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[02640] High-Order Finite Element Schemes for Multicomponent Flow Problems

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @E711
  • Type : Contributed Talk
  • Abstract : The Stokes–Onsager–Stefan–Maxwell (SOSM) equations model the flow of concentrated mixtures of distinct chemical species in a common thermodynamic phase. We derive a novel variational formulation of these nonlinear equations in which the species mass fluxes are treated as unknowns. This new formulation leads to a large class of high-order finite element schemes with desirable linear-algebraic properties. The schemes are provably convergent when applied to a linearization of the SOSM problem.
  • Classification : 65N30, 76T30, 35Q35
  • Format : Talk at Waseda University
  • Author(s) :
    • Aaron Matthew Baier-Reinio (University of Oxford)
    • Patrick Farrell (University of Oxford)