BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Patrick Farrell DTSTART:20250514T070000Z DTEND:20250514T080000Z DTSTAMP:20260422T122025Z UID:MathMAC/36 DESCRIPTION:Title: Discretising the Stokes-Onsager-Stefan-Maxwell equations of multicomponen t flow\nby Patrick Farrell as part of Modelling of materials - theory\ , model reduction and efficient numerical methods (UNCE MathMAC)\n\n\nAbst ract\nMulticomponent fluids are mixtures of distinct chemical species (i.e . components) that interact through complex physical processes such as cro ss-diffusion and chemical reactions. Additional physical phenomena often m ust be accounted for when modelling these fluids\; examples include moment um transport\, thermal effects\, and (for charged species) electrical effe cts.\n\nDespite the ubiquity of chemical mixtures in nature and engineerin g\, multicomponent fluids have received almost no attention from the finit e element community\, with many important applications remaining out of re ach from numerical methods currently available in the literature.\n\nIn th is talk\, we present a novel class of high-order finite element methods fo r simulating cross-diffusion and momentum transport (i.e. convection) in m ulticomponent fluids modelled with the Stokes-Onsager-Stefan-Maxwell equat ions. Our model can also incorporate local electroneutrality when the spec ies carry electrical charge\, making the numerical methods particularly de sirable for simulating liquid electrolytes in electrochemical applications . We discuss challenges that arise when discretising the partial different ial equations of multicomponent flow\, as well as some salient theoretical properties of our numerical schemes.\n\nFinally\, we present numerical si mulations involving (i) the microfluidic non-ideal mixing of hydrocarbons and (ii) the transient evolution of a lithium-ion battery electrolyte in a Hull cell electrode.\n LOCATION:https://researchseminars.org/talk/MathMAC/36/ END:VEVENT END:VCALENDAR