:VCALENDAR